Updates

Math

Discrete Fourier transform

math.transform.dft · discrete-fourier-transform

DFT and FFT share input replay

Preserves invalid or incomplete Fourier share inputs and consistently restores aliases and JSON complex sequences.

• Unknown modes remain errors; shared empty or missing samples no longer inherit examples, while four discovery modes remain locked.
• Browser hydration and SSR agree on supported aliases and JSON sequences; raw JSON remains intact in copied links.
• Chrome verifies error persistence, editing recovery, actual copied-link reopening, historical-version notice and refreshed Evidence.

Calculation version

Calculation version remains 1.2.1; share replay fixes bind a fresh verification revision.

Review revision

2026-10-07.dft-share-replay

Release ID

Not released

Verification

No matching attestation snapshot

Math

Discrete Fourier transform

math.transform.dft · discrete-fourier-transform

DFT nonzero publication and scale 1.2.1

Preserves small Fourier components, displays complex first bins and scales spectrum figures to the peak while rejecting nonfinite outputs.

• Input and output components and magnitudes use 12 significant digits without near-zero clamping; complex result cards and figure captions agree.
• Reference-peak-normalized CVP tolerance rejects erased significant tiny bins while allowing near-null roundoff; four modes gain tiny real and imaginary impulse coverage.
• Chrome verifies visible small spectra, complex inverse output, range errors and versioned Evidence; sharing and sequence summaries remain separate review items.

Calculation version

DFT calculation version 1.2.0 to 1.2.1 across canonical, DFT, inverse DFT, FFT and IFFT entries.

Review revision

2026-10-07.dft-publication-scale-range

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE complete input summary and CSV

Records full ODE equation inputs in successful and failed result summaries and CSV exports.

• Shared summaries include method, RHS, initial state, both time bounds, steps and applicable coefficient inputs without truncation.
• Browser calculations and summaries use the same replay or edited state; SSR successful summaries share the formatter.
• Chrome and two actual downloaded CSV files verify complete polynomial coefficients and explicit missing inputs on failed requests.

Calculation version

Input summary and verification revision changed; calculation version remains 1.0.4.

Review revision

2026-10-07.ode-input-summary

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE share input replay

Preserves invalid modes and missing or blank required inputs instead of silently replacing shared states with examples.

• A shared ODE state helper handles existing aliases, discovery locks and engine optional defaults; hydration recalculates the same inputs.
• SSR and browser reject explicit whitespace modes consistently; URL values are assigned as control text rather than HTML attributes.
• Runtime hydration tests join CI; Chrome verifies errors, editing recovery, copied-link reopen and the formal old-version notice.

Calculation version

Input replay and verification revision changed; calculation version remains 1.0.4.

Review revision

2026-10-07.ode-share-replay

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE scaled linear steps 1.0.4

Keeps linear Euler and RK4 recurrence states binary-scaled to avoid repeated subnormal quantization and intermediate derivative overflow.

• Signed normal mantissas and binary exponents preserve recurrence state; only trajectory and final values are converted to binary64.
• Independent closed amplification references verify positive and negative subnormal decays and large-rate short-time cases without widening tolerance.
• Chrome verifies the corrected Euler subnormal sample, finite RK4 large-rate result and versioned Evidence; polynomial stage evaluation remains unchanged.

Calculation version

ODE calculation version 1.0.3 to 1.0.4 across canonical, Euler and Runge–Kutta entries.

Review revision

2026-10-07.ode-scaled-linear-steps

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE CVP strict zero reference gate

Rejects nonzero replacements of zero references and retains the strict relative gate for nonzero subnormal references.

• Zero oracle references require numerical zero instead of a 1e-12 absolute allowance; signed zero remains accepted.
• Eight mutation checks reject tiny wrong values or false zeros; the known subnormal step discrepancy remains an explicitly failing diagnostic.
• Existing 21 golden cases pass; updated versioned Evidence retains local verification and stale production status.

Calculation version

CVP comparison and verification revision changed; calculation version remains 1.0.3.

Review revision

2026-10-07.ode-zero-cvp-gate

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE plot dynamic range explanation

Explains when a linear y-axis visually compresses small nonzero values in wide-range trajectories.

• Plot status checks visible nonzero magnitudes across samples and anchors and explains linear-axis compression for ratios below 1e-12.
• Chrome verifies growth and decay in Overview and Focus, ordinary-scale absence and readable graph status.
• Calculation version and numerical suite remain unchanged; Evidence is rebound to the presentation revision.

Calculation version

Plot presentation and verification revision changed; calculation version remains 1.0.3.

Review revision

2026-10-07.ode-plot-dynamic-range

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE numerical zero and subnormal precision presentation

Distinguishes zero fixed-step results from nonzero analytic references and explains reduced relative precision for subnormal results.

• Shared browser and SSR warnings cover discrete cancellation or underflow without changing the solver or rejecting valid zero amplification.
• Independent fixed-step oracle cases cover numerical underflow, zero amplification and a subnormal constant state.
• Chrome verifies warnings, actual step-count recovery and current versioned Evidence; broader subnormal step precision remains under review.

Calculation version

Presentation and verification revision changed; calculation version remains 1.0.3.

Review revision

2026-10-07.ode-zero-precision-presentation

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE step-size stability presentation

Explains nondecaying or sign-alternating fixed steps for linear decay and shows relative difference from the analytic reference.

• Shared SSR and browser presentation classifies Euler and RK4 amplification using raw input coefficients and preserved time boundaries.
• Zero initial states suppress hypothetical step-size warnings; zero references omit undefined relative differences.
• Chrome verifies both warnings, clearing after increasing steps and versioned Evidence; calculation version remains 1.0.3.

Calculation version

Presentation and verification revision changed; calculation version remains 1.0.3.

Review revision

2026-10-07.ode-stability-presentation

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE exponential reference range 1.0.3

Computes representable analytic exponential products across intermediate overflow or underflow, preserves zero initial states and rejects genuine nonzero reference underflow.

• Analytic linear references retain ordinary multiplication and use signed log-magnitude fallback for extreme scales.
• Independent O2 uses bounded binary-power scaling and closed fixed-step amplification, separating numerical step results from analytic IVP accuracy.
• Chrome verifies finite growth and decay references, true underflow rejection, zero-state recovery and versioned Evidence.

Calculation version

ODE calculation version 1.0.2 to 1.0.3 across canonical, Euler and Runge–Kutta entries.

Review revision

2026-10-07.ode-exponential-range

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE time grid and short-interval reference 1.0.2

Anchors ODE stage times, rejects unrepresentable grids and preserves distinct time boundaries in outputs and share links.

• Euler and RK4 now validate advancing grid nodes and representable RK4 midpoints; trajectory times no longer accumulate repeated-addition drift.
• Polynomial references use a shifted interval; independent O2 evaluates exact rational antiderivative differences over binary64 inputs.
• Chrome verifies collapsed-grid rejection, shifted-time results, short-interval nonzero solutions and actual share-link reopen with full time boundaries.

Calculation version

ODE calculation version 1.0.1 to 1.0.2 across canonical, Euler and Runge–Kutta entries.

Review revision

2026-10-07.ode-time-grid

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE graph scales and nonzero labels

Preserves nonzero ODE graph labels and uses relative windows for tiny ordinates and time intervals.

• Overview and Focus windows follow the actual trajectory scale instead of fixed absolute padding.
• Bounded tick generation and compact axis labels keep tiny-scale plots readable; endpoint labels face inward to avoid clipping.
• Chrome verifies RK4 small ordinates, tiny time intervals and Euler backward Focus; numerical calculation version remains 1.0.1.

Calculation version

Presentation fix and CVP verification revision only; ODE calculation version remains 1.0.1.

Review revision

2026-10-07.ode-plot-scales

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

ODE publication and finite range 1.0.1

Preserves nonzero small ODE results, rejects nonfinite step or reference outputs and labels the historical signed error accurately.

• ODE numeric publication uses 12 significant digits without near-zero clearing; finite range checks cover step size, step result, reference, error and published values.
• Independent closed-form O2 comparisons require relative tolerance for nonzero results; scaled and numerical-range scenarios expand CVP coverage.
• Chrome verifies RK4 small-scale output, ODE range rejection, Euler recovery and signed error labels, plus versioned Evidence.

Calculation version

ODE calculation version 1.0.0 to 1.0.1 across canonical, Euler and Runge–Kutta discovery entries.

Review revision

2026-10-07.ode-publication-range-ui

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Lagrange ordinate range stability 1.1.4

Normalizes Lagrange ordinates and compensates summation to avoid intermediate overflow for finite polynomial results.

• Nine-node constant data at 1e308 previously failed even for an in-range query; constant interpolation identity now returns the finite ordinate.
• Independent O2 now uses Newton divided differences and nested evaluation, with large and tiny polynomial golden coverage.
• Chrome verifies constant and affine results, curves and versioned Evidence; the production binding remains STALE.

Calculation version

Interpolation calculation version 1.1.3 to 1.1.4 across canonical, spline discovery and workspace surfaces.

Review revision

2026-10-07.lagrange-ordinate-range

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Natural spline normalized numerical range 1.1.3

Normalizes spline coordinates and ordinates to avoid intermediate overflow or underflow for representable non-node results.

• Extreme uniform coordinate and ordinate scales now return finite spline answers and render curves.
• Independent O2 uses a first-derivative continuity system and cubic Hermite evaluation; CVP adds scaled, shifted and uneven-grid cases.
• Collapsed normalized spacing remains a range error; Chrome verifies tiny and huge scales, large ordinates and versioned Evidence.

Calculation version

Interpolation calculation version 1.1.2 to 1.1.3 across canonical, spline discovery and workspace surfaces.

Review revision

2026-10-07.spline-normalized-range

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Interpolation exact-node consistency 1.1.2

Returns supplied node values before Lagrange or spline arithmetic and avoids drawing curves across failed interior samples.

• Spline previously rejected representable node answers when extreme coordinate or ordinate scales overflowed the moment evaluation.
• Strict node lookup preserves interpolation identity with existing validation and 12-digit publication; independent O2 node expectations add scaled interior and endpoint coverage.
• Chrome verifies node success, explicit figure unavailability, non-node range rejection, ordinary recovery and versioned Evidence.

Calculation version

Interpolation calculation version 1.1.1 to 1.1.2 across canonical, spline discovery and workspace surfaces.

Review revision

2026-10-07.interpolation-node-identity

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Interpolation complete input summaries and CSV verification

Result and CSV summaries preserve complete node inputs, query, method and extrapolation settings, including failed requests.

• A shared plain-text summary replaces x-and-node-count-only text in client and SSR success results; raw table and two-point aliases remain inspectable.
• Client error summaries retain the requested method and parameters and avoid displaying a successful linear formula.
• Two real Chrome downloads verify a tiny extrapolated value and all 20 long-table nodes, result, extrapolation flag and versioned URL. Evidence revision is rebound with unchanged numerical tests.

Calculation version

Input presentation and export review; calculation version remains 1.1.1, with a new Evidence verification revision.

Review revision

2026-10-07.interpolation-input-summary

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Interpolation share input replay correctness

Restores shared interpolation inputs without silently replacing unknown methods or incomplete fields with examples.

• Unknown methods remain visible and fail; example defaults are used only for ordinary entry without interpolation input parameters.
• Canonical and spline entries restore table aliases and complete two-point inputs; original URL engine inputs persist until an explicit edit.
• Chrome verifies unknown-method errors, two-point result 20 and refresh, empty-query error recovery, table alias result 2 and missing-table refresh.

Calculation version

Client share input replay fix; interpolation calculation version remains 1.1.1.

Review revision

2026-10-07.interpolation-input-replay

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Interpolation extrapolation share state consistency

Preserves the extrapolation switch across copied links, URL hydration and refresh in interpolation and spline entries.

• The default checkbox token on previously became unchecked during generic hydration while the page could retain an extrapolated result.
• The interpolation runtime writes true, restores accepted boolean aliases locally, clears absent switches and recalculates after hydration.
• Chrome verifies actual copied links, enabled and disabled refresh, and legacy spline on links; a regression exercises the real runtime snapshot/hydration functions.

Calculation version

UI share-state fix; interpolation calculation version remains 1.1.1.

Review revision

2026-10-07.interpolation-extrapolate-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Interpolation scale and numerical range correctness 1.1.1

Preserves small nonzero interpolated values and aligns graph scales, labels and range errors across interpolation methods.

• Publishes 12 significant digits without zero clamping; weighted linear interpolation avoids overflowing endpoint differences at large midpoints.
• Normalized graph coordinates preserve tiny abscissae and ordinates, scientific labels and finite rendering.
• Nonfinite table widths or evaluated/published values return NUMERICAL_RANGE_ERROR; strict nonzero CVP checks and Chrome cover scale, error recovery and versioned Evidence.

Calculation version

Interpolation calculation version 1.1.0 to 1.1.1 across canonical, spline discovery and workspace surfaces.

Review revision

2026-10-07.interpolation-scale-range

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

One-dimensional optimization numerical range guards 1.0.3

Rejects nonrepresentable function values and interval widths, and bounds sine analytical-reference computation.

• Previously successful overflow results serialized Infinity and NaN as null; an unsafe sine reference loop could exhaust the local test process.
• Finite endpoint, iteration and published-result checks return NUMERICAL_RANGE_ERROR; exp underflow to zero and unsafe sine phase indices are rejected.
• Sine reference uses one trough candidate instead of enumerating all periods. Ten new invalid vectors and two interface error scenes pass; Chrome verifies errors, recovery and 1.0.3 Evidence.

Calculation version

Optimization calculation version 1.0.2 to 1.0.3 across canonical, discovery and workspace surfaces.

Review revision

2026-10-07.optimization-range-guards

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

Cubic optimization reference correctness 1.0.2

Normalizes stationary-point coefficients and removes fixed near-zero classification from cubic analytical references.

• Tiny cubic objectives previously returned an incorrect endpoint reference even when iterative methods found the interior minimum.
• The engine normalizes nonconstant coefficients before differentiation and uses cancellation-safe roots for the stationary-point quadratic.
• Independent completed-square O2 adds six cubic scenes across shifted, small and large scales; Chrome verifies Brent and Golden results and 1.0.2 Evidence.

Calculation version

Optimization calculation version 1.0.1 to 1.0.2 across canonical, discovery and workspace surfaces.

Review revision

2026-10-07.optimization-cubic-reference

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

One-dimensional optimization small-scale correctness 1.0.1

Preserves small quadratic reference coefficients and nonzero results, and normalizes figure scaling.

• A positive tiny quadratic previously reported the left endpoint as its analytical minimum; nonzero quadratic derivative coefficients now retain the vertex.
• Twelve-significant-digit publication preserves nonzero xmin, fmin, reference and error fields. Normalized vertical projection prevents tiny curves from appearing flat.
• Independent completed-square O2 adds six small-scale scenes; Chrome checks the corrected reference, visible curve, nonzero CSV values and versioned Evidence.

Calculation version

Optimization calculation version 1.0.0 to 1.0.1 across canonical and discovery entries and workspaces.

Review revision

2026-10-07.optimization-small-scale

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

One-dimensional optimization figure and error labels

Preserves nonzero plotted coordinates and identifies signed reference differences and unavailable analytical references.

• Chrome confirms xmin=0.001 and fmin=0.000999 previously appeared as (0,0) in the figure; labels now preserve six significant digits.
• The figure accessible name includes both published coordinates, and interval labels support scientific notation.
• The signed abs_err_x field is labeled xmin − reference; results without an analytical reference explicitly report no location-error estimate.

Calculation version

Presentation only; canonical numerical algorithm and calculation version remain unchanged.

Review revision

2026-10-07.optimization-label-consistency

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

Numerical Workspace Evidence and metric semantics: derivative

Adds a current-version Evidence link and explains comparison metrics without implying unavailable errors are zero.

• The result-panel Evidence link follows the selected capability and calculation version.
• Interpolation spread requires two successful methods; missing reference error remains unavailable.
• Root residual and signed difference columns receive explicit semantics; Chrome opens interpolation and root versioned Evidence.

Calculation version

Workspace summary and UI changes only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-evidence

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Numerical Workspace Evidence and metric semantics: integral

Adds a current-version Evidence link and explains comparison metrics without implying unavailable errors are zero.

• The result-panel Evidence link follows the selected capability and calculation version.
• Interpolation spread requires two successful methods; missing reference error remains unavailable.
• Root residual and signed difference columns receive explicit semantics; Chrome opens interpolation and root versioned Evidence.

Calculation version

Workspace summary and UI changes only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-evidence

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Numerical Workspace Evidence and metric semantics: interpolate

Adds a current-version Evidence link and explains comparison metrics without implying unavailable errors are zero.

• The result-panel Evidence link follows the selected capability and calculation version.
• Interpolation spread requires two successful methods; missing reference error remains unavailable.
• Root residual and signed difference columns receive explicit semantics; Chrome opens interpolation and root versioned Evidence.

Calculation version

Workspace summary and UI changes only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-evidence

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

Numerical Workspace Evidence and metric semantics: optimize

Adds a current-version Evidence link and explains comparison metrics without implying unavailable errors are zero.

• The result-panel Evidence link follows the selected capability and calculation version.
• Interpolation spread requires two successful methods; missing reference error remains unavailable.
• Root residual and signed difference columns receive explicit semantics; Chrome opens interpolation and root versioned Evidence.

Calculation version

Workspace summary and UI changes only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-evidence

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Workspace Evidence and metric semantics: root

Adds a current-version Evidence link and explains comparison metrics without implying unavailable errors are zero.

• The result-panel Evidence link follows the selected capability and calculation version.
• Interpolation spread requires two successful methods; missing reference error remains unavailable.
• Root residual and signed difference columns receive explicit semantics; Chrome opens interpolation and root versioned Evidence.

Calculation version

Workspace summary and UI changes only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-evidence

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

Numerical Workspace share and result state: derivative

Rejects malformed share requests, replaces omitted form fields and invalidates stale comparisons after editing.

• Shared object-fragment parsing distinguishes absent state from malformed URI/JSON and non-object JSON.
• Unknown operations are rejected; omitted inputs stay empty and polynomial coefficients cannot silently use defaults.
• Chrome verifies malformed startup, unknown-operation rejection, incomplete replay, valid derivative/interpolation recovery and input-edit invalidation.

Calculation version

Workspace state and validation only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Numerical Workspace share and result state: integral

Rejects malformed share requests, replaces omitted form fields and invalidates stale comparisons after editing.

• Shared object-fragment parsing distinguishes absent state from malformed URI/JSON and non-object JSON.
• Unknown operations are rejected; omitted inputs stay empty and polynomial coefficients cannot silently use defaults.
• Chrome verifies malformed startup, unknown-operation rejection, incomplete replay, valid derivative/interpolation recovery and input-edit invalidation.

Calculation version

Workspace state and validation only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

Numerical Workspace share and result state: interpolate

Rejects malformed share requests, replaces omitted form fields and invalidates stale comparisons after editing.

• Shared object-fragment parsing distinguishes absent state from malformed URI/JSON and non-object JSON.
• Unknown operations are rejected; omitted inputs stay empty and polynomial coefficients cannot silently use defaults.
• Chrome verifies malformed startup, unknown-operation rejection, incomplete replay, valid derivative/interpolation recovery and input-edit invalidation.

Calculation version

Workspace state and validation only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

Numerical Workspace share and result state: optimize

Rejects malformed share requests, replaces omitted form fields and invalidates stale comparisons after editing.

• Shared object-fragment parsing distinguishes absent state from malformed URI/JSON and non-object JSON.
• Unknown operations are rejected; omitted inputs stay empty and polynomial coefficients cannot silently use defaults.
• Chrome verifies malformed startup, unknown-operation rejection, incomplete replay, valid derivative/interpolation recovery and input-edit invalidation.

Calculation version

Workspace state and validation only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Workspace share and result state: root

Rejects malformed share requests, replaces omitted form fields and invalidates stale comparisons after editing.

• Shared object-fragment parsing distinguishes absent state from malformed URI/JSON and non-object JSON.
• Unknown operations are rejected; omitted inputs stay empty and polynomial coefficients cannot silently use defaults.
• Chrome verifies malformed startup, unknown-operation rejection, incomplete replay, valid derivative/interpolation recovery and input-edit invalidation.

Calculation version

Workspace state and validation only; canonical calculation version retained.

Review revision

2026-10-07.numerical-workspace-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

Function Workspace invalid share handling: derivative

Rejects malformed share state and unknown operations without restoring unrelated local results.

• Malformed JSON, invalid URI encoding and non-object JSON produce explicit errors instead of local-history fallback.
• Unknown or missing operations, including inherited property names, clear form and result state and disable Copy result.
• Chrome verifies rejection, valid-link recovery and normal local-history restoration; canonical numerical algorithms remain unchanged.

Calculation version

Workspace share validation only; calculation version retained.

Review revision

2026-10-07.function-workspace-invalid-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

Function Workspace invalid share handling: extrema

Rejects malformed share state and unknown operations without restoring unrelated local results.

• Malformed JSON, invalid URI encoding and non-object JSON produce explicit errors instead of local-history fallback.
• Unknown or missing operations, including inherited property names, clear form and result state and disable Copy result.
• Chrome verifies rejection, valid-link recovery and normal local-history restoration; canonical numerical algorithms remain unchanged.

Calculation version

Workspace share validation only; calculation version retained.

Review revision

2026-10-07.function-workspace-invalid-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Function Workspace invalid share handling: integral

Rejects malformed share state and unknown operations without restoring unrelated local results.

• Malformed JSON, invalid URI encoding and non-object JSON produce explicit errors instead of local-history fallback.
• Unknown or missing operations, including inherited property names, clear form and result state and disable Copy result.
• Chrome verifies rejection, valid-link recovery and normal local-history restoration; canonical numerical algorithms remain unchanged.

Calculation version

Workspace share validation only; calculation version retained.

Review revision

2026-10-07.function-workspace-invalid-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Function Workspace invalid share handling: root

Rejects malformed share state and unknown operations without restoring unrelated local results.

• Malformed JSON, invalid URI encoding and non-object JSON produce explicit errors instead of local-history fallback.
• Unknown or missing operations, including inherited property names, clear form and result state and disable Copy result.
• Chrome verifies rejection, valid-link recovery and normal local-history restoration; canonical numerical algorithms remain unchanged.

Calculation version

Workspace share validation only; calculation version retained.

Review revision

2026-10-07.function-workspace-invalid-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

Derivative and limit figure scale consistency

Preserves tiny graph coordinates and slope labels, uses local sampling and normalized vertical scaling, and labels signed error consistently.

• Chrome previously showed slope 0 next to a 5e-324 primary result; scientific figure labels now preserve nonzero values.
• Local windows and normalized padding reveal small-scale curves; subnormal quantization is explicitly explained.
• Approx − exact replaces the absolute-error label for the existing signed error field. Numerical algorithms and calculation version 1.1.2 remain unchanged.

Calculation version

Figure and UI presentation only; calculation version 1.1.2 retained.

Review revision

2026-10-07.derivative-figure-scale

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

sin/exp numerical stencil stability 1.1.2

Uses equivalent elementary identities to prevent small-step cancellation in numerical derivatives and limits; rejects exp underflow to zero.

• sin addition identities and expm1/sinh/cosh preserve finite-step stencils when direct function subtraction loses changes.
• Independent O2 includes tiny-step and subnormal-exp partitions; 100-digit mpmath direct finite differences independently check 12 cases.
• Chrome verifies sin tiny-step sharing, exp subnormal CSV, explicit underflow error and versioned Evidence. Subnormal relative accuracy remains limited by binary64 quantization.

Calculation version

Calculation version 1.1.1 to 1.1.2 for numerical derivative and two-sided-limit entries.

Review revision

2026-10-07.derivative-elementary-stability

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

Numerical derivative small-scale stability 1.1.1

Preserves tiny derivative and limit values, cancels polynomial constant offsets before floating-point subtraction, and rejects non-finite numerical results.

• Horner divided differences stabilize polynomial forward/backward/central stencils while retaining finite-step truncation.
• Derivative publication preserves nonzero values at 12 significant digits; signed error uses published value and baseline. Stable probe mean avoids same-sign overflow.
• Independent O2 comparator uses relative tolerance at every nonzero scale; tiny-value zero mutations fail. Chrome verifies calculator/workspace, versioned sharing, CSV and Evidence.

Calculation version

Calculation version 1.1.0 to 1.1.1 for numerical derivative and two-sided-limit entries.

Review revision

2026-10-07.derivative-small-scale-iface2

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

Function Workspace derivative deterministic replay

Incomplete workspace links no longer inherit previous form values or silently substitute a function or method.

• Snapshot application replaces all function fields; absent coordinates, endpoints and coefficients stay empty.
• Workspace polynomial requests require explicit coefficients; replay rejects unsupported functions and methods.
• Chrome confirms missing x/b/coefficients errors, unsupported method/function errors and successful zero-coordinate recovery. Numerical engines unchanged.

Calculation version

Workspace replay and input policy correction; canonical numerical engines and calculation versions unchanged.

Review revision

2026-10-07.function-workspace-replay

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Function Workspace integral deterministic replay

Incomplete workspace links no longer inherit previous form values or silently substitute a function or method.

• Snapshot application replaces all function fields; absent coordinates, endpoints and coefficients stay empty.
• Workspace polynomial requests require explicit coefficients; replay rejects unsupported functions and methods.
• Chrome confirms missing x/b/coefficients errors, unsupported method/function errors and successful zero-coordinate recovery. Numerical engines unchanged.

Calculation version

Workspace replay and input policy correction; canonical numerical engines and calculation versions unchanged.

Review revision

2026-10-07.function-workspace-replay

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

Function Workspace minimum deterministic replay

Incomplete workspace links no longer inherit previous form values or silently substitute a function or method.

• Snapshot application replaces all function fields; absent coordinates, endpoints and coefficients stay empty.
• Workspace polynomial requests require explicit coefficients; replay rejects unsupported functions and methods.
• Chrome confirms missing x/b/coefficients errors, unsupported method/function errors and successful zero-coordinate recovery. Numerical engines unchanged.

Calculation version

Workspace replay and input policy correction; canonical numerical engines and calculation versions unchanged.

Review revision

2026-10-07.function-workspace-replay

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Function Workspace root deterministic replay

Incomplete workspace links no longer inherit previous form values or silently substitute a function or method.

• Snapshot application replaces all function fields; absent coordinates, endpoints and coefficients stay empty.
• Workspace polynomial requests require explicit coefficients; replay rejects unsupported functions and methods.
• Chrome confirms missing x/b/coefficients errors, unsupported method/function errors and successful zero-coordinate recovery. Numerical engines unchanged.

Calculation version

Workspace replay and input policy correction; canonical numerical engines and calculation versions unchanged.

Review revision

2026-10-07.function-workspace-replay

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

Function Workspace derivative polynomial scope correction

Corrects polynomial parity for string and tiny coefficients; invalid input no longer asserts a valid function domain.

• Parses UI string coefficients before classifying parity; only exact zero is ignored.
• Zero polynomial is both even and odd; invalid coefficient lists and unsupported functions show unknown scope.
• Input edits refresh scope before invalidating results. Chrome verifies odd, mixed, zero and invalid polynomial states.

Calculation version

Workspace explanatory scope only; numerical calculation version retained.

Review revision

2026-10-07.function-workspace-scope

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Function Workspace integral polynomial scope correction

Corrects polynomial parity for string and tiny coefficients; invalid input no longer asserts a valid function domain.

• Parses UI string coefficients before classifying parity; only exact zero is ignored.
• Zero polynomial is both even and odd; invalid coefficient lists and unsupported functions show unknown scope.
• Input edits refresh scope before invalidating results. Chrome verifies odd, mixed, zero and invalid polynomial states.

Calculation version

Workspace explanatory scope only; numerical calculation version retained.

Review revision

2026-10-07.function-workspace-scope

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

Function Workspace minimum polynomial scope correction

Corrects polynomial parity for string and tiny coefficients; invalid input no longer asserts a valid function domain.

• Parses UI string coefficients before classifying parity; only exact zero is ignored.
• Zero polynomial is both even and odd; invalid coefficient lists and unsupported functions show unknown scope.
• Input edits refresh scope before invalidating results. Chrome verifies odd, mixed, zero and invalid polynomial states.

Calculation version

Workspace explanatory scope only; numerical calculation version retained.

Review revision

2026-10-07.function-workspace-scope

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Function Workspace root polynomial scope correction

Corrects polynomial parity for string and tiny coefficients; invalid input no longer asserts a valid function domain.

• Parses UI string coefficients before classifying parity; only exact zero is ignored.
• Zero polynomial is both even and odd; invalid coefficient lists and unsupported functions show unknown scope.
• Input edits refresh scope before invalidating results. Chrome verifies odd, mixed, zero and invalid polynomial states.

Calculation version

Workspace explanatory scope only; numerical calculation version retained.

Review revision

2026-10-07.function-workspace-scope

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

Function Workspace derivative result invalidation

Clears previous workspace results and graphs on input edits to prevent JSON combining new inputs with old results.

• Copy result is disabled until successful computation and stays disabled on errors or version mismatch.
• Copy JSON exports edited inputs without a result until recomputation succeeds.
• Chrome confirms the original mixed-input/result bug and derivative edit, recompute and invalid-input flows. No calculation algorithm change.

Calculation version

Workspace result-state fix; current calculation version retained.

Review revision

2026-10-07.function-workspace-result-state

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Function Workspace integral result invalidation

Clears previous workspace results and graphs on input edits to prevent JSON combining new inputs with old results.

• Copy result is disabled until successful computation and stays disabled on errors or version mismatch.
• Copy JSON exports edited inputs without a result until recomputation succeeds.
• Chrome confirms the original mixed-input/result bug and derivative edit, recompute and invalid-input flows. No calculation algorithm change.

Calculation version

Workspace result-state fix; current calculation version retained.

Review revision

2026-10-07.function-workspace-result-state

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

Function Workspace minimum result invalidation

Clears previous workspace results and graphs on input edits to prevent JSON combining new inputs with old results.

• Copy result is disabled until successful computation and stays disabled on errors or version mismatch.
• Copy JSON exports edited inputs without a result until recomputation succeeds.
• Chrome confirms the original mixed-input/result bug and derivative edit, recompute and invalid-input flows. No calculation algorithm change.

Calculation version

Workspace result-state fix; current calculation version retained.

Review revision

2026-10-07.function-workspace-result-state

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Function Workspace root result invalidation

Clears previous workspace results and graphs on input edits to prevent JSON combining new inputs with old results.

• Copy result is disabled until successful computation and stays disabled on errors or version mismatch.
• Copy JSON exports edited inputs without a result until recomputation succeeds.
• Chrome confirms the original mixed-input/result bug and derivative edit, recompute and invalid-input flows. No calculation algorithm change.

Calculation version

Workspace result-state fix; current calculation version retained.

Review revision

2026-10-07.function-workspace-result-state

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Function Workspace integral version alignment

Aligns local workspace results and share links with the current calculator version; adds operation-specific engine Evidence access.

• Function and Numerical workspaces share a numerical version map.
• Old version fragments require explicit recalculation; stored results are ignored.
• Chrome verifies current results, copied root link replay and actual root/integral Evidence destinations. Calculation algorithms unchanged.

Calculation version

Workspace metadata and Evidence access only; existing calculation version retained.

Review revision

2026-10-07.function-workspace-version

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Function Workspace root version alignment

Aligns local workspace results and share links with the current calculator version; adds operation-specific engine Evidence access.

• Function and Numerical workspaces share a numerical version map.
• Old version fragments require explicit recalculation; stored results are ignored.
• Chrome verifies current results, copied root link replay and actual root/integral Evidence destinations. Calculation algorithms unchanged.

Calculation version

Workspace metadata and Evidence access only; existing calculation version retained.

Review revision

2026-10-07.function-workspace-version

Release ID

Not released

Verification

No matching attestation snapshot

Math

Quadratic formula

math.quadratic · quadratic

Quadratic small-scale graph consistency

Aligns graph classification with the shared engine and preserves tiny-coordinate labels and focus windows.

• Removes duplicated graph discriminant and leading-coefficient thresholds; uses shared roots and vertex.
• Relative Focus windows and vertical padding reveal tiny roots; quadratic Canvas/SVG tick and coordinate labels retain nonzero values.
• Relative tick-start tolerance avoids large iteration counts at tiny scales. Chrome screenshots confirm roots and scientific-notation axes.
• Calculation version 1.1.1 retained; no deployment or expert review. Extended Function Workspace check found a separate stale root version pin.

Calculation version

Graph presentation only; calculation version 1.1.1 retained.

Review revision

2026-10-07.quadratic-small-scale-plot

Release ID

Not released

Verification

No matching attestation snapshot

Math

Quadratic formula

math.quadratic · quadratic

Quadratic small-discriminant and numeric-range corrections

Preserves tiny nonzero discriminants and coefficients, rejects unrepresentable calculations, and bounds optional radical simplification.

• Small positive and negative discriminants retain real/complex classification; nonzero leading coefficients are accepted when arithmetic is representable.
• NUMERICAL_RANGE_ERROR replaces success payloads containing non-finite roots or underflowed discriminant products. Tiny values remain visible.
• O3 mpmath vectors expanded to 12; CVP 40 golden, 10 invalid and 11 interface checks. Verification revision 2026-10-07.quadratic-range-boundaries.
• Chrome validates corrected results, old-link warning, new-version clipboard replay, actual CSV and Evidence. Preview only; production STALE and no expert review.

Calculation version

Calculation version 1.1.0 to 1.1.1; corrected classifications and numeric range errors.

Review revision

2026-10-07.quadratic-range-boundaries

Release ID

Not released

Verification

No matching attestation snapshot

Math

Quadratic formula

math.quadratic · quadratic

Quadratic inequality independent CVP coverage

Adds independent sign-chart interval verification and SSR/REST/MCP coverage for quadratic inequalities.

• 26 new golden vectors cover both opening directions, four relations, two/repeated/no-real-root branches, nonzero rhs and fraction coefficients.
• Adds three invalid cases, four alias interface vectors and one invalid-op interface case; comparator mutation checks reject corrupted intervals and parameters.
• Verification revision 2026-10-07.quadratic-inequality-cvp; original nine O3 root vectors and their limited ULP claim retained.
• Chrome Evidence shows 14/14 partitions, 35/35 golden and 7/7 cross-interface. New Evidence is production STALE; no deployment or expert review.

Calculation version

Calculation version 1.1.0 retained; verification revision advanced.

Review revision

2026-10-07.quadratic-inequality-cvp

Release ID

Not released

Verification

No matching attestation snapshot

Math

Quadratic formula

math.quadratic · quadratic

Quadratic error inputs and browser review

Preserves coefficients and inequality parameters on errors; checks roots, interval boundaries and fraction sharing.

• Error cards retain a/b/c and, for inequalities, rhs/op.
• Chrome checks cover four quick examples, fractions, repeated/no-real-root intervals, errors and recovery, clipboard replay, actual CSV and Evidence.
• Current CVP pack covers root partitions; inequality independent CVP coverage remains a documented gap.
• Calculation version 1.1.0 retained; no deployment or expert review.

Calculation version

Browser error presentation only; calculation version 1.1.0 retained.

Review revision

2026-10-07.quadratic-browser-error-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Linear equation

math.algebra.linear_equation · linear-equation

Linear equation family error context

Preserves coefficients, right-hand side and operator on errors across six equation and inequality entries.

• Invalid absolute-value input is explicitly marked; linear inequality error formula retains the original relation and negative-coefficient rule.
• Chrome checks cover degenerate equations, absolute-value branches, negative-coefficient operator changes, rational poles, clipboard replay, actual CSV and Evidence.
• Calculation version 1.5.0 retained; Preview only, no deployment or expert review.

Calculation version

UI error context only; calculation version 1.5.0 retained.

Review revision

2026-10-07.linear-browser-error-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Prime factorization

math.prime_factorization · prime-factorization

Primality of one and prime error context

Displays one as neither prime nor composite and preserves selected mode and input on errors.

• Shared primality presentation no longer calls n=1 composite while its explanation says neither.
• Errors retain n and the selected primality/factorization mode. Integer share text is kept verbatim.
• Chrome checks cover primality 1/2/4, zero and fractional errors, the 10^12 factorization limit, recovery, mode switch, clipboard replay, actual CSV and Evidence.
• Calculation algorithm/version retained; Preview only, no deployment or expert review.

Calculation version

Version 1.0.0 retained; presentation and integer share text corrected.

Review revision

2026-10-07.prime-browser-unit-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Euclidean remainder / modular inverse

math.modulo · modulo

Modulo error inputs and browser verification

Preserves a and modulus on remainder and inverse errors; verifies version 1.1.1 sharing and Evidence.

• Errors retain entered a and modulus with the appropriate remainder or inverse formula.
• Chrome checks cover negative operands/moduli, zero and unit modulus errors, non-coprime recovery and exact negative integer replay.
• Actual CSV quotient/remainder matches Python integer arithmetic. Versioned Evidence displays signed-bigint CVP revision and production STALE.
• UI-only correction; calculation version 1.1.1 retained, no deployment or expert review.

Calculation version

Version 1.1.1 retained; error presentation corrected.

Review revision

2026-10-07.modulo-browser-error-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Euclidean remainder / modular inverse

math.modulo · modulo

math.modulo signed BigInt publication fix

Preserves negative integers outside the Number safe range as exact decimal strings across engine and interfaces.

• Checks both safe-integer bounds before Number conversion; negative published fields no longer contradict exact values.
• SSR and REST/MCP preserve integer text before numeric coercion. Modulo browser integer links use verbatim input serialization.
• CVP adds negative publication and cross-interface vectors; Sequence comparison checks published values and parameters as well as exact.
• Preview only; CVP VERIFIED with production STALE until Trust Release. No deployment or expert signature.

Calculation version

Patch calculation version for corrected negative integer publication.

Review revision

2026-10-07.signed-bigint-publication

Release ID

Not released

Verification

No matching attestation snapshot

Math

Integer sequences

math.sequences · sequence

math.sequences signed BigInt publication fix

Preserves negative integers outside the Number safe range as exact decimal strings across engine and interfaces.

• Checks both safe-integer bounds before Number conversion; negative published fields no longer contradict exact values.
• SSR and REST/MCP preserve integer text before numeric coercion. Modulo browser integer links use verbatim input serialization.
• CVP adds negative publication and cross-interface vectors; Sequence comparison checks published values and parameters as well as exact.
• Preview only; CVP VERIFIED with production STALE until Trust Release. No deployment or expert signature.

Calculation version

Patch calculation version for corrected negative integer publication.

Review revision

2026-10-07.signed-bigint-publication

Release ID

Not released

Verification

No matching attestation snapshot

Math

Integer sequences

math.sequences · sequence

Sequence exact integer share inputs

Preserves sequence integer input text, preventing scientific notation and Float64 rounding during URL replay.

• All sequence integer fields use verbatim URL serialization across the hub and three aliases.
• Chrome replay retains a=9007199254740993 and returns the correct positive term 9007199254740994; recurrence positive initial values remain intact.
• Fibonacci n=1000 clipboard replay passed; actual CSV F1000 matches an independent Python integer recurrence (209 digits).
• A separate negative-BigInt JSON serialization defect was confirmed and remains unresolved; this Preview does not claim complete integer-domain correctness. Calculation version retained; no deployment or expert review.

Calculation version

Calculation version 1.0.0 retained; URL input serialization fixed. Negative BigInt engine publication requires separate versioned repair.

Review revision

2026-10-07.sequence-integer-share

Release ID

Not released

Verification

No matching attestation snapshot

Math

Permutations and combinations

math.combinatorics · combinatorics

Combinatorics integer sharing and exact CSV

Keeps integer inputs replayable and includes the full exact integer in CSV exports.

• Error summaries preserve n,k and the selected permutation or combination formula.
• Combinatorics n,k opt into verbatim URL serialization so n=1000 is not rewritten to the rejected token 1e3.
• CSV includes optional exact_value and digits from the result snapshot; the Result Card retains its compact scientific display.
• Chrome boundary checks, recovery, mode switch, C(1000,500) clipboard replay, actual CSV oracle comparison and Evidence navigation passed. Calculation algorithm/version unchanged; no deployment or expert review.

Calculation version

Calculation version 1.0.0 retained; integer URL serialization and CSV presentation fixed.

Review revision

2026-10-07.combinatorics-browser-share-exact

Release ID

Not released

Verification

No matching attestation snapshot

Math

Integer sequences

math.sequences · sequence

Sequence parameters and error formulas

Preserves active sequence parameters in summaries and shows the r=1 geometric sum formula on the Result Card.

• Arithmetic, geometric and recurrence result summaries retain all their parameters; error summaries preserve active inputs and mode-specific formulas.
• Geometric Result Card uses a_n=a and S_n=n·a at r=1 without changing numerical results.
• Chrome checks cover four modes and three aliases, zero index rules, alternating ratio, recurrence recovery, clipboard replay, actual CSV and Evidence navigation.
• Calculation algorithm/version unchanged; Preview only, no deployment or expert review.

Calculation version

Calculation version 1.0.0 retained; summary and formula presentation improved.

Review revision

2026-10-07.sequence-browser-input-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Polynomial roots

math.polynomial.roots · polynomial-roots

Polynomial input context in results and errors

Preserves coefficients, cubic parameters and evaluation x in browser and SSR summaries.

• Result summaries identify constant-first coefficients, cubic a,b,c,d or Horner coefficients and x instead of only degree and solver.
• Invalid input summaries retain entered coefficients or cubic parameters, including failed evaluation x.
• Chrome checks cover all three entries, real/complex/repeated/linear roots, quartic iteration, leading-coefficient and degree errors, Horner recovery, real clipboard replay, actual CSV and Evidence.
• Calculation algorithm/version unchanged; Preview only, no deployment or expert review.

Calculation version

Calculation version 1.2.1 retained; input summaries improved.

Review revision

2026-10-07.polynomial-browser-input-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Complex numbers

math.complex · complex

Complex operands and active input context

Preserves submitted complex operands in browser and SSR summaries, with mode-specific visible inputs and errors.

• Operand summaries no longer mislabel calculated re/im as input; both operands, n, or polar representation are retained as appropriate.
• The eleven-mode hub and four independent entries enable only required fields; errors retain operation, entered values and formula.
• Real Chrome checks cover eleven hub field sets, four aliases, division by zero, invalid roots, negative radius recovery, direction switch, Euler clipboard replay, actual CSV and Evidence navigation.
• Calculation version 1.1.0 retained; no deployment or expert review.

Calculation version

Calculation version 1.1.0 retained; input presentation and error context changed.

Review revision

2026-10-07.complex-browser-input-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Vector

math.vector · vector

Vector active inputs and error context

Shows only the vector groups required by each mode and keeps actual inputs and formulas on errors.

• Magnitude/normalize enable u; two-vector operations enable u,v; scalar triple product enables u,v,w. Inactive components are omitted from share URLs.
• Error summaries preserve the chosen operation, entered components and corresponding formula. Result labels identify the operation without repeating the value.
• Chrome checks cover nine hub modes, three aliases, zero-vector errors, normalize/projection recovery, clipboard replay, actual CSV and versioned Evidence navigation.
• Calculation algorithm and version unchanged; Preview only, no deployment or expert review.

Calculation version

Calculation version 1.6.1 retained; UI input visibility, error context and result labels fixed.

Review revision

2026-10-07.vector-browser-mode-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Coordinate geometry

math.geometry.coordinate · coordinate-geometry

Coordinate Geometry error context and result labels

Keeps active coordinate mode and entered points on errors, with meaningful result headings.

• Errors preserve entered coordinates and the formula for distance, midpoint, slope, line, point-line, intersection or angle.
• Shared result labels replace repeated values without changing calculation results.
• Chrome checks cover the three hub modes and four independent entries, vertical/parallel/coincident cases, midpoint and angle recovery, eight-coordinate replay, actual CSV and Evidence navigation.
• Calculation algorithm/version unchanged; Preview only, no deployment or expert review.

Calculation version

Calculation version 1.5.0 retained; error presentation and result labels fixed.

Review revision

2026-10-07.coordinate-browser-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Conic section

math.geometry.conic · conic-section

Conic active inputs and orientation error formulas

Shows active conic inputs and preserves the selected curve and orientation formula on errors.

• Ellipse only enables a,b; parabola p,orientation; hyperbola a,b,orientation. Inactive fields are omitted from share URLs.
• Shared result headings identify Area, Focus or Eccentricity instead of repeating the result value.
• Real Chrome checks cover three modes/aliases, both directions, circle special case, invalid-input recovery, clipboard replay, actual CSV and Evidence navigation.
• Calculation algorithm and version retained; Preview only, no deployment or expert review.

Calculation version

Calculation version 1.0.0 retained; client input handling and result labels fixed.

Review revision

2026-10-07.conic-browser-mode-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Plane geometry

math.geometry.plane · plane-geometry

Plane Geometry active fields and error context

Displays active Plane inputs, preserves errors in their selected mode and labels successful results as Area.

• Chrome checks cover seven hub modes and seven independent entries, representative invalid inputs and error recovery.
• Inactive fields are omitted from share URLs; irregular polygon summaries and CSV retain the actual vertices.
• Clipboard replay, actual CSV download and versioned Evidence navigation verified locally.
• Calculation algorithm and version unchanged; Preview only, no deployment or expert review.

Calculation version

Calculation version 1.5.0 retained; active field handling and presentation fixed.

Review revision

2026-10-07.plane-browser-mode-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Solid geometry

math.geometry.solid · solid-geometry

Solid Geometry active fields and result context

Shows only active inputs across 20 hub modes and clears inactive share parameters.

• Shows only active inputs across 20 hub modes and clears inactive share parameters.
• Errors retain selected solid, active inputs and its main formula; result headings label Volume or Surface area.
• Chrome covers Torus recovery/replay/export, spherical bounds, three representative aliases and versioned Evidence navigation.
• Calculation algorithm and version unchanged; local UI review only, no deployment or expert review.

Calculation version

Calculation version 1.18.0 retained; presentation and active-mode input handling fixed.

Review revision

2026-10-07.geometry-browser-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Triangle solver

math.geometry.triangle · triangle-solver

Triangle error case and input context

Keeps selected case, active inputs and relevant sine/cosine law on invalid or no-solution errors.

• Keeps selected case, active inputs and relevant sine/cosine law on invalid or no-solution errors.
• Chrome covers five cases, SSA two-solution recovery, clipboard replay, actual two-solution CSV and versioned Evidence navigation.
• Calculation algorithm and version unchanged; local UI review only, no deployment or expert review.

Calculation version

Calculation version 1.0.0 retained; presentation and active-mode input handling fixed.

Review revision

2026-10-07.geometry-browser-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Circle

math.geometry.circle · circle

Circle active inputs and error context

Displays only active Circle inputs and preserves selected mode, actual inputs and formula on errors and exports.

• Real Chrome checks cover six Circle modes, Arc/Sector aliases, negative-radius recovery, clipboard replay and an actual CSV download.
• Inactive inputs are disabled and omitted from share URLs while their local form values remain available when switching back.
• Trust Summary View evidence opens Circle 1.1.0; existing production attestation is not promoted by this local UI review.
• Calculation engine and version unchanged; Preview only, no deployment or expert review.

Calculation version

Calculation version 1.1.0 retained; client presentation and active input selection fixed.

Review revision

2026-10-07.circle-browser-mode-context

Release ID

Not released

Verification

No matching attestation snapshot

Math

Linear equation

math.algebra.linear_equation · linear-equation

math.algebra.linear_equation shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.5.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Antilogarithm

math.antilog · anti-log

math.antilog shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.5 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Arccosine

math.arccos · arccos

math.arccos shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.4 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Arcsine

math.arcsin · arcsin

math.arcsin shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.5 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Arctangent

math.arctan · arctan

math.arctan shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.7 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Permutations and combinations

math.combinatorics · combinatorics

math.combinatorics shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Complex numbers

math.complex · complex

math.complex shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Cosine

math.cos · cos

math.cos shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.5 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Division

math.divide · division

math.divide shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.5 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Exponentiation

math.exponent · exponent

math.exponent shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.4 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Exponential growth / decay

math.exponential_growth · exponential-growth

math.exponential_growth shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.7 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary factorial

math.factorial · factorial

math.factorial shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.2 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Fractions

math.fractions · fractions

math.fractions shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.6 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Greatest common factor

math.gcf · gcf

math.gcf shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.2 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Circle

math.geometry.circle · circle

math.geometry.circle shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Conic section

math.geometry.conic · conic-section

math.geometry.conic shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Coordinate geometry

math.geometry.coordinate · coordinate-geometry

math.geometry.coordinate shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.5.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Plane geometry

math.geometry.plane · plane-geometry

math.geometry.plane shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.5.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Solid geometry

math.geometry.solid · solid-geometry

math.geometry.solid shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.18.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Triangle solver

math.geometry.triangle · triangle-solver

math.geometry.triangle shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Least common multiple

math.lcm · lcm

math.lcm shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.3 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Linear system / small matrix

math.linear_algebra · linear-system

math.linear_algebra shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.14.1 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Natural logarithm

math.ln · ln

math.ln shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.4 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Logarithm

math.log · log

math.log shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.5 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Euclidean remainder / modular inverse

math.modulo · modulo

math.modulo shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Multiplication

math.multiplication · multiplication

math.multiplication shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.3 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

math.numerical.definite_integral shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.1 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical derivative

math.numerical.derivative · numerical-derivative

math.numerical.derivative shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical interpolation

math.numerical.interpolate · numerical-interpolation

math.numerical.interpolate shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ordinary differential equation

math.numerical.ode · ordinary-differential-equation

math.numerical.ode shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

One-dimensional optimization

math.numerical.optimize_1d · one-dimensional-optimization

math.numerical.optimize_1d shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

math.numerical.root shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.3 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Percentage change

math.percent_change · percent-change

math.percent_change shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Percent error

math.percent_error · percent-error

math.percent_error shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.4 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Percentage

math.percentage · percentage

math.percentage shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.1 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Polynomial roots

math.polynomial.roots · polynomial-roots

math.polynomial.roots shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.2.1 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Prime factorization

math.prime_factorization · prime-factorization

math.prime_factorization shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Pythagorean theorem

math.pythagorean · pythagorean

math.pythagorean shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.2 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Quadratic formula

math.quadratic · quadratic

math.quadratic shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.1.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ratio

math.ratio · ratio

math.ratio shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.2 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Nth root

math.root · root

math.root shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.5 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Scientific notation

math.scientific_notation · scientific-notation

math.scientific_notation shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 2.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Integer sequences

math.sequences · sequence

math.sequences shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Sine

math.sin · sin

math.sin shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.5 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Special functions

math.special · special-functions

math.special shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.10.2 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Square root

math.square_root · square-root

math.square_root shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.3 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Subtraction

math.subtraction · subtraction

math.subtraction shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.1 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Sum / addition

math.sum · add

math.sum shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.2 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Tangent

math.tan · tan

math.tan shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.4 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Discrete Fourier transform

math.transform.dft · discrete-fourier-transform

math.transform.dft shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.2.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Laplace transform

math.transform.laplace · laplace-transform

math.transform.laplace shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Z transform

math.transform.z · z-transform

math.transform.z shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.0.0 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Vector

math.vector · vector

math.vector shared-link version notice

Enables explicit old-link attribution and current-engine recalculation notice through the common Math result presenter.

• SSR success/error and common browser result presentation use the same version notice; current/missing version links stay concise.
• Canonical SSR result remains unchanged with an old attribution parameter; resharing records the current calculation version.
• Rollout regression covers 53 Math canonicals and 158 mapped entries; Chrome checks are representative, not per-entry full browser review.
• Calculation version and existing review identity retained; historical-engine execution and full browser/domain review remain outside this fix.
• Preview only; no deployment or promotion of production verification status.

Calculation version

Calculation version 1.6.1 retained; UI attribution notice added.

Review revision

2026-10-07.math-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Integral shared-link version attribution notice

Makes old-link version attribution and current-engine recalculation explicit on Integral and its three method entries.

• SSR and browser use the same notice when the link version differs from the current calculation version.
• Success and error explanations retain the attribution notice; numerical results, error codes and version 1.1.1 remain unchanged.
• Real Chrome verifies the notice, current-version resharing, mismatch/error coexistence and an on-disk CSV that retains the explanation.
• Regression checks cover four entries, escaped version text, current attribution and concise matching-version links.
• Historical engine replay, other calculator-page adoption and full domain review remain pending; production remains STALE.

Calculation version

Calculation version 1.1.1 retained; presentation explicitly describes existing current-engine replay.

Review revision

2026-10-07.integral-share-version-notice

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Integral Chrome UI and Evidence review

Fixes indistinguishable short-interval plot labels, silent Gauss node replacement and a stray Evidence display character.

• Chrome native UI verifies signed-difference labels, current-version clipboard links and replay, versioned Evidence navigation, range errors and finite-result recovery.
• Invalid Gauss n is preserved and rejected instead of silently replaced with five nodes; the error card keeps the actual method and inputs.
• A real Chrome CSV download completes and its on-disk contents are verified.
• Calculation version remains 1.1.1; numerical algorithm and existing CVP scope remain unchanged.
• Old-version ordinary calculator links restore inputs into the current engine; historical replay semantics and full domain/browser coverage remain pending. Production remains STALE.

Calculation version

Integral calculation version 1.1.1 preserved; presentation and front-end error handling corrected.

Review revision

2026-10-07.integral-chrome-ui

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Definite Integral stability and signed-difference presentation

Fixes wide-interval NaN, short-interval baseline cancellation and tiny-result clearing across Simpson, trapezoid and Gauss methods.

• Uses safe interval interpolation, normalized quadrature weights, stable analytic baselines and scaled exponential evaluation.
• Preserves tiny finite values and returns NUMERICAL_OVERFLOW instead of nonfinite result packs.
• Corrects the UI label for the historical signed abs_err field; synchronizes four page pins and Numerical Workspace.
• 79 independent mpmath 90/140-dps cases, 83 CVP goldens, three orientation relations and seven interface cases pass.
• Complete domain review remains pending; local verification passes, production remains STALE until a matching Trust Release.

Calculation version

Definite Integral 1.1.0 → 1.1.1; final CVP revision updated.

Review revision

2026-10-07.integral-stability-iface2

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Root workspace version binding correction

Synchronizes Numerical Workspace Root snapshots with the existing math.numerical.root 1.1.3 engine and page version.

• Corrects stale workspace metadata 1.1.0 → 1.1.3 without changing the Root algorithm or calculation version.
• Workspace replay and page-version consistency tests pass; full Root domain review remains pending.

Calculation version

Existing Root calculation version 1.1.3 preserved.

Review revision

2026-10-07.workspace-version-sync

Release ID

Not released

Verification

No matching attestation snapshot

Math

Special functions

math.special · special-functions

Bessel large-argument and small-result correction

Uses stable integral quadrature for large J/Y and scaled positive K tails; corrects premature J/I series termination.

• Fixes catastrophic J/Y errors and negative K tails inside the accepted integer-order domain.
• Preserves representable J/Y/I/K values with 12-digit publication and records the actual numerical method.
• Adds 414 independent mpmath high-precision references, three reflection relations and large-argument SSR/REST/MCP samples; 2100 independent sweep checks pass.
• Large-argument J/Y/K O2 inputs without a fixed independent reference are explicitly unsupported rather than compared against a correlated unstable series.
• Complete domain review remains pending. Local verification passes; production remains STALE until a matching Trust Release.

Calculation version

Math Special calculation version 1.10.1 → 1.10.2; CVP revision updated.

Review revision

2026-10-07.bessel-integral-stability-domain2

Release ID

Not released

Verification

No matching attestation snapshot

Math

Special functions

math.special · special-functions

Error function and complementary tail correction

Replaces unstable large-argument erf series and preserves representable erfc tails with direct continued-fraction evaluation.

• Fixes erf(8) and erfc(8) catastrophic errors in 1.10.0; preserves small positive erfc tails instead of applying an absolute zero floor.
• Adds independent mpmath 90/140-digit fixtures, 52 CVP golden cases and a 910-comparison high precision sweep.
• Known large-argument Bessel J/Y/K defects remain unresolved and are disclosed in the capability scope; full domain review remains pending.
• Local verification passes; production remains STALE until a matching Trust Release.

Calculation version

Math Special calculation version 1.10.0 → 1.10.1; CVP revision updated.

Review revision

2026-10-07.erf-erfc-stability-iface2

Release ID

Not released

Verification

No matching attestation snapshot

Math

Linear system / small matrix

math.linear_algebra · linear-system

Matrix solution publication and residual correction

Preserves scaled and mixed-magnitude solution components and calculates residuals from the published vector.

• Fixes the 1.14.0 scaled identity solve that published [0,0] for the exact solution [1,2].
• Publishes each solution component to 12 significant digits and recomputes residual and backward error from that vector and original inputs.
• Adds independent Cramer O2 golden cases, common-scaling metamorphic coverage and published-diagnostic consistency checks; complete domain review remains pending.
• Local verification passes; production remains STALE until a matching Trust Release.

Calculation version

Math linear algebra calculation version 1.14.0 → 1.14.1; CVP revision updated.

Review revision

2026-10-07.solve-publication-diagnostics

Release ID

Not released

Verification

No matching attestation snapshot

Math

Definite integral

math.numerical.definite_integral · definite-integral

Definite Integral numerical evidence audit

Reproduced nonfinite output for a zero integrand over a wide finite interval and cancellation in the short-interval exact baseline.

• Reproduced nonfinite output for a zero integrand over a wide finite interval and cancellation in the short-interval exact baseline.
• Limited numerical and evidence audit only; findings remain unresolved and full domain review is pending. No engine, calculation version, CVP revision or Trust tier changed.

Calculation version

Review findings only; calculation versions unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Linear system / small matrix

math.linear_algebra · linear-system

Matrix published solution audit

Reproduced a scaled identity solve returning a zero vector with zero reported residual; analytic reference confirms inconsistent published diagnostics.

• Reproduced a scaled identity solve returning a zero vector with zero reported residual; analytic reference confirms inconsistent published diagnostics.
• Limited numerical and evidence audit only; findings remain unresolved and full domain review is pending. No engine, calculation version, CVP revision or Trust tier changed.

Calculation version

Review findings only; calculation versions unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Root evidence coverage audit

Reviewed existing CVP coverage and local probes; higher-degree and convergence-domain review remains pending, with no new reproducible defect found in this limited sample.

• Reviewed existing CVP coverage and local probes; higher-degree and convergence-domain review remains pending, with no new reproducible defect found in this limited sample.
• Limited numerical and evidence audit only; findings remain unresolved and full domain review is pending. No engine, calculation version, CVP revision or Trust tier changed.

Calculation version

Review findings only; calculation versions unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Special functions

math.special · special-functions

Special Functions numerical evidence audit

Reproduced erf/erfc and Bessel defects using high precision references; found correlated O2 errors and insufficient tail coverage.

• Reproduced erf/erfc and Bessel defects using high precision references; found correlated O2 errors and insufficient tail coverage.
• Limited numerical and evidence audit only; findings remain unresolved and full domain review is pending. No engine, calculation version, CVP revision or Trust tier changed.

Calculation version

Review findings only; calculation versions unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Linear system / small matrix

math.linear_algebra · linear-system

Matrix versioned replay verification

Verified input-only share fragments, refresh/local restoration, version mismatch handling and rejection of stored results.

• Verified input-only share fragments, refresh/local restoration, version mismatch handling and rejection of stored results.
• This is a limited follow-up check; full domain review remains pending. No product code, calculation version, verification revision, or Trust tier changed.

Calculation version

Verification activity only; calculation versions unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Triangle solver

math.geometry.triangle · triangle-solver

Triangle share and export verification

Verified SAS URL replay and SSA CSV serialization using browser-observed fields; browser download and clipboard checks remain unconfirmed.

• Verified SAS URL replay and SSA CSV serialization using browser-observed fields; browser download and clipboard checks remain unconfirmed.
• This is a limited follow-up check; full domain review remains pending. No product code, calculation version, verification revision, or Trust tier changed.

Calculation version

Verification activity only; calculation versions unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Fractions

math.fractions · fractions

Fractions accessible input labels

Names each whole part, numerator and denominator by its fraction and selected mode.

• Names each whole part, numerator and denominator by its fraction and selected mode.
• Validated in the local browser with relevant existing calculation and CVP suites; full domain review remains pending.

Calculation version

Presentation and Evidence navigation only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Linear system / small matrix

math.linear_algebra · linear-system

Matrix Workspace versioned Evidence entry

Adds Evidence and contract links beside Trust status and pins manifest reads to the workspace calculation version.

• Adds Evidence and contract links beside Trust status and pins manifest reads to the workspace calculation version.
• Validated in the local browser with relevant existing calculation and CVP suites; full domain review remains pending.

Calculation version

Presentation and Evidence navigation only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Special functions

math.special · special-functions

Special Functions error context

Preserves the selected mode and matching formula on invalid input and singularity errors.

• Preserves the selected mode and matching formula on invalid input and singularity errors.
• Validated in the local browser with relevant existing calculation and CVP suites; full domain review remains pending.

Calculation version

Presentation and Evidence navigation only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Triangle solver

math.geometry.triangle · triangle-solver

Triangle mode inputs and complete SSA solutions

Shows only known inputs for each case and lists both SSA solutions with solid/dashed plot correspondence; result inputs describe the given values.

• Shows only known inputs for each case and lists both SSA solutions with solid/dashed plot correspondence; result inputs describe the given values.
• Validated in the local browser with relevant existing calculation and CVP suites; full domain review remains pending.

Calculation version

Presentation and Evidence navigation only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Fractions

math.fractions · fractions

Fractions review baseline

Records a limited local browser and artifact review; full calculator review remains pending.

• Confirmed missing accessible names on numerator and denominator fields; zero denominator is rejected.
• Existing relevant automated tests passed. No calculation change, expert-review promotion, or production attestation was performed.

Calculation version

Review activity only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Triangle solver

math.geometry.triangle · triangle-solver

Triangle Solver review baseline

Records a limited local browser and artifact review; full calculator review remains pending.

• Confirmed SSA secondary-solution presentation and unused-input issues; degenerate SSS is rejected.
• Existing relevant automated tests passed. No calculation change, expert-review promotion, or production attestation was performed.

Calculation version

Review activity only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Linear system / small matrix

math.linear_algebra · linear-system

Matrix Workspace review baseline

Records a limited local browser and artifact review; full calculator review remains pending.

• Checked unique and inconsistent systems; identified a missing direct Evidence link beside Trust status.
• Existing relevant automated tests passed. No calculation change, expert-review promotion, or production attestation was performed.

Calculation version

Review activity only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Root review baseline

Records a limited local browser and artifact review; full calculator review remains pending.

• Checked convergence details and exponential no-root handling; recorded VERIFIED with production STALE.
• Existing relevant automated tests passed. No calculation change, expert-review promotion, or production attestation was performed.

Calculation version

Review activity only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Ratio

math.ratio · ratio

Ratio review baseline

Records a limited local browser and artifact review; full calculator review remains pending.

• Checked the default simplified ratio and part-to-part versus part-of-whole explanation.
• Existing relevant automated tests passed. No calculation change, expert-review promotion, or production attestation was performed.

Calculation version

Review activity only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Special functions

math.special · special-functions

Special Functions review baseline

Records a limited local browser and artifact review; full calculator review remains pending.

• Confirmed Gamma pole rejection with an incorrect erf formula in the error result card.
• Existing relevant automated tests passed. No calculation change, expert-review promotion, or production attestation was performed.

Calculation version

Review activity only; calculation version and verification revision are unchanged.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Root citation and interpretation guidance

Places method references and result interpretation beside the calculator's versioned Evidence guidance.

• Explains the polynomial stopping metric, bracket-width stopping, and why a small residual alone does not establish root accuracy, with a direct NIST conditioning reference.
• Distinguishes method references from the implementation's versioned Evidence and explains the roles of replayable input URLs, the canonical calculator URL, and production verification status.

Calculation version

Calculation version 1.1.3 is unchanged; this update adds explanation and citation guidance only.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Root polynomial value underflow correction

Prevents a finite polynomial value that underflows to zero from being reported as an exact root or a converged initial guess.

• Polynomial iterations, bracket signs, and scaled residuals use coefficient-normalized evaluation while the published signed residual remains the raw binary64 value.
• For p(x)=1e-320x, Newton from 1e-4 now reaches the actual root 0; bisection on [1e-4,1] rejects the interval instead of calling the left endpoint an exact root.
• A zero polynomial is rejected because it has no isolated root; genuine roots at x=0 remain valid.

Calculation version

Calculation version 1.1.3 corrects polynomial evaluation and convergence at extreme scales.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Chemistry

Weak-acid ICE

chemistry.equilibrium.weak_acid · weak-acid-equilibrium

Weak-acid shared solver underflow correction

Moves weak-acid ICE to the corrected coefficient-normalized root solver.

• The shared bisection and Newton paths no longer treat a raw polynomial evaluation underflow as an exact zero.

Calculation version

Calculation version 1.0.4 records the shared solver behavior change.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Chemistry

Weak-base ICE

chemistry.equilibrium.weak_base · weak-base-equilibrium

Weak-base shared solver underflow correction

Moves weak-base ICE to the corrected coefficient-normalized root solver.

• The shared bisection and Newton paths no longer treat a raw polynomial evaluation underflow as an exact zero.

Calculation version

Calculation version 1.0.4 records the shared solver behavior change.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Platform

Sitemap modification dates corrected

Stops assigning every sitemap URL the build time as its last content modification date.

• Canonical URLs remain in the sitemap; lastmod is omitted until a reliable per-page content timestamp is available.
• This avoids a new modification claim for unchanged pages on every deployment.

Calculation version

Sitemap metadata changes without changing calculator calculation versions.

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Root result presentation

Shows a concise approximate root while keeping the full binary64 root in details, and explains the scaled residual and iteration count beside the result.

• The shared Numerical Root and Nonlinear Equation result card displays up to 12 significant digits for noninteger roots; the complete machine value remains available in details and REST.
• The scaled-residual row gives its polynomial normalization, and the iteration row distinguishes solver updates from bisection midpoint evaluations.

Calculation version

Calculation version 1.1.2 is unchanged; this update affects presentation and explanatory copy only.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Root bisection bracket correction

Rejects same-sign bisection endpoints even when multiplying their tiny function values would underflow to zero.

• Endpoint and midpoint sign checks compare signs directly, preserving the bracket invariant without multiplying function values.
• The previously accepted no-root example 1e-200(1+x²) on [-1,1] now returns INVALID_INPUT.
• New engine, share URL, REST, and CVP boundary checks cover the correction.

Calculation version

Calculation version 1.1.2 corrects bisection bracket validation for tiny finite values.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Chemistry

Weak-acid ICE

chemistry.equilibrium.weak_acid · weak-acid-equilibrium

Weak-acid equilibrium shared solver correction

Updates weak-acid ICE to the corrected bisection bracket validation in its shared numerical root solver.

• The solver now compares endpoint signs without a product that can underflow; the previous 1.0.2 evidence remains available.

Calculation version

Calculation version 1.0.3 records the shared root-solver behavior change.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Chemistry

Weak-base ICE

chemistry.equilibrium.weak_base · weak-base-equilibrium

Weak-base equilibrium shared solver correction

Updates weak-base ICE to the corrected bisection bracket validation in its shared numerical root solver.

• The solver now compares endpoint signs without a product that can underflow; the previous 1.0.2 evidence remains available.

Calculation version

Calculation version 1.0.3 records the shared root-solver behavior change.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot

Math

Numerical root

math.numerical.root · numerical-root

Numerical Root convergence and domain correction

Rejects exp(x)=0 as having no finite real root, applies coefficient-scaled polynomial residual checks, and returns a root and residual from the same binary64 iterate.

• Polynomial convergence uses a coefficient-scaled residual to avoid false roots for small coefficients.
• Newton and secant accept nonzero derivatives and denominators at small scales; iteration counts record updates.
• The result reports the stop reason and preserves full binary64 root and residual values.

Calculation version

Calculation version 1.1.1 corrects domain and convergence behavior.

Review revision

Pending

Release ID

Not released

Verification

No matching attestation snapshot