{ "protocol": { "name": "CVP", "version": "1.0.0-proposed", "revision": "2026-09-13", "spec_sha256": "f62725968356c92930531cd6085db76e216da06e95be53d636b0d2cf3218b148", "spec": "https://www.calculatorx.com/developers/cvp/spec/1.0" }, "document_status": "proposed", "calculator": { "id": "root", "version": "1.0.6", "title": "Nth Root Calculator", "formula_family": "nth_root", "capability_id": "math.root", "verification_revision": "2026-10-26.root-complete-contract-v2" }, "profile": "core", "status": "VERIFIED", "verification_status": "VERIFIED", "production_freshness": "CURRENT", "overall_trust": "VERIFIED", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "22.20.0", "numeric_model": "IEEE-754 binary64", "os": "darwin" }, "suite": { "id": "root", "version": "1.0.6", "uri": "https://www.calculatorx.com/evidence/math.root/1.0.6.json", "verification_revision": "2026-10-26.root-complete-contract-v2" }, "obligation_set": [ "CVP-PROV-01", "CVP-MODEL-01", "CVP-SCOPE-01", "CVP-UNIT-01", "CVP-REF-01", "CVP-GOLD-01", "CVP-BND-01", "CVP-INV-01", "CVP-NUM-01", "CVP-COV-01", "CVP-CONTRACT-01", "CVP-DEP-01", "CVP-ART-01", "CVP-PROD-01", "CVP-PROP-01", "CVP-META-01", "CVP-ROUND-01", "CVP-XCAL-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "NIST Digital Library of Mathematical Functions, Chapter 4", "kind": "other", "reference": "Logarithm, Exponential, Powers", "url": "https://dlmf.nist.gov/4" }, { "label": "NIST DLMF §4.2(iv)", "kind": "other", "reference": "Powers: principal value z^a = exp(a ln z)", "url": "https://dlmf.nist.gov/4.2" }, { "label": "CalculatorX mathematical conventions", "kind": "other", "reference": "Real nth root; even roots of negatives are NOT_REAL; n is a positive safe integer" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "b = a^(1/n) principal real" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Positive safe-integer n; even roots of a<0 are NOT_REAL; odd-negative uses the real branch. Declared partitions cover identity n=1, Math.sqrt, Math.cbrt, Math.pow, odd-negative, invalid-domain, and XCAL vs Square Root / Exponent — not a whole-domain claim." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "dimensionless (unitless core)" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + dedicated O3 mpmath root table + O2 live identities" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "10/10 legacy golden; 108/108 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "14/14 CVP boundary · 14/14 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "14 Evidence illegal-input + 3/3 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "Path-specific ULP vs O3 tabulated vectors (identity 0, sqrt/cbrt/moderate pow ≤2, extreme pow ≤64); legacy Evidence `tol` is not this policy" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "7/7 declared partitions (sqrt-path, cbrt-path, pow-path, identity-n1, odd-negative, invalid-domain, xcal) · 10 legacy golden / 14 CVP boundary unique cases · 14 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "6/6 CVP contract · release-artifacts-aligned=PASS · schema-output-required-declared=PASS · schema-valid-input-executes=PASS · engine-success-output-validates-schema=PASS · schema-rejects-incomplete-input=PASS · rest-success-payload-validates-schema=PASS" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine root; Node binary64" }, "CVP-ART-01": { "result": "PASS", "applicability": "required", "notes": "release_integrity.status=verified · digests: artifact_evidence_sha256=Evidence core (Trust freshness) · cvp_evidence_digest=artifacts.evidence_digest (fingerprint v2) · evidence_bundle_sha256=legacy Evidence JSON bytes · evidence_catalog_digest=attested_catalog_sha256 · production_sha256=bound production report · see artifacts.digest_registry" }, "CVP-PROD-01": { "result": "PASS", "applicability": "required", "notes": "this calculator CURRENT · bound snapshot pass @ 2026-10-28T05:11:56.928Z · live site-wide report stale @ 2026-10-28T05:12:34.740Z (10 other capabilities) · local checks pass · attestation_id=f3abb5d04ebc51171f259234b69628b210f1534445c968974f68a48041bc5e07 · This calculator CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-10-28T05:11:56.928Z · Live production status STALE (10 capabilities; 366 remain CURRENT) @ 2026-10-28T05:12:34.740Z · Public schema 1.0.6 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.6 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-latest-alias-agrees=pass · cvp-immutable-manifest-fetch=pass · cvp-immutable-manifest-sha256=pass · cvp-latest-alias-matches-immutable=pass · cvp-reproduce-manifest-agree=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae · verified_at=2026-10-26T07:58:37.318Z · evidence_attested_at=2026-10-26T07:58:37.318Z · last_confirmed_current_at=2026-10-28T05:11:56.928Z · rendered_at=2026-10-28T05:12:36.120Z · binds=cvp_core_sha256", "check_result": "PASS", "production_state": "CURRENT", "binding_current": true }, "CVP-DIM-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "Unitless core calculator — no physical dimension algebra" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "4/4 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "2/2 metamorphic" }, "CVP-ROUND-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 round-trips" }, "CVP-XCAL-01": { "result": "PASS", "applicability": "applicable", "notes": "5/5 cross-calculator · xcal-sqrt-9 PASS vs math.square_root; xcal-sqrt-2 PASS vs math.square_root; xcal-sqrt-0 PASS vs math.square_root; xcal-exp-8-3 PASS vs math.exponent; xcal-sqrt-neg-distinct PASS vs math.square_root; xcal-sqrt-neg-na N/A (Root n=2 and a<0 is NOT_REAL (even root of a negative). Square Root returns the principal imaginary 0+√|x| i. These are different published contracts, not a numeric identity. Do not require equal results.)" }, "CVP-IFACE-01": { "result": "PASS", "applicability": "applicable", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). Success 1/1. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 19/19 tabulated vectors vs IUT · Path-specific ULP vs O3 applies only to the 19 published tabulated vectors: identity n=1 (0 ULP); Math.sqrt including tiny/huge (≤2); Math.cbrt including odd-negative and tiny/huge (≤2); moderate Math.pow including odd-negative, ⁸√15, and max safe n (≤2); extreme Math.pow at |a|=1e±300 (≤64). It is not a whole-domain guarantee. Even roots of a<0 and illegal n are contract errors (NOT_REAL / INVALID_INDEX), not ULP claims.; plus103 independently generated Decimal250 reference vectors with path-specific0/2/64ULP, scalar type strict and identity exact; not whole-domain." }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "named expert review not performed" } }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp", "ui-url-result-graph" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). Success 1/1. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session." }, "artifacts": { "evidence_bundle_sha256": "868638c9c7e8d79664a51845f2e8584dc850b7a31410039c302f9374def2bfd6", "evidence_digest": "e1f0a9ed78e2f4ebd25ecb277242cb83d1ca2cbe21ca261077b8aede5c1b0adb", "production_sha256": "0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae", "attested_catalog_sha256": "163b0d7072a58bed20a0320572211167e1629730bef43c185b5f545ceac7744c", "production_checks": [ { "id": "math.root:output-const", "status": "pass", "detail": "output const 1.0.6 vs capability 1.0.6", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" }, { "id": "math.root:evidence-sha256", "status": "pass", "detail": "5340f1c3ae48", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" }, { "id": "math.root:semantic-contract", "status": "pass", "detail": "24/24", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" }, { "id": "math.root:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.6 vs origin 1.0.6", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" }, { "id": "math.root:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.root/1.0.6/2026-10-26.root-complete-contract-v2/core/e1f0a9ed78e2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z", "projection_compared": false }, { "id": "math.root:cvp-latest-alias-agrees", "status": "pass", "detail": "math.root/1.0.6/2026-10-26.root-complete-contract-v2/core/e1f0a9ed78e2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z", "projection_compared": false }, { "id": "math.root:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" }, { "id": "math.root:cvp-immutable-manifest-sha256", "status": "pass", "detail": "e1f0a9ed78e2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" }, { "id": "math.root:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.root/1.0.6/2026-10-26.root-complete-contract-v2/core/e1f0a9ed78e2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z", "projection_compared": false }, { "id": "math.root:cvp-reproduce-manifest-agree", "status": "pass", "detail": "2026-10-26.root-complete-contract-v2 · d0c85277acd0", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" }, { "id": "math.root:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" }, { "id": "math.root:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T07:58:37.318Z" } ], "digest_registry": { "digest_algorithm": "sha256", "canonicalization": "json-sorted-keys-utf8", "entries": [ { "name": "cvp_core_sha256", "field": "artifacts.cvp_core_sha256", "digest_scope": "cvp_verification_fingerprint_v2", "value": "e1f0a9ed78e2f4ebd25ecb277242cb83d1ca2cbe21ca261077b8aede5c1b0adb", "note": "Immutable verification core; excludes attestation/live-status and Evidence contract counts" }, { "name": "cvp_evidence_digest", "field": "artifacts.evidence_digest", "digest_scope": "cvp_verification_fingerprint_v2", "value": "e1f0a9ed78e2f4ebd25ecb277242cb83d1ca2cbe21ca261077b8aede5c1b0adb", "note": "Alias of cvp_core_sha256 (historical field name)" }, { "name": "artifact_evidence_sha256", "field": "release_integrity.digests.evidence_core_sha256", "digest_scope": "evidence_artifact_core", "value": "5340f1c3ae482b0fbb5c2e2fb24501f0e36094dc8c57ee472d315bff01e839bc", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "163b0d7072a58bed20a0320572211167e1629730bef43c185b5f545ceac7744c", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "e1f0a9ed78e2f4ebd25ecb277242cb83d1ca2cbe21ca261077b8aede5c1b0adb" }, "dependencies": [ { "name": "root-engine", "version": "1.0.6" }, { "name": "root-reference-oracle", "version": "1.0.0" }, { "name": "root-mpmath-o3-table", "version": "root-mpmath-o3" }, { "name": "math.square_root", "version": "1.0.4", "role": "cross_calculator_peer", "capability_id": "math.square_root", "evidence_digest": "767ce88755a9ac176a1237fffdbee8b88b25f21056267882eba0cb0c6220c65d", "evidence": "https://www.calculatorx.com/evidence/math.square_root/1.0.4.cvp.json" }, { "name": "math.exponent", "version": "1.0.5", "role": "cross_calculator_peer", "capability_id": "math.exponent", "evidence_digest": "fe69527e9020177c3b69cbbc89583c154ca31acc061e4e9f44e9ee2be58239c3", "evidence": "https://www.calculatorx.com/evidence/math.exponent/1.0.5.cvp.json" }, { "name": "node", "version": "22.20.0" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "f3abb5d04ebc51171f259234b69628b210f1534445c968974f68a48041bc5e07", "attested_at": "2026-10-26T07:58:37.318Z", "last_confirmed_current_at": "2026-10-28T05:11:56.928Z", "site_attestation_current": false, "capability_attestation_current": true, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-10-28T05:11:56.928Z", "live_updated_at": "2026-10-28T05:12:34.740Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-10-28T05:11:56.928Z", "site_stale_count": 10 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 10, "site_stale_capability_count": 10, "evidence_attested_at": "2026-10-26T07:58:37.318Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.6", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-10-26T07:58:37.318Z", "generated_at": "2026-10-26T07:58:37.318Z", "rendered_at": "2026-10-28T05:12:36.120Z", "notes": "verified_at/generated_at mark the first publication of this cvp_core_sha256 (artifacts.evidence_digest alias) for suite verification. evidence_attested_at/attested_at is the first production bind of that core digest. last_confirmed_current_at is the latest site-wide report that still confirms CURRENT. rendered_at is this JSON serialization and is not part of cvp_core_sha256 / evidence_digest. Production attestation binds cvp_core_sha256 (binds evidence_digest). Causal order: verified_at ≤ evidence_attested_at ≤ last_confirmed_current_at. attestation.bound_snapshot.site_stale_count is the site-wide stale capability count at Manifest bind time — not a live value. Fetch attestation.live_site_status.href for the current site report." }, "tests": { "golden": { "passed": 108, "total": 108, "failed": 0 }, "boundary": { "passed": 14, "total": 14, "failed": 0 }, "invalid": { "passed": 17, "total": 17, "failed": 0, "comparison": "exact_error_match" }, "property": { "passed": 4, "total": 4, "failed": 0 }, "round_trip": { "passed": 3, "total": 3, "failed": 0 }, "metamorphic": { "passed": 2, "total": 2, "failed": 0 }, "contract": { "passed": 6, "total": 6, "failed": 0 }, "cross_interface": { "passed": 1, "total": 1, "failed": 0 }, "cross_calculator": { "passed": 5, "total": 5, "failed": 0 }, "ui_integration": { "passed": 4, "total": 4, "failed": 0 }, "o3": { "passed": 19, "total": 19, "failed": 0, "claim_scope": "Path-specific ULP vs O3 applies only to the 19 published tabulated vectors: identity n=1 (0 ULP); Math.sqrt including tiny/huge (≤2); Math.cbrt including odd-negative and tiny/huge (≤2); moderate Math.pow including odd-negative, ⁸√15, and max safe n (≤2); extreme Math.pow at |a|=1e±300 (≤64). It is not a whole-domain guarantee. Even roots of a<0 and illegal n are contract errors (NOT_REAL / INVALID_INDEX), not ULP claims.; plus103 independently generated Decimal250 reference vectors with path-specific0/2/64ULP, scalar type strict and identity exact; not whole-domain.", "max_error_ulp": 55, "table_sha256": "d0c85277acd014046ec073aca6650c34eedfa2ec3a205af9af4a7ecb6506f324" } }, "numerical": { "representation": "IEEE-754 binary64 principal nth root", "tolerance": { "type": "ulp", "value": 2, "rationale": "Path-specific a-priori ULP vs O3 tabulated vectors: identity 0; Math.sqrt / Math.cbrt / moderate Math.pow ≤2; extreme Math.pow (|log10(|a|)|≥100) ≤64. Not a whole-domain guarantee.", "declared_before_evaluation": true, "by_iut_path": { "identity": { "id": "identity", "value": 0, "rationale": "n=1 is the identity map b=a; exact binary64, 0 ULP." }, "sqrt": { "id": "sqrt", "value": 2, "rationale": "IUT uses Math.sqrt (IEEE-754 recommended correctly rounded in V8). CVP claim is ≤2 ULP vs O3 tabulated vectors, not a whole-domain proof." }, "cbrt": { "id": "cbrt", "value": 2, "rationale": "IUT uses Math.cbrt, which is implementation-approximated and not correctly rounded. CVP claim is ≤2 ULP vs O3 tabulated vectors (including odd-negative)." }, "pow": { "id": "pow", "value": 2, "rationale": "IUT uses Math.pow(a,1/n) or the signed odd branch −(−a)**(1/n). Neither is correctly rounded. CVP claim is ≤2 ULP vs moderate tabulated vectors." }, "pow_extreme": { "id": "pow_extreme", "value": 64, "rationale": "IUT Math.pow at extreme binary64 magnitudes (|log10(|a|)|≥100, e.g. 1e±300) is not correctly rounded; libm pow is commonly tens of ULPs. Tabulated claim is ≤64 ULP for those published extreme vectors only." } } }, "max_error_observed": 62, "claim_scope": "Path-specific ULP vs O3 applies only to the 19 published tabulated vectors: identity n=1 (0 ULP); Math.sqrt including tiny/huge (≤2); Math.cbrt including odd-negative and tiny/huge (≤2); moderate Math.pow including odd-negative, ⁸√15, and max safe n (≤2); extreme Math.pow at |a|=1e±300 (≤64). It is not a whole-domain guarantee. Even roots of a<0 and illegal n are contract errors (NOT_REAL / INVALID_INDEX), not ULP claims.; plus103 independently generated Decimal250 reference vectors with path-specific0/2/64ULP, scalar type strict and identity exact; not whole-domain." }, "coverage": { "partitions": [ { "id": "sqrt-path", "description": "n=2, a≥0 — IUT Math.sqrt", "exercised": true, "case_count": 30 }, { "id": "cbrt-path", "description": "n=3 — IUT Math.cbrt", "exercised": true, "case_count": 26 }, { "id": "pow-path", "description": "n≥4 — IUT Math.pow", "exercised": true, "case_count": 76 }, { "id": "identity-n1", "description": "n=1 identity map", "exercised": true, "case_count": 15 }, { "id": "odd-negative", "description": "Odd n, a<0 real branch", "exercised": true, "case_count": 23 }, { "id": "invalid-domain", "description": "INVALID_INDEX / NOT_REAL", "exercised": true, "case_count": 17 }, { "id": "xcal", "description": "Cross-calculator vs Square Root (n=2 agree; even-negative is a documented contract split) and Exponent round-trip", "exercised": true, "case_count": 5 } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Principal real nth root" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath/MPFR signed real nth root (80 dps) rounded to nearest binary64 — not Node Math.sqrt/cbrt/pow", "engine": { "name": "root-mpmath-o3", "library": "mpmath 1.4.1", "mpmath_dps": 80, "precision_bits": 265, "independent_of_iut": true, "generator_version": "1.0.0", "generator_sha256": "3a38d49784974fade813298be4a21a1c1c5c91d288c1773b2802c300a069e93c", "table_sha256": "d0c85277acd014046ec073aca6650c34eedfa2ec3a205af9af4a7ecb6506f324" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O3 table vs IUT; path-specific ULP (identity 0, sqrt/cbrt/moderate pow ≤2, extreme pow ≤64) on tabulated vectors only", "engine": { "name": "root-mpmath-o3", "library": "mpmath 1.4.1", "mpmath_dps": 80, "precision_bits": 265, "independent_of_iut": true, "generator_version": "1.0.0", "generator_sha256": "3a38d49784974fade813298be4a21a1c1c5c91d288c1773b2802c300a069e93c", "table_sha256": "d0c85277acd014046ec073aca6650c34eedfa2ec3a205af9af4a7ecb6506f324" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Cross-runtime Decimal250 real nth-root reference", "engine": { "name": "CPython Decimal250 exp-ln nth root", "independent_of_iut": true, "same_runtime_as_iut": false, "generator_sha256": "423c0fd5c302a51896dfddf3fdfd618238cacdc0b94038fa1badd35ac3894f37" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Cross-runtime Decimal250 real nth-root reference", "engine": { "name": "CPython Decimal250 exp-ln nth root", "independent_of_iut": true, "same_runtime_as_iut": false, "generator_sha256": "423c0fd5c302a51896dfddf3fdfd618238cacdc0b94038fa1badd35ac3894f37" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module nth-root oracle — independent principal real root", "engine": { "name": "root-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs path-specific ULP scalar comparison vs IUT", "engine": { "name": "root-reference", "precision_bits": 53, "independent_of_iut": true } } ] }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.root/1.0.6.json", "evidence_page": "https://www.calculatorx.com/evidence/math.root/1.0.6", "calculator": "https://www.calculatorx.com/calc/math/root", "schema": "https://www.calculatorx.com/developers/cvp/schema/cvp-evidence-1.0.json", "protocol": "https://www.calculatorx.com/developers/cvp/spec/1.0", "manifest": "https://www.calculatorx.com/evidence/math.root/1.0.6.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.root/1.0.6/2026-10-26.root-complete-contract-v2.cvp.json", "reproduce": "https://www.calculatorx.com/evidence/math.root/reproduce", "manifest_core": "https://www.calculatorx.com/evidence/math.root/1.0.6/2026-10-26.root-complete-contract-v2.e1f0a9ed78e2.cvp.json" }, "disclosure": { "policy": "calculatorx-public-evidence-v1", "full_validation": "private", "representation": "summary" } }