{ "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": "linear-system", "version": "1.12.0", "title": "Linear System / Small Matrix Calculator", "formula_family": "linear_algebra", "capability_id": "math.linear_algebra", "verification_revision": "2026-09-22.vector-la-cvp" }, "profile": "core", "verified_scope": "all published modes", "status": "STALE", "verification_status": "VERIFIED", "production_freshness": "STALE", "overall_trust": "VERIFIED_STALE", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "20.19.2", "numeric_model": "IEEE-754 binary64", "os": "darwin" }, "suite": { "id": "linear-system", "version": "1.12.0", "uri": "https://www.calculatorx.com/evidence/math.linear_algebra/1.12.0.json", "verification_revision": "2026-09-22.vector-la-cvp" }, "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-DIM-01", "CVP-PROP-01", "CVP-XCAL-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "ISO 80000-2:2019 Quantities and units — Mathematics", "kind": "standard", "reference": "Matrix, determinant, inverse, and rank notation for order 2–4" }, { "label": "CRC / Strang — Ax=b, LU/QR/SVD, four fundamental subspaces", "kind": "other", "reference": "Gaussian / Cramer solve; det; Gauss–Jordan inverse; rank-nullity; Householder QR; singular values; RREF; κ₁(A)" } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Ax=b, det, inverse, rank, LU/Cholesky/QR/SVD, eigen, RREF, condition, four fundamental subspaces" }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module linear-algebra oracle — Leibniz det, Cramer solve, cofactor inverse, minor rank, Gram–Schmidt QR, column-wise Cholesky, closed-form eigen (same runtime as IUT; not IUT transcription)", "engine": { "name": "linear-algebra-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs unrounded identities vs IUT roundSmart — relative 1e-10 / 16 pub ULP", "engine": { "name": "linear-algebra-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true } } ], "notes": "Golden expected values use a separate O2 module (not IUT transcription). Factorizations compare reconstruction residuals and invariants; Cholesky also compares unique positive-diag L." }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "O2 Leibniz det, Cramer, cofactor inverse, minor-rank, Gram–Schmidt QR, column-wise Cholesky, closed-form 2×2/3×3 eigen vs IUT Gaussian/Householder/Faddeev" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Order 2–4 square for factorizations / solve. Cholesky is SPD only (A = LLᵀ). lstsq accepts rectangular A with rows,cols ∈ [2,4]. Discovery pages lock one mode. Not a CAS, not Statistics regression, not large-matrix server compute." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "dimensionless" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O2 expected_values + O2 numerical_behavior" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "27/27 legacy golden; 20/20 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "5/5 numeric-edge Evidence + 3/3 near-singularity numeric; illegal enum/system is Invalid only" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "6 Evidence illegal-input + 8/8 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "max_error_observed_ulp=0; policy declared a priori" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "19/19 declared partitions (solve, det, inverse, multiply, transpose, rank, eigen, lu, chol, qr, svd, lstsq, rref, condition, nullspace, columnspace, rowspace, leftnullspace, invalid-domain) · 27 legacy golden / 8 CVP boundary unique cases · 6 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "5/5 CVP contract · release-artifacts-aligned=PASS · schema-output-required-declared=PASS · schema-valid-input-executes=PASS · engine-success-output-validates-schema=PASS · rest-success-payload-validates-schema=PASS" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine linear-algebra; 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": "Capability production binding: STALE · Site report: stale · STALE (freshness / digest drift after last PASS snapshot) · site report stale · local checks pass · local production checks PASS; capability production binding is not CURRENT — final status must stay STALE, not VERIFIED · attestation_id=2215e43bd5546922b9b7142484b40765c775fc3ae5e41ddad6f42d09a93ba13b · Capability production binding: STALE · Site report: STALE · Last attested schema matched 1.12.0 snapshot / local build · Semantic contract ✓ · Last attestation PASS · Evidence changed after the last successful production attestation. Re-attestation required. · Public/cache ✓ · Origin ✓ · schema_const=1.12.0 · 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 · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=ab66486c562fc7c8f16c9af1e1fa18208ecc7410ff0a33a12be34f8ad968b22b · verified_at=2026-09-22T07:26:35.389Z · evidence_attested_at=2026-09-22T07:26:35.389Z · last_confirmed_current_at=2026-09-22T07:26:35.389Z · rendered_at=2026-09-22T07:26:35.389Z · binds=cvp_core_sha256 · Capability production binding: STALE · Site report: STALE · Evidence changed after the last successful production attestation. Re-attestation required.", "check_result": "PASS", "production_state": "STALE", "binding_current": false }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "small real matrices" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "5/5 property · enumerated fixed assertions (not generated; no seed)" }, "CVP-META-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No input→output transformation vectors in pack — control not in obligation set" }, "CVP-ROUND-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No inverse / round-trip vectors in pack — control not in obligation set" }, "CVP-XCAL-01": { "result": "PASS", "applicability": "applicable", "notes": "2/2 cross-calculator · xcal-det-triple PASS vs math.vector; xcal-eigen-poly PASS vs math.polynomial.roots" }, "CVP-IFACE-01": { "result": "PASS", "applicability": "applicable", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only." }, "CVP-ORACLE-01": { "result": "SKIP", "applicability": "higher_assurance", "notes": "O2 present; O3 not required this wave" }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "named expert review not performed" } }, "tests": { "golden": { "passed": 20, "total": 20, "failed": 0, "case_ids": [ "g-solve", "g-det", "g-inv", "g-mul", "g-t", "g-rank", "g-eigen", "g-lu", "g-chol", "g-qr", "g-svd", "g-lstsq", "g-lstsq-rect-over", "g-lstsq-rect-under", "g-rref", "g-cond", "g-ker", "g-col", "g-row", "g-left" ] }, "boundary": { "passed": 8, "total": 8, "failed": 0, "case_ids": [ "boundary-singular", "boundary-lstsq-rows", "boundary-rect-solve", "boundary-chol-nonsym", "boundary-chol-indef", "bnd-eigen3", "bnd-rank1", "bnd-chol3" ] }, "invalid": { "passed": 14, "total": 14, "failed": 0, "case_ids": [ "boundary-singular", "boundary-jordan-form", "boundary-lstsq-rows", "boundary-rect-solve", "boundary-chol-nonsym", "boundary-chol-indef", "inv-mode", "inv-singular", "inv-order", "inv-rect-rows", "inv-rect-solve", "inv-chol-nonsym", "inv-chol-indef", "inv-missing" ], "comparison": "exact_error_match", "records": [ { "id": "inv-mode", "comparison": "exact_error_match", "expected": { "code": "INVALID_MODE" }, "actual": { "code": "INVALID_MODE" }, "match": true }, { "id": "inv-singular", "comparison": "exact_error_match", "expected": { "code": "SINGULAR_MATRIX" }, "actual": { "code": "SINGULAR_MATRIX" }, "match": true }, { "id": "inv-order", "comparison": "exact_error_match", "expected": { "code": "INVALID_INPUT" }, "actual": { "code": "INVALID_INPUT" }, "match": true }, { "id": "inv-rect-rows", "comparison": "exact_error_match", "expected": { "code": "INVALID_INPUT" }, "actual": { "code": "INVALID_INPUT" }, "match": true }, { "id": "inv-rect-solve", "comparison": "exact_error_match", "expected": { "code": "INVALID_INPUT" }, "actual": { "code": "INVALID_INPUT" }, "match": true }, { "id": "inv-chol-nonsym", "comparison": "exact_error_match", "expected": { "code": "NOT_SYMMETRIC" }, "actual": { "code": "NOT_SYMMETRIC" }, "match": true }, { "id": "inv-chol-indef", "comparison": "exact_error_match", "expected": { "code": "NOT_POSITIVE_DEFINITE" }, "actual": { "code": "NOT_POSITIVE_DEFINITE" }, "match": true }, { "id": "inv-missing", "comparison": "exact_error_match", "expected": { "code": "MISSING_REQUIRED_INPUT" }, "actual": { "code": "MISSING_REQUIRED_INPUT" }, "match": true } ] }, "property": { "passed": 5, "total": 5, "failed": 0, "case_ids": [ "prop-det-10", "prop-inv-id", "prop-lstsq-normal", "prop-chol-llt", "prop-ker-dim" ], "kind": "fixed", "definition_ids": [ "det-2x2", "inv-times-a", "lstsq-normal-eq", "chol-reconstruct", "rank-nullity" ] }, "round_trip": { "passed": 0, "total": 0, "failed": 0, "case_ids": [] }, "metamorphic": { "passed": 0, "total": 0, "failed": 0, "case_ids": [] 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"det": 10, "formula": "dim im A = rank A", "algorithm": "gauss_jordan_rref + pivot_columns", "numeric_backend": "float64", "singularity_threshold": 1e-15, "condition_number": 14.3, "warnings": [] }, "error_ulp": 0, "threshold_ulp": 1e-10, "fields": [ { "field": "det", "ok": true, "error_ulp": 0 }, { "field": "rank", "ok": true, "error_ulp": 0 }, { "field": "dimension", "ok": true, "error_ulp": 0 }, { "field": "trivial", "ok": true, "error_ulp": 0 } ], "suite": "golden" }, { "id": "g-row", "reference": { "mode": "rowspace", "order": 2, "dimension": 2, "rank": 2, "trivial": false, "det": 10 }, "actual": { "mode": "rowspace", "order": 2, "A": [ [ 4, 7 ], [ 2, 6 ] ], "basis": [ [ 1, 0 ], [ 0, 1 ] ], "dimension": 2, "rank": 2, "trivial": false, "residual_max": 0, "pivot_columns": [ 1, 2 ], "rref": [ [ 1, 0 ], [ 0, 1 ] ], "det": 10, "formula": "dim row A = rank A", "algorithm": "gauss_jordan_rref + nonzero_rows", "numeric_backend": "float64", "singularity_threshold": 1e-15, "condition_number": 14.3, "warnings": [] }, "error_ulp": 0, "threshold_ulp": 1e-10, "fields": [ { "field": "det", "ok": true, "error_ulp": 0 }, { "field": "rank", "ok": true, "error_ulp": 0 }, { "field": "dimension", "ok": true, "error_ulp": 0 }, { "field": "trivial", "ok": true, "error_ulp": 0 } ], "suite": "golden" }, { "id": "g-left", "reference": { "mode": "leftnullspace", "order": 2, "dimension": 1, "rank": 1, "trivial": false, "det": 0 }, "actual": { "mode": "leftnullspace", "order": 2, "A": [ [ 1, 2 ], [ 2, 4 ] ], "basis": [ [ -2, 1 ] ], "dimension": 1, "rank": 1, "trivial": false, "residual_max": 0, "free_columns": [ 2 ], "pivot_columns": [ 1 ], "rref": [ [ 1, 2 ], [ 0, 0 ] ], "det": 0, "formula": "dim ker Aᵀ = n − rank A", "algorithm": "gauss_jordan_rref + transpose + free_variables", "numeric_backend": "float64", "singularity_threshold": 1e-15, "condition_number": null, "warnings": [] }, "error_ulp": 0, "threshold_ulp": 1e-10, "fields": [ { "field": "det", "ok": true, "error_ulp": 0 }, { "field": "rank", "ok": true, "error_ulp": 0 }, { "field": "dimension", "ok": true, "error_ulp": 0 }, { "field": "trivial", "ok": true, "error_ulp": 0 } ], "suite": "golden" }, { "id": "bnd-eigen3", "reference": { "mode": "eigen", "order": 3, "eigenvalues": [ { "re": 3, "im": 0 }, { "re": 2, "im": 0 }, { "re": 0.9999999999999998, "im": 0 } ], "n": 3, "det": 6 }, "actual": { "mode": "eigen", "order": 3, "A": [ [ 1, 0, 0 ], [ 0, 2, 0 ], [ 0, 0, 3 ] ], "eigenvalues": [ { "re": 1, "im": 0, "kind": "real" }, { "re": 2, "im": 0, "kind": "real" }, { "re": 3, "im": 0, "kind": "real" } ], "eigenvectors": [ { "re": [ 1, 0, 0 ], "im": [ 0, 0, 0 ], "residual": 0 }, { "re": [ 0, 1, 0 ], "im": [ 0, 0, 0 ], "residual": 0 }, { "re": [ 0, 0, 1 ], "im": [ 0, 0, 0 ], "residual": 0 } ], "eigenvectors_found": 3, "residual_max": 0, "char_poly": "x³ − 6x² + 11x − 6", "solver": "cardano", "det": 6, "formula": "det(A − λI) = 0", "algorithm": "faddeev_leverrier + math.polynomial.roots + nullspace", "numeric_backend": "float64", "singularity_threshold": 1e-15, "condition_number": 3, "warnings": [] }, "error_ulp": 0, "threshold_ulp": 1e-10, "fields": [ { "field": "det", "ok": true, "error_ulp": 0 }, { "ok": true, "error_ulp": 0, "field": "set" } ], "suite": "boundary" }, { "id": "bnd-rank1", "reference": { "mode": "rank", "order": 2, "rank": 1, "det": 0 }, "actual": { "mode": "rank", "order": 2, "A": [ [ 1, 2 ], [ 2, 4 ] ], "rank": 1, "det": 0, "formula": "rank via Gaussian elimination", "algorithm": "gaussian_elimination", "numeric_backend": "float64", "singularity_threshold": 1e-15, "condition_number": null, "warnings": [] }, "error_ulp": 0, "threshold_ulp": 1e-10, "fields": [ { "field": "det", "ok": true, "error_ulp": 0 }, { "field": "rank", "ok": true, "error_ulp": 0 } ], "suite": "boundary" }, { "id": "bnd-chol3", "reference": { "mode": "chol", "order": 3, "L": [ [ 2, 0, 0 ], [ 6, 1, 0 ], [ -8, 5, 3 ] ], "reconstruction_residual": 0 }, "actual": { "mode": "chol", "order": 3, "A": [ [ 4, 12, -16 ], [ 12, 37, -43 ], [ -16, -43, 98 ] ], "L": [ [ 2, 0, 0 ], [ 6, 1, 0 ], [ -8, 5, 3 ] ], "reconstruction_residual": 0, "formula": "A = LLᵀ", "algorithm": "cholesky", "numeric_backend": "float64", "singularity_threshold": 1e-15, "condition_number": 10209.3611111, "warnings": [] }, "error_ulp": 0, "threshold_ulp": 1e-10, "fields": [ { "field": "reconstruction_residual", "ok": true, "error_ulp": 0 }, { "field": "L", "ok": true, "error_ulp": 0 } ], "suite": "boundary" } ] }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only." }, "artifacts": { "evidence_bundle_sha256": "aa3925ccc40279f158f78482c25e51415ffa7adabeaf86600a5688c5db9adfbe", "evidence_digest": "81ab2bb4ee85cdce64ac82363e3df6683b8de193507cbec4c9e1856f0e5e00e2", "production_sha256": "ab66486c562fc7c8f16c9af1e1fa18208ecc7410ff0a33a12be34f8ad968b22b", "attested_catalog_sha256": "e00979a0a41218268bfef843cbca86f27d9855fac81f401e5f9defefca4b39ef", "production_checks": [ { "id": "math.linear_algebra:output-const", "status": "pass", "detail": "output const 1.10.0 vs capability 1.10.0", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z" }, { "id": "math.linear_algebra:evidence-sha256", "status": "pass", "detail": "890ccf927234", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z" }, { "id": "math.linear_algebra:semantic-contract", "status": "pass", "detail": "44/44", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z" }, { "id": "math.linear_algebra:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.10.0 vs origin 1.10.0", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z" }, { "id": "math.linear_algebra:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.linear_algebra/1.12.0/2026-09-22.vector-la-cvp/core/81ab2bb4ee85", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z", "projection_compared": false }, { "id": "math.linear_algebra:cvp-latest-alias-agrees", "status": "pass", "detail": "math.linear_algebra/1.12.0/2026-09-22.vector-la-cvp/core/81ab2bb4ee85", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z", "projection_compared": false }, { "id": "math.linear_algebra:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z" }, { "id": "math.linear_algebra:cvp-immutable-manifest-sha256", "status": "pass", "detail": "7450c4210fbc", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z" }, { "id": "math.linear_algebra:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.linear_algebra/1.12.0/2026-09-22.vector-la-cvp/core/81ab2bb4ee85", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z", "projection_compared": false }, { "id": "math.linear_algebra:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z" }, { "id": "math.linear_algebra:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-22T07:26:35.389Z" } ], "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": "81ab2bb4ee85cdce64ac82363e3df6683b8de193507cbec4c9e1856f0e5e00e2", "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": "81ab2bb4ee85cdce64ac82363e3df6683b8de193507cbec4c9e1856f0e5e00e2", "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": "2f1cbade00bfc05f771d6fc98db7456dd09e0d16fedf03f0979b5c79d5ae55b9", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "e00979a0a41218268bfef843cbca86f27d9855fac81f401e5f9defefca4b39ef", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "81ab2bb4ee85cdce64ac82363e3df6683b8de193507cbec4c9e1856f0e5e00e2" }, "dependencies": [ { "name": "linear-algebra-engine", "version": "1.12.0" }, { "name": "linear-algebra-reference-oracle", "version": "1.0.0" }, { "name": "math.vector", "version": "1.6.0", "role": "cross_calculator_peer", "capability_id": "math.vector", "evidence_digest": "17fa4092e577997d5f08362b90f9ded53cc83d8a9d56bb2f93e2507854513e64", "evidence": "https://www.calculatorx.com/evidence/math.vector/1.6.0.cvp.json" }, { "name": "math.polynomial.roots", "version": "1.2.1", "role": "cross_calculator_peer", "capability_id": "math.polynomial.roots", "evidence_digest": "6a2ac2cde6219237c0e85a901d560fefaef70e930e49552531a6bb084084cd81", "evidence": "https://www.calculatorx.com/evidence/math.polynomial.roots/1.2.1.cvp.json" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "STALE", "href": "/.well-known/calculatorx-production-attestation.json", "id": "2215e43bd5546922b9b7142484b40765c775fc3ae5e41ddad6f42d09a93ba13b", "attested_at": "2026-09-22T07:26:35.389Z", "last_confirmed_current_at": "2026-09-22T07:26:35.389Z", "site_attestation_current": false, "capability_attestation_current": false, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-09-22T04:19:22.066Z", "live_updated_at": "2026-09-22T06:30:48.082Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-09-22T04:19:22.066Z", "site_stale_count": 1 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 1, "site_stale_capability_count": 1, "stale_reason": "Capability production binding: STALE · Site report: STALE · Evidence changed after the last successful production attestation. Re-attestation required.", "evidence_attested_at": "2026-09-22T07:26:35.389Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.12.0", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-09-22T07:26:35.389Z", "generated_at": "2026-09-22T07:26:35.389Z", "rendered_at": "2026-09-22T07:26:35.389Z", "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." }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.linear_algebra/1.12.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.linear_algebra/1.12.0", "calculator": "https://www.calculatorx.com/calc/math/linear-system", "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.linear_algebra/1.12.0.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.linear_algebra/1.12.0/2026-09-22.vector-la-cvp.cvp.json", "manifest_core": "https://www.calculatorx.com/evidence/math.linear_algebra/1.12.0/2026-09-22.vector-la-cvp.81ab2bb4ee85.cvp.json" } }