{ "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": "quadratic", "version": "1.1.2", "title": "Quadratic Formula Calculator", "formula_family": "quadratic", "capability_id": "math.quadratic", "verification_revision": "2026-10-27.full-review-v1" }, "profile": "core", "verified_scope": "solve and four quadratic inequality operators", "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": "quadratic", "version": "1.1.2", "uri": "https://www.calculatorx.com/evidence/math.quadratic/1.1.2.json", "verification_revision": "2026-10-27.full-review-v1" }, "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-META-01", "CVP-XCAL-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "Margaret Stevens — The Maths Workbook (University of Oxford)", "kind": "other", "reference": "Chapter 1, §3.4: Quadratic Equations", "url": "https://www.some.ox.ac.uk/wp-content/uploads/2024/08/Maths-Workbook.pdf" }, { "label": "Gilbert Strang, Calculus — Chapter 9: Polar Coordinates and Complex Numbers (MIT OpenCourseWare)", "kind": "other", "reference": "§9.4 Complex Numbers", "url": "https://ocw.mit.edu/courses/res-18-001-calculus-fall-2023/mitres_18_001_f17_ch09.pdf" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "Exact bounded rational discriminant, shifted constant and vertex; scaled square root/stable q; no epsilon branches." }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Two entries: solve and inequality lt/le/gt/ge. Required unrepresentable scalar or collapsed roots reject. Old1.1.1/O3 artifacts retained; new independent Fraction/Decimal800/1100 complete packs." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "Consistent coefficient/x units" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O2 expected_values + O2 numerical_behavior" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "6/6 legacy golden; 66/66 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "3/3 CVP boundary · 3/3 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "3 Evidence illegal-input + 30/30 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": "6/6 declared partitions (solve, inequality-lt, inequality-le, inequality-gt, inequality-ge, invalid-domain) · 6 legacy golden / 3 CVP boundary unique cases · 3 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 quadratic; 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 @ 2026-10-28T05:12:29.275Z (15 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 (15 capabilities; 361 remain CURRENT) @ 2026-10-28T05:12:29.275Z · Public schema 1.1.2 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.1.2 · 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=0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae · verified_at=2026-10-27T10:45:54.857Z · evidence_attested_at=2026-10-27T10:45:54.857Z · last_confirmed_current_at=2026-10-28T05:11:56.928Z · rendered_at=2026-10-28T05:12:29.921Z · binds=cvp_core_sha256", "check_result": "PASS", "production_state": "CURRENT", "binding_current": true }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "Quadratic equation and ordered real sets" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "1/1 metamorphic" }, "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": "1/1 cross-calculator · polynomial-quadratic 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 30/30 (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" } }, "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 30/30 (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": "6388df84a884f7ba122591e9cd73902075112dee9713c8e50857b2ed5befe2a9", "evidence_digest": "fbb37f7854b653e5201ec6461a370ab44cd6f4fd481829e967976dbe9e52e436", "production_sha256": "0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae", "attested_catalog_sha256": "163b0d7072a58bed20a0320572211167e1629730bef43c185b5f545ceac7744c", "production_checks": [ { "id": "math.quadratic:output-const", "status": "pass", "detail": "output const 1.1.2 vs capability 1.1.2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z" }, { "id": "math.quadratic:evidence-sha256", "status": "pass", "detail": "e80d3cf9d9e4", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z" }, { "id": "math.quadratic:semantic-contract", "status": "pass", "detail": "9/9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z" }, { "id": "math.quadratic:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.1.2 vs origin 1.1.2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z" }, { "id": "math.quadratic:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.quadratic/1.1.2/2026-10-27.full-review-v1/core/fbb37f7854b6", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z", "projection_compared": false }, { "id": "math.quadratic:cvp-latest-alias-agrees", "status": "pass", "detail": "math.quadratic/1.1.2/2026-10-27.full-review-v1/core/fbb37f7854b6", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z", "projection_compared": false }, { "id": "math.quadratic:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z" }, { "id": "math.quadratic:cvp-immutable-manifest-sha256", "status": "pass", "detail": "fbb37f7854b6", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z" }, { "id": "math.quadratic:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.quadratic/1.1.2/2026-10-27.full-review-v1/core/fbb37f7854b6", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z", "projection_compared": false }, { "id": "math.quadratic:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z" }, { "id": "math.quadratic:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-27T10:45:54.857Z" } ], "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": "fbb37f7854b653e5201ec6461a370ab44cd6f4fd481829e967976dbe9e52e436", "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": "fbb37f7854b653e5201ec6461a370ab44cd6f4fd481829e967976dbe9e52e436", "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": "e80d3cf9d9e4c3262785fa23315e59c251105441af68afe881730667ba62440a", "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": "fbb37f7854b653e5201ec6461a370ab44cd6f4fd481829e967976dbe9e52e436" }, "dependencies": [ { "name": "quadratic-engine", "version": "1.1.2" }, { "name": "quadratic-reference-oracle", "version": "1.0.0" }, { "name": "math.polynomial.roots", "version": "1.2.2", "role": "cross_calculator_peer", "capability_id": "math.polynomial.roots", "evidence_digest": "332c2e87bb29dbec06cab8650488576fb044ce2903b3e710c65d5ccdd61c49f6", "evidence": "https://www.calculatorx.com/evidence/math.polynomial.roots/1.2.2.cvp.json" }, { "name": "node", "version": "22.20.0" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "f3abb5d04ebc51171f259234b69628b210f1534445c968974f68a48041bc5e07", "attested_at": "2026-10-27T10:45:54.857Z", "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": "2026-10-28T05:12:29.275Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-10-28T05:11:56.928Z", "site_stale_count": 15 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 15, "site_stale_capability_count": 15, "evidence_attested_at": "2026-10-27T10:45:54.857Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.1.2", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-10-27T10:45:54.857Z", "generated_at": "2026-10-27T10:45:54.857Z", "rendered_at": "2026-10-28T05:12:29.921Z", "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": 66, "total": 66, "failed": 0 }, "boundary": { "passed": 3, "total": 3, "failed": 0 }, "invalid": { "passed": 33, "total": 33, "failed": 0, "comparison": "exact_error_match" }, "property": { "passed": 3, "total": 3, "failed": 0 }, "round_trip": { "passed": 0, "total": 0, "failed": 0 }, "metamorphic": { "passed": 1, "total": 1, "failed": 0 }, "contract": { "passed": 5, "total": 5, "failed": 0 }, "cross_interface": { "passed": 97, "total": 97, "failed": 0 }, "cross_calculator": { "passed": 1, "total": 1, "failed": 0 } }, "numerical": { "representation": "Bounded exact rational decisions on accepted binary64 inputs; binary64 required outputs", "tolerance": { "type": "ulp", "value": 4, "rationale": "Root coordinates atmost4ULP on fixed vectors; other numeric fields/structure/presentation strict. Reference stable at Decimal800/1100.", "declared_before_evaluation": true }, "max_error_observed": 0, "claim_scope": "66 listed independent complete packs only" }, "coverage": { "partitions": [ { "id": "solve", "description": "Equation roots", "exercised": true, "case_count": 38 }, { "id": "inequality-lt", "description": "Inequality lt", "exercised": true, "case_count": 9 }, { "id": "inequality-le", "description": "Inequality le", "exercised": true, "case_count": 9 }, { "id": "inequality-gt", "description": "Inequality gt", "exercised": true, "case_count": 9 }, { "id": "inequality-ge", "description": "Inequality ge", "exercised": true, "case_count": 9 }, { "id": "invalid-domain", "description": "Invalid raw/applicability/range", "exercised": true, "case_count": 33 } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Quadratic formula, discriminant and sign intervals" }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Independent CPython Fraction and Decimal800/1100 complete packs", "engine": { "name": "CPython Fraction/Decimal", "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Independent CPython Fraction and Decimal800/1100 complete packs", "engine": { "name": "CPython Fraction/Decimal", "independent_of_iut": true } } ] }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.quadratic/1.1.2.json", "evidence_page": "https://www.calculatorx.com/evidence/math.quadratic/1.1.2", "calculator": "https://www.calculatorx.com/calc/math/quadratic", "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.quadratic/1.1.2.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.quadratic/1.1.2/2026-10-27.full-review-v1.cvp.json", "manifest_core": "https://www.calculatorx.com/evidence/math.quadratic/1.1.2/2026-10-27.full-review-v1.fbb37f7854b6.cvp.json" }, "disclosure": { "policy": "calculatorx-public-evidence-v1", "full_validation": "private", "representation": "summary" } }