{ "protocol": { "name": "CVP", "version": "1.0.0-proposed" }, "document_status": "proposed", "calculator": { "id": "factorial", "version": "1.0.2", "title": "Factorial Calculator", "formula_family": "factorial", "capability_id": "math.factorial", "verification_revision": "2026-09-08.exact-integer-profile" }, "profile": "core", "status": "VERIFIED", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "20.19.2", "numeric_model": "exact_integer", "os": "darwin" }, "suite": { "id": "factorial", "version": "1.0.2", "uri": "https://www.calculatorx.com/evidence/math.factorial/1.0.2.json", "verification_revision": "2026-09-08.exact-integer-profile" }, "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-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "NIST Digital Library of Mathematical Functions, Chapter 5", "kind": "other", "reference": "Gamma Function", "url": "https://dlmf.nist.gov/5" }, { "label": "NIST DLMF §5.4", "kind": "other", "reference": "Special values and extrema", "url": "https://dlmf.nist.gov/5.4" }, { "label": "CalculatorX mathematical conventions", "kind": "other", "reference": "Domain 0 ≤ n ≤ 5000; exact BigInt n!" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "n! exact BigInt product; acceptance is exact decimal-string identity" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "0 ≤ n ≤ 5000 ordinary factorial" }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "dimensionless integer" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O3 Python math.factorial expected_values/numerical_behavior (exact decimal identity) + O2 Node BigInt live oracle (same_runtime_as_iut)" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "8/8 legacy golden; 6/6 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "7/7 boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "6 invalid-domain cases" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "exact_integer · BigInt · exact_equality (actual exact decimal string === independent oracle exact decimal string); mismatches=0; ULP not applicable" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "2/2 declared partitions (factorial, invalid-domain) · 8 golden / 7 boundary unique cases · 6 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "1/1 contract checks" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine factorial; exact_integer BigInt (IUT/O2) · CPython int (O3). Node is a runtime dependency, not the numeric model" }, "CVP-ART-01": { "result": "PASS", "applicability": "required", "notes": "release_integrity.status=verified · evidence_digest=CVP verification fingerprint v2 (canonical inputs, expected/actual/status, policy, versions; independent of generated_at) · evidence_bundle_sha256=legacy Evidence JSON bytes · production_sha256=bound production attestation report" }, "CVP-PROD-01": { "result": "PASS", "applicability": "required", "notes": "CURRENT · site report pass · local checks pass · attestation_id=00c818a77ba026c2d6aa3f7402680cd2dac2a40a816209600bc3c3fcd0b8921c · CURRENT · Public schema 1.0.2 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.2 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-reproduce-manifest-agree=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=9424f31d3ca937ec4a453e41479201945df6495214f0a220ebb742e7fd1c3f20" }, "CVP-DIM-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "Unitless core calculator — no physical dimension algebra" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "19/19 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "5/5 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": "SKIP", "applicability": "not_applicable", "notes": "No related calculator in the same formula family / no related-identity peers declared — control not in obligation set" }, "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." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 23/23 tabulated vectors vs IUT · Exact decimal-string identity vs Python math.factorial on the 23 published tabulated vectors (named 0,1,5,10,20,100,5000 plus 16 seeded n in 0–4999). 5000! is verified as the full 16,326-digit value and as SHA-256 of those ASCII digits. This is not a whole-domain proof beyond the published table." }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "expert_reviewed=false" } }, "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." }, "artifacts": { "evidence_bundle_sha256": "7ad8a59d00fff52fff82d15030018e2c54612f472d070f73f9cd7388fe13cf10", "evidence_digest": "b7065c58307c3477dc76583b92ad80a0fffcbe5c4ed3ec567d0cd56fa6edf1a6", "production_sha256": "9424f31d3ca937ec4a453e41479201945df6495214f0a220ebb742e7fd1c3f20", "attested_catalog_sha256": "e03ef81b30568018b171fd1fc4757c2abe9df7220d9ff35bbaf08038d7630cdb", "production_checks": [ { "id": "math.factorial:output-const", "status": "pass", "detail": "output const 1.0.2 vs capability 1.0.2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.factorial:evidence-sha256", "status": "pass", "detail": "dbb73a668bdd", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.factorial:semantic-contract", "status": "pass", "detail": "24/24", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.factorial:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.2 vs origin 1.0.2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.factorial:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.factorial/1.0.2/2026-09-08.exact-integer-profile/core/b7065c58307c", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z", "projection_compared": false, "observed_live_projection_at_attestation": "VERIFIED" }, { "id": "math.factorial:cvp-reproduce-manifest-agree", "status": "pass", "detail": "2026-09-08.exact-integer-profile · f96ef604c13d", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.factorial:calculator-html-cvp-projection", "status": "pass", "detail": "matches Manifest", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.factorial:evidence-html-cvp-projection", "status": "pass", "detail": "matches Manifest", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" } ] }, "dependencies": [ { "name": "factorial-engine", "version": "1.0.2" }, { "name": "factorial-reference-oracle", "version": "1.0.0" }, { "name": "factorial-python-math-o3", "version": "factorial-python-math-o3" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "00c818a77ba026c2d6aa3f7402680cd2dac2a40a816209600bc3c3fcd0b8921c", "attested_at": "2026-09-10T02:52:51.379Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.2" }, "timestamps": { "verified_at": "2026-09-10T03:41:46.760Z", "generated_at": "2026-09-10T03:41:46.760Z" }, "tests": { "golden": { "passed": 6, "total": 6, "failed": 0 }, "boundary": { "passed": 7, "total": 7, "failed": 0 }, "invalid": { "passed": 6, "total": 6, "failed": 0 }, "property": { "passed": 19, "total": 19, "failed": 0 }, "round_trip": { "passed": 0, "total": 0, "failed": 0 }, "metamorphic": { "passed": 5, "total": 5, "failed": 0 }, "contract": { "passed": 1, "total": 1, "failed": 0 }, "cross_interface": { "passed": 1, "total": 1, "failed": 0 }, "o3": { "passed": 23, "total": 23, "failed": 0, "claim_scope": "Exact decimal-string identity vs Python math.factorial on the 23 published tabulated vectors (named 0,1,5,10,20,100,5000 plus 16 seeded n in 0–4999). 5000! is verified as the full 16,326-digit value and as SHA-256 of those ASCII digits. 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