{ "protocol": { "name": "CVP", "version": "1.0.0-proposed" }, "document_status": "proposed", "calculator": { "id": "fractions", "version": "1.0.5", "title": "Fractions Calculator", "formula_family": "fractions", "capability_id": "math.fractions" }, "profile": "core", "status": "VERIFIED", "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": "fractions", "version": "1.0.5", "uri": "https://www.calculatorx.com/evidence/math.fractions/1.0.5.json" }, "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-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "OpenStax — Prealgebra 2e", "kind": "other", "reference": "4.5 Add and Subtract Fractions with Different Denominators", "url": "https://openstax.org/books/prealgebra-2e/pages/4-5-add-and-subtract-fractions-with-different-denominators" }, { "label": "OpenStax — Prealgebra 2e", "kind": "other", "reference": "4.2 Multiply and Divide Fractions", "url": "https://openstax.org/books/prealgebra-2e/pages/4-2-multiply-and-divide-fractions" }, { "label": "OpenStax — Prealgebra 2e", "kind": "other", "reference": "4.3 Multiply and Divide Mixed Numbers and Complex Fractions", "url": "https://openstax.org/books/prealgebra-2e/pages/4-3-multiply-and-divide-mixed-numbers-and-complex-fractions" } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Fraction arithmetic with LCD reduction" }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module fractions oracle — independent LCD / product arithmetic", "engine": { "name": "fractions-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs exact n/d comparison vs IUT", "engine": { "name": "fractions-reference", "precision_bits": 53, "independent_of_iut": true } } ], "notes": "Golden expected values use a separate O2 module (not IUT transcription). O2 shares Node/V8 binary64 with the IUT unless noted otherwise." }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "LCD add/sub; product; reciprocal divide" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "O2 gold: operate (+/−/×/÷) and simplify" }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "dimensionless rational" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O2 expected_values + O2 numerical_behavior" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "20/20 legacy golden; 1/1 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "8/8 boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "6 invalid-domain cases" }, "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": "2/2 declared partitions (fractions, invalid-domain) · 20 golden / 8 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 fractions; Node binary64" }, "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 1.0.5 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.5 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-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": "2/2 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "1/1 metamorphic" }, "CVP-ROUND-01": { "result": "PASS", "applicability": "applicable", "notes": "1/1 round-trips" }, "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": "SKIP", "applicability": "higher_assurance", "notes": "O2 present; O3 not required this wave" }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "expert_reviewed=false" } }, "tests": { "golden": { "passed": 1, "total": 1, "failed": 0, "case_ids": [ "g-add" ] }, "boundary": { "passed": 8, "total": 8, "failed": 0, "case_ids": [ "boundary-den-zero-a", "boundary-den-zero-b", "boundary-div-zero", "boundary-missing", "boundary-invalid-num", "boundary-from-dec-empty", "boundary-alias-add", "boundary-from-neg-decimal" ] }, "invalid": { "passed": 6, "total": 6, "failed": 0, "case_ids": [ "boundary-den-zero-a", "boundary-den-zero-b", "boundary-div-zero", "boundary-missing", "boundary-invalid-num", "boundary-from-dec-empty" ] }, "property": { "passed": 2, "total": 2, "failed": 0, "case_ids": [ "prop-add-zero", "prop-mul-one" ], "definition_ids": [ "add-zero", "mul-one" ] }, "round_trip": { "passed": 1, "total": 1, "failed": 0, "case_ids": [ "rt-add-sub" ] }, "metamorphic": { "passed": 1, "total": 1, "failed": 0, "case_ids": [ "meta-commute-add" ], "definition_ids": [ "commutative-add" ] }, "contract": { "passed": 1, "total": 1, "failed": 0 }, "cross_interface": { "passed": 1, "total": 1, "failed": 0, "case_ids": [ "iface-add" ] } }, "coverage": { "partitions": [ { "id": "fractions", "description": "operate/simplify", "exercised": true, "case_count": 31 }, { "id": "invalid-domain", "description": "Invalid inputs", "exercised": true, "case_count": 6 } ] }, "numerical": { "representation": "exact integer rational", "tolerance": { "type": "absolute", "value": 0, "rationale": "Independent LCD/product fraction ops; exact improper match vs IUT. Declared a priori.", "declared_before_evaluation": true }, "max_error_observed": 0, "records": [ { "id": "g-add", "reference": { "mode": "operate", "op": "+", "n": 11, "d": 12, "improper": "11/12" }, "actual": { "mode": "operate", "op": "+", "n": 11, "d": 12, "improper": "11/12", "mixed": "11/12", "display": "11/12", "decimal": "0.916666666667", "decimal_display": "0.916666666667", "formula": "L = LCM(b, d); a/b + c/d = [a(L/b) + c(L/d)] / L", "steps": [ "3/4 + 1/6", "LCD = LCM(4, 6) = 12", "3/4 = 9/12", "1/6 = 2/12", "9/12 + 2/12 = 11/12", "GCF(11, 12) = 1", "11/12 is already in lowest terms.", "Decimal: 11 ÷ 12 ≈ 0.916666666667" ], "explainer": "3/4 + 1/6 = 11/12 ≈ 0.916666666667.", "inputs_label": "3/4 + 1/6", "heading": "Result", "mode_label": "Operate" }, "error_ulp": 0, "threshold_ulp": 0 } ] }, "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": "5378fa553a9cb2ff3b80369cdad42d3d49994d5cabf0a2243430336c3e17a32a", "evidence_digest": "b258a9be030c4a38358467f9fc090373d0e2e97fab208e32b3193346a0454117", "production_sha256": "9424f31d3ca937ec4a453e41479201945df6495214f0a220ebb742e7fd1c3f20", "attested_catalog_sha256": "e03ef81b30568018b171fd1fc4757c2abe9df7220d9ff35bbaf08038d7630cdb", "production_checks": [ { "id": "math.fractions:output-const", "status": "pass", "detail": "output const 1.0.5 vs capability 1.0.5", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.fractions:evidence-sha256", "status": "pass", "detail": "639ae158bab9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.fractions:semantic-contract", "status": "pass", "detail": "32/32", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.fractions:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.5 vs origin 1.0.5", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.fractions:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.fractions/1.0.5/-/core/b258a9be030c", "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.fractions: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.fractions: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": "fractions-engine", "version": "1.0.5" }, { "name": "fractions-reference-oracle", "version": "1.0.0" }, { "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": "1.0.5" }, "timestamps": { "verified_at": "2026-09-10T03:41:46.903Z", "generated_at": "2026-09-10T03:41:46.903Z" }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.fractions/1.0.5.json", "evidence_page": "https://www.calculatorx.com/evidence/math.fractions/1.0.5", "calculator": "https://www.calculatorx.com/calc/math/fractions", "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.fractions/1.0.5.cvp.json" } }