{
  "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": "ratio",
    "version": "1.0.2",
    "title": "Ratio Calculator",
    "formula_family": "ratio",
    "capability_id": "math.ratio",
    "verification_revision": "2026-09-16.sources-no-wolfram"
  },
  "profile": "core",
  "verified_scope": "all published modes",
  "status": "VERIFIED",
  "verification_status": "VERIFIED",
  "production_freshness": "CURRENT",
  "overall_trust": "VERIFIED",
  "runner": {
    "name": "cvp-runner",
    "version": "1.0.0"
  },
  "environment": {
    "runtime": "node",
    "runtime_version": "20.19.2",
    "numeric_model": "exact_rational",
    "os": "darwin",
    "runtime_engine": "v8",
    "runtime_numeric_environment": "Node/V8 host. IEEE-754 exists in the runtime but is not the algorithm numeric model. Ratio arithmetic is BigInt exact rational with exact_equality."
  },
  "suite": {
    "id": "ratio",
    "version": "1.0.2",
    "uri": "https://www.calculatorx.com/evidence/math.ratio/1.0.2.json",
    "verification_revision": "2026-09-16.sources-no-wolfram"
  },
  "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 — Ratios and Rates",
        "kind": "other",
        "reference": "5.6 Ratios and rates; writing and simplifying A:B",
        "url": "https://openstax.org/books/prealgebra-2e/pages/5-6-ratios-and-rates"
      },
      {
        "label": "OpenStax Prealgebra 2e — Solve Proportions",
        "kind": "other",
        "reference": "6.5 Cross-multiply to solve A/B = C/D",
        "url": "https://openstax.org/books/prealgebra-2e/pages/6-5-solve-proportions-and-their-applications"
      },
      {
        "label": "Encyclopedia of Mathematics — Greatest common divisor",
        "kind": "other",
        "reference": "Pairwise Euclidean GCF used after clearing denominators",
        "url": "https://encyclopediaofmath.org/wiki/Greatest_common_divisor"
      },
      {
        "label": "CalculatorX split convention",
        "kind": "other",
        "reference": "Nonnegative parts only"
      }
    ]
  },
  "reference": {
    "items": [
      {
        "class": "O1",
        "reference_scope": "model",
        "scope": "model",
        "label": "Exact-rational n-term ratio algebra (simplify / proportion / scale / split / compare / convert)"
      },
      {
        "class": "O2",
        "reference_scope": "expected_values",
        "scope": "expected_values",
        "label": "Separate-module ratio oracle — independent exact-rational simplify / proportion / scale / split / compare / convert (same runtime as IUT; not IUT transcription)",
        "engine": {
          "name": "ratio-reference",
          "independent_of_iut": true,
          "same_runtime_as_iut": true,
          "runtime": "node",
          "numeric_model": "exact_rational",
          "representation": "exact_rational",
          "criterion": "actual exact ratio string === independent oracle exact ratio string",
          "arithmetic": "BigInt exact rational",
          "comparison": "exact_equality"
        }
      },
      {
        "class": "O2",
        "reference_scope": "numerical_behavior",
        "scope": "numerical_behavior",
        "label": "Same O2 module backs exact ratio-string identity vs IUT — exact_equality, ULP not applicable",
        "engine": {
          "name": "ratio-reference",
          "independent_of_iut": true,
          "same_runtime_as_iut": true,
          "runtime": "node",
          "numeric_model": "exact_rational",
          "representation": "exact_rational",
          "criterion": "actual exact ratio string === independent oracle exact ratio string",
          "arithmetic": "BigInt exact rational",
          "comparison": "exact_equality"
        }
      }
    ],
    "notes": "Golden expected values use a separate O2 module (not IUT transcription). Numeric model is exact_rational (ECMAScript BigInt n/d, exact_equality). Node/V8 is a runtime dependency, not IEEE-754 binary64. ULP is not applicable."
  },
  "controls": {
    "CVP-PROV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "Sources present on evidence"
    },
    "CVP-MODEL-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "n-term exact-rational simplify via LCM clearing + GCF; proportion A/B=C/D; scale; split; compare; convert"
    },
    "CVP-SCOPE-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "Declared CVP coverage is all six published modes (simplify, proportion, scale, split, compare, convert), including A:B:C where those modes support it. Integer, terminating-decimal, and simple a/b terms."
    },
    "CVP-UNIT-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "dimensionless ratio"
    },
    "CVP-REF-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "O1 model + O2 expected_values/numerical_behavior (exact_equality; same_runtime_as_iut; not IEEE-754)"
    },
    "CVP-GOLD-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "11/11 legacy golden; 13/13 oracle-backed numeric"
    },
    "CVP-BND-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "7/7 CVP boundary · 7/7 legacy Evidence boundary"
    },
    "CVP-INV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "7 invalid-domain cases"
    },
    "CVP-NUM-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "exact_rational · BigInt n/d · exact_equality (actual exact ratio string === independent oracle exact ratio string); mismatches=0; ULP not applicable; Node is runtime host only"
    },
    "CVP-COV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "8/8 declared partitions (simplify, proportion, scale, split, compare, convert, three-term, invalid-domain) · 11 legacy golden / 7 CVP boundary unique cases · 7 Evidence invalid-input (may overlap boundary)"
    },
    "CVP-CONTRACT-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "8/8 CVP contract"
    },
    "CVP-DEP-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "engine ratio; exact_rational BigInt (IUT/O2). Node is a runtime dependency, not the numeric model"
    },
    "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 @ 2026-09-16T06:43:50.908Z · live site-wide report stale @ 2026-09-16T06:44:02.960Z (7 other capabilities) · local checks pass · attestation_id=9864b02dd59e627629179439ae27934aea8c6fd24193702e66c56019c5e3e050 · This calculator CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-09-16T06:43:50.908Z · Live production status STALE (7 capabilities; 157 remain CURRENT) @ 2026-09-16T06:44:02.960Z · 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-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=31e075dd2788e7c13520557df716a4e118f4844aca3908f8b06acf4a41fad0cc · verified_at=2026-09-16T06:43:11.172Z · evidence_attested_at=2026-09-16T06:43:11.172Z · last_confirmed_current_at=2026-09-16T06:43:50.908Z · rendered_at=2026-09-16T06:44:03.000Z · 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": "7/7 property"
    },
    "CVP-META-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "2/2 metamorphic"
    },
    "CVP-ROUND-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "2/2 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": "named expert review not performed"
    }
  },
  "tests": {
    "golden": {
      "passed": 13,
      "total": 13,
      "failed": 0,
      "case_ids": [
        "g-simp",
        "g-simp-dec",
        "g-simp-frac",
        "g-simp-3",
        "g-simp-neg",
        "g-simp-zero",
        "g-prop",
        "g-scale",
        "g-scale-3",
        "g-split",
        "g-split-3",
        "g-compare",
        "g-convert"
      ]
    },
    "boundary": {
      "passed": 7,
      "total": 7,
      "failed": 0,
      "case_ids": [
        "boundary-all-zero",
        "boundary-missing",
        "boundary-split-negative",
        "boundary-split-zero-sum",
        "boundary-proportion-two-blanks",
        "boundary-proportion-d-zero",
        "boundary-scale-divide-zero"
      ]
    },
    "invalid": {
      "passed": 7,
      "total": 7,
      "failed": 0,
      "case_ids": [
        "boundary-all-zero",
        "boundary-missing",
        "boundary-split-negative",
        "boundary-split-zero-sum",
        "boundary-proportion-two-blanks",
        "boundary-proportion-d-zero",
        "boundary-scale-divide-zero"
      ]
    },
    "property": {
      "passed": 7,
      "total": 7,
      "failed": 0,
      "case_ids": [
        "prop-lowest",
        "prop-already",
        "prop-cross-multiply",
        "prop-scale-one",
        "prop-split-sum",
        "prop-compare-eq",
        "prop-convert-ab"
      ],
      "definition_ids": [
        "lowest-terms",
        "already-lowest",
        "proportion-cross",
        "scale-identity",
        "split-conserves-total",
        "compare-equivalent",
        "convert-part-to-part"
      ]
    },
    "round_trip": {
      "passed": 2,
      "total": 2,
      "failed": 0,
      "case_ids": [
        "rt-simp-scale",
        "rt-prop-compare"
      ]
    },
    "metamorphic": {
      "passed": 2,
      "total": 2,
      "failed": 0,
      "case_ids": [
        "meta-simp-scale",
        "meta-split-double-total"
      ],
      "definition_ids": [
        "simplify-scale-invariant",
        "split-scale-total"
      ]
    },
    "contract": {
      "passed": 8,
      "total": 8,
      "failed": 0
    },
    "cross_interface": {
      "passed": 3,
      "total": 3,
      "failed": 0,
      "case_ids": [
        "iface-simp",
        "iface-prop",
        "iface-split-3"
      ]
    }
  },
  "coverage": {
    "partitions": [
      {
        "id": "simplify",
        "description": "Simplify to lowest terms (A:B and A:B:C)",
        "exercised": true,
        "case_count": 22
      },
      {
        "id": "proportion",
        "description": "Solve A:B = C:D for one blank",
        "exercised": true,
        "case_count": 4
      },
      {
        "id": "scale",
        "description": "Scale all terms by k",
        "exercised": true,
        "case_count": 5
      },
      {
        "id": "split",
        "description": "Allocate a total by ratio parts",
        "exercised": true,
        "case_count": 6
      },
      {
        "id": "compare",
        "description": "Equivalent-ratio comparison",
        "exercised": true,
        "case_count": 3
      },
      {
        "id": "convert",
        "description": "Part-to-part / part-of-whole conversion",
        "exercised": true,
        "case_count": 3
      },
      {
        "id": "three-term",
        "description": "A:B:C (simplify / scale / split)",
        "exercised": true,
        "case_count": 9
      },
      {
        "id": "invalid-domain",
        "description": "Invalid inputs",
        "exercised": true,
        "case_count": 7
      }
    ]
  },
  "numerical": {
    "profile": "exact_rational",
    "representation": "exact_rational",
    "arithmetic": "BigInt exact rational",
    "comparison": "exact_equality",
    "criterion": "actual exact ratio string === independent oracle exact ratio string",
    "exact_policy": true,
    "ulp_applicable": false,
    "tolerance": {
      "type": "exact",
      "value": 0,
      "declared_before_evaluation": true,
      "rationale": "Ratio arithmetic is exact rational (BigInt n/d). Acceptance is exact string identity vs an independent O2 module. Comparison is exact_equality; ULP is not applicable. Node/V8 is the host runtime, not the algorithm numeric model. Declared a priori."
    },
    "claim_scope": "All six published Ratio modes (simplify, proportion, scale, split, compare, convert), including A:B:C where those modes support it. Independent O2 expected values; exact rational BigInt; Node is runtime host only.",
    "exact_mismatches": 0,
    "records": [
      {
        "id": "g-simp",
        "reference": {
          "mode": "simplify",
          "value": "2:3",
          "ratio": "2:3"
        },
        "actual": {
          "mode": "simplify",
          "mode_label": "Simplify",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
          "heading": "Simplified ratio",
          "value": "2:3",
          "ratio": "2:3",
          "terms": [
            2,
            3
          ],
          "terms_exact": [
            "2",
            "3"
          ],
          "gcf": 6,
          "clearing_factor": 1,
          "inputs_summary": "12:18",
          "explainer": "12:18 → 2:3.",
          "steps": [
            "Given: 12:18",
            "Divide both terms by GCF 6.",
            "Simplified: 2:3"
          ],
          "viz_terms": [
            {
              "value": "2",
              "n": "2",
              "d": "1"
            },
            {
              "value": "3",
              "n": "3",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 3,
        "reference_sha256": "8e0375adfc1f456327247b91b11520cf9c2616e04503a43a71873485a07a6542",
        "actual_sha256": "8e0375adfc1f456327247b91b11520cf9c2616e04503a43a71873485a07a6542",
        "suite": "golden"
      },
      {
        "id": "g-simp-dec",
        "reference": {
          "mode": "simplify",
          "value": "2:3",
          "ratio": "2:3"
        },
        "actual": {
          "mode": "simplify",
          "mode_label": "Simplify",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
          "heading": "Simplified ratio",
          "value": "2:3",
          "ratio": "2:3",
          "terms": [
            2,
            3
          ],
          "terms_exact": [
            "2",
            "3"
          ],
          "gcf": 3,
          "clearing_factor": 4,
          "inputs_summary": "1.5:2.25",
          "explainer": "1.5:2.25 → 2:3.",
          "steps": [
            "Given: 1.5:2.25",
            "Exact rationals → multiply both terms by LCM of denominators 4 → 6:9.",
            "GCF = 3",
            "Simplified: 2:3"
          ],
          "viz_terms": [
            {
              "value": "2",
              "n": "2",
              "d": "1"
            },
            {
              "value": "3",
              "n": "3",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 3,
        "reference_sha256": "8e0375adfc1f456327247b91b11520cf9c2616e04503a43a71873485a07a6542",
        "actual_sha256": "8e0375adfc1f456327247b91b11520cf9c2616e04503a43a71873485a07a6542",
        "suite": "golden"
      },
      {
        "id": "g-simp-frac",
        "reference": {
          "mode": "simplify",
          "value": "9:10",
          "ratio": "9:10"
        },
        "actual": {
          "mode": "simplify",
          "mode_label": "Simplify",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
          "heading": "Simplified ratio",
          "value": "9:10",
          "ratio": "9:10",
          "terms": [
            9,
            10
          ],
          "terms_exact": [
            "9",
            "10"
          ],
          "gcf": 1,
          "clearing_factor": 12,
          "inputs_summary": "0.75:5/6",
          "explainer": "0.75:5/6 → 9:10.",
          "steps": [
            "Given: 0.75:5/6",
            "Exact rationals → multiply both terms by LCM of denominators 12 → 9:10.",
            "GCF = 1",
            "Simplified: 9:10"
          ],
          "viz_terms": [
            {
              "value": "9",
              "n": "9",
              "d": "1"
            },
            {
              "value": "10",
              "n": "10",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 4,
        "reference_sha256": "182b2400fb53af5591e8675150e4f6c3be7ef2557c855c1cc8a5d83e0ed3fd0d",
        "actual_sha256": "182b2400fb53af5591e8675150e4f6c3be7ef2557c855c1cc8a5d83e0ed3fd0d",
        "suite": "golden"
      },
      {
        "id": "g-simp-3",
        "reference": {
          "mode": "simplify",
          "value": "2:3:4",
          "ratio": "2:3:4"
        },
        "actual": {
          "mode": "simplify",
          "mode_label": "Simplify",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
          "heading": "Simplified ratio",
          "value": "2:3:4",
          "ratio": "2:3:4",
          "terms": [
            2,
            3,
            4
          ],
          "terms_exact": [
            "2",
            "3",
            "4"
          ],
          "gcf": 3,
          "clearing_factor": 1,
          "inputs_summary": "6:9:12",
          "explainer": "6:9:12 → 2:3:4.",
          "steps": [
            "Given: 6:9:12",
            "Divide all terms by GCF 3.",
            "Simplified: 2:3:4"
          ],
          "viz_terms": [
            {
              "value": "2",
              "n": "2",
              "d": "1"
            },
            {
              "value": "3",
              "n": "3",
              "d": "1"
            },
            {
              "value": "4",
              "n": "4",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B",
            "C"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 5,
        "reference_sha256": "123315c38b10f9d50c20b200be8d63c9a75297837536d93fb3bc0e1fa4299c57",
        "actual_sha256": "123315c38b10f9d50c20b200be8d63c9a75297837536d93fb3bc0e1fa4299c57",
        "suite": "golden"
      },
      {
        "id": "g-simp-neg",
        "reference": {
          "mode": "simplify",
          "value": "-2:3",
          "ratio": "-2:3"
        },
        "actual": {
          "mode": "simplify",
          "mode_label": "Simplify",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
          "heading": "Simplified ratio",
          "value": "-2:3",
          "ratio": "-2:3",
          "terms": [
            -2,
            3
          ],
          "terms_exact": [
            "-2",
            "3"
          ],
          "gcf": 6,
          "clearing_factor": 1,
          "inputs_summary": "-12:18",
          "explainer": "-12:18 → -2:3.",
          "steps": [
            "Given: -12:18",
            "Divide both terms by GCF 6.",
            "Simplified: -2:3"
          ],
          "viz_terms": [
            {
              "value": "-2",
              "n": "-2",
              "d": "1"
            },
            {
              "value": "3",
              "n": "3",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 4,
        "reference_sha256": "1b5418bf333465d605aea1b6dae00c7211a57ff3697131635ab71665d5eb2566",
        "actual_sha256": "1b5418bf333465d605aea1b6dae00c7211a57ff3697131635ab71665d5eb2566",
        "suite": "golden"
      },
      {
        "id": "g-simp-zero",
        "reference": {
          "mode": "simplify",
          "value": "0:1",
          "ratio": "0:1"
        },
        "actual": {
          "mode": "simplify",
          "mode_label": "Simplify",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
          "heading": "Simplified ratio",
          "value": "0:1",
          "ratio": "0:1",
          "terms": [
            0,
            1
          ],
          "terms_exact": [
            "0",
            "1"
          ],
          "gcf": 5,
          "clearing_factor": 1,
          "inputs_summary": "0:5",
          "explainer": "0:5 → 0:1.",
          "steps": [
            "Given: 0:5",
            "Divide both terms by GCF 5.",
            "Simplified: 0:1"
          ],
          "viz_terms": [
            {
              "value": "0",
              "n": "0",
              "d": "1"
            },
            {
              "value": "1",
              "n": "1",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 3,
        "reference_sha256": "ef134f2a180ba05de91ab32d2976f51de13b68d823ea784171b1b0dafee67be4",
        "actual_sha256": "ef134f2a180ba05de91ab32d2976f51de13b68d823ea784171b1b0dafee67be4",
        "suite": "golden"
      },
      {
        "id": "g-prop",
        "reference": {
          "mode": "proportion",
          "value": "12",
          "solved": "12",
          "solved_for": "C"
        },
        "actual": {
          "mode": "proportion",
          "mode_label": "Proportion",
          "calculation_version": "1.0.2",
          "formula": "A/B = C/D",
          "heading": "C =",
          "value": "12",
          "solved": 12,
          "solved_for": "C",
          "A": "4",
          "B": "7",
          "C": "12",
          "D": "21",
          "inputs_summary": "4:7 = 12:21",
          "explainer": "C = A·D / B. Full proportion 4:7 = 12:21.",
          "steps": [
            "C = A·D / B = 4·21 / 7 = 12",
            "Check: 4:7 = 12:21",
            "A/B = 4/7,  C/D = 4/7"
          ],
          "viz_terms": [
            {
              "value": "4",
              "n": "4",
              "d": "1"
            },
            {
              "value": "7",
              "n": "7",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 2,
        "reference_sha256": "6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918",
        "actual_sha256": "6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918",
        "suite": "golden"
      },
      {
        "id": "g-scale",
        "reference": {
          "mode": "scale",
          "value": "8:20",
          "ratio": "8:20",
          "scaleOp": "multiply"
        },
        "actual": {
          "mode": "scale",
          "mode_label": "Scale",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → k·r₁:⋯:k·rₙ",
          "heading": "Scaled ratio",
          "value": "8:20",
          "ratio": "8:20",
          "terms": [
            8,
            20
          ],
          "k": "4",
          "scaleOp": "multiply",
          "inputs_summary": "2:5 · k=4",
          "explainer": "2:5 × 4 = 8:20.",
          "steps": [
            "Given: 2:5",
            "Multiply by k = 4",
            "Result: 8:20"
          ],
          "viz_terms": [
            {
              "value": "8",
              "n": "8",
              "d": "1"
            },
            {
              "value": "20",
              "n": "20",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 4,
        "reference_sha256": "9e9e0b9b82db5a0db832f0eb4a790c97ccd41c6d1260fdddef6c5ad09c61dd13",
        "actual_sha256": "9e9e0b9b82db5a0db832f0eb4a790c97ccd41c6d1260fdddef6c5ad09c61dd13",
        "suite": "golden"
      },
      {
        "id": "g-scale-3",
        "reference": {
          "mode": "scale",
          "value": "4:8:12",
          "ratio": "4:8:12",
          "scaleOp": "multiply"
        },
        "actual": {
          "mode": "scale",
          "mode_label": "Scale",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → k·r₁:⋯:k·rₙ",
          "heading": "Scaled ratio",
          "value": "4:8:12",
          "ratio": "4:8:12",
          "terms": [
            4,
            8,
            12
          ],
          "k": "4",
          "scaleOp": "multiply",
          "inputs_summary": "1:2:3 · k=4",
          "explainer": "1:2:3 × 4 = 4:8:12.",
          "steps": [
            "Given: 1:2:3",
            "Multiply by k = 4",
            "Result: 4:8:12"
          ],
          "viz_terms": [
            {
              "value": "4",
              "n": "4",
              "d": "1"
            },
            {
              "value": "8",
              "n": "8",
              "d": "1"
            },
            {
              "value": "12",
              "n": "12",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B",
            "C"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 6,
        "reference_sha256": "f7ad50ca445e376434e677199ff3dc330680197f512db16131724620c05b6095",
        "actual_sha256": "f7ad50ca445e376434e677199ff3dc330680197f512db16131724620c05b6095",
        "suite": "golden"
      },
      {
        "id": "g-split",
        "reference": {
          "mode": "split",
          "value": "15 : 10",
          "shares": [
            "15",
            "10"
          ]
        },
        "actual": {
          "mode": "split",
          "mode_label": "Split",
          "calculation_version": "1.0.2",
          "formula": "partᵢ = total × (termᵢ / Σ terms)",
          "heading": "Shares",
          "value": "15 : 10",
          "shares": [
            15,
            10
          ],
          "inputs_summary": "3:2 · total=25",
          "explainer": "Split 25 by 3:2.",
          "steps": [
            "Ratio: 3:2",
            "Sum of parts Σ = 5",
            "Total = 25",
            "A share = 25 × 3 / 5 = 15",
            "B share = 25 × 2 / 5 = 10"
          ],
          "viz_terms": [
            {
              "value": "3",
              "n": "3",
              "d": "1"
            },
            {
              "value": "2",
              "n": "2",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 7,
        "reference_sha256": "0a1c5fd44e55adb4be21679852a78ec6f58f80acb20bff36a0835f27a7955c88",
        "actual_sha256": "0a1c5fd44e55adb4be21679852a78ec6f58f80acb20bff36a0835f27a7955c88",
        "suite": "golden"
      },
      {
        "id": "g-split-3",
        "reference": {
          "mode": "split",
          "value": "5 : 10 : 15",
          "shares": [
            "5",
            "10",
            "15"
          ]
        },
        "actual": {
          "mode": "split",
          "mode_label": "Split",
          "calculation_version": "1.0.2",
          "formula": "partᵢ = total × (termᵢ / Σ terms)",
          "heading": "Shares",
          "value": "5 : 10 : 15",
          "shares": [
            5,
            10,
            15
          ],
          "inputs_summary": "1:2:3 · total=30",
          "explainer": "Split 30 by 1:2:3.",
          "steps": [
            "Ratio: 1:2:3",
            "Sum of parts Σ = 6",
            "Total = 30",
            "A share = 30 × 1 / 6 = 5",
            "B share = 30 × 2 / 6 = 10",
            "C share = 30 × 3 / 6 = 15"
          ],
          "viz_terms": [
            {
              "value": "1",
              "n": "1",
              "d": "1"
            },
            {
              "value": "2",
              "n": "2",
              "d": "1"
            },
            {
              "value": "3",
              "n": "3",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B",
            "C"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 11,
        "reference_sha256": "9a5dc05246111a0d52d0cc5dda8468eba2d4a4376e3d709e9e7d0c7e69ba9638",
        "actual_sha256": "9a5dc05246111a0d52d0cc5dda8468eba2d4a4376e3d709e9e7d0c7e69ba9638",
        "suite": "golden"
      },
      {
        "id": "g-compare",
        "reference": {
          "mode": "compare",
          "value": "Equivalent",
          "equivalent": true
        },
        "actual": {
          "mode": "compare",
          "mode_label": "Compare",
          "calculation_version": "1.0.2",
          "formula": "A/B ? C/D",
          "heading": "Comparison",
          "value": "Equivalent",
          "equivalent": true,
          "inputs_summary": "4:6 vs 10:15",
          "explainer": "Both ratios simplify to the same relationship.",
          "steps": [
            "4:6 → 4/6 = 2/3",
            "10:15 → 10/15 = 2/3",
            "Cross products: A·D = 60,  B·C = 60",
            "Ratios are equivalent."
          ],
          "viz_terms": [
            {
              "value": "2",
              "n": "2",
              "d": "1"
            },
            {
              "value": "3",
              "n": "3",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 10,
        "reference_sha256": "35a60efd66fe0859d8fa13e1186ed389bb8e9382dfb53e8fc3154e394cfb3291",
        "actual_sha256": "35a60efd66fe0859d8fa13e1186ed389bb8e9382dfb53e8fc3154e394cfb3291",
        "suite": "golden"
      },
      {
        "id": "g-convert",
        "reference": {
          "mode": "convert",
          "value": "2/3 = 2/3",
          "part_to_part": "2/3"
        },
        "actual": {
          "mode": "convert",
          "mode_label": "Convert",
          "calculation_version": "1.0.2",
          "formula": "A:B → fraction / %",
          "heading": "Conversion",
          "value": "2/3 = 2/3",
          "part_to_part": "2/3",
          "part_of_whole_A": "40",
          "part_of_whole_B": "60",
          "simplified": "2:3",
          "inputs_summary": "2:3",
          "explainer": "Of the whole: A 40%, B 60%. 2:3 is part-to-part — not A as a percent of B.",
          "steps": [
            "Ratio: 2:3",
            "Part-to-part as fraction A/B = 2/3",
            "Percent A of B = ≈66.67%  (this is not a part-of-whole percent)",
            "Whole = A+B = 5",
            "A is 2/5 of the whole (40%)",
            "B is 3/5 of the whole (60%)",
            "Simplified: 2:3"
          ],
          "viz_terms": [
            {
              "value": "2",
              "n": "2",
              "d": "1"
            },
            {
              "value": "3",
              "n": "3",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 9,
        "reference_sha256": "2f86a410e16bce57b5535a324e9981808312eea066627ab4ea1720004ab5a403",
        "actual_sha256": "2f86a410e16bce57b5535a324e9981808312eea066627ab4ea1720004ab5a403",
        "suite": "golden"
      },
      {
        "id": "rt-simp-scale",
        "reference": {
          "mode": "simplify",
          "value": "2:3",
          "ratio": "2:3"
        },
        "actual": {
          "mode": "simplify",
          "mode_label": "Simplify",
          "calculation_version": "1.0.2",
          "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
          "heading": "Simplified ratio",
          "value": "2:3",
          "ratio": "2:3",
          "terms": [
            2,
            3
          ],
          "terms_exact": [
            "2",
            "3"
          ],
          "gcf": 6,
          "clearing_factor": 1,
          "inputs_summary": "12:18",
          "explainer": "12:18 → 2:3.",
          "steps": [
            "Given: 12:18",
            "Divide both terms by GCF 6.",
            "Simplified: 2:3"
          ],
          "viz_terms": [
            {
              "value": "2",
              "n": "2",
              "d": "1"
            },
            {
              "value": "3",
              "n": "3",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 3,
        "reference_sha256": "8e0375adfc1f456327247b91b11520cf9c2616e04503a43a71873485a07a6542",
        "actual_sha256": "8e0375adfc1f456327247b91b11520cf9c2616e04503a43a71873485a07a6542",
        "suite": "round-trip",
        "hops": {
          "forward": {
            "reference": {
              "mode": "simplify",
              "value": "2:3",
              "ratio": "2:3"
            },
            "actual": {
              "mode": "simplify",
              "mode_label": "Simplify",
              "calculation_version": "1.0.2",
              "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
              "heading": "Simplified ratio",
              "value": "2:3",
              "ratio": "2:3",
              "terms": [
                2,
                3
              ],
              "terms_exact": [
                "2",
                "3"
              ],
              "gcf": 6,
              "clearing_factor": 1,
              "inputs_summary": "12:18",
              "explainer": "12:18 → 2:3.",
              "steps": [
                "Given: 12:18",
                "Divide both terms by GCF 6.",
                "Simplified: 2:3"
              ],
              "viz_terms": [
                {
                  "value": "2",
                  "n": "2",
                  "d": "1"
                },
                {
                  "value": "3",
                  "n": "3",
                  "d": "1"
                }
              ],
              "viz_labels": [
                "A",
                "B"
              ]
            },
            "error_ulp": null
          },
          "reverse": {
            "reference": {
              "mode": "scale",
              "value": "12:18",
              "ratio": "12:18",
              "scaleOp": "multiply"
            },
            "actual": {
              "mode": "scale",
              "mode_label": "Scale",
              "calculation_version": "1.0.2",
              "formula": "r₁:⋯:rₙ → k·r₁:⋯:k·rₙ",
              "heading": "Scaled ratio",
              "value": "12:18",
              "ratio": "12:18",
              "terms": [
                12,
                18
              ],
              "k": "6",
              "scaleOp": "multiply",
              "inputs_summary": "2:3 · k=6",
              "explainer": "2:3 × 6 = 12:18.",
              "steps": [
                "Given: 2:3",
                "Multiply by k = 6",
                "Result: 12:18"
              ],
              "viz_terms": [
                {
                  "value": "12",
                  "n": "12",
                  "d": "1"
                },
                {
                  "value": "18",
                  "n": "18",
                  "d": "1"
                }
              ],
              "viz_labels": [
                "A",
                "B"
              ]
            },
            "error_ulp": null
          }
        }
      },
      {
        "id": "rt-prop-compare",
        "reference": {
          "mode": "proportion",
          "value": "12",
          "solved": "12",
          "solved_for": "C"
        },
        "actual": {
          "mode": "proportion",
          "mode_label": "Proportion",
          "calculation_version": "1.0.2",
          "formula": "A/B = C/D",
          "heading": "C =",
          "value": "12",
          "solved": 12,
          "solved_for": "C",
          "A": "4",
          "B": "7",
          "C": "12",
          "D": "21",
          "inputs_summary": "4:7 = 12:21",
          "explainer": "C = A·D / B. Full proportion 4:7 = 12:21.",
          "steps": [
            "C = A·D / B = 4·21 / 7 = 12",
            "Check: 4:7 = 12:21",
            "A/B = 4/7,  C/D = 4/7"
          ],
          "viz_terms": [
            {
              "value": "4",
              "n": "4",
              "d": "1"
            },
            {
              "value": "7",
              "n": "7",
              "d": "1"
            }
          ],
          "viz_labels": [
            "A",
            "B"
          ]
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 2,
        "reference_sha256": "6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918",
        "actual_sha256": "6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918",
        "suite": "round-trip",
        "hops": {
          "forward": {
            "reference": {
              "mode": "proportion",
              "value": "12",
              "solved": "12",
              "solved_for": "C"
            },
            "actual": {
              "mode": "proportion",
              "mode_label": "Proportion",
              "calculation_version": "1.0.2",
              "formula": "A/B = C/D",
              "heading": "C =",
              "value": "12",
              "solved": 12,
              "solved_for": "C",
              "A": "4",
              "B": "7",
              "C": "12",
              "D": "21",
              "inputs_summary": "4:7 = 12:21",
              "explainer": "C = A·D / B. Full proportion 4:7 = 12:21.",
              "steps": [
                "C = A·D / B = 4·21 / 7 = 12",
                "Check: 4:7 = 12:21",
                "A/B = 4/7,  C/D = 4/7"
              ],
              "viz_terms": [
                {
                  "value": "4",
                  "n": "4",
                  "d": "1"
                },
                {
                  "value": "7",
                  "n": "7",
                  "d": "1"
                }
              ],
              "viz_labels": [
                "A",
                "B"
              ]
            },
            "error_ulp": null
          },
          "reverse": {
            "reference": {
              "mode": "compare",
              "value": "Equivalent",
              "equivalent": true
            },
            "actual": {
              "mode": "compare",
              "mode_label": "Compare",
              "calculation_version": "1.0.2",
              "formula": "A/B ? C/D",
              "heading": "Comparison",
              "value": "Equivalent",
              "equivalent": true,
              "inputs_summary": "12:21 vs 4:7",
              "explainer": "Both ratios simplify to the same relationship.",
              "steps": [
                "12:21 → 12/21 = 4/7",
                "4:7 → 4/7 = 4/7",
                "Cross products: A·D = 84,  B·C = 84",
                "Ratios are equivalent."
              ],
              "viz_terms": [
                {
                  "value": "4",
                  "n": "4",
                  "d": "1"
                },
                {
                  "value": "7",
                  "n": "7",
                  "d": "1"
                }
              ],
              "viz_labels": [
                "A",
                "B"
              ]
            },
            "error_ulp": null
          }
        }
      },
      {
        "id": "meta-simp-scale",
        "reference": {
          "value": "2:3"
        },
        "actual": {
          "value": "2:3"
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 3,
        "reference_sha256": "8e0375adfc1f456327247b91b11520cf9c2616e04503a43a71873485a07a6542",
        "actual_sha256": "8e0375adfc1f456327247b91b11520cf9c2616e04503a43a71873485a07a6542",
        "suite": "metamorphic",
        "hops": {
          "base": {
            "reference": {
              "mode": "simplify",
              "value": "2:3",
              "ratio": "2:3"
            },
            "actual": {
              "mode": "simplify",
              "mode_label": "Simplify",
              "calculation_version": "1.0.2",
              "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
              "heading": "Simplified ratio",
              "value": "2:3",
              "ratio": "2:3",
              "terms": [
                2,
                3
              ],
              "terms_exact": [
                "2",
                "3"
              ],
              "gcf": 6,
              "clearing_factor": 1,
              "inputs_summary": "12:18",
              "explainer": "12:18 → 2:3.",
              "steps": [
                "Given: 12:18",
                "Divide both terms by GCF 6.",
                "Simplified: 2:3"
              ],
              "viz_terms": [
                {
                  "value": "2",
                  "n": "2",
                  "d": "1"
                },
                {
                  "value": "3",
                  "n": "3",
                  "d": "1"
                }
              ],
              "viz_labels": [
                "A",
                "B"
              ]
            },
            "error_ulp": null
          },
          "follow": {
            "reference": {
              "mode": "simplify",
              "value": "2:3",
              "ratio": "2:3"
            },
            "actual": {
              "mode": "simplify",
              "mode_label": "Simplify",
              "calculation_version": "1.0.2",
              "formula": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)",
              "heading": "Simplified ratio",
              "value": "2:3",
              "ratio": "2:3",
              "terms": [
                2,
                3
              ],
              "terms_exact": [
                "2",
                "3"
              ],
              "gcf": 12,
              "clearing_factor": 1,
              "inputs_summary": "24:36",
              "explainer": "24:36 → 2:3.",
              "steps": [
                "Given: 24:36",
                "Divide both terms by GCF 12.",
                "Simplified: 2:3"
              ],
              "viz_terms": [
                {
                  "value": "2",
                  "n": "2",
                  "d": "1"
                },
                {
                  "value": "3",
                  "n": "3",
                  "d": "1"
                }
              ],
              "viz_labels": [
                "A",
                "B"
              ]
            },
            "error_ulp": null
          },
          "relation": {
            "reference": {
              "value": "2:3"
            },
            "actual": {
              "value": "2:3"
            },
            "error_ulp": null
          }
        }
      },
      {
        "id": "meta-split-double-total",
        "reference": {
          "value": "30 : 20"
        },
        "actual": {
          "value": "30 : 20"
        },
        "criterion": "actual exact ratio string === independent oracle exact ratio string",
        "match": true,
        "digits": 7,
        "reference_sha256": "f1cccbbdb9112ec563620c505f59d126c5bacd79f08b0c82a01ee5c2ceeb47c6",
        "actual_sha256": "f1cccbbdb9112ec563620c505f59d126c5bacd79f08b0c82a01ee5c2ceeb47c6",
        "suite": "metamorphic",
        "hops": {
          "base": {
            "reference": {
              "mode": "split",
              "value": "15 : 10",
              "shares": [
                "15",
                "10"
              ]
            },
            "actual": {
              "mode": "split",
              "mode_label": "Split",
              "calculation_version": "1.0.2",
              "formula": "partᵢ = total × (termᵢ / Σ terms)",
              "heading": "Shares",
              "value": "15 : 10",
              "shares": [
                15,
                10
              ],
              "inputs_summary": "3:2 · total=25",
              "explainer": "Split 25 by 3:2.",
              "steps": [
                "Ratio: 3:2",
                "Sum of parts Σ = 5",
                "Total = 25",
                "A share = 25 × 3 / 5 = 15",
                "B share = 25 × 2 / 5 = 10"
              ],
              "viz_terms": [
                {
                  "value": "3",
                  "n": "3",
                  "d": "1"
                },
                {
                  "value": "2",
                  "n": "2",
                  "d": "1"
                }
              ],
              "viz_labels": [
                "A",
                "B"
              ]
            },
            "error_ulp": null
          },
          "follow": {
            "reference": {
              "mode": "split",
              "value": "30 : 20",
              "shares": [
                "30",
                "20"
              ]
            },
            "actual": {
              "mode": "split",
              "mode_label": "Split",
              "calculation_version": "1.0.2",
              "formula": "partᵢ = total × (termᵢ / Σ terms)",
              "heading": "Shares",
              "value": "30 : 20",
              "shares": [
                30,
                20
              ],
              "inputs_summary": "3:2 · total=50",
              "explainer": "Split 50 by 3:2.",
              "steps": [
                "Ratio: 3:2",
                "Sum of parts Σ = 5",
                "Total = 50",
                "A share = 50 × 3 / 5 = 30",
                "B share = 50 × 2 / 5 = 20"
              ],
              "viz_terms": [
                {
                  "value": "3",
                  "n": "3",
                  "d": "1"
                },
                {
                  "value": "2",
                  "n": "2",
                  "d": "1"
                }
              ],
              "viz_labels": [
                "A",
                "B"
              ]
            },
            "error_ulp": null
          },
          "relation": {
            "reference": {
              "value": "30 : 20"
            },
            "actual": {
              "value": "30 : 20"
            },
            "error_ulp": null
          }
        }
      }
    ]
  },
  "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": "58def55ddf28b989b6f7fd38121b35345d86efa5740428917b132f2a4f84dfae",
    "evidence_digest": "e32c91d652f9b98b961e1485c3553cd7b32cb4008d5d8467206d10d072b05d02",
    "production_sha256": "31e075dd2788e7c13520557df716a4e118f4844aca3908f8b06acf4a41fad0cc",
    "attested_catalog_sha256": "f89399c8dda78af9b2d784bf34d77b786cf749392d54e5e00bd3707c3fcdd13e",
    "production_checks": [
      {
        "id": "math.ratio: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": "2026-09-16T06:43:11.172Z"
      },
      {
        "id": "math.ratio:evidence-sha256",
        "status": "pass",
        "detail": "5cdce80e7411",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z"
      },
      {
        "id": "math.ratio:semantic-contract",
        "status": "pass",
        "detail": "26/26",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z"
      },
      {
        "id": "math.ratio: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": "2026-09-16T06:43:11.172Z"
      },
      {
        "id": "math.ratio:cvp-manifest-public-origin-agree",
        "status": "pass",
        "detail": "math.ratio/1.0.2/2026-09-16.sources-no-wolfram/core/e32c91d652f9",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z",
        "projection_compared": false
      },
      {
        "id": "math.ratio:cvp-latest-alias-agrees",
        "status": "pass",
        "detail": "math.ratio/1.0.2/2026-09-16.sources-no-wolfram/core/e32c91d652f9",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z",
        "projection_compared": false
      },
      {
        "id": "math.ratio:cvp-immutable-manifest-fetch",
        "status": "pass",
        "detail": "public=200 origin=200",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z"
      },
      {
        "id": "math.ratio:cvp-immutable-manifest-sha256",
        "status": "pass",
        "detail": "e32c91d652f9",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z"
      },
      {
        "id": "math.ratio:cvp-latest-alias-matches-immutable",
        "status": "pass",
        "detail": "math.ratio/1.0.2/2026-09-16.sources-no-wolfram/core/e32c91d652f9",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z",
        "projection_compared": false
      },
      {
        "id": "math.ratio:calculator-html-cvp-projection",
        "status": "pass",
        "detail": "matches Trust display",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z"
      },
      {
        "id": "math.ratio:evidence-html-cvp-projection",
        "status": "pass",
        "detail": "matches Trust display",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-16T06:43:11.172Z"
      }
    ],
    "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": "e32c91d652f9b98b961e1485c3553cd7b32cb4008d5d8467206d10d072b05d02",
          "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": "e32c91d652f9b98b961e1485c3553cd7b32cb4008d5d8467206d10d072b05d02",
          "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": "5cdce80e74111b610debfb27e725527ee782e80d9b2557e4d2590aa9b63ec90b",
          "note": "Published Evidence JSON core — Trust freshness / production bind subject"
        },
        {
          "name": "evidence_catalog_digest",
          "field": "artifacts.attested_catalog_sha256",
          "digest_scope": "capability_catalog",
          "value": "f89399c8dda78af9b2d784bf34d77b786cf749392d54e5e00bd3707c3fcdd13e",
          "note": "Capability catalog integrity; site-wide, not per-suite fingerprint"
        }
      ]
    },
    "cvp_core_sha256": "e32c91d652f9b98b961e1485c3553cd7b32cb4008d5d8467206d10d072b05d02"
  },
  "dependencies": [
    {
      "name": "ratio-engine",
      "version": "1.0.2"
    },
    {
      "name": "ratio-reference-oracle",
      "version": "1.0.0"
    },
    {
      "name": "node",
      "version": "20.19.2"
    }
  ],
  "attestation": {
    "status": "CURRENT",
    "href": "/.well-known/calculatorx-production-attestation.json",
    "id": "9864b02dd59e627629179439ae27934aea8c6fd24193702e66c56019c5e3e050",
    "attested_at": "2026-09-16T06:43:11.172Z",
    "last_confirmed_current_at": "2026-09-16T06:43:50.908Z",
    "site_attestation_current": false,
    "capability_attestation_current": true,
    "bound_snapshot_status": "pass",
    "live_report_status": "stale",
    "bound_attested_at": "2026-09-16T06:43:50.908Z",
    "live_updated_at": "2026-09-16T06:44:02.960Z",
    "bound_snapshot": {
      "status": "pass",
      "attested_at": "2026-09-16T06:43:50.908Z",
      "site_stale_count": 7
    },
    "live_site_status": {
      "href": "/.well-known/calculatorx-production-attestation.json"
    },
    "bound_snapshot_site_stale_count": 7,
    "site_stale_capability_count": 7,
    "evidence_attested_at": "2026-09-16T06:43:11.172Z"
  },
  "domain_review": {
    "status": "ABSENT",
    "spec_version": "1.0.2",
    "external_third_party": false,
    "note": "Named expert review not performed"
  },
  "timestamps": {
    "verified_at": "2026-09-16T06:43:11.172Z",
    "generated_at": "2026-09-16T06:43:11.172Z",
    "rendered_at": "2026-09-16T06:44:03.000Z",
    "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.ratio/1.0.2.json",
    "evidence_page": "https://www.calculatorx.com/evidence/math.ratio/1.0.2",
    "calculator": "https://www.calculatorx.com/calc/math/ratio",
    "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.ratio/1.0.2.cvp.json",
    "manifest_immutable": "https://www.calculatorx.com/evidence/math.ratio/1.0.2/2026-09-16.sources-no-wolfram.cvp.json",
    "manifest_core": "https://www.calculatorx.com/evidence/math.ratio/1.0.2/2026-09-16.sources-no-wolfram.e32c91d652f9.cvp.json"
  }
}