{ "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": "coverage-factor", "version": "1.0.0", "title": "Coverage Factor Calculator", "formula_family": "coverage-factor", "capability_id": "engineering.uncertainty.coverage_factor", "verification_revision": "2026-09-16.o2-o3" }, "profile": "engineering", "verified_scope": "Two-sided k = t_{(1+p)/2}(ν), including ν→∞ → Φ⁻¹((1+p)/2), + O3 mpmath tabulated k.", "deferred_scope": "Not expanded U = k·u_c, not one-sided k, and not Welch–Satterthwaite ν_eff.", "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": "IEEE-754 binary64", "os": "darwin" }, "suite": { "id": "coverage-factor", "version": "1.0.0", "uri": "https://www.calculatorx.com/evidence/engineering.uncertainty.coverage_factor/1.0.0.json", "verification_revision": "2026-09-16.o2-o3" }, "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-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "JCGM 100:2008 (GUM) — Evaluation of measurement data", "kind": "standard", "reference": "G.3 / G.4 Coverage factor and effective degrees of freedom", "url": "https://www.bipm.org/en/committees/jc/jcgm/publications" }, { "label": "JCGM 100:2008 (GUM) — Evaluation of measurement data", "kind": "standard", "reference": "Table G.1 Values of k_p", "url": "https://www.bipm.org/utils/common/pdf/jcgm/JCGM_100_2008_E.pdf" } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "GUM G.3 / G.4 two-sided coverage factor" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath high-precision two-sided k (80 dps) rounded to nearest binary64 — not V8 t-quantile", "engine": { "name": "coverage-factor-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "same_runtime_as_iut": false, "library": "mpmath 1.4.1", "mpmath_dps": 80, "generator_version": "1.0.0", "generator_sha256": "8151e922033511c290103334c5f27d5e463262d080e7c36604bd1deb8ea21ce3", "table_sha256": "9213aef2eb7e0658f5fa58a359ec01d581848a34001b0b63117a2d53ddcaa058", "seed": "20260916.coverage-factor-o3", "source": "https://www.calculatorx.com/developers/cvp/reproduce/coverage-factor-o3-tables.json", "public_table": "/developers/cvp/reproduce/coverage-factor-o3-tables.json", "public_generator": "/developers/cvp/reproduce/generate-coverage-factor-o3.py" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O3 table vs IUT k; |Δk|≤2e-6 on tabulated vectors only", "engine": { "name": "coverage-factor-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "same_runtime_as_iut": false, "library": "mpmath 1.4.1", "mpmath_dps": 80, "generator_version": "1.0.0", "generator_sha256": "8151e922033511c290103334c5f27d5e463262d080e7c36604bd1deb8ea21ce3", "table_sha256": "9213aef2eb7e0658f5fa58a359ec01d581848a34001b0b63117a2d53ddcaa058", "seed": "20260916.coverage-factor-o3", "source": "https://www.calculatorx.com/developers/cvp/reproduce/coverage-factor-o3-tables.json", "public_table": "/developers/cvp/reproduce/coverage-factor-o3-tables.json", "public_generator": "/developers/cvp/reproduce/generate-coverage-factor-o3.py" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module two-sided coverage-factor oracle — same V8 binary64 as IUT", "engine": { "name": "coverage-factor-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs |Δk|≤2e-6 comparison vs IUT", "engine": { "name": "coverage-factor-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": "Two-sided k = t_{(1+p)/2}(ν); O3 tabulated k" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Lookup of k only. Not U=k·u_c, not one-sided. O3 tabulated vectors only." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "k is dimensionless. ν is dimensionless." }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O2 expected_values + O2 numerical_behavior + O3 tabulated k" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "1/1 legacy golden; 5/5 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "5/5 CVP boundary · 5/5 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "3 Evidence illegal-input + 4/4 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "max_error_observed_ulp=5319935314; policy declared a priori" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "6/6 partitions (student-t, infinite, default-p, other-p, alias, invalid-domain)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "4/4 CVP contract" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine coverage-factor; 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 @ 2026-09-16T23:18:54.751Z · live site-wide report stale @ 2026-09-16T23:18:57.731Z (4 other capabilities) · local checks pass · attestation_id=bf3fe5ab59e4bbc9e50f340c6c537d3cf046a9b32473980b03131666eea4e751 · This calculator CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-09-16T23:18:54.751Z · Live production status STALE (4 capabilities; 160 remain CURRENT) @ 2026-09-16T23:18:57.731Z · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.0 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-latest-alias-agrees=pass · cvp-immutable-manifest-fetch=pass · cvp-immutable-manifest-sha256=pass · cvp-latest-alias-matches-immutable=pass · cvp-reproduce-manifest-agree=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=58fe84b53a8948a8ed33bf1d0f10c2dc305d423b0415cb204b41bee40e09d0f5 · verified_at=2026-09-16T05:29:12.732Z · evidence_attested_at=2026-09-16T05:29:12.732Z · last_confirmed_current_at=2026-09-16T23:18:54.751Z · rendered_at=2026-09-16T23:18:57.773Z · binds=cvp_core_sha256", "check_result": "PASS", "production_state": "CURRENT", "binding_current": true }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "Two-sided coverage factor" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 property · enumerated fixed assertions (not generated; no seed)" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "2/2 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. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 8/8 tabulated vectors vs IUT · O2: two-sided k = t_{(1+p)/2}(ν) vs separate-module inverse (|Δk|≤2e-6). Infinite ν uses Φ⁻¹. Not U=k·u_c, not one-sided k. ≤2e-6 vs O3 applies only to the published tabulated k vectors (ν=8/1/2/30, inf, default p, p=0.99, nu_eff alias). It is not a whole-domain guarantee and does not cover U=k·u_c or one-sided k. Infinite-ν comparison is limited by the IUT Hastings erf polyfill when Math.erfc is absent." }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "named expert review not performed" } }, "tests": { "golden": { "passed": 5, "total": 5, "failed": 0, "case_ids": [ "g-t8", "g-inf", "g-default", "g-alias", "g-p99" ] }, "boundary": { "passed": 5, "total": 5, "failed": 0, "case_ids": [ "boundary-k-inf", "boundary-k-default-p", "boundary-k-missing", "boundary-k-p", "boundary-k-nu" ] }, "invalid": { "passed": 7, "total": 7, "failed": 0, "case_ids": [ "boundary-k-missing", "boundary-k-p", "boundary-k-nu", "inv-missing", "inv-nu", "inv-p", "inv-p0" ], "comparison": "exact_error_match", "records": [ { "id": "inv-missing", "comparison": "exact_error_match", "expected": { "code": "MISSING_REQUIRED_INPUT" }, "actual": { "code": "MISSING_REQUIRED_INPUT" }, "match": true }, { "id": "inv-nu", "comparison": "exact_error_match", "expected": { "code": "VALUE_MUST_BE_POSITIVE" }, "actual": { "code": "VALUE_MUST_BE_POSITIVE" }, "match": true }, { "id": "inv-p", "comparison": "exact_error_match", "expected": { "code": "VALUE_OUT_OF_RANGE" }, "actual": { "code": "VALUE_OUT_OF_RANGE" }, "match": true }, { "id": "inv-p0", "comparison": "exact_error_match", "expected": { "code": "VALUE_OUT_OF_RANGE" }, "actual": { "code": "VALUE_OUT_OF_RANGE" }, "match": true } ] }, "property": { "passed": 3, "total": 3, "failed": 0, "case_ids": [ "prop-t8", "prop-inf", "prop-default" ], "kind": "fixed", "claim_scope": "Enumerated identities: ν=8 p=0.95 → k≈2.306; ν=∞ p=0.95 → k≈1.960. Not generated property tests.", "definition_ids": [ "t-0975-nu-8", "normal-0975", "default-confidence-095" ] }, "round_trip": { "passed": 0, "total": 0, "failed": 0, "case_ids": [] }, "metamorphic": { "passed": 2, "total": 2, "failed": 0, "case_ids": [ "meta-default", "meta-alias" ], "definition_ids": [ "default-p-same-as-095", "dof-alias-same-k" ] }, "contract": { "passed": 4, "total": 4, "failed": 0 }, "cross_interface": { "passed": 4, "total": 4, "failed": 0, "case_ids": [ "iface-t8", "iface-inf", "iface-default", "iface-invalid-nu" ] }, "o3": { "passed": 8, "total": 8, "failed": 0, "case_ids": [ "o3-t8", "o3-inf", "o3-default", "o3-nu1", "o3-nu30", "o3-p99", "o3-alias", "o3-nu2" ], "generator_id": "coverage-factor-mpmath-o3", "seed": "20260916.coverage-factor-o3", "table_sha256": "9213aef2eb7e0658f5fa58a359ec01d581848a34001b0b63117a2d53ddcaa058", "max_error_ulp": 5319935312, "reproduce": "python3 generate-coverage-factor-o3.py", "table_url": "/developers/cvp/reproduce/coverage-factor-o3-tables.json", "generator_url": "/developers/cvp/reproduce/generate-coverage-factor-o3.py", "claim_scope": "O2: two-sided k = t_{(1+p)/2}(ν) vs separate-module inverse (|Δk|≤2e-6). Infinite ν uses Φ⁻¹. Not U=k·u_c, not one-sided k. ≤2e-6 vs O3 applies only to the published tabulated k vectors (ν=8/1/2/30, inf, default p, p=0.99, nu_eff alias). It is not a whole-domain guarantee and does not cover U=k·u_c or one-sided k. Infinite-ν comparison is limited by the IUT Hastings erf polyfill when Math.erfc is absent.", "reproduce_url": "https://www.calculatorx.com/evidence/engineering.uncertainty.coverage_factor/reproduce" } }, "coverage": { "partitions": [ { "id": "student-t", "description": "Finite ν, explicit p=0.95, not alias", "exercised": true, "case_count": 9 }, { "id": "infinite", "description": "ν → ∞ uses the normal quantile", "exercised": true, "case_count": 4 }, { "id": "default-p", "description": "Omitted confidence defaults to 0.95", "exercised": true, "case_count": 8 }, { "id": "other-p", "description": "Explicit confidence other than 0.95", "exercised": true, "case_count": 2 }, { "id": "alias", "description": "nu_eff / dof aliases", "exercised": true, "case_count": 2 }, { "id": "invalid-domain", "description": "Invalid inputs", "exercised": true, "case_count": 7 } ] }, "numerical": { "representation": "IEEE-754 binary64", "claim_scope": "O2: two-sided k = t_{(1+p)/2}(ν) vs separate-module inverse (|Δk|≤2e-6). Infinite ν uses Φ⁻¹. Not U=k·u_c, not one-sided k. ≤2e-6 vs O3 applies only to the published tabulated k vectors (ν=8/1/2/30, inf, default p, p=0.99, nu_eff alias). It is not a whole-domain guarantee and does not cover U=k·u_c or one-sided k. Infinite-ν comparison is limited by the IUT Hastings erf polyfill when Math.erfc is absent.", "tolerance": { "type": "absolute", "value": 0.000002, "rationale": "Independent Student-t / normal inverse vs IUT. Finite ν is typically ≪1e-12. Infinite-ν Φ⁻¹ is limited by the IUT Hastings erf polyfill (~1e-6) on runtimes without Math.erfc. Declared a priori.", "declared_before_evaluation": true }, "max_error_observed": 5319935314, "records": [ { "id": "g-t8", "reference": { "k": 2.306004135204029, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 176, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 176, "abs_error": 7.815970093361102e-14 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "golden" }, { "id": "g-inf", "reference": { "k": 1.9599639845400547, "confidence": 0.95, "nu": null, "infinite": true, "k_source": "normal" }, "actual": { "k": 1.9599628032771197, "confidence": 0.95, "nu": null, "infinite": true, "k_source": "normal" }, "error_ulp": 5319935314, "threshold_ulp": 0.000002, "fields": { "infinite": { "ok": true, "error_ulp": 0 }, "nu": { "ok": true, "error_ulp": 0 }, "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 5319935314, "abs_error": 0.0000011812629350238524 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "golden" }, { "id": "g-default", "reference": { "k": 2.306004135204029, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 176, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 176, "abs_error": 7.815970093361102e-14 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "golden" }, { "id": "g-alias", "reference": { "k": 2.306004135204029, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 176, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 176, "abs_error": 7.815970093361102e-14 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "golden" }, { "id": "g-p99", "reference": { "k": 3.3553873313332447, "confidence": 0.99, "nu": 8, "infinite": false, "k_source": "student_t" }, "actual": { "k": 3.3553873313333478, "confidence": 0.99, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 232, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 232, "abs_error": 1.0302869668521453e-13 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "golden" }, { "id": "meta-default", "reference": 1, "actual": 1, "error_ulp": 176, "threshold_ulp": 0.000002, "suite": "metamorphic", "hops": { "base": { "reference": { "k": 2.306004135204029, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 176 }, "follow": { "reference": { "k": 2.306004135204029, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 176 }, "relation": { "reference": 1, "actual": 1, "error_ulp": 0 } } }, { "id": "meta-alias", "reference": 1, "actual": 1, "error_ulp": 176, "threshold_ulp": 0.000002, "suite": "metamorphic", "hops": { "base": { "reference": { "k": 2.306004135204029, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 176 }, "follow": { "reference": { "k": 2.306004135204029, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 176 }, "relation": { "reference": 1, "actual": 1, "error_ulp": 0 } } }, { "id": "o3-t8", "reference": { "oracle_layer": "analytic", "infinite": false, "k_source": "student_t", "nu": 8, "k": 2.3060041352041667, "confidence": 0.95 }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 486, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 486, "abs_error": 2.1582735598713043e-13 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "o3" }, { "id": "o3-inf", "reference": { "oracle_layer": "analytic", "infinite": true, "k_source": "normal", "nu": null, "k": 1.9599639845400543, "confidence": 0.95 }, "actual": { "k": 1.9599628032771197, "confidence": 0.95, "nu": null, "infinite": true, "k_source": "normal" }, "error_ulp": 5319935312, "threshold_ulp": 0.000002, "fields": { "infinite": { "ok": true, "error_ulp": 0 }, "nu": { "ok": true, "error_ulp": 0 }, "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 5319935312, "abs_error": 0.0000011812629345797632 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "o3" }, { "id": "o3-default", "reference": { "oracle_layer": "analytic", "infinite": false, "k_source": "student_t", "nu": 8, "k": 2.3060041352041667, "confidence": 0.95 }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 486, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 486, "abs_error": 2.1582735598713043e-13 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "o3" }, { "id": "o3-nu1", "reference": { "oracle_layer": "analytic", "infinite": false, "k_source": "student_t", "nu": 1, "k": 12.706204736174705, "confidence": 0.95 }, "actual": { "k": 12.706204736174683, "confidence": 0.95, "nu": 1, "infinite": false, "k_source": "student_t" }, "error_ulp": 12, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 12, "abs_error": 2.1316282072803006e-14 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "o3" }, { "id": "o3-nu30", "reference": { "oracle_layer": "analytic", "infinite": false, "k_source": "student_t", "nu": 30, "k": 2.042272456301238, "confidence": 0.95 }, "actual": { "k": 2.0422724563006796, "confidence": 0.95, "nu": 30, "infinite": false, "k_source": "student_t" }, "error_ulp": 1258, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 1258, "abs_error": 5.586642259913788e-13 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "o3" }, { "id": "o3-p99", "reference": { "oracle_layer": "analytic", "infinite": false, "k_source": "student_t", "nu": 8, "k": 3.3553873313333953, "confidence": 0.99 }, "actual": { "k": 3.3553873313333478, "confidence": 0.99, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 107, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 107, "abs_error": 4.75175454539567e-14 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "o3" }, { "id": "o3-alias", "reference": { "oracle_layer": "analytic", "infinite": false, "k_source": "student_t", "nu": 8, "k": 2.3060041352041667, "confidence": 0.95 }, "actual": { "k": 2.306004135203951, "confidence": 0.95, "nu": 8, "infinite": false, "k_source": "student_t" }, "error_ulp": 486, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 486, "abs_error": 2.1582735598713043e-13 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "o3" }, { "id": "o3-nu2", "reference": { "oracle_layer": "analytic", "infinite": false, "k_source": "student_t", "nu": 2, "k": 4.302652729749464, "confidence": 0.95 }, "actual": { "k": 4.302652729749459, "confidence": 0.95, "nu": 2, "infinite": false, "k_source": "student_t" }, "error_ulp": 5, "threshold_ulp": 0.000002, "fields": { "k_source": { "ok": true, "error_ulp": 0 }, "k": { "ok": true, "error_ulp": 5, "abs_error": 4.440892098500626e-15 }, "confidence": { "ok": true, "error_ulp": 0, "abs_error": 0 } }, "suite": "o3" } ] }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only." }, "artifacts": { "evidence_bundle_sha256": "3f4ec00a75e4a6ca1648ad2fb0734cdc07ca627f1f0e51d63b7eb48156ca380e", "evidence_digest": "22b395d8c5f7f075c1610d9c03c3d2f062a635ec154a1c7c99d9764aa2a845fb", "production_sha256": "58fe84b53a8948a8ed33bf1d0f10c2dc305d423b0415cb204b41bee40e09d0f5", "attested_catalog_sha256": "006a786d7fd29244ed7da1c582af2a6072358ff25a2e07cbc8909b3ae65fb0af", "production_checks": [ { "id": "engineering.uncertainty.coverage_factor:output-const", "status": "pass", "detail": "output const 1.0.0 vs capability 1.0.0", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" }, { "id": "engineering.uncertainty.coverage_factor:evidence-sha256", "status": "pass", "detail": "f5193cd375f6", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" }, { "id": "engineering.uncertainty.coverage_factor:semantic-contract", "status": "pass", "detail": "10/10", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" }, { "id": "engineering.uncertainty.coverage_factor:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.0 vs origin 1.0.0", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" }, { "id": "engineering.uncertainty.coverage_factor:cvp-manifest-public-origin-agree", "status": "pass", "detail": "engineering.uncertainty.coverage_factor/1.0.0/2026-09-16.o2-o3/engineering/22b395d8c5f7", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z", "projection_compared": false }, { "id": "engineering.uncertainty.coverage_factor:cvp-latest-alias-agrees", "status": "pass", "detail": "engineering.uncertainty.coverage_factor/1.0.0/2026-09-16.o2-o3/engineering/22b395d8c5f7", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z", "projection_compared": false }, { "id": "engineering.uncertainty.coverage_factor:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" }, { "id": "engineering.uncertainty.coverage_factor:cvp-immutable-manifest-sha256", "status": "pass", "detail": "22b395d8c5f7", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" }, { "id": "engineering.uncertainty.coverage_factor:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "engineering.uncertainty.coverage_factor/1.0.0/2026-09-16.o2-o3/engineering/22b395d8c5f7", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z", "projection_compared": false }, { "id": "engineering.uncertainty.coverage_factor:cvp-reproduce-manifest-agree", "status": "pass", "detail": "2026-09-16.o2-o3 · 9213aef2eb7e", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" }, { "id": "engineering.uncertainty.coverage_factor:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" }, { "id": "engineering.uncertainty.coverage_factor:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T05:29:12.732Z" } ], "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": "22b395d8c5f7f075c1610d9c03c3d2f062a635ec154a1c7c99d9764aa2a845fb", "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": "22b395d8c5f7f075c1610d9c03c3d2f062a635ec154a1c7c99d9764aa2a845fb", "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": "f5193cd375f65091331be894d0dff3814af182e07a2ce9710256c914b4dc622c", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "006a786d7fd29244ed7da1c582af2a6072358ff25a2e07cbc8909b3ae65fb0af", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "22b395d8c5f7f075c1610d9c03c3d2f062a635ec154a1c7c99d9764aa2a845fb" }, "dependencies": [ { "name": "coverage-factor-engine", "version": "1.0.0" }, { "name": "coverage-factor-reference-oracle", "version": "1.0.0" }, { "name": "coverage-factor-mpmath-o3-table", "version": "coverage-factor-mpmath-o3" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "bf3fe5ab59e4bbc9e50f340c6c537d3cf046a9b32473980b03131666eea4e751", "attested_at": "2026-09-16T05:29:12.732Z", "last_confirmed_current_at": "2026-09-16T23:18:54.751Z", "site_attestation_current": false, "capability_attestation_current": true, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-09-16T23:18:54.751Z", "live_updated_at": "2026-09-16T23:18:57.731Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-09-16T23:18:54.751Z", "site_stale_count": 4 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 4, "site_stale_capability_count": 4, "evidence_attested_at": "2026-09-16T05:29:12.732Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.0", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-09-16T05:29:12.732Z", "generated_at": "2026-09-16T05:29:12.732Z", "rendered_at": "2026-09-16T23:18:57.773Z", "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/engineering.uncertainty.coverage_factor/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.coverage_factor/1.0.0", "calculator": "https://www.calculatorx.com/calc/engineering/coverage-factor", "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/engineering.uncertainty.coverage_factor/1.0.0.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/engineering.uncertainty.coverage_factor/1.0.0/2026-09-16.o2-o3.cvp.json", "reproduce": "https://www.calculatorx.com/evidence/engineering.uncertainty.coverage_factor/reproduce", "o3_table": "https://www.calculatorx.com/developers/cvp/reproduce/coverage-factor-o3-tables.json", "o3_generator": "https://www.calculatorx.com/developers/cvp/reproduce/generate-coverage-factor-o3.py", "manifest_core": "https://www.calculatorx.com/evidence/engineering.uncertainty.coverage_factor/1.0.0/2026-09-16.o2-o3.22b395d8c5f7.cvp.json" } }