{ "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": "ln", "version": "1.0.5", "title": "Natural Log Calculator", "formula_family": "natural_logarithm", "capability_id": "math.ln", "verification_revision": "2026-10-28.meta-metrics-v2" }, "profile": "core", "status": "STALE", "verification_status": "VERIFIED", "production_freshness": "STALE", "overall_trust": "VERIFIED_STALE", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "22.20.0", "numeric_model": "IEEE-754 binary64", "os": "darwin" }, "suite": { "id": "ln", "version": "1.0.5", "uri": "https://www.calculatorx.com/evidence/math.ln/1.0.5.json", "verification_revision": "2026-10-28.meta-metrics-v2" }, "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-XCAL-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "NIST Digital Library of Mathematical Functions, Chapter 4", "kind": "other", "reference": "Logarithm, Exponential, Powers", "url": "https://dlmf.nist.gov/4" }, { "label": "NIST DLMF §4.2", "kind": "other", "reference": "Logarithm: definitions and inverse of the exponential", "url": "https://dlmf.nist.gov/4.2" }, { "label": "CalculatorX mathematical conventions", "kind": "other", "reference": "Natural logarithm base e; real argument x > 0" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "y = ln(x) = log_e(x)" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Real ln: x > 0" }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "dimensionless (unitless core)" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O3 mpmath ln table + O2 live identities" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "11/11 legacy golden; 36/36 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "12/12 CVP boundary · 12/12 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "12 invalid-domain cases" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "≤2 ULP vs O3 applies to the 16 published tabulated natural-log vectors. It is not a guarantee over the whole positive reals or unlisted neighborhoods of 0 and 1. Legacy Evidence `tol` is not this policy." }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "3/3 declared partitions (ln, invalid-domain, xcal) · 11 legacy golden / 12 CVP boundary unique cases · 12 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "6/6 CVP contract · release-artifacts-aligned=PASS · schema-output-required-declared=PASS · schema-valid-input-executes=PASS · engine-success-output-validates-schema=PASS · schema-rejects-incomplete-input=PASS · rest-success-payload-validates-schema=PASS" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine ln; 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": "Capability production binding: STALE · Site report: stale · STALE (freshness / digest drift after last PASS snapshot) · site report stale · local checks pass · local production checks PASS; capability production binding is not CURRENT — final status must stay STALE, not VERIFIED · attestation_id=f3abb5d04ebc51171f259234b69628b210f1534445c968974f68a48041bc5e07 · previous live site report said CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-10-28T05:32:35.458Z · Live production status STALE (210 capabilities; 166 remain CURRENT) @ 2026-10-28T10:42:42.828Z · 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 · cvp-latest-alias-agrees=pass · cvp-immutable-manifest-fetch=pass · cvp-immutable-manifest-sha256=pass · cvp-latest-alias-matches-immutable=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae · verified_at=2026-10-28T09:09:13.265Z · evidence_attested_at=2026-10-28T09:09:13.265Z · last_confirmed_current_at=2026-10-28T09:09:13.265Z · rendered_at=2026-10-28T10:42:43.641Z · binds=cvp_core_sha256 · attestation snapshot core 49c2f1ec03f3 ≠ live cvp_core_sha256 5d40bfcffb9c (2026-10-28.meta-metrics-v2)", "check_result": "PASS", "production_state": "STALE", "binding_current": false }, "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": "2/2 metamorphic" }, "CVP-ROUND-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 round-trips" }, "CVP-XCAL-01": { "result": "PASS", "applicability": "applicable", "notes": "12/12 cross-calculator · xcal-antilog-10 PASS vs math.antilog; xcal-antilog-2 PASS vs math.antilog; xcal-antilog-e PASS vs math.antilog; xcal-antilog-half PASS vs math.antilog; xcal-log-10 PASS vs math.log; xcal-log-2 PASS vs math.log; xcal-log-e PASS vs math.log; xcal-log-half PASS vs math.log; xcal-exponent-0 PASS vs math.exponent; xcal-exponent-1 PASS vs math.exponent; xcal-exponent-2 PASS vs math.exponent; xcal-exponent-neg1 PASS vs math.exponent; xcal-growth-na N/A (Exponential growth is listed as a related continuous-growth tool. It does not encode antilog(ln x, e)=x, log_e(x)=ln(x), or ln(e^n)=n.)" }, "CVP-IFACE-01": { "result": "PASS", "applicability": "applicable", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). Success 1/1. Error-path engine·REST·MCP 3/3 (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. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 16/16 tabulated vectors vs IUT · ≤2 ULP vs O3 applies to the 16 published tabulated natural-log vectors. It is not a guarantee over the whole positive reals or unlisted neighborhoods of 0 and 1.; plus33 Decimal180 complete-pack references, primary4ULP and inverse16 EPS max(1,|y|) relative plus2subnormal quanta." }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "named expert review not performed" } }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp", "ui-url-result-graph" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). Success 1/1. Error-path engine·REST·MCP 3/3 (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. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session." }, "artifacts": { "evidence_bundle_sha256": "18bfdd8b3572e80707692369a1a70fed9d633b364fbebdd2e9822dcac4560812", "evidence_digest": "5d40bfcffb9c0cce4aad1c053e38817024ba69c1382742dc9b8d09e5c9a58584", "production_sha256": "0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae", "attested_catalog_sha256": "163b0d7072a58bed20a0320572211167e1629730bef43c185b5f545ceac7744c", "production_checks": [ { "id": "math.ln:output-const", "status": "pass", "detail": "output const 1.0.5 vs capability 1.0.5", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core" }, { "id": "math.ln:evidence-sha256", "status": "pass", "detail": "05d270f1d9ab", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core" }, { "id": "math.ln:semantic-contract", "status": "pass", "detail": "23/23", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core" }, { "id": "math.ln:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.5 vs origin 1.0.5", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core" }, { "id": "math.ln:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.ln/1.0.5/2026-10-28.meta-metrics-v2/core/5d40bfcffb9c", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core", "projection_compared": false }, { "id": "math.ln:cvp-latest-alias-agrees", "status": "pass", "detail": "math.ln/1.0.5/2026-10-28.meta-metrics-v2/core/5d40bfcffb9c", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core", "projection_compared": false }, { "id": "math.ln:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core" }, { "id": "math.ln:cvp-immutable-manifest-sha256", "status": "pass", "detail": "49c2f1ec03f3", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core" }, { "id": "math.ln:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.ln/1.0.5/2026-10-28.meta-metrics-v2/core/5d40bfcffb9c", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core", "projection_compared": false }, { "id": "math.ln:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core" }, { "id": "math.ln:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:13.265Z", "attestation_revision": "core" } ], "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": "5d40bfcffb9c0cce4aad1c053e38817024ba69c1382742dc9b8d09e5c9a58584", "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": "5d40bfcffb9c0cce4aad1c053e38817024ba69c1382742dc9b8d09e5c9a58584", "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": "05d270f1d9ab1d6fb51193026720c8c62312fc27b9ad99786b430dfc3c2ed87f", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "163b0d7072a58bed20a0320572211167e1629730bef43c185b5f545ceac7744c", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "5d40bfcffb9c0cce4aad1c053e38817024ba69c1382742dc9b8d09e5c9a58584" }, "dependencies": [ { "name": "ln-engine", "version": "1.0.5" }, { "name": "ln-reference-oracle", "version": "1.0.0" }, { "name": "ln-o3-mpmath-table", "version": "math-mpmath-o3" }, { "name": "math.antilog", "version": "1.0.7", "role": "cross_calculator_peer", "capability_id": "math.antilog", "evidence_digest": "0100576ce0d393a21f71e88d1b754f9332ebed5d6efb2180e172464a2d3952a8", "evidence": "https://www.calculatorx.com/evidence/math.antilog/1.0.7.cvp.json" }, { "name": "math.log", "version": "1.1.6", "role": "cross_calculator_peer", "capability_id": "math.log", "evidence_digest": "50443dfe9006b9bcad39c0e818f0ff3208e7071afdb2fe2a3ca5f63707e9b7f8", "evidence": "https://www.calculatorx.com/evidence/math.log/1.1.6.cvp.json" }, { "name": "math.exponent", "version": "1.0.5", "role": "cross_calculator_peer", "capability_id": "math.exponent", "evidence_digest": "747f98fcc5035b1250cd31dc5c31ef4f024a575949fc74d653158e0879bc3a0a", "evidence": "https://www.calculatorx.com/evidence/math.exponent/1.0.5.cvp.json" }, { "name": "node", "version": "22.20.0" } ], "attestation": { "status": "STALE", "href": "/.well-known/calculatorx-production-attestation.json", "id": "f3abb5d04ebc51171f259234b69628b210f1534445c968974f68a48041bc5e07", "attested_at": "2026-10-28T09:09:13.265Z", "last_confirmed_current_at": "2026-10-28T09:09:13.265Z", "site_attestation_current": false, "capability_attestation_current": false, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-10-28T05:32:35.458Z", "live_updated_at": "2026-10-28T10:42:42.828Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-10-28T05:32:35.458Z", "site_stale_count": 210 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 210, "site_stale_capability_count": 210, "evidence_attested_at": "2026-10-28T09:09:13.265Z", "stale_reason": "attestation snapshot core 49c2f1ec03f3 ≠ live cvp_core_sha256 5d40bfcffb9c (2026-10-28.meta-metrics-v2)" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.5", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-10-28T09:09:13.265Z", "generated_at": "2026-10-28T09:09:13.265Z", "rendered_at": "2026-10-28T10:42:43.641Z", "notes": "verified_at/generated_at mark the first publication of this cvp_core_sha256 (artifacts.evidence_digest alias) for suite verification. evidence_attested_at/attested_at is the first production bind of that core digest. last_confirmed_current_at is the latest site-wide report that still confirms CURRENT. rendered_at is this JSON serialization and is not part of cvp_core_sha256 / evidence_digest. Production attestation binds cvp_core_sha256 (binds evidence_digest). Causal order: verified_at ≤ evidence_attested_at ≤ last_confirmed_current_at. attestation.bound_snapshot.site_stale_count is the site-wide stale capability count at Manifest bind time — not a live value. Fetch attestation.live_site_status.href for the current site report." }, "tests": { "golden": { "passed": 36, "total": 36, "failed": 0 }, "boundary": { "passed": 12, "total": 12, "failed": 0 }, "invalid": { "passed": 12, "total": 12, "failed": 0 }, "property": { "passed": 2, "total": 2, "failed": 0 }, "round_trip": { "passed": 3, "total": 3, "failed": 0 }, "metamorphic": { "passed": 2, "total": 2, "failed": 0 }, "contract": { "passed": 6, "total": 6, "failed": 0 }, "cross_interface": { "passed": 4, "total": 4, "failed": 0 }, "cross_calculator": { "passed": 12, "total": 12, "failed": 0 }, "ui_integration": { "passed": 4, "total": 4, "failed": 0 }, "o3": { "passed": 16, "total": 16, "failed": 0, "claim_scope": "≤2 ULP vs O3 applies to the 16 published tabulated natural-log vectors. It is not a guarantee over the whole positive reals or unlisted neighborhoods of 0 and 1.; plus33 Decimal180 complete-pack references, primary4ULP and inverse16 EPS max(1,|y|) relative plus2subnormal quanta.", "max_error_ulp": 1 } }, "numerical": { "representation": "IEEE-754 binary64 Math.log", "tolerance": { "type": "ulp", "value": 2, "rationale": "Independent Math.log vs IUT ln; ≤2 ULP on value. Declared a priori.", "declared_before_evaluation": true }, "max_error_observed": 1, "claim_scope": "≤2 ULP vs O3 applies to the 16 published tabulated natural-log vectors. It is not a guarantee over the whole positive reals or unlisted neighborhoods of 0 and 1.; plus33 Decimal180 complete-pack references, primary4ULP and inverse16 EPS max(1,|y|) relative plus2subnormal quanta." }, "coverage": { "partitions": [ { "id": "ln", "description": "Natural logarithm", "exercised": true, "case_count": 82 }, { "id": "invalid-domain", "description": "Invalid inputs", "exercised": true, "case_count": 12 }, { "id": "xcal", "description": "Cross-calculator antilog(ln x, e)=x vs Antilog, log_e(x)=ln(x) vs Log, ln(e^n)=n vs Exponent; exponential growth N/A", "exercised": true, "case_count": 12 } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Natural logarithm as inverse of exp" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath 1.4.1 ln (80 dps, python backend, round-to-nearest-binary64) — not Node Math.*", "engine": { "name": "ln-mpmath-o3", "library": "mpmath 1.4.1", "mpmath_dps": 80, "precision_bits": 265, "backend": "python", "rounding": "round-to-nearest-binary64", "independent_of_iut": true, "generator_version": "1.0.0", "generator_sha256": "3453ec60bd03738a1f1f3723baed7e617ff49466452efab1844fe68b8f654cea", "table_sha256": "efdad939a92a67df1f3995db36c52bb87f428a59fc73568f789c02540f4372ee" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O3 table vs IUT value; ≤2 ULP on tabulated vectors only, not the whole domain. Distinct from legacy Evidence case-level tol.", "engine": { "name": "ln-mpmath-o3", "library": "mpmath 1.4.1", "mpmath_dps": 80, "precision_bits": 265, "backend": "python", "rounding": "round-to-nearest-binary64", "independent_of_iut": true, "generator_version": "1.0.0", "generator_sha256": "3453ec60bd03738a1f1f3723baed7e617ff49466452efab1844fe68b8f654cea", "table_sha256": "efdad939a92a67df1f3995db36c52bb87f428a59fc73568f789c02540f4372ee" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Independent Decimal180 ln and exp reference", "engine": { "name": "CPython Decimal180", "independent_of_iut": true, "same_runtime_as_iut": false, "generator_sha256": "e7a6d4ede19ccb604864a8960bc1a6fc260763d9a7180a7b7351211ebd199252" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Independent Decimal180 ln and exp reference", "engine": { "name": "CPython Decimal180", "independent_of_iut": true, "same_runtime_as_iut": false, "generator_sha256": "e7a6d4ede19ccb604864a8960bc1a6fc260763d9a7180a7b7351211ebd199252" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module natural-log oracle — independent Math.log", "engine": { "name": "ln-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs ≤2 ULP value comparison vs IUT", "engine": { "name": "ln-reference", "precision_bits": 53, "independent_of_iut": true } } ] }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.ln/1.0.5.json", "evidence_page": "https://www.calculatorx.com/evidence/math.ln/1.0.5", "calculator": "https://www.calculatorx.com/calc/math/ln", "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.ln/1.0.5.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.ln/1.0.5/2026-10-28.meta-metrics-v2.cvp.json", "manifest_core": "https://www.calculatorx.com/evidence/math.ln/1.0.5/2026-10-28.meta-metrics-v2.5d40bfcffb9c.cvp.json" }, "disclosure": { "policy": "calculatorx-public-evidence-v1", "full_validation": "private", "representation": "summary" } }