{ "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": "weak-base-equilibrium", "version": "1.0.4", "title": "Weak-base ICE", "formula_family": "weak-base-ice", "capability_id": "chemistry.equilibrium.weak_base", "verification_revision": "2026-10-13.node22-residual-replay" }, "profile": "engineering", "verified_scope": "Monoprotic weak-base ICE, + O3 mpmath tabulated [OH−].", "deferred_scope": "Not a buffer and not a weak acid.", "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": "weak-base-equilibrium", "version": "1.0.4", "uri": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/1.0.4.json", "verification_revision": "2026-10-13.node22-residual-replay" }, "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": "OpenStax Chemistry 2e — Weak Bases", "kind": "other", "reference": "Equilibrium of a weak base", "url": "https://openstax.org/books/chemistry-2e/pages/14-3-relative-strengths-of-acids-and-bases" }, { "label": "IUPAC Gold Book — basicity constant", "kind": "standard", "reference": "basicity constant", "url": "https://goldbook.iupac.org/terms/view/B00618" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "Weak-base ICE; O3 tabulated [OH−]" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Not a buffer. Absolute 1e-8." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "C, Kb, oh, BH, B, and h are mol/L. pH and pKb are dimensionless." }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 + O2 + O3" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "2/2 legacy golden; 3/3 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "5/5 CVP boundary · 6/6 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "5 Evidence illegal-input + 2/2 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "max_error_observed_ulp=0; policy declared a priori" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "7/7 partitions" }, "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 weak-base-equilibrium; 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 @ 2026-10-14T16:06:21.473Z · live site-wide report stale @ 2026-10-14T16:06:23.794Z (4 other capabilities) · local checks pass · attestation_id=3e91f5ef575c2270f9ec6c2d3a81023a6fd63f3a226ffb5185b1499537e66272 · This calculator CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-10-14T16:06:21.473Z · Live production status STALE (4 capabilities; 372 remain CURRENT) @ 2026-10-14T16:06:23.794Z · Public schema 1.0.4 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.4 · 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=717df72e5aa7ed1160816959e2b61c083741151c248a1caa9cd9447b4b054376 · verified_at=2026-10-13T09:47:37.127Z · evidence_attested_at=2026-10-13T09:47:37.127Z · last_confirmed_current_at=2026-10-14T16:06:21.473Z · rendered_at=2026-10-14T16:06:23.907Z · binds=cvp_core_sha256", "check_result": "PASS", "production_state": "CURRENT", "binding_current": true }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "Monoprotic weak-base ICE at 25 °C" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "1/1 property · enumerated fixed assertions (not generated; no seed)" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "1/1 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: monoprotic weak-base ICE vs a separate-module quadratic or Newton cubic. Agreement is absolute 1e-8 because the IUT root is a residual solver. Not a buffer. Absolute 1e-8 vs O3 applies only to the published tabulated weak-base vectors. Not a buffer." }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "named expert review not performed" } }, "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": "b374a712c2ed5085264a8f653edab341e62b4e94d4051b752a0ef8bbcd80df9c", "evidence_digest": "87cd5351751e3a25c261c9c615de7e8507ea7eec5444ab65c7a5bf0f9f3957c5", "production_sha256": "717df72e5aa7ed1160816959e2b61c083741151c248a1caa9cd9447b4b054376", "attested_catalog_sha256": "2ec8209bd773c3b6a186bdb8439e3adac379d819ff51de11e92ac166fc9d1e36", "production_checks": [ { "id": "chemistry.equilibrium.weak_base:output-const", "status": "pass", "detail": "output const 1.0.4 vs capability 1.0.4", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" }, { "id": "chemistry.equilibrium.weak_base:evidence-sha256", "status": "pass", "detail": "a84fe70d24f7", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" }, { "id": "chemistry.equilibrium.weak_base:semantic-contract", "status": "pass", "detail": "13/13", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" }, { "id": "chemistry.equilibrium.weak_base:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.4 vs origin 1.0.4", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" }, { "id": "chemistry.equilibrium.weak_base:cvp-manifest-public-origin-agree", "status": "pass", "detail": "chemistry.equilibrium.weak_base/1.0.4/2026-10-13.node22-residual-replay/engineering/87cd5351751e", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z", "projection_compared": false }, { "id": "chemistry.equilibrium.weak_base:cvp-latest-alias-agrees", "status": "pass", "detail": "chemistry.equilibrium.weak_base/1.0.4/2026-10-13.node22-residual-replay/engineering/87cd5351751e", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z", "projection_compared": false }, { "id": "chemistry.equilibrium.weak_base:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" }, { "id": "chemistry.equilibrium.weak_base:cvp-immutable-manifest-sha256", "status": "pass", "detail": "87cd5351751e", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" }, { "id": "chemistry.equilibrium.weak_base:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "chemistry.equilibrium.weak_base/1.0.4/2026-10-13.node22-residual-replay/engineering/87cd5351751e", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z", "projection_compared": false }, { "id": "chemistry.equilibrium.weak_base:cvp-reproduce-manifest-agree", "status": "pass", "detail": "2026-10-13.node22-residual-replay · 77f3750d0183", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" }, { "id": "chemistry.equilibrium.weak_base:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" }, { "id": "chemistry.equilibrium.weak_base:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-13T09:47:37.127Z" } ], "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": "87cd5351751e3a25c261c9c615de7e8507ea7eec5444ab65c7a5bf0f9f3957c5", "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": "87cd5351751e3a25c261c9c615de7e8507ea7eec5444ab65c7a5bf0f9f3957c5", "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": "a84fe70d24f7e4ddc4953faa4c71254a996daf649c1c6bb82ef844274f18b963", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "2ec8209bd773c3b6a186bdb8439e3adac379d819ff51de11e92ac166fc9d1e36", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "87cd5351751e3a25c261c9c615de7e8507ea7eec5444ab65c7a5bf0f9f3957c5" }, "dependencies": [ { "name": "weak-base-equilibrium-engine", "version": "1.0.4" }, { "name": "weak-base-equilibrium-reference-oracle", "version": "1.0.0" }, { "name": "weak-base-mpmath-o3-table", "version": "weak-base-mpmath-o3" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "3e91f5ef575c2270f9ec6c2d3a81023a6fd63f3a226ffb5185b1499537e66272", "attested_at": "2026-10-13T09:47:37.127Z", "last_confirmed_current_at": "2026-10-14T16:06:21.473Z", "site_attestation_current": false, "capability_attestation_current": true, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-10-14T16:06:21.473Z", "live_updated_at": "2026-10-14T16:06:23.794Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-10-14T16:06:21.473Z", "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": "2026-10-13T09:47:37.127Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.4", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-10-13T09:47:37.127Z", "generated_at": "2026-10-13T09:47:37.127Z", "rendered_at": "2026-10-14T16:06:23.907Z", "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": 3, "total": 3, "failed": 0 }, "boundary": { "passed": 5, "total": 5, "failed": 0 }, "invalid": { "passed": 7, "total": 7, "failed": 0, "comparison": "exact_error_match" }, "property": { "passed": 1, "total": 1, "failed": 0, "kind": "fixed", "claim_scope": "Enumerated identity: no-water Kb = oh²/(C − oh) within 1e-8." }, "round_trip": { "passed": 0, "total": 0, "failed": 0 }, "metamorphic": { "passed": 1, "total": 1, "failed": 0 }, "contract": { "passed": 6, "total": 6, "failed": 0 }, "cross_interface": { "passed": 2, "total": 2, "failed": 0 }, "o3": { "passed": 8, "total": 8, "failed": 0, "claim_scope": "O2: monoprotic weak-base ICE vs a separate-module quadratic or Newton cubic. Agreement is absolute 1e-8 because the IUT root is a residual solver. Not a buffer. Absolute 1e-8 vs O3 applies only to the published tabulated weak-base vectors. Not a buffer.", "max_error_ulp": 0, "table_sha256": "77f3750d01839499a0854ed2b025b7d757c7ccbb22a9cbf1b838456d203c8992" } }, "numerical": { "representation": "IEEE-754 binary64", "tolerance": { "type": "absolute", "value": 1e-8, "rationale": "IUT is a residual root. The separate analytic root agrees within 1e-8, the evidence tolerance.", "declared_before_evaluation": true }, "max_error_observed": 0, "claim_scope": "O2: monoprotic weak-base ICE vs a separate-module quadratic or Newton cubic. Agreement is absolute 1e-8 because the IUT root is a residual solver. Not a buffer. Absolute 1e-8 vs O3 applies only to the published tabulated weak-base vectors. Not a buffer." }, "coverage": { "partitions": [ { "id": "alias", "description": "c or kb alias", "exercised": true, "case_count": 1 }, { "id": "pkb", "description": "pKb input", "exercised": true, "case_count": 3 }, { "id": "awkward", "description": "dilute no-water case", "exercised": true, "case_count": 2 }, { "id": "dilute", "description": "C = 1e-4", "exercised": true, "case_count": 1 }, { "id": "no-water", "description": "quadratic ICE", "exercised": true, "case_count": 5 }, { "id": "water", "description": "charge balance with Kw", "exercised": true, "case_count": 9 }, { "id": "invalid-domain", "description": "non-positive C or an unknown mode", "exercised": true, "case_count": 7 } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Weak-base ICE" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath weak-base ICE (80 dps)", "engine": { "name": "weak-base-mpmath-o3", "library": "mpmath 1.4.1", "mpmath_dps": 80, "precision_bits": 265, "independent_of_iut": true, "same_runtime_as_iut": false, "generator_version": "1.0.0", "generator_sha256": "3bbe6db2bce481fc58317dc2b51a2ec4ec66d68a2e77649878cd98fbdfe1c7d2", "table_sha256": "77f3750d01839499a0854ed2b025b7d757c7ccbb22a9cbf1b838456d203c8992" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O3 table vs IUT weak-base ICE; absolute 1e-8 on tabulated vectors only", "engine": { "name": "weak-base-mpmath-o3", "library": "mpmath 1.4.1", "mpmath_dps": 80, "precision_bits": 265, "independent_of_iut": true, "same_runtime_as_iut": false, "generator_version": "1.0.0", "generator_sha256": "3bbe6db2bce481fc58317dc2b51a2ec4ec66d68a2e77649878cd98fbdfe1c7d2", "table_sha256": "77f3750d01839499a0854ed2b025b7d757c7ccbb22a9cbf1b838456d203c8992" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module weak-base ICE oracle", "engine": { "name": "weak-base-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs absolute 1e-8 weak-base comparison", "engine": { "name": "weak-base-reference", "precision_bits": 53, "independent_of_iut": true } } ] }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/1.0.4.json", "evidence_page": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/1.0.4", "calculator": "https://www.calculatorx.com/calc/chemistry/weak-base-equilibrium", "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/chemistry.equilibrium.weak_base/1.0.4.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/1.0.4/2026-10-13.node22-residual-replay.cvp.json", "reproduce": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/reproduce", "manifest_core": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/1.0.4/2026-10-13.node22-residual-replay.87cd5351751e.cvp.json" }, "disclosure": { "policy": "calculatorx-public-evidence-v1", "full_validation": "private", "representation": "summary" } }