{ "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": "exponential-growth", "version": "1.0.10", "title": "Exponential Growth Calculator", "formula_family": "exponential_growth", "capability_id": "math.exponential_growth", "verification_revision": "2026-10-28.meta-metrics-v2" }, "profile": "engineering", "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": "exponential-growth", "version": "1.0.10", "uri": "https://www.calculatorx.com/evidence/math.exponential_growth/1.0.10.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-DIM-01", "CVP-PROP-01", "CVP-META-01", "CVP-ROUND-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "NIST DLMF §4.2(i) The Logarithm", "kind": "other", "reference": "Principal logarithm ln z", "url": "https://dlmf.nist.gov/4.2" }, { "label": "NIST DLMF §4.2(iii) The Exponential Function", "kind": "other", "reference": "exp z and the real exponential", "url": "https://dlmf.nist.gov/4.2" }, { "label": "NIST DLMF §4.2(iv) Powers", "kind": "other", "reference": "Principal value z^a = exp(a ln z)", "url": "https://dlmf.nist.gov/4.2" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "x₀(1+r/100)^t or x₀e^(kt)" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "periodic r > −100%; continuous uses k=ratePct; inverse solves any missing field among x₀, r, t given x(t)" }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "consistent time" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O3 mpmath table + O2 live identities" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "14/14 legacy golden; 69/69 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "6/6 CVP boundary · 6/6 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "6 Evidence illegal-input + 4/4 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "CVP4e-12 relative plus2 subnormal quanta; legacy O3 separately≤32ULP when tabulated (iterated pow/log-ratio, not a correctly-rounded libm); legacy Evidence `tol` is not this policy. Evidence `tol_type` is absolute where declared." }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "7/7 declared partitions (forward-periodic, forward-continuous, inverse-time, inverse-x0, inverse-rate, verify, invalid-domain) · 14 legacy golden / 6 CVP boundary unique cases · 6 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "29/29 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 · input-schema-declares-xt=PASS · input-schema-accepts-inverse-time=PASS · input-schema-accepts-verify=PASS · input-schema-rejects-two-fields=PASS · output-schema-defines-consistency=PASS · input-schema-forward=PASS · rest-forward-output-schema=PASS · rest-forward-consistency=PASS · input-schema-forward-continuous=PASS · rest-forward-continuous-output-schema=PASS · rest-forward-continuous-consistency=PASS · input-schema-inverse-time=PASS · rest-inverse-time-output-schema=PASS · rest-inverse-time-consistency=PASS · input-schema-inverse-x0=PASS · rest-inverse-x0-output-schema=PASS · rest-inverse-x0-consistency=PASS · input-schema-inverse-rate=PASS · rest-inverse-rate-output-schema=PASS · rest-inverse-rate-consistency=PASS · input-schema-verify=PASS · rest-verify-output-schema=PASS · rest-verify-consistency=PASS · rest-success-payload-validates-schema=PASS" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine exponential-growth; 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) @ 2026-10-28T10:42:46.553Z · Public schema 1.0.10 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.10 · 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=2026-10-28T09:09:17.898Z · evidence_attested_at=2026-10-28T09:09:17.898Z · last_confirmed_current_at=2026-10-28T09:09:17.898Z · rendered_at=2026-10-28T10:42:46.998Z · binds=cvp_core_sha256 · attestation snapshot core c1f21340b363 ≠ live cvp_core_sha256 3c510e301f33 (2026-10-28.meta-metrics-v2)", "check_result": "PASS", "production_state": "STALE", "binding_current": false }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "Engineering constant-rate model — consistent time units, not a unitless core identity" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "1/1 metamorphic" }, "CVP-ROUND-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 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). Success 65/65. 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 13/13 tabulated vectors vs IUT · Listed independent reference vectors only; no whole-domain/runtime guarantee." }, "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 65/65. 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": "4ecfc3ba6ebb2da5808da9f7095ed0b87dcdd100db1425fbb8c10cb173f6524e", "evidence_digest": "3c510e301f3390e5d121901dc63bb047d90e27cd5d16118167b7d2fcf1e8c719", "production_sha256": "0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae", "attested_catalog_sha256": "163b0d7072a58bed20a0320572211167e1629730bef43c185b5f545ceac7744c", "production_checks": [ { "id": "math.exponential_growth:output-const", "status": "pass", "detail": "output const 1.0.10 vs capability 1.0.10", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core" }, { "id": "math.exponential_growth:evidence-sha256", "status": "pass", "detail": "609dcd389f6d", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core" }, { "id": "math.exponential_growth:semantic-contract", "status": "pass", "detail": "20/20", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core" }, { "id": "math.exponential_growth:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.10 vs origin 1.0.10", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core" }, { "id": "math.exponential_growth:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.exponential_growth/1.0.10/2026-10-28.meta-metrics-v2/engineering/3c510e301f33", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core", "projection_compared": false }, { "id": "math.exponential_growth:cvp-latest-alias-agrees", "status": "pass", "detail": "math.exponential_growth/1.0.10/2026-10-28.meta-metrics-v2/engineering/3c510e301f33", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core", "projection_compared": false }, { "id": "math.exponential_growth:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core" }, { "id": "math.exponential_growth:cvp-immutable-manifest-sha256", "status": "pass", "detail": "c1f21340b363", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core" }, { "id": "math.exponential_growth:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.exponential_growth/1.0.10/2026-10-28.meta-metrics-v2/engineering/3c510e301f33", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core", "projection_compared": false }, { "id": "math.exponential_growth:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "attestation_revision": "core" }, { "id": "math.exponential_growth:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-10-28T09:09:17.898Z", "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": "3c510e301f3390e5d121901dc63bb047d90e27cd5d16118167b7d2fcf1e8c719", "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": "3c510e301f3390e5d121901dc63bb047d90e27cd5d16118167b7d2fcf1e8c719", "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": "609dcd389f6dcf646da380f814a86b353ece0c274944ff68a3c51dc1c99740fc", "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": "3c510e301f3390e5d121901dc63bb047d90e27cd5d16118167b7d2fcf1e8c719" }, "dependencies": [ { "name": "exponential-growth-engine", "version": "1.0.10" }, { "name": "exponential-growth-reference-oracle", "version": "1.0.0" }, { "name": "exponential-growth-o3-mpmath-table", "version": "math-mpmath-o3" }, { "name": "node", "version": "22.20.0" } ], "attestation": { "status": "STALE", "href": "/.well-known/calculatorx-production-attestation.json", "id": "f3abb5d04ebc51171f259234b69628b210f1534445c968974f68a48041bc5e07", "attested_at": "2026-10-28T09:09:17.898Z", "last_confirmed_current_at": "2026-10-28T09:09:17.898Z", "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": "2026-10-28T10:42:46.553Z", "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": "2026-10-28T09:09:17.898Z", "stale_reason": "attestation snapshot core c1f21340b363 ≠ live cvp_core_sha256 3c510e301f33 (2026-10-28.meta-metrics-v2)" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.10", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-10-28T09:09:17.898Z", "generated_at": "2026-10-28T09:09:17.898Z", "rendered_at": "2026-10-28T10:42:46.998Z", "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": 69, "total": 69, "failed": 0 }, "boundary": { "passed": 6, "total": 6, "failed": 0 }, "invalid": { "passed": 10, "total": 10, "failed": 0, "comparison": "exact_error_match" }, "property": { "passed": 3, "total": 3, "failed": 0 }, "round_trip": { "passed": 3, "total": 3, "failed": 0 }, "metamorphic": { "passed": 1, "total": 1, "failed": 0 }, "contract": { "passed": 29, "total": 29, "failed": 0 }, "cross_interface": { "passed": 65, "total": 65, "failed": 0 }, "ui_integration": { "passed": 4, "total": 4, "failed": 0 }, "o3": { "passed": 13, "total": 13, "failed": 0, "claim_scope": "Listed independent reference vectors only; no whole-domain/runtime guarantee.", "max_error_ulp": 1 } }, "numerical": { "representation": "IEEE-754 binary64 (1+r/100)^t / Math.exp", "tolerance": { "type": "composite", "value": 4e-12, "rationale": "Predeclared fixed-vector relative budget4e-12 plus2 subnormal quanta; strict sign/type/zero. Legacy O3 additionally checked32ULP in dedicated regression.", "declared_before_evaluation": true }, "max_error_observed": 16, "claim_scope": "Listed independent reference vectors only; no whole-domain/runtime guarantee." }, "coverage": { "partitions": [ { "id": "forward-periodic", "description": "Forward periodic x₀(1+r/100)^t", "exercised": true, "case_count": 75 }, { "id": "forward-continuous", "description": "Forward continuous x₀e^(kt)", "exercised": true, "case_count": 22 }, { "id": "inverse-time", "description": "Solve t from x₀, r, x(t)", "exercised": true, "case_count": 2 }, { "id": "inverse-x0", "description": "Solve x₀ from r, t, x(t)", "exercised": true, "case_count": 1 }, { "id": "inverse-rate", "description": "Solve r from x₀, t, x(t)", "exercised": true, "case_count": 1 }, { "id": "verify", "description": "Four-field displayed-precision verify", "exercised": true, "case_count": 2 }, { "id": "invalid-domain", "description": "Invalid inputs", "exercised": true, "case_count": 10 } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Exponential growth and decay" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath 1.4.1 exp_growth (80 dps, python backend, round-to-nearest-binary64) — not Node Math.*", "engine": { "name": "exp_growth-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 x(t)/solved variable; ≤32 ULP for iterated pow/log-ratio. Distinct from legacy Evidence case-level tol.", "engine": { "name": "exp_growth-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": "Separate-module exponential-growth oracle", "engine": { "name": "exponential-growth-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs ≤32 ULP scalar comparison vs IUT (iterated pow/log-ratio)", "engine": { "name": "exponential-growth-reference", "precision_bits": 53, "independent_of_iut": true } } ] }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.exponential_growth/1.0.10.json", "evidence_page": "https://www.calculatorx.com/evidence/math.exponential_growth/1.0.10", "calculator": "https://www.calculatorx.com/calc/math/exponential-growth", "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.exponential_growth/1.0.10.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.exponential_growth/1.0.10/2026-10-28.meta-metrics-v2.cvp.json", "manifest_core": "https://www.calculatorx.com/evidence/math.exponential_growth/1.0.10/2026-10-28.meta-metrics-v2.3c510e301f33.cvp.json" }, "disclosure": { "policy": "calculatorx-public-evidence-v1", "full_validation": "private", "representation": "summary" } }