{ "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": "square-root", "version": "1.0.4", "title": "Square Root Calculator", "formula_family": "square_root", "capability_id": "math.square_root", "verification_revision": "2026-10-26.square-root-complete-contract-v1" }, "profile": "core", "status": "VERIFIED", "verification_status": "VERIFIED", "production_freshness": "CURRENT", "overall_trust": "VERIFIED", "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": "square-root", "version": "1.0.4", "uri": "https://www.calculatorx.com/evidence/math.square_root/1.0.4.json", "verification_revision": "2026-10-26.square-root-complete-contract-v1" }, "obligation_set": [ "CVP-PROV-01", "CVP-MODEL-01", "CVP-SCOPE-01", "CVP-UNIT-01", "CVP-REF-01", "CVP-GOLD-01", "CVP-BND-01", "CVP-INV-01", "CVP-NUM-01", "CVP-COV-01", "CVP-CONTRACT-01", "CVP-DEP-01", "CVP-ART-01", "CVP-PROD-01", "CVP-PROP-01", "CVP-META-01", "CVP-ROUND-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "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(iv)", "kind": "other", "reference": "Powers: principal value z^a = exp(a ln z)", "url": "https://dlmf.nist.gov/4.2" }, { "label": "CalculatorX mathematical conventions", "kind": "other", "reference": "Principal real root; principal imaginary for x < 0" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "principal √x; imag for x < 0" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Declared partitions are positive-real, zero, negative-imaginary, tiny-subnormal, large-finite, invalid-domain — not a whole-domain claim. x < 0 is the published principal imaginary √|x| i, not invalid-domain. Complete-result comparison includes both branches, min-subnormal and max-finite; strict decimal parsing and raw underflow rejection." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "dimensionless (unitless core)" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + independent Decimal2000 complete-result corpus + O2 identities" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "11/11 legacy golden; 80/80 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "7/7 CVP boundary · 7/7 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "7 Evidence illegal-input + 4/4 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "CVP ≤2 ULP complete typed magnitude/branch comparison on declared80vectors; exact null and zero" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "6/6 declared partitions (positive-real, zero, negative-imaginary, tiny-subnormal, large-finite, invalid-domain) · 11 legacy golden / 7 CVP boundary unique cases · 7 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "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 square-root; 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 @ 2026-10-28T05:11:56.928Z · live site-wide report stale @ 2026-10-28T05:12:33.113Z (12 other capabilities) · local checks pass · attestation_id=f3abb5d04ebc51171f259234b69628b210f1534445c968974f68a48041bc5e07 · This calculator CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-10-28T05:11:56.928Z · Live production status STALE (12 capabilities; 364 remain CURRENT) @ 2026-10-28T05:12:33.113Z · 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 · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae · verified_at=2026-10-26T05:40:15.201Z · evidence_attested_at=2026-10-26T05:40:15.201Z · last_confirmed_current_at=2026-10-28T05:11:56.928Z · rendered_at=2026-10-28T05:12:33.945Z · binds=cvp_core_sha256", "check_result": "PASS", "production_state": "CURRENT", "binding_current": true }, "CVP-DIM-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "Unitless core calculator — no physical dimension algebra" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "4/4 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": "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 4/4. 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 (5/5). Hydration/slider/history are URL-canonical contracts, not a live browser session. Live-browser hydration, slider, Copy JSON, and Overview/Focus are covered in the current full review; Core ui-ssr is not a browser session." }, "CVP-ORACLE-01": { "result": "SKIP", "applicability": "higher_assurance", "notes": "O2 present; O3 not required this wave" }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "named expert review not performed" } }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp", "ui-url-result-graph" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). Success 4/4. 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 (5/5). Hydration/slider/history are URL-canonical contracts, not a live browser session. Live-browser hydration, slider, Copy JSON, and Overview/Focus are covered in the current full review; Core ui-ssr is not a browser session." }, "artifacts": { "evidence_bundle_sha256": "bd771f8a25ba738b2a08aedd34a29d13547cd32700ad15abb3eacdb46b105cc7", "evidence_digest": "767ce88755a9ac176a1237fffdbee8b88b25f21056267882eba0cb0c6220c65d", "production_sha256": "0904162d9842ae579e660eb678ec02f2ca6e852dd03b716905c0a6501acd7dae", "attested_catalog_sha256": "163b0d7072a58bed20a0320572211167e1629730bef43c185b5f545ceac7744c", "production_checks": [ { "id": "math.square_root: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": "2026-10-26T05:40:15.201Z" }, { "id": "math.square_root:evidence-sha256", "status": "pass", "detail": "c2068787b531", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z" }, { "id": "math.square_root:semantic-contract", "status": "pass", "detail": "18/18", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z" }, { "id": "math.square_root: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": "2026-10-26T05:40:15.201Z" }, { "id": "math.square_root:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.square_root/1.0.4/2026-10-26.square-root-complete-contract-v1/core/767ce88755a9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z", "projection_compared": false }, { "id": "math.square_root:cvp-latest-alias-agrees", "status": "pass", "detail": "math.square_root/1.0.4/2026-10-26.square-root-complete-contract-v1/core/767ce88755a9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z", "projection_compared": false }, { "id": "math.square_root:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z" }, { "id": "math.square_root:cvp-immutable-manifest-sha256", "status": "pass", "detail": "767ce88755a9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z" }, { "id": "math.square_root:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.square_root/1.0.4/2026-10-26.square-root-complete-contract-v1/core/767ce88755a9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z", "projection_compared": false }, { "id": "math.square_root:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z" }, { "id": "math.square_root:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-10-26T05:40:15.201Z" } ], "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": "767ce88755a9ac176a1237fffdbee8b88b25f21056267882eba0cb0c6220c65d", "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": "767ce88755a9ac176a1237fffdbee8b88b25f21056267882eba0cb0c6220c65d", "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": "c2068787b531fa02649eb14ed6e9c22f5555014b7516f19a66143cc8a403e5f3", "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": "767ce88755a9ac176a1237fffdbee8b88b25f21056267882eba0cb0c6220c65d" }, "dependencies": [ { "name": "square-root-engine", "version": "1.0.4" }, { "name": "square-root-reference-oracle", "version": "1.0.0" }, { "name": "node", "version": "22.20.0" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "f3abb5d04ebc51171f259234b69628b210f1534445c968974f68a48041bc5e07", "attested_at": "2026-10-26T05:40:15.201Z", "last_confirmed_current_at": "2026-10-28T05:11:56.928Z", "site_attestation_current": false, "capability_attestation_current": true, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-10-28T05:11:56.928Z", "live_updated_at": "2026-10-28T05:12:33.113Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-10-28T05:11:56.928Z", "site_stale_count": 12 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 12, "site_stale_capability_count": 12, "evidence_attested_at": "2026-10-26T05:40:15.201Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.4", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-10-26T05:40:15.201Z", "generated_at": "2026-10-26T05:40:15.201Z", "rendered_at": "2026-10-28T05:12:33.945Z", "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": 80, "total": 80, "failed": 0 }, "boundary": { "passed": 7, "total": 7, "failed": 0 }, "invalid": { "passed": 11, "total": 11, "failed": 0, "comparison": "exact_error_match" }, "property": { "passed": 4, "total": 4, "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": 7, "total": 7, "failed": 0 }, "ui_integration": { "passed": 5, "total": 5, "failed": 0 } }, "numerical": { "representation": "IEEE-754 binary64 radicand and principal real/imaginary magnitude", "tolerance": { "type": "ulp", "value": 2, "rationale": "Complete keys/types/branch; nonzero numerical magnitudes within2 ULP vs independently rounded Decimal2000. Zero and null exact.", "declared_before_evaluation": true }, "max_error_observed": 0, "claim_scope": "80 fixed and seeded complete results including both signs, zero, subnormal, max finite and rounding neighbors; not exhaustive" }, "coverage": { "partitions": [ { "id": "positive-real", "description": "x > 0 finite principal real √x, excluding tiny/subnormal and large-finite numerical boundaries", "exercised": true, "case_count": 33 }, { "id": "zero", "description": "√0 = 0", "exercised": true, "case_count": 6 }, { "id": "negative-imaginary", "description": "x < 0 principal imaginary √|x| i — published contract, not invalid-domain", "exercised": true, "case_count": 33 }, { "id": "tiny-subnormal", "description": "Tiny positive including subnormals: 0 < x < 1e-6 (O3 includes 1e-8 and IEEE-754 min-subnormal)", "exercised": true, "case_count": 20 }, { "id": "large-finite", "description": "Large finite radicand x ≥ 1e100 (O3 includes max-finite; Evidence also has 1e308)", "exercised": true, "case_count": 7 }, { "id": "invalid-domain", "description": "MISSING_REQUIRED_INPUT / INVALID_NUMBER — not the negative imaginary branch", "exercised": true, "case_count": 11 } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Principal square root (real or ±√|x| i)" }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Cross-runtime Decimal2000 complete real/imag/principal reference", "engine": { "name": "CPython Decimal2000 sqrt", "independent_of_iut": true, "same_runtime_as_iut": false, "generator_sha256": "cbf4c80312eddcce0218ceae54ce522ce27f3b668bb8ab4797e5533e535b4758" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Cross-runtime Decimal2000 complete real/imag/principal reference", "engine": { "name": "CPython Decimal2000 sqrt", "independent_of_iut": true, "same_runtime_as_iut": false, "generator_sha256": "cbf4c80312eddcce0218ceae54ce522ce27f3b668bb8ab4797e5533e535b4758" } } ] }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.square_root/1.0.4.json", "evidence_page": "https://www.calculatorx.com/evidence/math.square_root/1.0.4", "calculator": "https://www.calculatorx.com/calc/math/square-root", "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.square_root/1.0.4.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.square_root/1.0.4/2026-10-26.square-root-complete-contract-v1.cvp.json", "manifest_core": "https://www.calculatorx.com/evidence/math.square_root/1.0.4/2026-10-26.square-root-complete-contract-v1.767ce88755a9.cvp.json" }, "disclosure": { "policy": "calculatorx-public-evidence-v1", "full_validation": "private", "representation": "summary" } }