{ "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": "mechanical-beam-deflection", "version": "1.1.0", "title": "Mechanical Beam Deflection (shared contract)", "formula_family": "beam_deflection", "capability_id": "mechanical.beam.deflection", "verification_revision": "2026-09-27.o2-o3.parent.v11.ri" }, "profile": "engineering", "verified_scope": "Shared Euler–Bernoulli contract: support × loads[] × query; Layer-A closed forms via delegates; multi-load δ=Σδ_i; partitioned O3 for three Layer-A tip/midspan tables. v1.1 adds overhang, cantilever triangular, partial/outer uniform, center/ends triangle peaks.", "deferred_scope": "Not FEM, not indeterminate, not Timoshenko, not generic multi-load max, not interior uniform segments, not overhang arm at_x stations.", "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": "mechanical-beam-deflection", "version": "1.1.0", "uri": "https://www.calculatorx.com/evidence/mechanical.beam.deflection/1.1.0.json", "verification_revision": "2026-09-27.o2-o3.parent.v11.ri" }, "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-XCAL-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "Hibbeler, Mechanics of Materials", "kind": "other", "reference": "Deflection of beams — simply supported beam with a concentrated load at midspan" }, { "label": "Gere and Goodno, Mechanics of Materials", "kind": "other", "reference": "Deflection of beams — simply supported beam with a concentrated load at midspan" } ] }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "δ composition; partitioned O3" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "O3 Layer-A tabulated partitions only." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "P/w/M, L, E, I consistent; δ has length unit of L." }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 + O2 + partitioned O3" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "4/4 legacy golden; 5/5 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "2/2 CVP boundary · 2/2 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "2 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=1; policy declared a priori" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "Layer-A + composition properties" }, "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 mechanical-beam-deflection; 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 @ 2026-09-27T21:30:18.892Z · live site-wide report stale @ 2026-09-27T21:30:20.255Z (168 other capabilities) · local checks pass · attestation_id=3e87d65fe7a9859d4e2296ea65071c617c3ad41c798fcda1f5837b03b9178152 · This calculator CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-09-27T21:30:18.892Z · Live production status STALE (168 capabilities; 205 remain CURRENT) @ 2026-09-27T21:30:20.255Z · Public schema 1.1.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.1.0 · 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 · evidence-html-cvp-projection=pass · attested_evidence_sha256=840337987819fb98f9e4db996763651026e2149aa6f790df5ea8a9d0ef60091a · verified_at=2026-09-27T10:07:56.670Z · evidence_attested_at=2026-09-27T10:07:56.670Z · last_confirmed_current_at=2026-09-27T21:30:18.892Z · rendered_at=2026-09-27T21:30:48.354Z · binds=cvp_core_sha256", "check_result": "PASS", "production_state": "CURRENT", "binding_current": true }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "Deflection composition" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "5/5 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": "PASS", "applicability": "applicable", "notes": "2/2 cross-calculator · xcal-ss-midspan-leaf PASS vs mechanical.statics.beam_deflection; xcal-cantilever-tip-leaf PASS vs mechanical.statics.cantilever_deflection" }, "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. SSR Entry uses leaf-shaped query (prefill remap). REST/MCP use mechanical.beam.deflection contract inputs." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 24/24 tabulated vectors vs IUT · O2: delta vs composed Layer-A separate-module identities (≤2 ULP). Multi-load is Σ δ_i. Not FEM, not indeterminate, not generic multi-load max. ≤2 ULP vs O3 applies only to tabulated Layer-A partitions projected from published leaf mpmath tables (simply_supported×point×midspan, cantilever×point×tip, simply_supported×uniform×midspan). Multi-load composition is out of O3 claim scope." }, "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. SSR Entry uses leaf-shaped query (prefill remap). REST/MCP use mechanical.beam.deflection contract inputs." }, "artifacts": { "evidence_bundle_sha256": "bdbf17604e5e37f0c36eaded95237b93a7618216779d751027cc0d239e7ab121", "evidence_digest": "3f54eaf621a9a258db3b6de8b8743b6ab7ead123cb31fba2fa569551a36cc431", "production_sha256": "840337987819fb98f9e4db996763651026e2149aa6f790df5ea8a9d0ef60091a", "attested_catalog_sha256": "670b01222b88c39d06b7e07a351a34f217f15a1a98b8b9feca1418bab97eeddf", "production_checks": [ { "id": "mechanical.beam.deflection:output-const", "status": "pass", "detail": "output const 1.1.0 vs capability 1.1.0", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z" }, { "id": "mechanical.beam.deflection:evidence-sha256", "status": "pass", "detail": "280bb1b6efdd", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z" }, { "id": "mechanical.beam.deflection:semantic-contract", "status": "pass", "detail": "7/7", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z" }, { "id": "mechanical.beam.deflection:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.1.0 vs origin 1.1.0", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z" }, { "id": "mechanical.beam.deflection:cvp-manifest-public-origin-agree", "status": "pass", "detail": "mechanical.beam.deflection/1.1.0/2026-09-27.o2-o3.parent.v11.ri/engineering/3f54eaf621a9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z", "projection_compared": false }, { "id": "mechanical.beam.deflection:cvp-latest-alias-agrees", "status": "pass", "detail": "mechanical.beam.deflection/1.1.0/2026-09-27.o2-o3.parent.v11.ri/engineering/3f54eaf621a9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z", "projection_compared": false }, { "id": "mechanical.beam.deflection:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z" }, { "id": "mechanical.beam.deflection:cvp-immutable-manifest-sha256", "status": "pass", "detail": "3f54eaf621a9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z" }, { "id": "mechanical.beam.deflection:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "mechanical.beam.deflection/1.1.0/2026-09-27.o2-o3.parent.v11.ri/engineering/3f54eaf621a9", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z", "projection_compared": false }, { "id": "mechanical.beam.deflection:cvp-reproduce-manifest-agree", "status": "pass", "detail": "2026-09-27.o2-o3.parent.v11.ri · ac85afeb2106", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z" }, { "id": "mechanical.beam.deflection:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-27T10:07:56.670Z" } ], "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": "3f54eaf621a9a258db3b6de8b8743b6ab7ead123cb31fba2fa569551a36cc431", "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": "3f54eaf621a9a258db3b6de8b8743b6ab7ead123cb31fba2fa569551a36cc431", "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": "280bb1b6efdd6f527512d4f38326c256558106814cf5f95b83764ce03eba3a47", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "670b01222b88c39d06b7e07a351a34f217f15a1a98b8b9feca1418bab97eeddf", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "3f54eaf621a9a258db3b6de8b8743b6ab7ead123cb31fba2fa569551a36cc431" }, "dependencies": [ { "name": "mechanical-beam-deflection-engine", "version": "1.1.0" }, { "name": "mechanical-beam-deflection-reference-oracle", "version": "1.0.0" }, { "name": "beam-deflection-contract-partitioned-o3", "version": "beam-deflection-contract-partitioned-o3" }, { "name": "mechanical.statics.beam_deflection", "version": "1.0.0", "role": "cross_calculator_peer", "capability_id": "mechanical.statics.beam_deflection", "evidence_digest": "c9388cb0380b4229d2e67a0923281e6c0a1d19f528df5f858bbd6ad6f49f4b47", "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/1.0.0.cvp.json" }, { "name": "mechanical.statics.cantilever_deflection", "version": "1.0.0", "role": "cross_calculator_peer", "capability_id": "mechanical.statics.cantilever_deflection", "evidence_digest": "629d3f54a886124066102859308daba0b25cb948b3ce332af50df3215600ca31", "evidence": "https://www.calculatorx.com/evidence/mechanical.statics.cantilever_deflection/1.0.0.cvp.json" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "3e87d65fe7a9859d4e2296ea65071c617c3ad41c798fcda1f5837b03b9178152", "attested_at": "2026-09-27T10:07:56.670Z", "last_confirmed_current_at": "2026-09-27T21:30:18.892Z", "site_attestation_current": false, "capability_attestation_current": true, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-09-27T21:30:18.892Z", "live_updated_at": "2026-09-27T21:30:20.255Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-09-27T21:30:18.892Z", "site_stale_count": 168 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 168, "site_stale_capability_count": 168, "evidence_attested_at": "2026-09-27T10:07:56.670Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.1.0", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-09-27T10:07:56.670Z", "generated_at": "2026-09-27T10:07:56.670Z", "rendered_at": "2026-09-27T21:30:48.354Z", "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": 5, "total": 5, "failed": 0 }, "boundary": { "passed": 2, "total": 2, "failed": 0 }, "invalid": { "passed": 6, "total": 6, "failed": 0, "comparison": "exact_error_match" }, "property": { "passed": 5, "total": 5, "failed": 0, "kind": "fixed", "claim_scope": "Composition properties: superposition, load-order, load/EI scaling, sign reversal, under_load binding, midspan check δ=80." }, "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 }, "cross_calculator": { "passed": 2, "total": 2, "failed": 0 }, "o3": { "passed": 24, "total": 24, "failed": 0, "claim_scope": "O2: delta vs composed Layer-A separate-module identities (≤2 ULP). Multi-load is Σ δ_i. Not FEM, not indeterminate, not generic multi-load max. ≤2 ULP vs O3 applies only to tabulated Layer-A partitions projected from published leaf mpmath tables (simply_supported×point×midspan, cantilever×point×tip, simply_supported×uniform×midspan). Multi-load composition is out of O3 claim scope.", "max_error_ulp": 1, "table_sha256": "ac85afeb2106dd775e07c517629996243e2a59b8a3f2760d5e262c84a0bd27ac" } }, "numerical": { "representation": "IEEE-754 binary64", "tolerance": { "type": "ulp", "value": 2, "rationale": "Independent beam.deflection composition vs IUT. ≤2 ULP declared a priori.", "declared_before_evaluation": true }, "max_error_observed": 1, "claim_scope": "O2: delta vs composed Layer-A separate-module identities (≤2 ULP). Multi-load is Σ δ_i. Not FEM, not indeterminate, not generic multi-load max. ≤2 ULP vs O3 applies only to tabulated Layer-A partitions projected from published leaf mpmath tables (simply_supported×point×midspan, cantilever×point×tip, simply_supported×uniform×midspan). Multi-load composition is out of O3 claim scope." }, "coverage": { "partitions": [ { "id": "ss-point-midspan", "description": "simply_supported point midspan", "exercised": true, "case_count": 15 }, { "id": "cantilever-tip", "description": "cantilever tip point", "exercised": true, "case_count": 11 }, { "id": "composition", "description": "multi-load superposition", "exercised": true, "case_count": 2 }, { "id": "signed", "description": "negative P", "exercised": true, "case_count": 3 }, { "id": "invalid-domain", "description": "invalid loads / E / max / under_load", "exercised": true, "case_count": 6 } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Mechanical Beam Deflection" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Partitioned Layer-A mpmath tables (contract projection)", "engine": { "name": "beam-deflection-contract-partitioned-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": "f84f2547104951ea3db963d2dcdfd8dab72a415796702c4ff180c4882f4be663", "table_sha256": "ac85afeb2106dd775e07c517629996243e2a59b8a3f2760d5e262c84a0bd27ac" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same partitioned O3 tables vs IUT; ≤2 ULP on tabulated Layer-A vectors only", "engine": { "name": "beam-deflection-contract-partitioned-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": "f84f2547104951ea3db963d2dcdfd8dab72a415796702c4ff180c4882f4be663", "table_sha256": "ac85afeb2106dd775e07c517629996243e2a59b8a3f2760d5e262c84a0bd27ac" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module mechanical.beam.deflection composition oracle", "engine": { "name": "beam-deflection-contract-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs ≤2 ULP delta comparison", "engine": { "name": "beam-deflection-contract-reference", "precision_bits": 53, "independent_of_iut": true } } ] }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/mechanical.beam.deflection/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/mechanical.beam.deflection/1.1.0", "calculator": "https://www.calculatorx.com", "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/mechanical.beam.deflection/1.1.0.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/mechanical.beam.deflection/1.1.0/2026-09-27.o2-o3.parent.v11.ri.cvp.json", "reproduce": "https://www.calculatorx.com/evidence/mechanical.beam.deflection/reproduce", "manifest_core": "https://www.calculatorx.com/evidence/mechanical.beam.deflection/1.1.0/2026-09-27.o2-o3.parent.v11.ri.3f54eaf621a9.cvp.json" }, "disclosure": { "policy": "calculatorx-public-evidence-v1", "full_validation": "private", "representation": "summary" } }