{
  "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": "beam-deflection",
    "version": "1.0.0",
    "title": "Beam Deflection",
    "formula_family": "beam_deflection",
    "capability_id": "mechanical.statics.beam_deflection",
    "verification_revision": "2026-09-27.o2-o3"
  },
  "profile": "engineering",
  "verified_scope": "Simply supported midspan δ = P L³/(48 E I); + O3 mpmath tabulated δ.",
  "deferred_scope": "Not a cantilever, not a distributed load, and not an indeterminate beam.",
  "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": "20.19.2",
    "numeric_model": "IEEE-754 binary64",
    "os": "darwin"
  },
  "suite": {
    "id": "beam-deflection",
    "version": "1.0.0",
    "uri": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/1.0.0.json",
    "verification_revision": "2026-09-27.o2-o3"
  },
  "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": "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"
      }
    ]
  },
  "reference": {
    "items": [
      {
        "class": "O1",
        "reference_scope": "model",
        "scope": "model",
        "label": "Beam Deflection"
      },
      {
        "class": "O3",
        "reference_scope": "expected_values",
        "scope": "expected_values",
        "label": "Precomputed mpmath beam-deflection (80 dps)",
        "engine": {
          "name": "beam-deflection-mpmath-o3",
          "precision_bits": 265,
          "independent_of_iut": true,
          "same_runtime_as_iut": false,
          "library": "mpmath 1.4.1",
          "mpmath_dps": 80,
          "generator_version": "1.0.0",
          "generator_sha256": "f84f2547104951ea3db963d2dcdfd8dab72a415796702c4ff180c4882f4be663",
          "table_sha256": "ac85afeb2106dd775e07c517629996243e2a59b8a3f2760d5e262c84a0bd27ac",
          "seed": "20260927.beam-deflection-o3",
          "source": "https://www.calculatorx.com/developers/cvp/reproduce/beam-deflection-o3-tables.json",
          "public_table": "/developers/cvp/reproduce/beam-deflection-o3-tables.json",
          "public_generator": "/developers/cvp/reproduce/generate-beam-deflection-o3.py"
        }
      },
      {
        "class": "O3",
        "reference_scope": "numerical_behavior",
        "scope": "numerical_behavior",
        "label": "Same O3 table vs IUT flow; ≤2 ULP on tabulated vectors only",
        "engine": {
          "name": "beam-deflection-mpmath-o3",
          "precision_bits": 265,
          "independent_of_iut": true,
          "same_runtime_as_iut": false,
          "library": "mpmath 1.4.1",
          "mpmath_dps": 80,
          "generator_version": "1.0.0",
          "generator_sha256": "f84f2547104951ea3db963d2dcdfd8dab72a415796702c4ff180c4882f4be663",
          "table_sha256": "ac85afeb2106dd775e07c517629996243e2a59b8a3f2760d5e262c84a0bd27ac",
          "seed": "20260927.beam-deflection-o3",
          "source": "https://www.calculatorx.com/developers/cvp/reproduce/beam-deflection-o3-tables.json",
          "public_table": "/developers/cvp/reproduce/beam-deflection-o3-tables.json",
          "public_generator": "/developers/cvp/reproduce/generate-beam-deflection-o3.py"
        }
      },
      {
        "class": "O2",
        "reference_scope": "expected_values",
        "scope": "expected_values",
        "label": "Separate-module beam-deflection oracle",
        "engine": {
          "name": "beam-deflection-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-reference",
          "precision_bits": 53,
          "independent_of_iut": true
        }
      }
    ],
    "notes": "Golden expected values use a separate O2 module (not IUT transcription). O2 shares Node/V8 binary64 with the IUT unless noted otherwise."
  },
  "controls": {
    "CVP-PROV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "Sources present on evidence"
    },
    "CVP-MODEL-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "delta identity; O3 tabulated"
    },
    "CVP-SCOPE-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "O3 tabulated vectors only."
    },
    "CVP-UNIT-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "P is N. L is m. E is Pa. I is m⁴. δ is m."
    },
    "CVP-REF-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "O1 + O2 + O3"
    },
    "CVP-GOLD-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "2/2 legacy golden; 4/4 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 + 2/2 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": "5/5 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 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": "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=5f26825d06766888502f8c66b8e774f1d2c117d79d35add8eac32756335ab114 · previous live site report said CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-09-24T10:09:46.472Z · Live production status STALE (203 capabilities; 232 remain CURRENT) @ 2026-09-27T00:37:28.979Z · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.0 · 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 · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=36b20a13ec97ef1e6a76802f1f86b4d6a2b04374a7d11e4f0d3d10a2308804fa · verified_at=2026-09-27T00:37:30.056Z · evidence_attested_at=2026-09-27T00:37:30.056Z · last_confirmed_current_at=2026-09-27T00:37:30.056Z · rendered_at=2026-09-27T00:37:30.056Z · binds=cvp_core_sha256 · attestation snapshot core e21b7482734b ≠ live cvp_core_sha256 c9388cb0380b (2026-09-27.o2-o3)",
      "check_result": "PASS",
      "production_state": "STALE",
      "binding_current": false
    },
    "CVP-DIM-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "Midspan deflection"
    },
    "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: delta vs a separate-module identity (≤2 ULP). Not a cantilever, not a distributed load, and not an indeterminate beam. ≤2 ULP vs O3 applies only to the published tabulated beam-deflection vectors."
    },
    "CVP-EXP-01": {
      "result": "SKIP",
      "applicability": "optional",
      "notes": "named expert review not performed"
    }
  },
  "tests": {
    "golden": {
      "passed": 4,
      "total": 4,
      "failed": 0,
      "case_ids": [
        "g-check",
        "g-SI",
        "g-alias",
        "g-neg"
      ]
    },
    "boundary": {
      "passed": 2,
      "total": 2,
      "failed": 0,
      "case_ids": [
        "boundary-zero-span",
        "boundary-missing"
      ]
    },
    "invalid": {
      "passed": 4,
      "total": 4,
      "failed": 0,
      "case_ids": [
        "boundary-zero-span",
        "boundary-missing",
        "inv-L",
        "inv-E"
      ],
      "comparison": "exact_error_match",
      "records": [
        {
          "id": "inv-L",
          "comparison": "exact_error_match",
          "expected": {
            "code": "VALUE_MUST_BE_POSITIVE"
          },
          "actual": {
            "code": "VALUE_MUST_BE_POSITIVE"
          },
          "match": true
        },
        {
          "id": "inv-E",
          "comparison": "exact_error_match",
          "expected": {
            "code": "VALUE_MUST_BE_POSITIVE"
          },
          "actual": {
            "code": "VALUE_MUST_BE_POSITIVE"
          },
          "match": true
        }
      ]
    },
    "property": {
      "passed": 1,
      "total": 1,
      "failed": 0,
      "case_ids": [
        "prop-check"
      ],
      "kind": "fixed",
      "claim_scope": "P=480, L=2, E=1, I=1 gives δ=80.",
      "definition_ids": [
        "check-vector"
      ]
    },
    "round_trip": {
      "passed": 0,
      "total": 0,
      "failed": 0,
      "case_ids": []
    },
    "metamorphic": {
      "passed": 1,
      "total": 1,
      "failed": 0,
      "case_ids": [
        "meta-scale"
      ],
      "definition_ids": [
        "scale-primary"
      ]
    },
    "contract": {
      "passed": 6,
      "total": 6,
      "failed": 0
    },
    "cross_interface": {
      "passed": 2,
      "total": 2,
      "failed": 0,
      "case_ids": [
        "iface-1",
        "iface-err"
      ]
    },
    "o3": {
      "passed": 8,
      "total": 8,
      "failed": 0,
      "case_ids": [
        "o3-check",
        "o3-SI",
        "o3-alias",
        "o3-awkward",
        "o3-neg",
        "o3-small",
        "o3-stiff",
        "o3-long"
      ],
      "generator_id": "beam-deflection-mpmath-o3",
      "seed": "20260927.beam-deflection-o3",
      "table_sha256": "ac85afeb2106dd775e07c517629996243e2a59b8a3f2760d5e262c84a0bd27ac",
      "max_error_ulp": 1,
      "reproduce": "python3 generate-beam-deflection-o3.py",
      "table_url": "/developers/cvp/reproduce/beam-deflection-o3-tables.json",
      "generator_url": "/developers/cvp/reproduce/generate-beam-deflection-o3.py",
      "claim_scope": "O2: delta vs a separate-module identity (≤2 ULP). Not a cantilever, not a distributed load, and not an indeterminate beam. ≤2 ULP vs O3 applies only to the published tabulated beam-deflection vectors.",
      "reproduce_url": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/reproduce"
    }
  },
  "coverage": {
    "partitions": [
      {
        "id": "midspan",
        "description": "P L E I",
        "exercised": true,
        "case_count": 14
      },
      {
        "id": "alias",
        "description": "load/span aliases",
        "exercised": true,
        "case_count": 2
      },
      {
        "id": "signed",
        "description": "negative P",
        "exercised": true,
        "case_count": 3
      },
      {
        "id": "awkward",
        "description": "non-integer P",
        "exercised": true,
        "case_count": 1
      },
      {
        "id": "invalid-domain",
        "description": "non-positive L/E/I",
        "exercised": true,
        "case_count": 4
      }
    ]
  },
  "numerical": {
    "representation": "IEEE-754 binary64",
    "claim_scope": "O2: delta vs a separate-module identity (≤2 ULP). Not a cantilever, not a distributed load, and not an indeterminate beam. ≤2 ULP vs O3 applies only to the published tabulated beam-deflection vectors.",
    "tolerance": {
      "type": "ulp",
      "value": 2,
      "rationale": "Independent beam-deflection identity vs IUT. ≤2 ULP declared a priori.",
      "declared_before_evaluation": true
    },
    "max_error_observed": 1,
    "records": [
      {
        "id": "g-check",
        "reference": {
          "model": "beam_deflection",
          "P": 480,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": 80,
          "solver": "simply supported midspan"
        },
        "actual": {
          "model": "beam_deflection",
          "P": 480,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": 80,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "golden"
      },
      {
        "id": "g-SI",
        "reference": {
          "model": "beam_deflection",
          "P": 1000,
          "L": 4,
          "E": 200000000000,
          "I": 0.00001,
          "delta": 0.0006666666666666665,
          "solver": "simply supported midspan"
        },
        "actual": {
          "model": "beam_deflection",
          "P": 1000,
          "L": 4,
          "E": 200000000000,
          "I": 0.00001,
          "delta": 0.0006666666666666665,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "golden"
      },
      {
        "id": "g-alias",
        "reference": {
          "model": "beam_deflection",
          "P": 960,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": 160,
          "solver": "simply supported midspan"
        },
        "actual": {
          "model": "beam_deflection",
          "P": 960,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": 160,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "golden"
      },
      {
        "id": "g-neg",
        "reference": {
          "model": "beam_deflection",
          "P": -480,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": -80,
          "solver": "simply supported midspan"
        },
        "actual": {
          "model": "beam_deflection",
          "P": -480,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": -80,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "golden"
      },
      {
        "id": "meta-scale",
        "reference": 2,
        "actual": 2,
        "error_ulp": 0,
        "threshold_ulp": 2,
        "suite": "metamorphic",
        "hops": {
          "base": {
            "reference": {
              "model": "beam_deflection",
              "P": 480,
              "L": 2,
              "E": 1,
              "I": 1,
              "delta": 80,
              "solver": "simply supported midspan"
            },
            "actual": {
              "model": "beam_deflection",
              "P": 480,
              "L": 2,
              "E": 1,
              "I": 1,
              "delta": 80,
              "solver": "simply supported midspan",
              "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
            },
            "error_ulp": 0
          },
          "follow": {
            "reference": {
              "model": "beam_deflection",
              "P": 960,
              "L": 2,
              "E": 1,
              "I": 1,
              "delta": 160,
              "solver": "simply supported midspan"
            },
            "actual": {
              "model": "beam_deflection",
              "P": 960,
              "L": 2,
              "E": 1,
              "I": 1,
              "delta": 160,
              "solver": "simply supported midspan",
              "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
            },
            "error_ulp": 0
          },
          "relation": {
            "reference": 2,
            "actual": 2,
            "error_ulp": 0
          }
        }
      },
      {
        "id": "o3-check",
        "reference": {
          "oracle_layer": "analytic",
          "delta": 80,
          "P": 480,
          "L": 2,
          "E": 1,
          "I": 1
        },
        "actual": {
          "model": "beam_deflection",
          "P": 480,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": 80,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-SI",
        "reference": {
          "oracle_layer": "analytic",
          "delta": 0.0006666666666666666,
          "P": 1000,
          "L": 4,
          "E": 200000000000,
          "I": 0.00001
        },
        "actual": {
          "model": "beam_deflection",
          "P": 1000,
          "L": 4,
          "E": 200000000000,
          "I": 0.00001,
          "delta": 0.0006666666666666665,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 1,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 1
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-alias",
        "reference": {
          "oracle_layer": "analytic",
          "delta": 160,
          "P": 960,
          "L": 2,
          "E": 1,
          "I": 1
        },
        "actual": {
          "model": "beam_deflection",
          "P": 960,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": 160,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-awkward",
        "reference": {
          "oracle_layer": "analytic",
          "delta": 0.0007020791499330656,
          "P": 137,
          "L": 3.5,
          "E": 210000,
          "I": 0.83
        },
        "actual": {
          "model": "beam_deflection",
          "P": 137,
          "L": 3.5,
          "E": 210000,
          "I": 0.83,
          "delta": 0.0007020791499330656,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-neg",
        "reference": {
          "oracle_layer": "analytic",
          "delta": -80,
          "P": -480,
          "L": 2,
          "E": 1,
          "I": 1
        },
        "actual": {
          "model": "beam_deflection",
          "P": -480,
          "L": 2,
          "E": 1,
          "I": 1,
          "delta": -80,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-small",
        "reference": {
          "oracle_layer": "analytic",
          "delta": 0.020833333333333332,
          "P": 10,
          "L": 1,
          "E": 1000,
          "I": 0.01
        },
        "actual": {
          "model": "beam_deflection",
          "P": 10,
          "L": 1,
          "E": 1000,
          "I": 0.01,
          "delta": 0.020833333333333332,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-stiff",
        "reference": {
          "oracle_layer": "analytic",
          "delta": 0.00006696428571428572,
          "P": 5000,
          "L": 3,
          "E": 210000000000,
          "I": 0.0002
        },
        "actual": {
          "model": "beam_deflection",
          "P": 5000,
          "L": 3,
          "E": 210000000000,
          "I": 0.0002,
          "delta": 0.00006696428571428572,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
          },
          "L": {
            "ok": true,
            "error_ulp": 0
          },
          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
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        },
        "suite": "o3"
      },
      {
        "id": "o3-long",
        "reference": {
          "oracle_layer": "analytic",
          "delta": 0.0006095238095238095,
          "P": 200,
          "L": 8,
          "E": 70000000000,
          "I": 0.00005
        },
        "actual": {
          "model": "beam_deflection",
          "P": 200,
          "L": 8,
          "E": 70000000000,
          "I": 0.00005,
          "delta": 0.0006095238095238095,
          "solver": "simply supported midspan",
          "convention": "Simply supported span with one concentrated load at midspan. δ = P L³/(48 E I). Positive P is the positive deflection direction. I is an input. A cantilever and a distributed load are their own pages."
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "delta": {
            "ok": true,
            "error_ulp": 0
          },
          "P": {
            "ok": true,
            "error_ulp": 0
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          "L": {
            "ok": true,
            "error_ulp": 0
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          "E": {
            "ok": true,
            "error_ulp": 0
          },
          "I": {
            "ok": true,
            "error_ulp": 0
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        },
        "suite": "o3"
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    ]
  },
  "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": {
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    "evidence_digest": "c9388cb0380b4229d2e67a0923281e6c0a1d19f528df5f858bbd6ad6f49f4b47",
    "production_sha256": "36b20a13ec97ef1e6a76802f1f86b4d6a2b04374a7d11e4f0d3d10a2308804fa",
    "attested_catalog_sha256": "416608b7efe51524f7de1157d0db4f6847e390a8419dd0f8de74156eb915f129",
    "production_checks": [
      {
        "id": "mechanical.statics.beam_deflection:output-const",
        "status": "pass",
        "detail": "output const 1.0.0 vs capability 1.0.0",
        "scope": "last_attestation_snapshot",
        "current": false,
        "attestation_binding_current": false,
        "attested_at": "2026-09-27T00:37:30.056Z",
        "attestation_revision": "core"
      },
      {
        "id": "mechanical.statics.beam_deflection:evidence-sha256",
        "status": "pass",
        "detail": "071544045fd8",
        "scope": "last_attestation_snapshot",
        "current": false,
        "attestation_binding_current": false,
        "attested_at": "2026-09-27T00:37:30.056Z",
        "attestation_revision": "core"
      },
      {
        "id": "mechanical.statics.beam_deflection:semantic-contract",
        "status": "pass",
        "detail": "4/4",
        "scope": "last_attestation_snapshot",
        "current": false,
        "attestation_binding_current": false,
        "attested_at": "2026-09-27T00:37:30.056Z",
        "attestation_revision": "core"
      },
      {
        "id": "mechanical.statics.beam_deflection:capability-html-public-origin-agree",
        "status": "pass",
        "detail": "public 1.0.0 vs origin 1.0.0",
        "scope": "last_attestation_snapshot",
        "current": false,
        "attestation_binding_current": false,
        "attested_at": "2026-09-27T00:37:30.056Z",
        "attestation_revision": "core"
      },
      {
        "id": "mechanical.statics.beam_deflection:cvp-manifest-public-origin-agree",
        "status": "pass",
        "detail": "mechanical.statics.beam_deflection/1.0.0/2026-09-27.o2-o3/engineering/c9388cb0380b",
        "scope": "last_attestation_snapshot",
        "current": false,
        "attestation_binding_current": false,
        "attested_at": "2026-09-27T00:37:30.056Z",
        "attestation_revision": "core",
        "projection_compared": false
      },
      {
        "id": "mechanical.statics.beam_deflection:cvp-latest-alias-agrees",
        "status": "pass",
        "detail": "mechanical.statics.beam_deflection/1.0.0/2026-09-27.o2-o3/engineering/c9388cb0380b",
        "scope": "last_attestation_snapshot",
        "current": false,
        "attestation_binding_current": false,
        "attested_at": "2026-09-27T00:37:30.056Z",
        "attestation_revision": "core",
        "projection_compared": false
      },
      {
        "id": "mechanical.statics.beam_deflection:calculator-html-cvp-projection",
        "status": "pass",
        "detail": "matches Trust display",
        "scope": "last_attestation_snapshot",
        "current": false,
        "attestation_binding_current": false,
        "attested_at": "2026-09-27T00:37:30.056Z",
        "attestation_revision": "core"
      },
      {
        "id": "mechanical.statics.beam_deflection:evidence-html-cvp-projection",
        "status": "pass",
        "detail": "matches Trust display",
        "scope": "last_attestation_snapshot",
        "current": false,
        "attestation_binding_current": false,
        "attested_at": "2026-09-27T00:37:30.056Z",
        "attestation_revision": "core"
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    ],
    "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",
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          "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": "c9388cb0380b4229d2e67a0923281e6c0a1d19f528df5f858bbd6ad6f49f4b47",
          "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": "071544045fd82c2de9ddb46b2e4ab6ad1007b0acc1f4d4a3745a40677c5e6b65",
          "note": "Published Evidence JSON core — Trust freshness / production bind subject"
        },
        {
          "name": "evidence_catalog_digest",
          "field": "artifacts.attested_catalog_sha256",
          "digest_scope": "capability_catalog",
          "value": "416608b7efe51524f7de1157d0db4f6847e390a8419dd0f8de74156eb915f129",
          "note": "Capability catalog integrity; site-wide, not per-suite fingerprint"
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    "cvp_core_sha256": "c9388cb0380b4229d2e67a0923281e6c0a1d19f528df5f858bbd6ad6f49f4b47"
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  "dependencies": [
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      "name": "beam-deflection-engine",
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    },
    {
      "name": "beam-deflection-reference-oracle",
      "version": "1.0.0"
    },
    {
      "name": "beam-deflection-mpmath-o3-table",
      "version": "beam-deflection-mpmath-o3"
    },
    {
      "name": "node",
      "version": "20.19.2"
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    "attested_at": "2026-09-27T00:37:30.056Z",
    "last_confirmed_current_at": "2026-09-27T00:37:30.056Z",
    "site_attestation_current": false,
    "capability_attestation_current": false,
    "bound_snapshot_status": "pass",
    "live_report_status": "stale",
    "bound_attested_at": "2026-09-24T10:09:46.472Z",
    "live_updated_at": "2026-09-27T00:37:28.979Z",
    "bound_snapshot": {
      "status": "pass",
      "attested_at": "2026-09-24T10:09:46.472Z",
      "site_stale_count": 203
    },
    "live_site_status": {
      "href": "/.well-known/calculatorx-production-attestation.json"
    },
    "bound_snapshot_site_stale_count": 203,
    "site_stale_capability_count": 203,
    "evidence_attested_at": "2026-09-27T00:37:30.056Z",
    "stale_reason": "attestation snapshot core e21b7482734b ≠ live cvp_core_sha256 c9388cb0380b (2026-09-27.o2-o3)"
  },
  "domain_review": {
    "status": "ABSENT",
    "spec_version": "1.0.0",
    "external_third_party": false,
    "note": "Named expert review not performed"
  },
  "timestamps": {
    "verified_at": "2026-09-27T00:37:30.056Z",
    "generated_at": "2026-09-27T00:37:30.056Z",
    "rendered_at": "2026-09-27T00:37:30.056Z",
    "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."
  },
  "links": {
    "legacy_evidence": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/1.0.0.json",
    "evidence_page": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/1.0.0",
    "calculator": "https://www.calculatorx.com/calc/physics/beam-deflection",
    "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.statics.beam_deflection/1.0.0.cvp.json",
    "manifest_immutable": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/1.0.0/2026-09-27.o2-o3.cvp.json",
    "reproduce": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/reproduce",
    "o3_table": "https://www.calculatorx.com/developers/cvp/reproduce/beam-deflection-o3-tables.json",
    "o3_generator": "https://www.calculatorx.com/developers/cvp/reproduce/generate-beam-deflection-o3.py",
    "manifest_core": "https://www.calculatorx.com/evidence/mechanical.statics.beam_deflection/1.0.0/2026-09-27.o2-o3.c9388cb0380b.cvp.json"
  }
}