{
  "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": "accuracy",
    "version": "1.0.1",
    "title": "Measurement bias",
    "formula_family": "measurement-accuracy",
    "capability_id": "engineering.measurement.accuracy",
    "verification_revision": "2026-09-25.o2-o3"
  },
  "profile": "engineering",
  "verified_scope": "Signed bias x̄ − xm from repeats on a master, + O3 mpmath tabulated bias.",
  "deferred_scope": "Not Type A uncertainty and not a single-shot measurement error.",
  "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": "accuracy",
    "version": "1.0.1",
    "uri": "https://www.calculatorx.com/evidence/engineering.measurement.accuracy/1.0.1.json",
    "verification_revision": "2026-09-25.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": "JCGM 200:2012 — International vocabulary of metrology (VIM)",
        "kind": "standard",
        "reference": "2.13 measurement accuracy; 2.14 measurement trueness; 2.18 measurement bias",
        "url": "https://www.bipm.org/en/publications/guides/vim.html"
      },
      {
        "label": "ISO 5725-1 — Accuracy (trueness and precision) of measurement methods and results",
        "kind": "standard",
        "reference": "Trueness as bias of the mean versus a reference"
      }
    ]
  },
  "reference": {
    "items": [
      {
        "class": "O1",
        "reference_scope": "model",
        "scope": "model",
        "label": "VIM trueness bias"
      },
      {
        "class": "O3",
        "reference_scope": "expected_values",
        "scope": "expected_values",
        "label": "Precomputed mpmath bias (80 dps)",
        "engine": {
          "name": "measurement-accuracy-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": "84cb788992119c350dca0f7a7ad5f54cc2ab706527fde7fdc52672b12712c9c3",
          "table_sha256": "c1b8d10220e320e37a33829a7b05b2eff31935a0ef996f7a648bcdbc0e0353ee",
          "seed": "20260925.measurement-accuracy-o3",
          "source": "https://www.calculatorx.com/developers/cvp/reproduce/measurement-accuracy-o3-tables.json",
          "public_table": "/developers/cvp/reproduce/measurement-accuracy-o3-tables.json",
          "public_generator": "/developers/cvp/reproduce/generate-measurement-accuracy-o3.py"
        }
      },
      {
        "class": "O3",
        "reference_scope": "numerical_behavior",
        "scope": "numerical_behavior",
        "label": "Same O3 table vs IUT bias; ≤2 ULP on tabulated vectors only",
        "engine": {
          "name": "measurement-accuracy-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": "84cb788992119c350dca0f7a7ad5f54cc2ab706527fde7fdc52672b12712c9c3",
          "table_sha256": "c1b8d10220e320e37a33829a7b05b2eff31935a0ef996f7a648bcdbc0e0353ee",
          "seed": "20260925.measurement-accuracy-o3",
          "source": "https://www.calculatorx.com/developers/cvp/reproduce/measurement-accuracy-o3-tables.json",
          "public_table": "/developers/cvp/reproduce/measurement-accuracy-o3-tables.json",
          "public_generator": "/developers/cvp/reproduce/generate-measurement-accuracy-o3.py"
        }
      },
      {
        "class": "O2",
        "reference_scope": "expected_values",
        "scope": "expected_values",
        "label": "Separate-module bias oracle",
        "engine": {
          "name": "measurement-accuracy-reference",
          "precision_bits": 53,
          "independent_of_iut": true
        }
      },
      {
        "class": "O2",
        "reference_scope": "numerical_behavior",
        "scope": "numerical_behavior",
        "label": "Same O2 module backs ≤2 ULP bias comparison",
        "engine": {
          "name": "measurement-accuracy-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": "Bias from a sample; O3 tabulated bias"
    },
    "CVP-SCOPE-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "Not Type A. O3 tabulated vectors only."
    },
    "CVP-UNIT-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "The sample and xm share one implied unit."
    },
    "CVP-REF-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "O1 + O2 + O3"
    },
    "CVP-GOLD-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "1/1 legacy golden; 4/4 oracle-backed numeric"
    },
    "CVP-BND-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "4/4 CVP boundary · 4/4 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=2; policy declared a priori"
    },
    "CVP-COV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "6/6 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 accuracy; 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 @ 2026-09-29T02:57:46.783Z · live site-wide report stale @ 2026-09-29T02:57:53.635Z (82 other capabilities) · local checks pass · attestation_id=32b8c8fc001c8156e721d1985f9285c24b4eb39419f1b706b7f4999d46ee806a · This calculator CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-09-29T02:57:46.783Z · Live production status STALE (82 capabilities; 293 remain CURRENT) @ 2026-09-29T02:57:53.635Z · Public schema 1.0.1 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.1 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-latest-alias-agrees=pass · cvp-immutable-manifest-fetch=pass · cvp-immutable-manifest-sha256=pass · cvp-latest-alias-matches-immutable=pass · cvp-reproduce-manifest-agree=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=1d85769a84c3c2dae1be22be2327b7597b376eab7bd4215d31b26b062abb3454 · verified_at=2026-09-24T22:06:19.759Z · evidence_attested_at=2026-09-24T22:06:19.759Z · last_confirmed_current_at=2026-09-29T02:57:46.783Z · rendered_at=2026-09-29T02:57:53.830Z · binds=cvp_core_sha256",
      "check_result": "PASS",
      "production_state": "CURRENT",
      "binding_current": true
    },
    "CVP-DIM-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "Signed bias in the reading unit"
    },
    "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: signed bias vs a separate-module sample identity (≤2 ULP). Not Type A u_A and not a single-shot error. ≤2 ULP vs O3 applies only to the published tabulated bias vectors. Not Type A uncertainty."
    },
    "CVP-EXP-01": {
      "result": "SKIP",
      "applicability": "optional",
      "notes": "named expert review not performed"
    }
  },
  "tests": {
    "golden": {
      "passed": 4,
      "total": 4,
      "failed": 0,
      "case_ids": [
        "g-low",
        "g-zero",
        "g-alias",
        "g-awkward"
      ]
    },
    "boundary": {
      "passed": 4,
      "total": 4,
      "failed": 0,
      "case_ids": [
        "boundary-acc-zero",
        "boundary-acc-flat",
        "boundary-acc-n1",
        "boundary-acc-missing"
      ]
    },
    "invalid": {
      "passed": 4,
      "total": 4,
      "failed": 0,
      "case_ids": [
        "boundary-acc-n1",
        "boundary-acc-missing",
        "inv-missing",
        "inv-short"
      ],
      "comparison": "exact_error_match",
      "records": [
        {
          "id": "inv-missing",
          "comparison": "exact_error_match",
          "expected": {
            "code": "MISSING_REQUIRED_INPUT"
          },
          "actual": {
            "code": "MISSING_REQUIRED_INPUT"
          },
          "match": true
        },
        {
          "id": "inv-short",
          "comparison": "exact_error_match",
          "expected": {
            "code": "VALUE_OUT_OF_RANGE"
          },
          "actual": {
            "code": "VALUE_OUT_OF_RANGE"
          },
          "match": true
        }
      ]
    },
    "property": {
      "passed": 1,
      "total": 1,
      "failed": 0,
      "case_ids": [
        "prop-one"
      ],
      "kind": "fixed",
      "claim_scope": "Enumerated identity: values 6, 7, 8 and xm 8 give bias = −1 and s = 1.",
      "definition_ids": [
        "six-seven-eight-against-eight-is-minus-one"
      ]
    },
    "round_trip": {
      "passed": 0,
      "total": 0,
      "failed": 0,
      "case_ids": []
    },
    "metamorphic": {
      "passed": 1,
      "total": 1,
      "failed": 0,
      "case_ids": [
        "meta-master"
      ],
      "definition_ids": [
        "lowering-the-master-by-two-raises-bias-by-two"
      ]
    },
    "contract": {
      "passed": 6,
      "total": 6,
      "failed": 0
    },
    "cross_interface": {
      "passed": 2,
      "total": 2,
      "failed": 0,
      "case_ids": [
        "iface-low",
        "iface-missing"
      ]
    },
    "o3": {
      "passed": 8,
      "total": 8,
      "failed": 0,
      "case_ids": [
        "o3-low",
        "o3-zero",
        "o3-high",
        "o3-alias",
        "o3-flat",
        "o3-ddof0",
        "o3-awkward",
        "o3-wide"
      ],
      "generator_id": "measurement-accuracy-mpmath-o3",
      "seed": "20260925.measurement-accuracy-o3",
      "table_sha256": "c1b8d10220e320e37a33829a7b05b2eff31935a0ef996f7a648bcdbc0e0353ee",
      "max_error_ulp": 2,
      "reproduce": "python3 generate-measurement-accuracy-o3.py",
      "table_url": "/developers/cvp/reproduce/measurement-accuracy-o3-tables.json",
      "generator_url": "/developers/cvp/reproduce/generate-measurement-accuracy-o3.py",
      "claim_scope": "O2: signed bias vs a separate-module sample identity (≤2 ULP). Not Type A u_A and not a single-shot error. ≤2 ULP vs O3 applies only to the published tabulated bias vectors. Not Type A uncertainty.",
      "reproduce_url": "https://www.calculatorx.com/evidence/engineering.measurement.accuracy/reproduce"
    }
  },
  "coverage": {
    "partitions": [
      {
        "id": "alias",
        "description": "sample / X aliases",
        "exercised": true,
        "case_count": 2
      },
      {
        "id": "awkward",
        "description": "non-integer sample",
        "exercised": true,
        "case_count": 2
      },
      {
        "id": "ddof0",
        "description": "population standard deviation",
        "exercised": true,
        "case_count": 1
      },
      {
        "id": "low",
        "description": "mean below the master",
        "exercised": true,
        "case_count": 5
      },
      {
        "id": "zero",
        "description": "mean equal to the master",
        "exercised": true,
        "case_count": 5
      },
      {
        "id": "high",
        "description": "mean above the master",
        "exercised": true,
        "case_count": 2
      },
      {
        "id": "invalid-domain",
        "description": "missing master or a one-point sample",
        "exercised": true,
        "case_count": 4
      }
    ]
  },
  "numerical": {
    "representation": "IEEE-754 binary64",
    "claim_scope": "O2: signed bias vs a separate-module sample identity (≤2 ULP). Not Type A u_A and not a single-shot error. ≤2 ULP vs O3 applies only to the published tabulated bias vectors. Not Type A uncertainty.",
    "tolerance": {
      "type": "ulp",
      "value": 2,
      "rationale": "Independent sample identity vs IUT. ≤2 ULP declared a priori.",
      "declared_before_evaluation": true
    },
    "max_error_observed": 2,
    "records": [
      {
        "id": "g-low",
        "reference": {
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1,
          "values": [
            6,
            7,
            8
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "golden"
      },
      {
        "id": "g-zero",
        "reference": {
          "bias": 0,
          "abs_bias": 0,
          "xbar": 8,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": 0,
          "abs_bias": 0,
          "xbar": 8,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1,
          "values": [
            7,
            8,
            9
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "golden"
      },
      {
        "id": "g-alias",
        "reference": {
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1,
          "values": [
            6,
            7,
            8
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "golden"
      },
      {
        "id": "g-awkward",
        "reference": {
          "bias": -0.25,
          "abs_bias": 0.25,
          "xbar": 1.15,
          "s": 0.24999999999999994,
          "xm": 1.4,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": -0.25,
          "abs_bias": 0.25,
          "xbar": 1.15,
          "s": 0.24999999999999994,
          "xm": 1.4,
          "n": 3,
          "ddof": 1,
          "values": [
            0.9,
            1.15,
            1.4
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "golden"
      },
      {
        "id": "meta-master",
        "reference": 2,
        "actual": 2,
        "error_ulp": 0,
        "threshold_ulp": 2,
        "suite": "metamorphic",
        "hops": {
          "base": {
            "reference": {
              "bias": -1,
              "abs_bias": 1,
              "xbar": 7,
              "s": 1,
              "xm": 8,
              "n": 3,
              "ddof": 1
            },
            "actual": {
              "bias": -1,
              "abs_bias": 1,
              "xbar": 7,
              "s": 1,
              "xm": 8,
              "n": 3,
              "ddof": 1,
              "values": [
                6,
                7,
                8
              ]
            },
            "error_ulp": 0
          },
          "follow": {
            "reference": {
              "bias": 1,
              "abs_bias": 1,
              "xbar": 7,
              "s": 1,
              "xm": 6,
              "n": 3,
              "ddof": 1
            },
            "actual": {
              "bias": 1,
              "abs_bias": 1,
              "xbar": 7,
              "s": 1,
              "xm": 6,
              "n": 3,
              "ddof": 1,
              "values": [
                6,
                7,
                8
              ]
            },
            "error_ulp": 0
          },
          "relation": {
            "reference": 2,
            "actual": 2,
            "error_ulp": 0
          }
        }
      },
      {
        "id": "o3-low",
        "reference": {
          "oracle_layer": "analytic",
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1,
          "values": [
            6,
            7,
            8
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-zero",
        "reference": {
          "oracle_layer": "analytic",
          "bias": 0,
          "abs_bias": 0,
          "xbar": 8,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": 0,
          "abs_bias": 0,
          "xbar": 8,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1,
          "values": [
            7,
            8,
            9
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-high",
        "reference": {
          "oracle_layer": "analytic",
          "bias": 1,
          "abs_bias": 1,
          "xbar": 9,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": 1,
          "abs_bias": 1,
          "xbar": 9,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1,
          "values": [
            8,
            9,
            10
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-alias",
        "reference": {
          "oracle_layer": "analytic",
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 1,
          "xm": 8,
          "n": 3,
          "ddof": 1,
          "values": [
            6,
            7,
            8
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-flat",
        "reference": {
          "oracle_layer": "analytic",
          "bias": 0,
          "abs_bias": 0,
          "xbar": 8,
          "s": 0,
          "xm": 8,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": 0,
          "abs_bias": 0,
          "xbar": 8,
          "s": 0,
          "xm": 8,
          "n": 3,
          "ddof": 1,
          "values": [
            8,
            8,
            8
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-ddof0",
        "reference": {
          "oracle_layer": "analytic",
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 0.816496580927726,
          "xm": 8,
          "n": 3,
          "ddof": 0
        },
        "actual": {
          "bias": -1,
          "abs_bias": 1,
          "xbar": 7,
          "s": 0.816496580927726,
          "xm": 8,
          "n": 3,
          "ddof": 0,
          "values": [
            6,
            7,
            8
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-awkward",
        "reference": {
          "oracle_layer": "analytic",
          "bias": -0.25,
          "abs_bias": 0.25,
          "xbar": 1.15,
          "s": 0.25,
          "xm": 1.4,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": -0.25,
          "abs_bias": 0.25,
          "xbar": 1.15,
          "s": 0.24999999999999994,
          "xm": 1.4,
          "n": 3,
          "ddof": 1,
          "values": [
            0.9,
            1.15,
            1.4
          ]
        },
        "error_ulp": 2,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 2
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      },
      {
        "id": "o3-wide",
        "reference": {
          "oracle_layer": "analytic",
          "bias": 2,
          "abs_bias": 2,
          "xbar": 6,
          "s": 4,
          "xm": 4,
          "n": 3,
          "ddof": 1
        },
        "actual": {
          "bias": 2,
          "abs_bias": 2,
          "xbar": 6,
          "s": 4,
          "xm": 4,
          "n": 3,
          "ddof": 1,
          "values": [
            2,
            6,
            10
          ]
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "bias": {
            "ok": true,
            "error_ulp": 0
          },
          "abs_bias": {
            "ok": true,
            "error_ulp": 0
          },
          "xbar": {
            "ok": true,
            "error_ulp": 0
          },
          "s": {
            "ok": true,
            "error_ulp": 0
          },
          "xm": {
            "ok": true,
            "error_ulp": 0
          },
          "n": {
            "ok": true,
            "error_ulp": 0
          },
          "ddof": {
            "ok": true,
            "error_ulp": 0
          }
        },
        "suite": "o3"
      }
    ]
  },
  "interfaces": {
    "compared": [
      "ui-ssr",
      "rest",
      "mcp"
    ],
    "result": "PASS",
    "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only."
  },
  "artifacts": {
    "evidence_bundle_sha256": "aa37c72f6f6e4fffdffc247ccabb1cb9dbc8504343627d75dae4d9348e150daa",
    "evidence_digest": "cc85d911931167cfe7dbadaf6ea388cc423d132aa3b05b69cb7976c2fe4db9cf",
    "production_sha256": "1d85769a84c3c2dae1be22be2327b7597b376eab7bd4215d31b26b062abb3454",
    "attested_catalog_sha256": "9821b7afa172f562d1bf6535638d38ab8e6044ea84139444872d6c19047d1d21",
    "production_checks": [
      {
        "id": "engineering.measurement.accuracy:output-const",
        "status": "pass",
        "detail": "output const 1.0.1 vs capability 1.0.1",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      },
      {
        "id": "engineering.measurement.accuracy:evidence-sha256",
        "status": "pass",
        "detail": "960940774318",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      },
      {
        "id": "engineering.measurement.accuracy:semantic-contract",
        "status": "pass",
        "detail": "9/9",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      },
      {
        "id": "engineering.measurement.accuracy:capability-html-public-origin-agree",
        "status": "pass",
        "detail": "public 1.0.1 vs origin 1.0.1",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      },
      {
        "id": "engineering.measurement.accuracy:cvp-manifest-public-origin-agree",
        "status": "pass",
        "detail": "engineering.measurement.accuracy/1.0.1/2026-09-25.o2-o3/engineering/cc85d9119311",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z",
        "projection_compared": false
      },
      {
        "id": "engineering.measurement.accuracy:cvp-latest-alias-agrees",
        "status": "pass",
        "detail": "engineering.measurement.accuracy/1.0.1/2026-09-25.o2-o3/engineering/cc85d9119311",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z",
        "projection_compared": false
      },
      {
        "id": "engineering.measurement.accuracy:cvp-immutable-manifest-fetch",
        "status": "pass",
        "detail": "public=200 origin=200",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      },
      {
        "id": "engineering.measurement.accuracy:cvp-immutable-manifest-sha256",
        "status": "pass",
        "detail": "cc85d9119311",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      },
      {
        "id": "engineering.measurement.accuracy:cvp-latest-alias-matches-immutable",
        "status": "pass",
        "detail": "engineering.measurement.accuracy/1.0.1/2026-09-25.o2-o3/engineering/cc85d9119311",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z",
        "projection_compared": false
      },
      {
        "id": "engineering.measurement.accuracy:cvp-reproduce-manifest-agree",
        "status": "pass",
        "detail": "2026-09-25.o2-o3 · c1b8d10220e3",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      },
      {
        "id": "engineering.measurement.accuracy:calculator-html-cvp-projection",
        "status": "pass",
        "detail": "matches Trust display",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      },
      {
        "id": "engineering.measurement.accuracy:evidence-html-cvp-projection",
        "status": "pass",
        "detail": "matches Trust display",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-24T22:06:19.759Z"
      }
    ],
    "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": "cc85d911931167cfe7dbadaf6ea388cc423d132aa3b05b69cb7976c2fe4db9cf",
          "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": "cc85d911931167cfe7dbadaf6ea388cc423d132aa3b05b69cb7976c2fe4db9cf",
          "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": "960940774318cee4c3c2dfc8d95fcbc8650791edb25fb0fc500a613ba9a922b7",
          "note": "Published Evidence JSON core — Trust freshness / production bind subject"
        },
        {
          "name": "evidence_catalog_digest",
          "field": "artifacts.attested_catalog_sha256",
          "digest_scope": "capability_catalog",
          "value": "9821b7afa172f562d1bf6535638d38ab8e6044ea84139444872d6c19047d1d21",
          "note": "Capability catalog integrity; site-wide, not per-suite fingerprint"
        }
      ]
    },
    "cvp_core_sha256": "cc85d911931167cfe7dbadaf6ea388cc423d132aa3b05b69cb7976c2fe4db9cf"
  },
  "dependencies": [
    {
      "name": "accuracy-engine",
      "version": "1.0.1"
    },
    {
      "name": "accuracy-reference-oracle",
      "version": "1.0.0"
    },
    {
      "name": "measurement-accuracy-mpmath-o3-table",
      "version": "measurement-accuracy-mpmath-o3"
    },
    {
      "name": "node",
      "version": "22.20.0"
    }
  ],
  "attestation": {
    "status": "CURRENT",
    "href": "/.well-known/calculatorx-production-attestation.json",
    "id": "32b8c8fc001c8156e721d1985f9285c24b4eb39419f1b706b7f4999d46ee806a",
    "attested_at": "2026-09-24T22:06:19.759Z",
    "last_confirmed_current_at": "2026-09-29T02:57:46.783Z",
    "site_attestation_current": false,
    "capability_attestation_current": true,
    "bound_snapshot_status": "pass",
    "live_report_status": "stale",
    "bound_attested_at": "2026-09-29T02:57:46.783Z",
    "live_updated_at": "2026-09-29T02:57:53.635Z",
    "bound_snapshot": {
      "status": "pass",
      "attested_at": "2026-09-29T02:57:46.783Z",
      "site_stale_count": 82
    },
    "live_site_status": {
      "href": "/.well-known/calculatorx-production-attestation.json"
    },
    "bound_snapshot_site_stale_count": 82,
    "site_stale_capability_count": 82,
    "evidence_attested_at": "2026-09-24T22:06:19.759Z"
  },
  "domain_review": {
    "status": "ABSENT",
    "spec_version": "1.0.1",
    "external_third_party": false,
    "note": "Named expert review not performed"
  },
  "timestamps": {
    "verified_at": "2026-09-24T22:06:19.759Z",
    "generated_at": "2026-09-24T22:06:19.759Z",
    "rendered_at": "2026-09-29T02:57:53.830Z",
    "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/engineering.measurement.accuracy/1.0.1.json",
    "evidence_page": "https://www.calculatorx.com/evidence/engineering.measurement.accuracy/1.0.1",
    "calculator": "https://www.calculatorx.com/calc/engineering/measurement-bias",
    "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/engineering.measurement.accuracy/1.0.1.cvp.json",
    "manifest_immutable": "https://www.calculatorx.com/evidence/engineering.measurement.accuracy/1.0.1/2026-09-25.o2-o3.cvp.json",
    "reproduce": "https://www.calculatorx.com/evidence/engineering.measurement.accuracy/reproduce",
    "o3_table": "https://www.calculatorx.com/developers/cvp/reproduce/measurement-accuracy-o3-tables.json",
    "o3_generator": "https://www.calculatorx.com/developers/cvp/reproduce/generate-measurement-accuracy-o3.py",
    "manifest_core": "https://www.calculatorx.com/evidence/engineering.measurement.accuracy/1.0.1/2026-09-25.o2-o3.cc85d9119311.cvp.json"
  }
}
