{
  "capability_id": "engineering.process.performance",
  "tool_id": "process-performance",
  "engine": "process-performance",
  "calculation_version": "1.0.1",
  "generated_at": "2026-10-23T01:27:11.167Z",
  "engine_build": "2026-09-23",
  "test_count": 8,
  "passed": 8,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 1,
      "total": 1
    },
    "boundary": {
      "passed": 5,
      "total": 5
    },
    "property": {
      "passed": 2,
      "total": 2
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/engineering/process-performance",
  "api": "https://www.calculatorx.com/api/v1/calc/process-performance",
  "schema_input": "https://www.calculatorx.com/schemas/engineering.process.performance.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/engineering.process.performance.output.json",
  "assumptions": [
    "Overall sample s via summarizeSample (ddof=1 default) — not a stated design σ",
    "Not design-stage Cp/Cpk and not Type A u_A",
    "Not within-subgroup SPC and not Monte Carlo simulated indices",
    "Two-sided limits; USL > LSL"
  ],
  "limitations": [
    "Overall sample s — not a stated design σ and not within-subgroup SPC",
    "Not design-stage Cp/Cpk and not Type A u_A = s/√n",
    "Not Monte Carlo simulated indices",
    "Two-sided LSL/USL required; USL must be greater than LSL"
  ],
  "boundary_conditions": [
    "missing values, lsl, or usl → MISSING_REQUIRED_INPUT",
    "n < 2 when ddof=1 → VALUE_OUT_OF_RANGE",
    "s = 0 → VALUE_MUST_BE_POSITIVE",
    "USL ≤ LSL → INVALID_INPUT"
  ],
  "sources": [
    {
      "title": "NIST Engineering Statistics Handbook — Process Capability",
      "section": "6.1.6 What is Process Capability?",
      "url": "https://www.itl.nist.gov/div898/handbook/pmc/section1/pmc16.htm",
      "supports": "Pp/Ppk use overall (long-term) variation; Cp/Cpk use a stated or within σ",
      "kind": "reference"
    },
    {
      "title": "AIAG SPC — Statistical Process Control",
      "section": "Process performance indices Pp, Ppk",
      "supports": "Pp and Ppk use overall sample standard deviation",
      "kind": "standard"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:7f2cbcc0ea9bc5d06695cf586cac81e4643f776cb48272b982479155cea7e090",
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 8,
      "total": 8,
      "golden": 1,
      "boundary": 5,
      "property": 2
    },
    "contract_checks": {
      "passed": 6,
      "total": 6
    }
  },
  "evidence_core_generated_at": "2026-09-23T13:59:18.740Z",
  "rendered_at": "2026-10-23T01:27:11.167Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.1",
    "artifacts": {
      "engine": "1.0.1",
      "page": "1.0.1",
      "capability": "1.0.1",
      "evidence": "1.0.1",
      "input_schema": "1.0.1",
      "output_schema": "1.0.1",
      "mcp_contract": "1.0.1"
    },
    "digests": {
      "input_schema_sha256": "3968d12d5dc28d7f1a26050802323b1300115ab711e7253d6b0aaad3d61a1431",
      "output_schema_sha256": "3f75d729e8362ae3e8f8c654dd07db03b5fffc6931166a70dd2f3c6e3bce1be6",
      "evidence_sha256": "e797756b9d6a9300181c550a55910e7d31ff61620dbf0eaf1af467c8c7879167",
      "evidence_core_sha256": "e797756b9d6a9300181c550a55910e7d31ff61620dbf0eaf1af467c8c7879167",
      "capability_sha256": "71a032eb26a5b0a2dc1bd90e05bc4ce94ebd8188012c3b21f6fefece7b7970ad",
      "engine_sha256": "a664ae25cd2134de7de43a99352933043215473589aec38c9416508150cb1008",
      "mcp_contract_sha256": "8defa770ea0b34118e3444b698842353896edfffa88b4ef1c34898f3f5378790"
    },
    "contract_checks": {
      "total": 6,
      "passed": 6,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.1"
        },
        {
          "id": "schema-output-required-declared",
          "status": "pass"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "schema-rejects-incomplete-input",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  },
  "tests": [],
  "disclosure": {
    "policy": "calculatorx-public-evidence-v1",
    "full_validation": "private",
    "representation": "summary"
  }
}
