{
  "capability_id": "engineering.process.cpmk",
  "tool_id": "cpmk",
  "engine": "cpmk",
  "calculation_version": "1.0.1",
  "generated_at": "2026-10-22T08:54:34.757Z",
  "engine_build": "2026-09-23",
  "test_count": 7,
  "passed": 7,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 1,
      "total": 1
    },
    "boundary": {
      "passed": 3,
      "total": 3
    },
    "property": {
      "passed": 3,
      "total": 3
    }
  },
  "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-capability-cpmk",
  "api": "https://www.calculatorx.com/api/v1/calc/cpmk",
  "schema_input": "https://www.calculatorx.com/schemas/engineering.process.cpmk.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/engineering.process.cpmk.output.json",
  "assumptions": [
    "Taguchi Cpmk = min(USL−μ, μ−LSL)/(3√(σ²+(μ−target)²)) from stated μ, σ, LSL, USL, and target.",
    "Not Cpm (two-sided span), not Cpk (no target in the denominator), not Ppm, and not a 1.33 verdict."
  ],
  "limitations": [
    "Design-stage from stated μ and σ — not measured in-control SPC",
    "Not Cpm (that uses the two-sided span USL−LSL)",
    "Not Cpk (Cpk has no target in the denominator)",
    "Not Ppm (that uses sample s)",
    "This page does not issue a Cpmk≥1.33 verdict"
  ],
  "boundary_conditions": [
    "missing target → MISSING_REQUIRED_INPUT",
    "sigma ≤ 0 → VALUE_MUST_BE_POSITIVE",
    "USL ≤ LSL → INVALID_INPUT"
  ],
  "sources": [
    {
      "title": "Pearn, Kotz, and Johnson — Distributional and inferential properties of process capability indices",
      "section": "Cpmk combines Cpk’s nearer side with Cpm’s Taguchi denominator",
      "supports": "Cpmk is not Cpm and not Cpk",
      "kind": "reference"
    },
    {
      "title": "ISO 22514-2 — Statistical methods in process management — Capability and performance",
      "section": "Capability vs performance; target-based indices",
      "supports": "This page is a design-stage target index, not overall sample Ppm",
      "kind": "standard"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:d686b0fa42bd74defdaa8bf325aea64e71c2eb7aaadc42987d210675b427761e",
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 7,
      "total": 7,
      "golden": 1,
      "boundary": 3,
      "property": 3
    },
    "contract_checks": {
      "passed": 6,
      "total": 6
    }
  },
  "evidence_core_generated_at": "2026-09-23T21:41:47.178Z",
  "rendered_at": "2026-10-22T08:54:34.757Z",
  "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": {
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      "capability_sha256": "0cf292a7d8af0c1f9bca6e23c7bdf9fb1bdcfa9f5a6acc03fc96eb943473b4b6",
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    },
    "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"
  }
}