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engineering.conformity.z_score

Machine-checked verification for calculation version 1.0.1 · tier engine_tested

CVP status

CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance · Proficiency-testing z-score from ylab, xref, and a scheme σ_pt, + O3 mpmath tabulated z-score.

Scheme σ_pt. Not zeta, not En, not an ILAC G8 decision. O3 tabulated vectors only.

Declared partition coverage
PASS · 5/5 declared partitions (pass, fail, alias, awkward, invalid-domain)
Versions
Calculation 1.0.1 · CVP protocol 1.0.0-proposed · Evidence 2026-09-25.o2-o3
Verification revision
2026-09-25.o2-o3 · 1/1 property · digest e0f1dac3e62d

Verification

Legacy regression suite: 13/13 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (13/13 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

    This calculator CURRENT · Public schema 1.0.1 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-25.o2-o3. Calculation version 1.0.1. CVP 1.0.0-proposed. 4/4 golden · 6/6 CVP boundary · 6/6 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 3/3 cross-interface · 6/6 CVP contract. digest e0f1dac3e62d. O2: proficiency-testing z-score vs a separate-module division identity (≤2 ULP). Not zeta, not En, and not an ILAC G8 specification decision. ≤2 ULP vs O3 applies only to the published tabulated z-score vectors (pass, the |z|=2 boundary, warning, fail, an alias, a negative result, one awkward pair, and another |z|=2 pair). It is not a whole-domain guarantee and does not cover zeta, En, or an ILAC G8 specification decision.

  • Golden (oracle-backed) 4 / 4
  • CVP boundary 6 / 6
  • Invalid input 6 / 6
  • Property 1 / 1
  • Metamorphic 1 / 1
  • O3 high-precision 8 / 8
  • Cross-interface 3 / 3
  • CVP contract 6 / 6
  • Interfaces PASS · UI (SSR) / REST / MCP
  • Interface claim 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.
  • Verified scope Proficiency-testing z-score from ylab, xref, and a scheme σ_pt, + O3 mpmath tabulated z-score.
  • Assurance Engineering
  • Deferred Not zeta (laboratory u), not En (expanded U), and not an ILAC G8 specification decision.
  • 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

Fingerprint sha256:3588cd334cfc05d7589f6f985c2f248e307616d5e6e7604e43de2f3bc374e04e

Input schema sha256:891fbf40a7ed8b147f092e7fcf6df696938c211d814d44423039ec5aef1f1936 · Output schema sha256:6534410340fd21a04b80659cdedefa4ea48ed1f7221a9f6bd3d5c72cdf318f1a · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool
z-score
Engine
z-score
Engine build
2026-09-24
Evidence core
2026-09-24T21:19:14.853Z
Rendered
2026-10-23T01:27:11.175Z
Last reviewed
—

Assumptions

  • ISO 13528 z-score with scheme SDPA σ_pt
  • |z| ≤ 2 is pass; 2 < |z| < 3 is warning; |z| ≥ 3 is fail
  • Not zeta (lab u), not En (expanded U), not TUR, and not an ILAC G8 spec decision

Limitations

  • σ_pt is the scheme SDPA — this page does not compute lab u or U = k·u
  • Not the zeta-score (that uses √(ulab²+uref²))
  • Not the normalized error En (that uses already-expanded U)
  • Not TUR and not an ILAC G8 specification decision on y
  • |z| ≤ 2 is pass; 2 < |z| < 3 is warning; |z| ≥ 3 is fail

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.