engineering.conformity.z_prime

Three distinct suites: educational examples on the calculator page, this legacy regression count (12/12 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 7ead485672f6. O2: proficiency-testing z-prime vs a separate-module hypot identity (≤2 ULP). Not z-score, not zeta, and not En. ≤2 ULP vs O3 applies only to the published tabulated z-prime vectors. It is not a whole-domain guarantee and does not cover z-score, zeta, or En.

• 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-prime from ylab, xref, σ_pt, and u(x_pt), + O3 mpmath tabulated z-prime.
• Assurance Engineering
• Deferred Not z-score, not zeta, and not En.

• 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 sha256:85d313a92c6e243c33cc27ec9eb1eb147d3e34a636c820c01870283e90ccfbb3

Input schema sha256:b1d51fce95843a970031fcadbc343fb9eef3621d6589b0b35452c83a0529baac · Output schema sha256:36998eed90cf5a6490fedfc72b699f332374c51359781d0888b173c1699864b4 · 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.

Tool

z-prime

Engine

z-prime

Engine build

2026-09-24

Evidence core

2026-09-24T21:41:40.192Z

Rendered

2026-10-22T08:54:34.783Z

Last reviewed

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Assumptions

• ISO 13528 z′ = (ylab−xref)/√(σ_pt²+u(x_pt)²)
• σ_pt > 0 and u(x_pt) > 0 — u(x_pt)=0 is not a z-score wrap
• Not z-score, not zeta, and not En

Limitations

• Requires σ_pt > 0 and u(x_pt) > 0 — this page does not wrap z-score
• Not the z-score (that divides by σ_pt alone)
• 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