physics.thermo.stefan_boltzmann

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 1.0.0 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 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 6/6 CVP boundary · 5/5 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest f910815c6069. O2: net Stefan–Boltzmann flux vs a separate-module identity (≤2 ULP). Not conduction and not a heatsink. ≤2 ULP vs O3 applies only to the published tabulated Stefan–Boltzmann vectors. Not conduction and not a heatsink.

• Golden (oracle-backed) 4 / 4
• CVP boundary 6 / 6
• Invalid input 5 / 5
• Property 1 / 1
• Metamorphic 1 / 1
• O3 high-precision 8 / 8
• Cross-interface 2 / 2
• 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 Net flux q = ε σ (Th^4 − Tc^4), optional Q = A q, + O3 mpmath tabulated flux.
• Assurance Engineering
• Deferred Not conduction, not convection, and not a heatsink.

• 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:cba37ff1d92c0354ccdf6e32e7b3b872da50e6dc96267b6508f103ae2ec09108

Input schema sha256:b2c7b9c1d7873c1867959bd30839e296c2f7908c8974f9a6fafd57b4abd04612 · Output schema sha256:2a74812c94e9ea96213f80024691c949bf0021938fe682aabd577a7d6096ae51 · 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

stefan-boltzmann

Engine

stefan-boltzmann

Engine build

2026-09-16

Evidence core

2026-09-16T10:25:41.349Z

Rendered

2026-11-10T05:18:42.002Z

Last reviewed

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Assumptions

• Gray body
• View factor F=1
• T in kelvin
• σ = 5.670374419e-8 (CODATA 2018)
• Not Fourier conduction or Newton cooling
• Not heatsink Rth or steam

Limitations

• Gray body; no view factor (F=1)
• T in kelvin
• Not conduction/convection heat-transfer
• Not heatsink Rth or steam