Public evidence

physics.thermo.stefan_boltzmann

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

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Verification

12/12 calculation tests · Production surface contract 4/4

Golden tests 1 / 1
Boundary tests 6 / 6
Property tests 5 / 5
Production surface contract 4 / 4
Engine tested Yes
Source checked Yes
Artifact integrity PASS
Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status PASS (0 stale; 164 CURRENT) @ 2026-09-16T06:44:24.909Z
Semantic contract PASS
Evidence attested at 2026-09-16T06:44:24.203Z
Last production check 2026-09-16T06:44:24.203Z
Public / cache —
Origin —
Supplemental domain review Not performed
Named expert review Not performed

release artifacts aligned PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input 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.

Build & scope

Engine identity and declared limitations.

Tool: stefan-boltzmann
Engine: stefan-boltzmann
Engine build: 2026-09-16
Evidence core: 2026-09-16T10:25:41.349Z
Rendered: 2026-09-16T11:29:50.774Z
Last reviewed: —

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

Sources

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

CODATA 2018 — Stefan–Boltzmann constant — σ
Supports: σ = 5.670374419×10⁻⁸ W m⁻² K⁻⁴
ISO 80000-5 — Thermodynamics — Heat flux / thermal radiation
Supports: Net radiative flux proportional to T⁴ differences

Published checks

Golden, boundary, and property cases included in this evidence build.

ID	Kind	Status	Detail
`golden-sb`	golden	pass	Expected q_W_m2=992.315523325 · Th=400 · Tc=300 · epsilon=1 · model=stefan_boltzmann · Actual q_W_m2=992.315523325 · Th=400 · Tc=300 · epsilon=1 · sigma=5.670374419e-8 · model=stefan_boltzmann
`boundary-sb-area`	boundary	pass	Expected Q_W=1984.63104665 · Actual q_W_m2=992.315523325 · Th=400 · Tc=300 · epsilon=1 · sigma=5.670374419e-8 · model=stefan_boltzmann · A=2 · Q_W=1984.63104665
`boundary-sb-eps`	boundary	pass	Expected q_W_m2=496.1577616625 · Actual q_W_m2=496.1577616625 · Th=400 · Tc=300 · epsilon=0.5 · sigma=5.670374419e-8 · model=stefan_boltzmann
`boundary-sb-equal`	boundary	pass	Expected q_W_m2=0 · Actual q_W_m2=0 · Th=300 · Tc=300 · epsilon=1 · sigma=5.670374419e-8 · model=stefan_boltzmann
`boundary-sb-th`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`boundary-sb-eps-range`	boundary	pass	Expected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
`boundary-sb-missing`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
`property-sb-flux`	property	pass	εσ(Th⁴−Tc⁴)
`property-sb-area`	property	pass	Q=A·q
`property-sb-eps`	property	pass	ε=0.5
`property-sb-equal`	property	pass	Th=Tc→0
`property-sb-model`	property	pass	stefan_boltzmann