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Public evidence

mechanical.statics.least_pull

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

Verification

7/7 calculation tests · Production surface contract 6/6

  • Golden tests 3 / 3
  • Boundary tests 4 / 4
  • Property tests 0 / 0
  • Production surface contract 6 / 6
  • }
  • 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  • Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (6 capabilities; 189 remain CURRENT) @ 2026-09-23T14:00:05.385Z
  • Semantic contract PASS
  • Evidence attested at 2026-09-23T02:27:54.588Z
  • Last production check 2026-09-23T02:27:54.588Z
  • Public / cache
  • Origin
  • Supplemental domain review Not performed
  • Named expert review Not performed
  • 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:e043f55eeb07b91796a2bee9824351361301d1f4e1e7241b8cff3a0c3e1aec81

Input schema sha256:460b687b0f3e70aa3c110542fd1fbd20ec7212ef36ce40430cf857ee052ad006 · Output schema sha256:ee5ba5d32353bc2323f54d567299bba03282268f227fe15ef72e6c00cd6e93bd · 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
least-pull
Engine
least-pull
Engine build
2026-09-23
Evidence core
2026-09-23T13:07:54.737Z
Rendered
2026-09-23T14:21:08.540Z
Last reviewed

Limitations

  • The surface is level
  • α = arctan μ is the angle that minimizes the pull
  • P = μW / √(1+μ²) and N = W / (1+μ²)
  • Not a prescribed angle, an incline, tipping, a wedge, a screw, or a belt

Sources

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

Published checks

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

IDKindStatusDetail
golden-45goldenpassExpected P=70.71067811865476 · N=50 · F=-50 · alpha_deg=45 · model=least_pull · Actual model=least_pull · W=100 · mu=1 · alpha_deg=45 · P=70.7106781187 · N=50 · F=-50 · solver=angled pull at the friction angle
golden-three-quartergoldenpassExpected P=60 · N=64 · F=-48 · alpha_deg=36.86989764584402 · Actual model=least_pull · W=100 · mu=0.75 · alpha_deg=36.86989764584402 · P=60 · N=64 · F=-48 · solver=angled pull at the friction angle
golden-smoothgoldenpassExpected P=0 · N=100 · F=0 · alpha_deg=0 · Actual model=least_pull · W=100 · mu=0 · alpha_deg=0 · P=0 · N=100 · F=0 · solver=angled pull at the friction angle
boundary-weightboundarypassExpected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
boundary-muboundarypassExpected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
boundary-missing-muboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
boundary-missing-wboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT