The Mechanism · Gated-generation receipt

gen-state-dispersion-in-a-prism-precisely-and-explain-why-it-mat-1fa5

stable pending witness
2026-05-29 04:34:11 UTC · anthropic/claude-sonnet-4-5

Prompt

State dispersion in a prism precisely and explain why it matters in 2-3 sentences.
82 chars

Generation

## Dispersion in a Prism **Dispersion is the separation of white light into its constituent wavelengths (colors) because the refractive index of the prism material varies with wavelength, causing different colors to refract at different angles.** This matters because it reveals that white light is composite rather than pure, enables spectroscopic analysis to identify materials by their characteristic spectral lines, and must be corrected in optical systems (like camera lenses) where chromatic aberration would otherwise degrade image quality.
28 tokens in · 114 tokens out · 4249 ms · $0.0018

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
4256.9 ms
Base LLM
4249.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0018

Trail

04:34:11 received prompt_chars=82 verifiers=['scripture_anchors', 'theology_doctrine']
04:34:11 red_gate decision=pass reason=no disqualifying input patterns detected
04:34:15 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=114 latency_ms=4249.3 cost_usd=0.0018
04:34:15 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:34:15 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:34:15 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:34:15 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:34:15 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:34:15 signed hash_algo=sha256 hash=sha256:8dfe703bb214b3df07742de9e4be682fbda35dbbdfd6cf0b551fa80380e631cc

Content hash

sha256:8dfe703bb214b3df07742de9e4be682fbda35dbbdfd6cf0b551fa80380e631cc

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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