The Mechanism · Gated-generation receipt

gen-explain-dispersion-in-a-prism-as-you-would-to-a-capable-stud-55b8

stable pending witness
2026-05-29 03:09:08 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain dispersion in a prism as you would to a capable student, in 3-4 sentences.
82 chars

Generation

When white light enters a prism, it splits into its component colors (red through violet) because different wavelengths of light refract by different amounts. This happens because the refractive index of glass varies with wavelength—shorter wavelengths like violet light experience a higher refractive index and bend more sharply, while longer wavelengths like red light bend less. This wavelength-dependent bending causes the colors to spread out into a spectrum as they pass through the prism. The phenomenon demonstrates that white light is actually a mixture of all visible colors.
31 tokens in · 120 tokens out · 3584 ms · $0.0019

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
3596.7 ms
Base LLM
3583.8 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0019

Trail

03:09:08 received prompt_chars=82 verifiers=['scripture_anchors', 'theology_doctrine']
03:09:08 red_gate decision=pass reason=no disqualifying input patterns detected
03:09:12 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=120 latency_ms=3583.8 cost_usd=0.0019
03:09:12 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:09:12 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:09:12 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:09:12 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:09:12 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:09:12 signed hash_algo=sha256 hash=sha256:33e553c76f14490e9ea700e5d5e3d8f94f9c6658a7ff3798bbe499ccbe046a23

Content hash

sha256:33e553c76f14490e9ea700e5d5e3d8f94f9c6658a7ff3798bbe499ccbe046a23

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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