The Mechanism · Gated-generation receipt

gen-state-the-index-of-refraction-precisely-and-explain-why-it-m-a1a4

stable pending witness
2026-05-29 07:39:11 UTC · anthropic/claude-sonnet-4-5

Prompt

State the index of refraction precisely and explain why it matters in 2-3 sentences.
84 chars

Generation

# Index of Refraction **Precise definition:** The index of refraction (n) is the ratio of the speed of light in vacuum (c) to the speed of light in a material (v): n = c/v. **Why it matters:** This dimensionless number determines how much light bends when entering a material at an angle, which is essential for designing all optical devices from eyeglasses to cameras to fiber optic cables. It also affects how much light reflects at interfaces and how lenses focus light, making it fundamental to both natural phenomena (like rainbows and mirages) and modern technology (like microscopes and telecommunications).
27 tokens in · 141 tokens out · 3723 ms · $0.0022

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
3731.4 ms
Base LLM
3723.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0022

Trail

07:39:11 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
07:39:11 red_gate decision=pass reason=no disqualifying input patterns detected
07:39:15 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=141 latency_ms=3723.3 cost_usd=0.0022
07:39:15 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:39:15 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:39:15 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:39:15 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:39:15 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:39:15 signed hash_algo=sha256 hash=sha256:4f5989fc001024159f525e3ebb95a0880ab17e2043658d0e3cf384aa18a70f6d

Content hash

sha256:4f5989fc001024159f525e3ebb95a0880ab17e2043658d0e3cf384aa18a70f6d

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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