The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-reverberation-time-state-any-key-fo-927d

stable pending witness
2026-05-29 06:38:09 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain reverberation time. State any key formula.
68 chars

Generation

Reverberation time (RT60) is the time it takes for sound to decay by 60 decibels after the source stops, essentially measuring how long sound persists in a space. It depends on room volume and the absorption properties of surfaces within the space. The key formula is the **Sabine equation**: **RT60 = 0.161 V / A** where V is the room volume (m³) and A is the total absorption (m² sabins), calculated as the sum of each surface area multiplied by its absorption coefficient.
26 tokens in · 126 tokens out · 4178 ms · $0.002

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
4184.2 ms
Base LLM
4177.5 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.002

Trail

06:38:09 received prompt_chars=68 verifiers=['scripture_anchors', 'theology_doctrine']
06:38:09 red_gate decision=pass reason=no disqualifying input patterns detected
06:38:13 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=126 latency_ms=4177.5 cost_usd=0.002
06:38:13 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:38:13 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:38:13 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:38:13 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:38:13 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:38:13 signed hash_algo=sha256 hash=sha256:917ecdafeeadcfc57f3d7d2c59b35c572ff04040e1e0b6045c39d6907c787578

Content hash

sha256:917ecdafeeadcfc57f3d7d2c59b35c572ff04040e1e0b6045c39d6907c787578

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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