The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-a-sound-pressure-level-state-any-ke-557b

stable pending witness
2026-05-29 08:35:58 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain a sound pressure level. State any key formula.
72 chars

Generation

# Sound Pressure Level (SPL) Sound pressure level is a logarithmic measure of the effective pressure of sound relative to a reference value, expressed in decibels (dB). It quantifies how much the sound pressure deviates from the standard reference pressure of 20 micropascals (the threshold of human hearing at 1 kHz). **Key Formula:** **SPL = 20 log₁₀(P/P₀)** dB where P is the measured sound pressure (in Pascals) and P₀ is the reference pressure (20 μPa). The logarithmic scale allows the vast range of human hearing—from the faintest detectable sound to painfully loud sounds—to be represented in a manageable numerical range (typically 0 to 140 dB).
26 tokens in · 186 tokens out · 6834 ms · $0.0029

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
6846.2 ms
Base LLM
6834.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0029

Trail

08:35:58 received prompt_chars=72 verifiers=['scripture_anchors', 'theology_doctrine']
08:35:58 red_gate decision=pass reason=no disqualifying input patterns detected
08:36:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=186 latency_ms=6834.2 cost_usd=0.0029
08:36:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:36:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:36:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:36:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:36:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:36:05 signed hash_algo=sha256 hash=sha256:2877eb7c6db1e1ac2f26db44a4ab0245b9f603fee74de5caaae45195ed227b96

Content hash

sha256:2877eb7c6db1e1ac2f26db44a4ab0245b9f603fee74de5caaae45195ed227b96

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.

Bring another teaching · Run a discernment