The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-decibel-scale-state-any-key-for-91bd

stable pending witness
2026-05-29 06:57:55 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the decibel scale. State any key formula.
67 chars

Generation

The decibel (dB) scale is a logarithmic unit used to measure the intensity or power of sound and other signals. Because human perception of sound intensity is logarithmic rather than linear, the decibel scale compresses a wide range of values into a more manageable scale. The key formula is: **dB = 10 log₁₀(I/I₀)**, where I is the intensity being measured and I₀ is a reference intensity (typically 10⁻¹² W/m² for sound). Each 10 dB increase represents a tenfold increase in actual intensity.
27 tokens in · 141 tokens out · 3701 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
3707.7 ms
Base LLM
3701.1 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

06:57:55 received prompt_chars=67 verifiers=['scripture_anchors', 'theology_doctrine']
06:57:55 red_gate decision=pass reason=no disqualifying input patterns detected
06:57:59 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=141 latency_ms=3701.1 cost_usd=0.0022
06:57:59 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:57:59 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:57:59 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:57:59 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:57:59 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:57:59 signed hash_algo=sha256 hash=sha256:bbd718312e7a7c6ca2125e3050f11319517f23ad5ca335afb887650daacfa552

Content hash

sha256:bbd718312e7a7c6ca2125e3050f11319517f23ad5ca335afb887650daacfa552

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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