The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-human-hearing-range-state-any-k-6814

stable pending witness
2026-05-29 03:09:16 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the human hearing range. State any key formula.
73 chars

Generation

# Human Hearing Range The human hearing range typically spans from **20 Hz to 20,000 Hz (20 kHz)** in frequency, though this upper limit decreases with age. Sound intensity is measured in decibels using the formula: **dB = 10 log₁₀(I/I₀)** where I is the sound intensity and I₀ = 10⁻¹² W/m² is the threshold of human hearing. The ear is most sensitive to frequencies between 2,000-5,000 Hz, which corresponds to the range of human speech.
26 tokens in · 138 tokens out · 4768 ms · $0.0021

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
4780.9 ms
Base LLM
4768.2 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0021

Trail

03:09:16 received prompt_chars=73 verifiers=['scripture_anchors', 'theology_doctrine']
03:09:16 red_gate decision=pass reason=no disqualifying input patterns detected
03:09:21 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=138 latency_ms=4768.2 cost_usd=0.0021
03:09:21 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:09:21 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:09:21 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:09:21 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:09:21 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:09:21 signed hash_algo=sha256 hash=sha256:69aab6915e86c296c45543c657dc20e55786c78edf8f6dfe3a4e946dbc06434c

Content hash

sha256:69aab6915e86c296c45543c657dc20e55786c78edf8f6dfe3a4e946dbc06434c

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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