The Mechanism · Gated-generation receipt

gen-explain-acoustic-impedance-as-you-would-to-a-capable-student-72c0

stable pending witness
2026-05-29 02:30:40 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain acoustic impedance as you would to a capable student, in 3-4 sentences.
79 chars

Generation

Acoustic impedance is a material's resistance to sound wave transmission, determined by multiplying the material's density by the speed of sound through it (Z = ρc). When sound travels from one material to another, the greater the difference in acoustic impedance between them, the more sound gets reflected rather than transmitted—think of how sound bounces off a concrete wall (high impedance) versus passing through air (low impedance). This concept is crucial in applications like ultrasound imaging, where gel is used to match the impedance between the transducer and your skin, minimizing reflections and allowing more sound to penetrate into your body.
28 tokens in · 137 tokens out · 5249 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
5256.7 ms
Base LLM
5249.4 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0021

Trail

02:30:40 received prompt_chars=79 verifiers=['scripture_anchors', 'theology_doctrine']
02:30:40 red_gate decision=pass reason=no disqualifying input patterns detected
02:30:45 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=137 latency_ms=5249.4 cost_usd=0.0021
02:30:45 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:30:45 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:30:45 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:30:45 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:30:45 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:30:45 signed hash_algo=sha256 hash=sha256:1d90f93bb4ff88d05efcad2fda6f0efc3fa8171faa0cec918895188cdd2afe19

Content hash

sha256:1d90f93bb4ff88d05efcad2fda6f0efc3fa8171faa0cec918895188cdd2afe19

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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