The Mechanism · Gated-generation receipt

gen-explain-the-speed-of-sound-in-a-medium-as-you-would-to-a-cap-ae59

stable pending witness
2026-05-29 02:44:20 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the speed of sound in a medium as you would to a capable student, in 3-4 sentences.
91 chars

Generation

The speed of sound in a medium depends on how quickly molecules can transfer vibrations to their neighbors, which is determined by two key factors: the medium's stiffness (or elasticity) and its density. Stiffer materials allow faster sound transmission because they resist compression more strongly, while denser materials slow sound down because there's more mass to move. This is why sound travels fastest in solids like steel (~5,000 m/s), slower in liquids like water (~1,500 m/s), and slowest in gases like air (~340 m/s)—solids have strong intermolecular bonds that quickly transmit vibrations despite their higher density. Temperature also matters in gases because warmer molecules move faster and collide more frequently, speeding up sound transmission.
32 tokens in · 170 tokens out · 5004 ms · $0.0026

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
5011.7 ms
Base LLM
5004.4 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0026

Trail

02:44:20 received prompt_chars=91 verifiers=['scripture_anchors', 'theology_doctrine']
02:44:20 red_gate decision=pass reason=no disqualifying input patterns detected
02:44:25 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=32 tokens_out=170 latency_ms=5004.4 cost_usd=0.0026
02:44:25 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:44:25 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:44:25 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:44:25 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:44:25 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:44:25 signed hash_algo=sha256 hash=sha256:fbc7c12a3cb20478268212e12e8eb5825deb805b9ab1347db80417d119d9fd79

Content hash

sha256:fbc7c12a3cb20478268212e12e8eb5825deb805b9ab1347db80417d119d9fd79

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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