The Mechanism · Gated-generation receipt

gen-state-the-speed-of-sound-versus-temperature-precisely-and-ex-a4d4

stable pending witness
2026-05-29 05:29:27 UTC · anthropic/claude-sonnet-4-5

Prompt

State the speed of sound versus temperature precisely and explain why it matters in 2-3 sentences.
98 chars

Generation

# Speed of Sound vs Temperature The speed of sound in air increases by approximately **0.6 m/s per degree Celsius**, following the formula: v ≈ 331.3 + 0.6T m/s, where T is temperature in °C (at 20°C, sound travels at ~343 m/s). This matters because temperature variations significantly affect acoustic measurements, timing systems, and ultrasonic sensors—a 10°C change alters sound speed by about 2%, enough to cause noticeable errors in distance measurements, musical instrument tuning, and sonar applications. The relationship exists because higher temperatures increase air molecule kinetic energy, allowing sound waves to propagate faster through the medium.
28 tokens in · 160 tokens out · 5641 ms · $0.0025

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
5651.2 ms
Base LLM
5640.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0025

Trail

05:29:27 received prompt_chars=98 verifiers=['scripture_anchors', 'theology_doctrine']
05:29:27 red_gate decision=pass reason=no disqualifying input patterns detected
05:29:32 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=160 latency_ms=5640.9 cost_usd=0.0025
05:29:32 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:29:32 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:29:32 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:29:32 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:29:32 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:29:32 signed hash_algo=sha256 hash=sha256:e5df4a8d41e7a9e5450bf8dd138b1e6c83ca523d887fe98b12d933ce80f7d518

Content hash

sha256:e5df4a8d41e7a9e5450bf8dd138b1e6c83ca523d887fe98b12d933ce80f7d518

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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