The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-speed-of-sound-in-a-medium-stat-a339

stable pending witness
2026-05-29 05:42:34 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the speed of sound in a medium. State any key formula.
80 chars

Generation

The speed of sound in a medium depends on the medium's elastic properties and density. In general, sound travels faster through stiffer, less dense materials. For gases, the speed is given by **v = √(γRT/M)**, where γ is the heat capacity ratio, R is the gas constant, T is absolute temperature, and M is molar mass. For solids and liquids, the speed depends on the bulk modulus (B) and density (ρ): **v = √(B/ρ)**.
29 tokens in · 118 tokens out · 2910 ms · $0.0019

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
2917.6 ms
Base LLM
2910.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0019

Trail

05:42:34 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
05:42:34 red_gate decision=pass reason=no disqualifying input patterns detected
05:42:37 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=118 latency_ms=2910.3 cost_usd=0.0019
05:42:37 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:42:37 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:42:37 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:42:37 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:42:37 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:42:37 signed hash_algo=sha256 hash=sha256:a37730ce060cee0bb072109507b986b883d37fa847fca55b0660971fdbacd7ce

Content hash

sha256:a37730ce060cee0bb072109507b986b883d37fa847fca55b0660971fdbacd7ce

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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