The Mechanism · Gated-generation receipt

gen-explain-the-ideal-gas-law-as-you-would-to-a-capable-student-f767

stable pending witness
2026-05-29 04:20:23 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the ideal gas law as you would to a capable student, in 3-4 sentences.
78 chars

Generation

The ideal gas law, PV = nRT, describes the relationship between pressure (P), volume (V), temperature (T), and amount (n) of a gas under ideal conditions. It tells us that if you increase the temperature of a gas while keeping it in a fixed container, the pressure will increase proportionally, or if you compress a gas into a smaller volume, either the pressure or temperature must rise. The constant R links these properties together and accounts for the units you're using. This law works well for most real gases under normal conditions, though it breaks down at very high pressures or very low temperatures where gases no longer behave "ideally."
29 tokens in · 139 tokens out · 5179 ms · $0.0022

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
5185.8 ms
Base LLM
5178.6 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

04:20:23 received prompt_chars=78 verifiers=['scripture_anchors', 'theology_doctrine']
04:20:23 red_gate decision=pass reason=no disqualifying input patterns detected
04:20:28 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=139 latency_ms=5178.6 cost_usd=0.0022
04:20:28 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:20:28 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:20:28 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:20:28 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:20:28 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:20:28 signed hash_algo=sha256 hash=sha256:b20099adead84767bcbfdd30f8ab9666b71d9f2c0708224034f16f9af0126217

Content hash

sha256:b20099adead84767bcbfdd30f8ab9666b71d9f2c0708224034f16f9af0126217

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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