The Mechanism · Gated-generation receipt

gen-state-the-ideal-gas-law-precisely-and-explain-why-it-matters-4321

stable pending witness
2026-05-29 05:27:58 UTC · anthropic/claude-sonnet-4-5

Prompt

State the ideal gas law precisely and explain why it matters in 2-3 sentences.
78 chars

Generation

# The Ideal Gas Law **PV = nRT** Where P is pressure, V is volume, n is the number of moles of gas, R is the universal gas constant, and T is absolute temperature. ## Why It Matters The ideal gas law matters because it provides a simple mathematical relationship that accurately predicts how gases behave under changing conditions in most everyday situations. It's fundamental to countless applications, from designing engines and HVAC systems to understanding atmospheric phenomena and conducting chemical reactions. The law also serves as the foundation for more complex theories about real gases and molecular behavior.
26 tokens in · 127 tokens out · 3660 ms · $0.002

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
3667.0 ms
Base LLM
3659.8 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.002

Trail

05:27:58 received prompt_chars=78 verifiers=['scripture_anchors', 'theology_doctrine']
05:27:58 red_gate decision=pass reason=no disqualifying input patterns detected
05:28:01 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=127 latency_ms=3659.8 cost_usd=0.002
05:28:01 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:28:01 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:28:01 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:28:01 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:28:01 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:28:01 signed hash_algo=sha256 hash=sha256:8df906f087ad887d696086b997845f093363e564ea10f5a0d4f5488c566886ad

Content hash

sha256:8df906f087ad887d696086b997845f093363e564ea10f5a0d4f5488c566886ad

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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