The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-first-law-of-thermodynamics-sta-54f9

stable pending witness
2026-05-29 05:30:14 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the first law of thermodynamics. State any key formula.
81 chars

Generation

The first law of thermodynamics states that energy cannot be created or destroyed, only converted from one form to another. In a closed system, the change in internal energy equals the heat added to the system minus the work done by the system. This principle is expressed by the formula: **ΔU = Q - W**, where ΔU is the change in internal energy, Q is heat added to the system, and W is work done by the system. This law is essentially the principle of conservation of energy applied to thermodynamic systems.
29 tokens in · 116 tokens out · 2875 ms · $0.0018

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
2882.6 ms
Base LLM
2875.3 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0018

Trail

05:30:14 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
05:30:14 red_gate decision=pass reason=no disqualifying input patterns detected
05:30:17 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=116 latency_ms=2875.3 cost_usd=0.0018
05:30:17 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:30:17 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:30:17 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:30:17 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:30:17 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:30:17 signed hash_algo=sha256 hash=sha256:d2f2eb1d612be5dc17d76b724305493983ecc6efb8d84206702560c2edf72e96

Content hash

sha256:d2f2eb1d612be5dc17d76b724305493983ecc6efb8d84206702560c2edf72e96

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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