The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-hess-s-law-state-any-key-formula-e42f

stable pending witness
2026-05-29 02:39:55 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Hess's law. State any key formula.
60 chars

Generation

Hess's law states that the total enthalpy change of a reaction is independent of the pathway taken and depends only on the initial and final states. This means that if a reaction occurs in multiple steps, the sum of the enthalpy changes for each step equals the overall enthalpy change for the reaction. The key formula is: **ΔH°(reaction) = ΣΔH°(products) - ΣΔH°(reactants)** or equivalently, **ΔH°(total) = ΔH°₁ + ΔH°₂ + ΔH°₃ + ...** This law allows us to calculate enthalpy changes for reactions that are difficult to measure directly by using known enthalpy values from other reactions.
27 tokens in · 181 tokens out · 4145 ms · $0.0028

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
4152.3 ms
Base LLM
4145.1 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0028

Trail

02:39:55 received prompt_chars=60 verifiers=['scripture_anchors', 'theology_doctrine']
02:39:55 red_gate decision=pass reason=no disqualifying input patterns detected
02:40:00 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=181 latency_ms=4145.1 cost_usd=0.0028
02:40:00 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:40:00 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:40:00 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:40:00 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:40:00 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:40:00 signed hash_algo=sha256 hash=sha256:4951baa182107c68dd5c4463a7344973b8dc7d954d76c736343a24b55334eb90

Content hash

sha256:4951baa182107c68dd5c4463a7344973b8dc7d954d76c736343a24b55334eb90

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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