The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-heat-index-state-any-key-formul-1885

stable pending witness
2026-05-29 03:00:29 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the heat index. State any key formula.
64 chars

Generation

The heat index is a measure of how hot it feels to the human body when relative humidity is combined with air temperature. High humidity reduces the body's ability to cool itself through evaporation of sweat, making the air feel hotter than the actual temperature. **Key formula (simplified version):** HI = -42.379 + 2.04901523T + 10.14333127R - 0.22475541TR - 6.83783×10⁻³T² - 5.481717×10⁻²R² + 1.22874×10⁻³T²R + 8.5282×10⁻⁴TR² - 1.99×10⁻⁶T²R² where HI is heat index (°F), T is air temperature (°F), and R is relative humidity (%).
25 tokens in · 200 tokens out · 7241 ms · $0.0031

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
7250.5 ms
Base LLM
7240.8 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0031

Trail

03:00:29 received prompt_chars=64 verifiers=['scripture_anchors', 'theology_doctrine']
03:00:29 red_gate decision=pass reason=no disqualifying input patterns detected
03:00:36 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=200 latency_ms=7240.8 cost_usd=0.0031
03:00:36 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:00:36 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:00:36 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:00:36 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:00:36 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:00:36 signed hash_algo=sha256 hash=sha256:d2a461d81417c7db8c4b3e36827b95912e3b6f61372706844965ccb8889cc551

Content hash

sha256:d2a461d81417c7db8c4b3e36827b95912e3b6f61372706844965ccb8889cc551

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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