The Mechanism · Gated-generation receipt

gen-define-the-heat-index-and-give-one-short-worked-example-7eb9

stable pending witness
2026-05-29 08:26:50 UTC · anthropic/claude-sonnet-4-5

Prompt

Define the heat index and give one short worked example.
56 chars

Generation

# Heat Index The **heat index** is a measure of how hot it feels to the human body when relative humidity is combined with air temperature. It accounts for the fact that high humidity reduces the body's ability to cool itself through evaporation of sweat, making the air feel hotter than the actual temperature. ## Worked Example **Given:** - Air temperature: 90°F - Relative humidity: 60% **Solution:** Using the simplified heat index formula: HI = -42.379 + 2.04901523(T) + 10.14333127(RH) - 0.22475541(T)(RH) - 6.83783×10⁻³(T²) - 5.481717×10⁻²(RH²) + 1.22874×10⁻³(T²)(RH) + 8.5282×10⁻⁴(T)(RH²) - 1.99×10⁻⁶(T²)(RH²) Where T = 90°F and RH = 60% Calculating step by step (abbreviated): - HI ≈ -42.379 + 184.4 + 608.6 - 1,213.7 - 55.4 - 197.3 + 59.6 + 41.2 - 0.97 - **HI ≈ 100°F** **Result:** When it's 90°F with 60% humidity, it feels like 100°F to the human body. *Note: For quick estimates, simple lookup tables or online calculators are commonly used.*
18 tokens in · 392 tokens out · 14812 ms · $0.0059

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
14817.5 ms
Base LLM
14811.6 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0059

Trail

08:26:50 received prompt_chars=56 verifiers=['scripture_anchors', 'theology_doctrine']
08:26:50 red_gate decision=pass reason=no disqualifying input patterns detected
08:27:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=18 tokens_out=392 latency_ms=14811.6 cost_usd=0.0059
08:27:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:27:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:27:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:27:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:27:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:27:05 signed hash_algo=sha256 hash=sha256:f2840e8ac5ee9e9dce130d1938a8b376036f57610dca31bb80541e8de52c0c20

Content hash

sha256:f2840e8ac5ee9e9dce130d1938a8b376036f57610dca31bb80541e8de52c0c20

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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