The Mechanism · Gated-generation receipt

gen-state-the-water-vapor-saturation-curve-precisely-and-explain-4c56

stable pending witness
2026-05-29 04:43:03 UTC · anthropic/claude-sonnet-4-5

Prompt

State the water vapor saturation curve precisely and explain why it matters in 2-3 sentences.
93 chars

Generation

# Water Vapor Saturation Curve The **Clausius-Clapeyron equation** describes the saturation vapor pressure: es(T) ≈ es₀ · exp[L/Rv · (1/T₀ - 1/T)], where L is latent heat of vaporization, Rv is the gas constant for water vapor, and T is temperature in Kelvin. Practically, saturation vapor pressure approximately doubles every 10°C (e.g., ~6 mb at 0°C, ~12 mb at 10°C, ~24 mb at 20°C). This matters because it determines maximum atmospheric moisture capacity, governing cloud formation, precipitation, humidity limits, and explaining why warmer air can hold exponentially more water vapor—a critical factor in weather, climate change, and the intensification of the hydrological cycle.
28 tokens in · 200 tokens out · 5325 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
5335.8 ms
Base LLM
5325.4 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0031

Trail

04:43:03 received prompt_chars=93 verifiers=['scripture_anchors', 'theology_doctrine']
04:43:03 red_gate decision=pass reason=no disqualifying input patterns detected
04:43:08 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=200 latency_ms=5325.4 cost_usd=0.0031
04:43:08 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:43:08 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:43:08 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:43:08 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:43:08 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:43:08 signed hash_algo=sha256 hash=sha256:741bd64bc860968df66f0481e470c2148b832d10e0cecb15cf6189f633d7b770

Content hash

sha256:741bd64bc860968df66f0481e470c2148b832d10e0cecb15cf6189f633d7b770

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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