The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-adiabatic-lapse-rate-state-any-key-6298

stable pending witness
2026-05-29 08:46:24 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain adiabatic lapse rate. State any key formula.
70 chars

Generation

The adiabatic lapse rate describes how temperature changes with altitude as an air parcel rises or descends without exchanging heat with its surroundings. For dry air, the **dry adiabatic lapse rate (DALR)** is approximately **9.8°C/km** or about 10°C per kilometer of elevation change. When air is saturated with moisture, latent heat release from condensation reduces the cooling rate to the **saturated (moist) adiabatic lapse rate (SALR)**, which averages about **6°C/km** but varies with temperature and pressure. The key formula for DALR is **Γ_d = g/c_p ≈ 9.8 K/km**, where g is gravitational acceleration and c_p is the specific heat at constant pressure.
29 tokens in · 189 tokens out · 4731 ms · $0.0029

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
4737.6 ms
Base LLM
4730.6 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0029

Trail

08:46:24 received prompt_chars=70 verifiers=['scripture_anchors', 'theology_doctrine']
08:46:24 red_gate decision=pass reason=no disqualifying input patterns detected
08:46:29 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=189 latency_ms=4730.6 cost_usd=0.0029
08:46:29 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:46:29 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:46:29 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:46:29 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:46:29 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:46:29 signed hash_algo=sha256 hash=sha256:688c2fef1cb842ef27de316ea90f1a7d1e1dd32014ec938738bc613821293aca

Content hash

sha256:688c2fef1cb842ef27de316ea90f1a7d1e1dd32014ec938738bc613821293aca

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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