The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-jet-stream-state-any-key-formul-f428

stable pending witness
2026-05-29 03:01:24 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the jet stream. State any key formula.
64 chars

Generation

The jet stream is a fast-flowing, narrow air current found in the upper atmosphere (typically 9-16 km altitude) that flows from west to east in both hemispheres. It forms due to temperature gradients between polar and tropical air masses, which create pressure differences that drive strong winds. The jet stream follows the **thermal wind relationship**: ∂V/∂z = (g/fT₀)(∂T/∂y), where V is wind speed, z is height, g is gravity, f is the Coriolis parameter, T₀ is reference temperature, and ∂T/∂y is the horizontal temperature gradient. This relationship shows that vertical wind shear is proportional to the horizontal temperature gradient, explaining why jet streams are strongest where temperature contrasts are greatest.
25 tokens in · 176 tokens out · 5438 ms · $0.0027

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
5444.2 ms
Base LLM
5437.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0027

Trail

03:01:24 received prompt_chars=64 verifiers=['scripture_anchors', 'theology_doctrine']
03:01:24 red_gate decision=pass reason=no disqualifying input patterns detected
03:01:29 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=176 latency_ms=5437.8 cost_usd=0.0027
03:01:29 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:01:29 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:01:29 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:01:29 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:01:29 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:01:29 signed hash_algo=sha256 hash=sha256:f2f225117424cebab357580df2e2d2f9b6a3c26cbd1786b128369c4ff4d55e1b

Content hash

sha256:f2f225117424cebab357580df2e2d2f9b6a3c26cbd1786b128369c4ff4d55e1b

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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