The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-formation-of-the-solar-system-s-ec72

stable pending witness
2026-05-29 02:34:24 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the formation of the solar system. State any key formula.
83 chars

Generation

The solar system formed approximately 4.6 billion years ago from a rotating cloud of gas and dust called the solar nebula, which collapsed under its own gravity. As the nebula contracted, conservation of angular momentum caused it to spin faster and flatten into a disk, with most mass accumulating at the center to form the Sun. The remaining material in the disk coalesced through accretion to form planets, moons, and other bodies. **Key formula**: Angular momentum conservation: **L = Iω = constant**, where L is angular momentum, I is moment of inertia, and ω is angular velocity (explaining why the nebula spun faster as it contracted).
28 tokens in · 146 tokens out · 3754 ms · $0.0023

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
3760.5 ms
Base LLM
3753.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0023

Trail

02:34:24 received prompt_chars=83 verifiers=['scripture_anchors', 'theology_doctrine']
02:34:24 red_gate decision=pass reason=no disqualifying input patterns detected
02:34:28 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=146 latency_ms=3753.9 cost_usd=0.0023
02:34:28 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:34:28 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:34:28 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:34:28 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:34:28 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:34:28 signed hash_algo=sha256 hash=sha256:34d9253ac300b6118d76240c4df1bfa59b3315dff8851558fa4da7206ee39f76

Content hash

sha256:34d9253ac300b6118d76240c4df1bfa59b3315dff8851558fa4da7206ee39f76

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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