The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-kepler-s-three-laws-state-any-key-f-9eec

stable pending witness
2026-05-29 05:13:20 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Kepler's three laws. State any key formula.
69 chars

Generation

# Kepler's Three Laws **First Law (Law of Ellipses):** Planets orbit the Sun in elliptical paths with the Sun at one focus of the ellipse. **Second Law (Law of Equal Areas):** A line connecting a planet to the Sun sweeps out equal areas in equal time intervals, meaning planets move faster when closer to the Sun and slower when farther away. **Third Law (Law of Harmonies):** The square of a planet's orbital period is proportional to the cube of its semi-major axis: **T² ∝ a³** or **T²/a³ = constant** (where T is the orbital period and a is the semi-major axis).
28 tokens in · 159 tokens out · 3763 ms · $0.0025

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
3770.3 ms
Base LLM
3762.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0025

Trail

05:13:20 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
05:13:20 red_gate decision=pass reason=no disqualifying input patterns detected
05:13:24 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=159 latency_ms=3762.8 cost_usd=0.0025
05:13:24 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:13:24 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:13:24 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:13:24 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:13:24 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:13:24 signed hash_algo=sha256 hash=sha256:e37d327cc7a984529e8129a7afa9d57fa98bf372ddf1380c34e59bed179fa56f

Content hash

sha256:e37d327cc7a984529e8129a7afa9d57fa98bf372ddf1380c34e59bed179fa56f

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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