The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-kepler-s-laws-of-orbital-motion-sta-d6f5

stable pending witness
2026-05-29 03:51:53 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Kepler's laws of orbital motion. State any key formula.
81 chars

Generation

# Kepler's Laws of Orbital Motion **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 of the orbit.
30 tokens in · 164 tokens out · 3696 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
3707.3 ms
Base LLM
3696.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0025

Trail

03:51:53 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
03:51:53 red_gate decision=pass reason=no disqualifying input patterns detected
03:51:57 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=164 latency_ms=3696.3 cost_usd=0.0025
03:51:57 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:51:57 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:51:57 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:51:57 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:51:57 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:51:57 signed hash_algo=sha256 hash=sha256:75956b26be456312176bcef27d7588a3cbde5423f637a387714553f7734ac327

Content hash

sha256:75956b26be456312176bcef27d7588a3cbde5423f637a387714553f7734ac327

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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