The Mechanism · Gated-generation receipt

gen-explain-kepler-s-three-laws-as-you-would-to-a-capable-studen-9328

stable pending witness
2026-05-29 07:36:10 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain Kepler's three laws as you would to a capable student, in 3-4 sentences.
80 chars

Generation

# Kepler's Three Laws **First Law (Ellipses):** Planets orbit the Sun in elliptical paths, not perfect circles, with the Sun located at one focus of the ellipse—this means planets are sometimes closer to the Sun and sometimes farther away. **Second Law (Equal Areas):** A line connecting a planet to the Sun sweeps out equal areas in equal time intervals, which means planets move faster when they're closer to the Sun and slower when they're farther away. **Third Law (Harmonic Law):** The square of a planet's orbital period is proportional to the cube of its average distance from the Sun (T² ∝ a³), so planets farther from the Sun take disproportionately longer to complete their orbits—for example, doubling the distance more than doubles the orbital period.
31 tokens in · 187 tokens out · 4817 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
4823.8 ms
Base LLM
4816.6 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0029

Trail

07:36:10 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
07:36:10 red_gate decision=pass reason=no disqualifying input patterns detected
07:36:14 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=187 latency_ms=4816.6 cost_usd=0.0029
07:36:14 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:36:14 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:36:14 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:36:14 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:36:14 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:36:14 signed hash_algo=sha256 hash=sha256:d74edaeff4696f85c65168c546e8ca2c96bff1ccd765420001a7ebd68b8d7bb7

Content hash

sha256:d74edaeff4696f85c65168c546e8ca2c96bff1ccd765420001a7ebd68b8d7bb7

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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