The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-phases-of-the-moon-state-any-ke-dbf9

stable pending witness
2026-05-29 03:14:07 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the phases of the Moon. State any key formula.
72 chars

Generation

The phases of the Moon result from the changing angle between the Sun, Earth, and Moon as the Moon orbits Earth approximately every 29.5 days (synodic period). We see different portions of the Moon's illuminated half depending on its position: new moon (between Earth and Sun), first quarter (90° from Sun), full moon (opposite the Sun), and third quarter (270° from Sun). The **illuminated fraction** can be calculated using: **f = (1 - cos θ)/2**, where θ is the angle between the Sun and Moon as seen from Earth. The complete cycle from new moon to new moon is called a **synodic month** ≈ 29.53 days.
27 tokens in · 158 tokens out · 4218 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
4232.6 ms
Base LLM
4218.4 ms
Verifiers
0.4 ms
Gates
0.1 ms
Cost
$0.0025

Trail

03:14:07 received prompt_chars=72 verifiers=['scripture_anchors', 'theology_doctrine']
03:14:07 red_gate decision=pass reason=no disqualifying input patterns detected
03:14:12 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=158 latency_ms=4218.4 cost_usd=0.0025
03:14:12 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:14:12 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:14:12 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:14:12 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:14:12 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:14:12 signed hash_algo=sha256 hash=sha256:6433821d162f393c24a8c443f47f6deca43905ac107433c9f300d37cd817bdc9

Content hash

sha256:6433821d162f393c24a8c443f47f6deca43905ac107433c9f300d37cd817bdc9

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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