The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-gregorian-leap-year-rule-state-b81c

stable pending witness
2026-05-29 05:56:03 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the Gregorian leap-year rule. State any key formula.
78 chars

Generation

The Gregorian leap-year rule determines which years have 366 days instead of 365 to keep the calendar aligned with Earth's orbit. A year is a leap year if it is divisible by 4, **except** for years divisible by 100, which are not leap years, **unless** they are also divisible by 400. This can be expressed as: a year Y is a leap year if `(Y mod 4 = 0) AND (Y mod 100 ≠ 0) OR (Y mod 400 = 0)`. For example, 2000 was a leap year (divisible by 400), but 1900 was not (divisible by 100 but not 400).
30 tokens in · 166 tokens out · 3002 ms · $0.0026

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
3011.1 ms
Base LLM
3002.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0026

Trail

05:56:03 received prompt_chars=78 verifiers=['scripture_anchors', 'theology_doctrine']
05:56:03 red_gate decision=pass reason=no disqualifying input patterns detected
05:56:06 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=166 latency_ms=3002.5 cost_usd=0.0026
05:56:06 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:56:06 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:56:06 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:56:06 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:56:06 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:56:06 signed hash_algo=sha256 hash=sha256:8ca0e18b8adb0d287486b38b3ba6445eb0233135ea73ea789fbc53fc54b13cd4

Content hash

sha256:8ca0e18b8adb0d287486b38b3ba6445eb0233135ea73ea789fbc53fc54b13cd4

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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