The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-the-day-of-the-week-from-a-date-7102

stable pending witness
2026-05-29 02:50:37 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of the day of the week from a date (Zeller's congruence)? Answer concisely in 2-3 sentences.
117 chars

Generation

Zeller's congruence is a mathematical algorithm that calculates the day of the week for any given date in the Gregorian or Julian calendar. Its significance lies in providing a quick, formula-based method to determine what day of the week a historical or future date falls on without needing a calendar, making it useful for scheduling, historical research, and computer programming.
42 tokens in · 80 tokens out · 2264 ms · $0.0013

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
2271.2 ms
Base LLM
2263.9 ms
Verifiers
0.1 ms
Gates
0.1 ms
Cost
$0.0013

Trail

02:50:37 received prompt_chars=117 verifiers=['scripture_anchors', 'theology_doctrine']
02:50:37 red_gate decision=pass reason=no disqualifying input patterns detected
02:50:39 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=42 tokens_out=80 latency_ms=2263.9 cost_usd=0.0013
02:50:39 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:50:39 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:50:39 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:50:39 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:50:39 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:50:39 signed hash_algo=sha256 hash=sha256:4cf3a7743e130ced55f0fde6a93c269cf480d696723f8a2ebd2b1048136497fa

Content hash

sha256:4cf3a7743e130ced55f0fde6a93c269cf480d696723f8a2ebd2b1048136497fa

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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