The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-the-normal-distribution-answer-c-564e

hold
2026-05-29 07:33:07 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of the normal distribution? Answer concisely in 2-3 sentences.
87 chars

Generation

The normal distribution is fundamental in statistics because many natural phenomena and measurement errors follow this bell-shaped pattern, and sample means tend toward it regardless of the underlying distribution (Central Limit Theorem). It serves as the foundation for many statistical tests, confidence intervals, and predictive models, making it essential for data analysis and inference across virtually all scientific fields.
28 tokens in · 74 tokens out · 3015 ms · $0.0012

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['regardless of']
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
3022.6 ms
Base LLM
3015.2 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0012

Trail

07:33:07 received prompt_chars=87 verifiers=['scripture_anchors', 'theology_doctrine']
07:33:07 red_gate decision=pass reason=no disqualifying input patterns detected
07:33:10 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=74 latency_ms=3015.2 cost_usd=0.0012
07:33:10 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:33:10 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:33:10 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:33:10 way_gate decision=wait reason=output contains coercion language: ['regardless of']
07:33:10 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:33:10 signed hash_algo=sha256 hash=sha256:91855e6dfd8a777d82b4916beb2f8107d767fcbed7caf0daba48f719a0adf32d

Content hash

sha256:91855e6dfd8a777d82b4916beb2f8107d767fcbed7caf0daba48f719a0adf32d

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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