The Mechanism · Gated-generation receipt

gen-state-a-p-value-precisely-and-explain-why-it-matters-in-2-3-9f6c

stable pending witness
2026-05-29 08:27:50 UTC · anthropic/claude-sonnet-4-5

Prompt

State a p-value precisely and explain why it matters in 2-3 sentences.
70 chars

Generation

## P-value Definition A **p-value** is the probability of obtaining results as extreme as, or more extreme than, the observed data, assuming the null hypothesis is true. ## Why It Matters The p-value matters because it quantifies the strength of evidence against the null hypothesis, helping researchers decide whether their findings are likely due to chance or represent a real effect. A small p-value (typically < 0.05) suggests the observed results would be unlikely under the null hypothesis, leading researchers to reject it in favor of an alternative explanation.
26 tokens in · 120 tokens out · 3867 ms · $0.0019

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
3873.6 ms
Base LLM
3866.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0019

Trail

08:27:50 received prompt_chars=70 verifiers=['scripture_anchors', 'theology_doctrine']
08:27:50 red_gate decision=pass reason=no disqualifying input patterns detected
08:27:54 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=120 latency_ms=3866.8 cost_usd=0.0019
08:27:54 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:27:54 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:27:54 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:27:54 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:27:54 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:27:54 signed hash_algo=sha256 hash=sha256:7dc9e71bd5e16f1852cff24d7a3875708c97e24efd6d49a478324b9a251c3fdc

Content hash

sha256:7dc9e71bd5e16f1852cff24d7a3875708c97e24efd6d49a478324b9a251c3fdc

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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