The Mechanism · Gated-generation receipt

gen-explain-a-p-value-as-you-would-to-a-capable-student-in-3-4-s-2de4

stable pending witness
2026-05-29 03:39:11 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain a p-value as you would to a capable student, in 3-4 sentences.
70 chars

Generation

A p-value tells you how surprising your data would be if there were actually no real effect or difference—just random chance at play. For example, if you're testing whether a new drug works and you get p = 0.03, this means there's only a 3% probability of seeing results this extreme (or more extreme) if the drug actually did nothing. A small p-value (typically less than 0.05) suggests your results are unlikely to be due to chance alone, giving you evidence that something real might be going on. However, it doesn't tell you *how big* or *how important* the effect is—just whether it's likely to be real rather than a fluke.
29 tokens in · 151 tokens out · 4893 ms · $0.0024

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
4901.1 ms
Base LLM
4893.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0024

Trail

03:39:11 received prompt_chars=70 verifiers=['scripture_anchors', 'theology_doctrine']
03:39:11 red_gate decision=pass reason=no disqualifying input patterns detected
03:39:15 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=151 latency_ms=4893.5 cost_usd=0.0024
03:39:15 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:39:15 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:39:15 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:39:15 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:39:15 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:39:15 signed hash_algo=sha256 hash=sha256:1a4b594332ce832ae0aa33b0634d890ab5792e93bd6250ad6a224675c9aea3c2

Content hash

sha256:1a4b594332ce832ae0aa33b0634d890ab5792e93bd6250ad6a224675c9aea3c2

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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