The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-quality-control-sampling-state-any-dc9c

stable pending witness
2026-05-29 08:59:23 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain quality control sampling. State any key formula.
74 chars

Generation

Quality control sampling is a statistical process where a subset of items from a production batch is inspected to determine whether the entire batch meets quality standards. Rather than testing every single item (which can be costly or destructive), inspectors examine a random sample and make inferences about the whole population based on the results. A key formula is the **sample size calculation**: **n = (Z²× p × (1-p)) / E²** where n is the sample size, Z is the Z-score for desired confidence level, p is the estimated proportion of defects, and E is the acceptable margin of error.
25 tokens in · 134 tokens out · 3861 ms · $0.0021

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
3868.2 ms
Base LLM
3861.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

08:59:23 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
08:59:23 red_gate decision=pass reason=no disqualifying input patterns detected
08:59:27 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=134 latency_ms=3861.3 cost_usd=0.0021
08:59:27 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:59:27 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:59:27 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:59:27 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:59:27 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:59:27 signed hash_algo=sha256 hash=sha256:83cde4db3b972521d438fb9c2ce67e472e33b100a971ee9bae807beb2f4e3346

Content hash

sha256:83cde4db3b972521d438fb9c2ce67e472e33b100a971ee9bae807beb2f4e3346

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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