The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-process-capability-index-cpk-ans-3006

stable pending witness
2026-05-29 06:41:31 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of process capability index (Cpk)? Answer concisely in 2-3 sentences.
94 chars

Generation

Cpk measures how well a process can consistently produce output within specification limits, accounting for both process variation and how centered the process is on the target. A Cpk value of 1.33 or higher indicates a capable process, meaning it can reliably meet customer requirements with minimal defects. It serves as a critical metric for quality control, helping manufacturers predict defect rates and identify processes needing improvement.
33 tokens in · 88 tokens out · 3187 ms · $0.0014

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
3193.3 ms
Base LLM
3186.7 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0014

Trail

06:41:31 received prompt_chars=94 verifiers=['scripture_anchors', 'theology_doctrine']
06:41:31 red_gate decision=pass reason=no disqualifying input patterns detected
06:41:34 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=33 tokens_out=88 latency_ms=3186.7 cost_usd=0.0014
06:41:34 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:41:34 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:41:34 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:41:34 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:41:34 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:41:34 signed hash_algo=sha256 hash=sha256:1da0c549a4735a61e5d6c3009796bfd2f783c5adb50ecf378ae943455e5b4dcd

Content hash

sha256:1da0c549a4735a61e5d6c3009796bfd2f783c5adb50ecf378ae943455e5b4dcd

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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