The Mechanism · Gated-generation receipt

gen-explain-process-capability-index-cpk-as-you-would-to-a-capab-e52a

stable pending witness
2026-05-29 08:50:45 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain process capability index (Cpk) as you would to a capable student, in 3-4 sentences.
91 chars

Generation

Cpk is a measure of how well your process fits within specification limits, accounting for both variation and centering. It compares the spread of your process (measured by standard deviation) to the distance between your process mean and the nearest specification limit—essentially asking "how many times does my process variation fit into the available space?" A Cpk of 1.0 means your process just barely fits within specs, while 1.33 or higher indicates a capable process with breathing room. Unlike Cp which only measures variation, Cpk penalizes you if your process average drifts off-center, making it a more realistic indicator of real-world performance.
33 tokens in · 143 tokens out · 4326 ms · $0.0022

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
4332.4 ms
Base LLM
4325.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

08:50:45 received prompt_chars=91 verifiers=['scripture_anchors', 'theology_doctrine']
08:50:45 red_gate decision=pass reason=no disqualifying input patterns detected
08:50:49 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=33 tokens_out=143 latency_ms=4325.5 cost_usd=0.0022
08:50:49 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:50:49 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:50:49 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:50:49 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:50:49 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:50:49 signed hash_algo=sha256 hash=sha256:023d699457cc87f4e29d5968892f1a6d8e7bc3413cec36249b724d46f7701c2c

Content hash

sha256:023d699457cc87f4e29d5968892f1a6d8e7bc3413cec36249b724d46f7701c2c

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.

Bring another teaching · Run a discernment