The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-power-factor-state-any-key-formula-5eb2

stable pending witness
2026-05-29 06:18:59 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain power factor. State any key formula.
62 chars

Generation

Power factor is the ratio of real power (doing useful work) to apparent power (total power supplied) in an AC electrical system. It measures how efficiently electrical power is being converted into useful work output, with values ranging from 0 to 1 (or 0% to 100%). A low power factor means more current is required to deliver the same amount of useful power, resulting in increased losses and reduced system efficiency. **Key formula:** Power Factor = Real Power (W) / Apparent Power (VA) = cos φ, where φ is the phase angle between voltage and current.
24 tokens in · 128 tokens out · 3629 ms · $0.002

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
3638.9 ms
Base LLM
3628.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

06:18:59 received prompt_chars=62 verifiers=['scripture_anchors', 'theology_doctrine']
06:18:59 red_gate decision=pass reason=no disqualifying input patterns detected
06:19:02 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=128 latency_ms=3628.9 cost_usd=0.002
06:19:02 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:19:02 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:19:02 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:19:02 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:19:02 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:19:02 signed hash_algo=sha256 hash=sha256:dc2b51350d3e53ade48a9a3f89fd0ec7f83f2e5ff4c06fbffbc9c27806132160

Content hash

sha256:dc2b51350d3e53ade48a9a3f89fd0ec7f83f2e5ff4c06fbffbc9c27806132160

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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