The Mechanism · Gated-generation receipt

gen-state-the-voltage-divider-precisely-and-explain-why-it-matte-ff4f

stable pending witness
2026-05-29 05:21:00 UTC · anthropic/claude-sonnet-4-5

Prompt

State the voltage divider precisely and explain why it matters in 2-3 sentences.
80 chars

Generation

# Voltage Divider Rule **V_out = V_in × (R₂/(R₁ + R₂))** where V_out is measured across R₂ in a series circuit with resistors R₁ and R₂. ## Why It Matters The voltage divider is fundamental because it allows us to create any desired lower voltage from a fixed supply using just two resistors, making it essential for biasing transistors, creating reference voltages, and interfacing sensors. It explains how voltage distributes proportionally across series resistances, which is critical for analyzing virtually every electronic circuit. This simple relationship is one of the most frequently applied concepts in both analog and digital circuit design.
26 tokens in · 157 tokens out · 5135 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
5145.6 ms
Base LLM
5134.7 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0024

Trail

05:21:00 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
05:21:00 red_gate decision=pass reason=no disqualifying input patterns detected
05:21:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=157 latency_ms=5134.7 cost_usd=0.0024
05:21:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:21:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:21:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:21:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:21:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:21:05 signed hash_algo=sha256 hash=sha256:fe77344d448532362ce627f8790b1f01f81f7d67c1db45924bdbdf74b6df693d

Content hash

sha256:fe77344d448532362ce627f8790b1f01f81f7d67c1db45924bdbdf74b6df693d

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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