The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-series-versus-parallel-resistance-s-df10

stable pending witness
2026-05-29 04:32:27 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain series versus parallel resistance. State any key formula.
83 chars

Generation

# Series vs Parallel Resistance **Series resistance** occurs when resistors are connected end-to-end in a single path, causing the same current to flow through each resistor. The total resistance is the sum of individual resistances: **R_total = R₁ + R₂ + R₃ + ...** **Parallel resistance** occurs when resistors are connected across the same two points, creating multiple current paths with the same voltage across each resistor. The total resistance is found using: **1/R_total = 1/R₁ + 1/R₂ + 1/R₃ + ...**, which always results in a total resistance smaller than the smallest individual resistor.
26 tokens in · 161 tokens out · 3438 ms · $0.0025

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
3445.6 ms
Base LLM
3438.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0025

Trail

04:32:27 received prompt_chars=83 verifiers=['scripture_anchors', 'theology_doctrine']
04:32:27 red_gate decision=pass reason=no disqualifying input patterns detected
04:32:30 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=161 latency_ms=3438.2 cost_usd=0.0025
04:32:30 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:32:30 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:32:30 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:32:30 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:32:30 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:32:30 signed hash_algo=sha256 hash=sha256:ecdf0b893750801b811b48e0279b15c12f5c43076c1cd6b13a65b1ea0aee7363

Content hash

sha256:ecdf0b893750801b811b48e0279b15c12f5c43076c1cd6b13a65b1ea0aee7363

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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