The Mechanism · Gated-generation receipt

gen-explain-series-versus-parallel-resistance-as-you-would-to-a-08a3

stable pending witness
2026-05-29 04:21:00 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain series versus parallel resistance as you would to a capable student, in 3-4 sentences.
94 chars

Generation

# Series vs Parallel Resistance **Series resistance** is like connecting resistors in a single chain—current must flow through each one in turn, so the resistances add up (R_total = R₁ + R₂ + R₃...). Think of it as water flowing through multiple pipes connected end-to-end; each pipe restricts the flow, making the total restriction greater. **Parallel resistance** is when resistors are connected side-by-side, giving current multiple paths to flow through simultaneously, which actually *decreases* total resistance (1/R_total = 1/R₁ + 1/R₂ + 1/R₃...). This is like water having multiple pipes to choose from—more pathways means easier overall flow and less total resistance.
29 tokens in · 178 tokens out · 4750 ms · $0.0028

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
4757.1 ms
Base LLM
4749.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0028

Trail

04:21:00 received prompt_chars=94 verifiers=['scripture_anchors', 'theology_doctrine']
04:21:00 red_gate decision=pass reason=no disqualifying input patterns detected
04:21:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=178 latency_ms=4749.5 cost_usd=0.0028
04:21:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:21:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:21:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:21:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:21:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:21:05 signed hash_algo=sha256 hash=sha256:2226cbe85e0797724e01089a28f7061b1e7a4de9adfa8dfea88ecb5206c913b4

Content hash

sha256:2226cbe85e0797724e01089a28f7061b1e7a4de9adfa8dfea88ecb5206c913b4

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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