The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-series-versus-parallel-resistanc-e259

stable pending witness
2026-05-29 04:00:36 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of series versus parallel resistance? Answer concisely in 2-3 sentences.
97 chars

Generation

In **series circuits**, resistances add together (R_total = R₁ + R₂ + ...), increasing total resistance and causing the same current to flow through all components. In **parallel circuits**, resistances combine reciprocally (1/R_total = 1/R₁ + 1/R₂ + ...), decreasing total resistance and allowing current to split among multiple paths. This fundamental difference determines how voltage divides (series) versus how current divides (parallel) in electrical circuits.
29 tokens in · 115 tokens out · 10087 ms · $0.0018

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
10099.1 ms
Base LLM
10087.0 ms
Verifiers
0.1 ms
Gates
0.1 ms
Cost
$0.0018

Trail

04:00:36 received prompt_chars=97 verifiers=['scripture_anchors', 'theology_doctrine']
04:00:36 red_gate decision=pass reason=no disqualifying input patterns detected
04:00:46 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=115 latency_ms=10087.0 cost_usd=0.0018
04:00:46 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:00:46 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:00:46 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:00:46 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:00:46 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:00:46 signed hash_algo=sha256 hash=sha256:9668eaeb31b05a171f210e8bd683d6eb6c32324cf883c124e101c89a30028826

Content hash

sha256:9668eaeb31b05a171f210e8bd683d6eb6c32324cf883c124e101c89a30028826

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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