The Mechanism · Gated-generation receipt

gen-state-kirchhoff-s-current-law-precisely-and-explain-why-it-m-43a5

stable pending witness
2026-05-29 08:36:20 UTC · anthropic/claude-sonnet-4-5

Prompt

State Kirchhoff's current law precisely and explain why it matters in 2-3 sentences.
84 chars

Generation

## Kirchhoff's Current Law (KCL) **Precise Statement:** The algebraic sum of all currents entering and leaving a node (junction) in an electrical circuit equals zero, or equivalently, the total current entering a node equals the total current leaving that node. **Why It Matters:** KCL is fundamental for analyzing any electrical circuit because it expresses conservation of electric charge—charge cannot accumulate at a node, so what flows in must flow out. This law, combined with Kirchhoff's Voltage Law, provides the mathematical foundation for solving complex circuits and is essential for everything from designing electronic devices to analyzing power distribution systems.
29 tokens in · 142 tokens out · 4576 ms · $0.0022

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
4588.2 ms
Base LLM
4576.0 ms
Verifiers
0.4 ms
Gates
0.1 ms
Cost
$0.0022

Trail

08:36:20 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
08:36:20 red_gate decision=pass reason=no disqualifying input patterns detected
08:36:25 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=142 latency_ms=4576.0 cost_usd=0.0022
08:36:25 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:36:25 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:36:25 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:36:25 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:36:25 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:36:25 signed hash_algo=sha256 hash=sha256:5f56c475aa9acb8ed26c7344996e4be3ee891e98cfc4207b02fc908bd30e04f5

Content hash

sha256:5f56c475aa9acb8ed26c7344996e4be3ee891e98cfc4207b02fc908bd30e04f5

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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