The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-kirchhoff-s-current-law-state-any-k-74e2

stable pending witness
2026-05-29 08:20:13 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Kirchhoff's current law. State any key formula.
73 chars

Generation

# Kirchhoff's Current Law (KCL) Kirchhoff's Current Law states that the total current entering a node (junction) in an electrical circuit must equal the total current leaving that node. This principle is based on the conservation of electric charge—charge cannot accumulate at a node, so what flows in must flow out. **Key Formula:** $$\sum I_{in} = \sum I_{out}$$ or equivalently: $$\sum I = 0$$ where currents entering the node are considered positive and currents leaving are considered negative (or vice versa).
29 tokens in · 133 tokens out · 3564 ms · $0.0021

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
3571.3 ms
Base LLM
3564.2 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0021

Trail

08:20:13 received prompt_chars=73 verifiers=['scripture_anchors', 'theology_doctrine']
08:20:13 red_gate decision=pass reason=no disqualifying input patterns detected
08:20:17 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=133 latency_ms=3564.2 cost_usd=0.0021
08:20:17 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:20:17 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:20:17 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:20:17 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:20:17 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:20:17 signed hash_algo=sha256 hash=sha256:e3ad915d2031fd72318cbccd61bba03aac9959ade93a9d266592e366eeaec7eb

Content hash

sha256:e3ad915d2031fd72318cbccd61bba03aac9959ade93a9d266592e366eeaec7eb

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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