The Mechanism · Gated-generation receipt

gen-state-kirchhoff-s-voltage-law-precisely-and-explain-why-it-m-6db4

stable pending witness
2026-05-29 03:05:30 UTC · anthropic/claude-sonnet-4-5

Prompt

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

Generation

# Kirchhoff's Voltage Law (KVL) **Precise Statement:** The algebraic sum of all voltages around any closed loop in a circuit equals zero. Mathematically: ΣV = 0 (around a closed loop) **Why it matters:** KVL is essential for analyzing circuits because it allows us to write equations relating unknown voltages and currents in any circuit configuration. Combined with Ohm's law, it enables us to solve for all voltages and currents in complex networks, making it one of the fundamental tools in circuit analysis and design.
29 tokens in · 130 tokens out · 5321 ms · $0.002

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
5327.2 ms
Base LLM
5321.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

03:05:30 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
03:05:30 red_gate decision=pass reason=no disqualifying input patterns detected
03:05:35 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=130 latency_ms=5321.2 cost_usd=0.002
03:05:35 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:05:35 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:05:35 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:05:35 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:05:35 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:05:35 signed hash_algo=sha256 hash=sha256:5f8469710a47ec3c7c81c1040ebcb2d048b19d420b3b9e6e70bef17fc41fa8db

Content hash

sha256:5f8469710a47ec3c7c81c1040ebcb2d048b19d420b3b9e6e70bef17fc41fa8db

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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