The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-kirchhoff-s-voltage-law-state-any-k-a1c3

stable pending witness
2026-05-29 08:16:30 UTC · anthropic/claude-sonnet-4-5

Prompt

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

Generation

Kirchhoff's voltage law (KVL) states that the algebraic sum of all voltages around any closed loop in an electrical circuit equals zero. This principle is based on the conservation of energy—the energy gained by charges must equal the energy lost as they complete a loop. The key formula is: **ΣV = 0** or **V₁ + V₂ + V₃ + ... + Vₙ = 0** When applying KVL, voltage rises (like across a battery) are typically counted as positive, while voltage drops (across resistors) are counted as negative, ensuring the sum equals zero around the complete loop.
29 tokens in · 150 tokens out · 3684 ms · $0.0023

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
3691.7 ms
Base LLM
3684.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0023

Trail

08:16:30 received prompt_chars=73 verifiers=['scripture_anchors', 'theology_doctrine']
08:16:30 red_gate decision=pass reason=no disqualifying input patterns detected
08:16:33 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=150 latency_ms=3684.0 cost_usd=0.0023
08:16:33 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:16:33 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:16:33 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:16:33 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:16:33 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:16:33 signed hash_algo=sha256 hash=sha256:ea281122824b21511cf3ecefaf06a25cf13ebcaffe6deaba8af34bcc8f85cfe9

Content hash

sha256:ea281122824b21511cf3ecefaf06a25cf13ebcaffe6deaba8af34bcc8f85cfe9

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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