The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-thevenin-s-theorem-state-any-key-fo-9ae2

stable pending witness
2026-05-29 06:54:35 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Thevenin's theorem. State any key formula.
68 chars

Generation

Thevenin's theorem states that any linear electrical network with voltage sources, current sources, and resistances can be replaced by an equivalent circuit consisting of a single voltage source (Thevenin voltage, VTH) in series with a single resistance (Thevenin resistance, RTH). The Thevenin voltage is the open-circuit voltage across the terminals of interest, while the Thevenin resistance is the equivalent resistance seen from those terminals with all independent sources deactivated (voltage sources short-circuited, current sources open-circuited). **Key formula:** VTH = Vopen-circuit and RTH = Vopen-circuit / Ishort-circuit (or calculated directly by deactivating sources)
28 tokens in · 162 tokens out · 4762 ms · $0.0025

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
4768.8 ms
Base LLM
4762.2 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0025

Trail

06:54:35 received prompt_chars=68 verifiers=['scripture_anchors', 'theology_doctrine']
06:54:35 red_gate decision=pass reason=no disqualifying input patterns detected
06:54:40 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=162 latency_ms=4762.2 cost_usd=0.0025
06:54:40 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:54:40 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:54:40 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:54:40 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:54:40 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:54:40 signed hash_algo=sha256 hash=sha256:778c0629f80f2c6f0f0d5ed592a05a673a4e7d76feec007bb74f3c3098eff8e0

Content hash

sha256:778c0629f80f2c6f0f0d5ed592a05a673a4e7d76feec007bb74f3c3098eff8e0

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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