The Mechanism · Gated-generation receipt

gen-explain-thevenin-s-theorem-as-you-would-to-a-capable-student-b4a8

stable pending witness
2026-05-29 08:52:48 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain Thevenin's theorem as you would to a capable student, in 3-4 sentences.
79 chars

Generation

Thevenin's theorem states that any linear circuit with voltage sources, current sources, and resistors can be simplified to a single voltage source (Thevenin voltage, VTH) in series with a single resistor (Thevenin resistance, RTH) when viewed from two terminals. To find VTH, you calculate the open-circuit voltage across those terminals, and to find RTH, you "turn off" all independent sources (replace voltage sources with short circuits and current sources with open circuits) and calculate the equivalent resistance looking back into the circuit. This powerful simplification technique makes analyzing complex circuits much easier, especially when you need to determine how the circuit behaves with different loads connected to those terminals.
31 tokens in · 153 tokens out · 4437 ms · $0.0024

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
4444.0 ms
Base LLM
4437.0 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0024

Trail

08:52:48 received prompt_chars=79 verifiers=['scripture_anchors', 'theology_doctrine']
08:52:48 red_gate decision=pass reason=no disqualifying input patterns detected
08:52:53 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=153 latency_ms=4437.0 cost_usd=0.0024
08:52:53 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:52:53 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:52:53 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:52:53 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:52:53 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:52:53 signed hash_algo=sha256 hash=sha256:3400b1488dcecd7e4edb973fe988d389f953e568e1a4d4ebffb940bff1a86ab5

Content hash

sha256:3400b1488dcecd7e4edb973fe988d389f953e568e1a4d4ebffb940bff1a86ab5

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.

Bring another teaching · Run a discernment