The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-a-diode-s-i-v-curve-state-any-key-f-a1e2

stable pending witness
2026-05-29 04:23:43 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain a diode's I-V curve. State any key formula.
69 chars

Generation

A diode's I-V (current-voltage) curve shows that the device conducts current easily in the forward direction (positive voltage) but blocks current in the reverse direction (negative voltage). In forward bias, current increases exponentially once the voltage exceeds a threshold (typically ~0.7V for silicon), while in reverse bias, only a small leakage current flows until breakdown occurs at high negative voltages. The key formula is the **Shockley diode equation**: I = I₀(e^(qV/nkT) - 1), where I₀ is the reverse saturation current, q is electron charge, V is voltage across the diode, n is the ideality factor, k is Boltzmann's constant, and T is temperature.
30 tokens in · 172 tokens out · 3841 ms · $0.0027

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
3856.7 ms
Base LLM
3841.5 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0027

Trail

04:23:43 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
04:23:43 red_gate decision=pass reason=no disqualifying input patterns detected
04:23:47 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=172 latency_ms=3841.5 cost_usd=0.0027
04:23:47 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:23:47 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:23:47 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:23:47 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:23:47 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:23:47 signed hash_algo=sha256 hash=sha256:7f98e57089a90e6070192d6d6b2556a8e6550bda7060ff0496c37e3359982a3c

Content hash

sha256:7f98e57089a90e6070192d6d6b2556a8e6550bda7060ff0496c37e3359982a3c

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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