The Mechanism · Gated-generation receipt

gen-state-a-diode-s-i-v-curve-precisely-and-explain-why-it-matte-4e5a

stable pending witness
2026-05-29 07:03:07 UTC · anthropic/claude-sonnet-4-5

Prompt

State a diode's I-V curve precisely and explain why it matters in 2-3 sentences.
80 chars

Generation

# Diode I-V Curve **Precise equation:** I = I_s(e^(qV/nkT) - 1), where I_s is reverse saturation current, q is electron charge, V is voltage across the diode, n is the ideality factor (~1-2), k is Boltzmann's constant, and T is absolute temperature. **Why it matters:** This exponential relationship means the diode conducts current easily in forward bias (V > ~0.7V for silicon) but blocks current in reverse bias, making it function as a one-way valve for electricity. This asymmetric behavior is fundamental to rectification, signal detection, voltage regulation, and virtually all modern electronics.
30 tokens in · 161 tokens out · 5834 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
5840.7 ms
Base LLM
5833.5 ms
Verifiers
0.4 ms
Gates
0.1 ms
Cost
$0.0025

Trail

07:03:07 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
07:03:07 red_gate decision=pass reason=no disqualifying input patterns detected
07:03:13 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=161 latency_ms=5833.5 cost_usd=0.0025
07:03:13 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:03:13 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:03:13 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:03:13 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:03:13 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:03:13 signed hash_algo=sha256 hash=sha256:f34dd5b48c832293e4356e64f473bfa1c1a453ae047b56945d020810d91e932a

Content hash

sha256:f34dd5b48c832293e4356e64f473bfa1c1a453ae047b56945d020810d91e932a

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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