The Mechanism · Gated-generation receipt

gen-explain-the-operational-amplifier-as-you-would-to-a-capable-29d7

stable pending witness
2026-05-29 05:23:15 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the operational amplifier as you would to a capable student, in 3-4 sentences.
86 chars

Generation

An operational amplifier (op-amp) is a high-gain voltage amplifier with two inputs (inverting and non-inverting) and one output. It amplifies the voltage difference between its inputs by a very large factor (typically 100,000+), but in practical circuits we use negative feedback to control this gain and create predictable, stable behavior. The op-amp follows two key rules: it tries to make both input voltages equal, and it draws essentially zero current from its inputs. These properties make op-amps incredibly versatile for building circuits like amplifiers, filters, comparators, and mathematical operations (adding, integrating, differentiating voltages).
29 tokens in · 144 tokens out · 4738 ms · $0.0022

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
4745.3 ms
Base LLM
4737.9 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0022

Trail

05:23:15 received prompt_chars=86 verifiers=['scripture_anchors', 'theology_doctrine']
05:23:15 red_gate decision=pass reason=no disqualifying input patterns detected
05:23:20 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=144 latency_ms=4737.9 cost_usd=0.0022
05:23:20 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:23:20 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:23:20 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:23:20 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:23:20 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:23:20 signed hash_algo=sha256 hash=sha256:a8717af807e2244bdbdcef43750b969ce0b4ffa0cdea55798836e8ee234371eb

Content hash

sha256:a8717af807e2244bdbdcef43750b969ce0b4ffa0cdea55798836e8ee234371eb

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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