The Mechanism · Gated-generation receipt

gen-state-the-operational-amplifier-precisely-and-explain-why-it-26c1

stable pending witness
2026-05-29 04:31:24 UTC · anthropic/claude-sonnet-4-5

Prompt

State the operational amplifier precisely and explain why it matters in 2-3 sentences.
86 chars

Generation

# Operational Amplifier Definition An **operational amplifier (op-amp)** is a high-gain differential voltage amplifier with very high input impedance, very low output impedance, and ideally infinite open-loop gain that amplifies the voltage difference between its two inputs. ## Why It Matters Op-amps are fundamental building blocks of analog electronics because they can perform mathematical operations (addition, subtraction, integration, differentiation) and create precision circuits for filtering, buffering, and signal conditioning. Their near-ideal characteristics—when combined with negative feedback—allow engineers to design predictable, stable circuits whose behavior depends primarily on external passive components rather than the amplifier's imperfect properties, making them incredibly versatile and reliable for everything from audio equipment to medical instrumentation.
26 tokens in · 169 tokens out · 5482 ms · $0.0026

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
5496.3 ms
Base LLM
5481.5 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0026

Trail

04:31:24 received prompt_chars=86 verifiers=['scripture_anchors', 'theology_doctrine']
04:31:24 red_gate decision=pass reason=no disqualifying input patterns detected
04:31:29 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=169 latency_ms=5481.5 cost_usd=0.0026
04:31:29 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:31:29 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:31:29 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:31:29 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:31:29 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:31:29 signed hash_algo=sha256 hash=sha256:cd1903236ed2f3da2c648813545caf6a7c47f5caebbf837bcd1cd345a99734d8

Content hash

sha256:cd1903236ed2f3da2c648813545caf6a7c47f5caebbf837bcd1cd345a99734d8

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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