The Mechanism · Gated-generation receipt

gen-state-channel-capacity-precisely-and-explain-why-it-matters-0df3

hold
2026-05-29 04:07:04 UTC · anthropic/claude-sonnet-4-5

Prompt

State channel capacity precisely and explain why it matters in 2-3 sentences.
77 chars

Generation

# Channel Capacity **Shannon's theorem**: C = B logâ‚‚(1 + SNR) bits/second Where C is capacity, B is bandwidth in Hz, and SNR is signal-to-noise ratio. **Why it matters**: This fundamental limit defines the maximum error-free data rate achievable over any communication channel, regardless of encoding scheme. It tells engineers whether their target data rate is theoretically possible and guides tradeoffs between bandwidth, power (which affects SNR), and data rate in system design.
24 tokens in · 115 tokens out · 4880 ms · $0.0018

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['regardless of']
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
4888.7 ms
Base LLM
4880.4 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0018

Trail

04:07:04 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
04:07:04 red_gate decision=pass reason=no disqualifying input patterns detected
04:07:09 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=115 latency_ms=4880.4 cost_usd=0.0018
04:07:09 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:07:09 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:07:09 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:07:09 way_gate decision=wait reason=output contains coercion language: ['regardless of']
04:07:09 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:07:09 signed hash_algo=sha256 hash=sha256:8d762216c9b8bc4b509b7d13f4f1200def0ee5777bedd4d00f04706ad56f9a99

Content hash

sha256:8d762216c9b8bc4b509b7d13f4f1200def0ee5777bedd4d00f04706ad56f9a99

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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