The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-the-noisy-channel-theorem-answer-e3cd

stable pending witness
2026-05-29 02:51:55 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of the noisy-channel theorem? Answer concisely in 2-3 sentences.
89 chars

Generation

The noisy-channel theorem, proven by Claude Shannon in 1948, establishes that reliable communication is possible over noisy channels up to a fundamental limit called channel capacity. It demonstrates that by using appropriate error-correction coding, the error rate can be made arbitrarily small as long as the transmission rate stays below this capacity. This theorem is foundational to modern digital communications and information theory.
31 tokens in · 84 tokens out · 2462 ms · $0.0014

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
2470.6 ms
Base LLM
2461.7 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0014

Trail

02:51:55 received prompt_chars=89 verifiers=['scripture_anchors', 'theology_doctrine']
02:51:55 red_gate decision=pass reason=no disqualifying input patterns detected
02:51:58 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=84 latency_ms=2461.7 cost_usd=0.0014
02:51:58 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:51:58 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:51:58 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:51:58 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:51:58 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:51:58 signed hash_algo=sha256 hash=sha256:4538b7856d630b651f65bab4336a822d1262e59eed571cea317ca7911e5aeb0a

Content hash

sha256:4538b7856d630b651f65bab4336a822d1262e59eed571cea317ca7911e5aeb0a

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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