The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-the-binary-symmetric-channel-ans-c256

stable pending witness
2026-05-29 07:23:40 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of the binary symmetric channel? Answer concisely in 2-3 sentences.
92 chars

Generation

The binary symmetric channel (BSC) is a fundamental model in information theory that represents the simplest noisy communication channel, where each transmitted bit has an independent probability *p* of being flipped during transmission. It serves as a cornerstone for understanding channel capacity, error correction, and the theoretical limits of reliable communication, with Claude Shannon using it to develop key concepts in his groundbreaking information theory. The BSC's mathematical tractability makes it an essential building block for analyzing more complex communication systems.
29 tokens in · 105 tokens out · 3367 ms · $0.0017

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
3376.3 ms
Base LLM
3366.8 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0017

Trail

07:23:40 received prompt_chars=92 verifiers=['scripture_anchors', 'theology_doctrine']
07:23:40 red_gate decision=pass reason=no disqualifying input patterns detected
07:23:43 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=105 latency_ms=3366.8 cost_usd=0.0017
07:23:43 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:23:43 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:23:43 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:23:43 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:23:43 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:23:43 signed hash_algo=sha256 hash=sha256:7f643315fc31aeb93e692a23ca995202ef3089df5836fc84b13cda0a516487d2

Content hash

sha256:7f643315fc31aeb93e692a23ca995202ef3089df5836fc84b13cda0a516487d2

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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