The Mechanism · Gated-generation receipt

gen-explain-the-binary-symmetric-channel-as-you-would-to-a-capab-5add

stable pending witness
2026-05-29 05:33:01 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the binary symmetric channel as you would to a capable student, in 3-4 sentences.
89 chars

Generation

A binary symmetric channel is a communication model where you send bits (0s and 1s) through a noisy channel that can randomly flip each bit with some fixed probability *p* called the crossover probability. The key word "symmetric" means that a 0 has the same probability of flipping to 1 as a 1 has of flipping to 0. For example, if p = 0.1, then each bit you send has a 10% chance of being received incorrectly and a 90% chance of being received correctly. This simple model is fundamental in information theory for understanding channel capacity and designing error-correcting codes.
29 tokens in · 142 tokens out · 4105 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
4114.6 ms
Base LLM
4105.1 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

05:33:01 received prompt_chars=89 verifiers=['scripture_anchors', 'theology_doctrine']
05:33:01 red_gate decision=pass reason=no disqualifying input patterns detected
05:33:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=142 latency_ms=4105.1 cost_usd=0.0022
05:33:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:33:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:33:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:33:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:33:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:33:05 signed hash_algo=sha256 hash=sha256:ad0a17d2f7dbccc9ff70dfbce90975c7df639af8d267e1ef6c9b22ad439d4867

Content hash

sha256:ad0a17d2f7dbccc9ff70dfbce90975c7df639af8d267e1ef6c9b22ad439d4867

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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