The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-channel-capacity-state-any-key-form-6ab2

stable pending witness
2026-05-29 08:23:32 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain channel capacity. State any key formula.
66 chars

Generation

Channel capacity is the maximum rate at which information can be reliably transmitted over a communication channel in the presence of noise. It represents the theoretical upper limit of error-free data transmission, measured in bits per second. The **Shannon-Hartley theorem** gives the key formula for a continuous channel with additive white Gaussian noise: **C = B logâ‚‚(1 + S/N)** where C is the channel capacity in bits/second, B is the bandwidth in Hz, and S/N is the signal-to-noise ratio.
24 tokens in · 120 tokens out · 2641 ms · $0.0019

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
2646.1 ms
Base LLM
2640.6 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0019

Trail

08:23:32 received prompt_chars=66 verifiers=['scripture_anchors', 'theology_doctrine']
08:23:32 red_gate decision=pass reason=no disqualifying input patterns detected
08:23:35 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=120 latency_ms=2640.6 cost_usd=0.0019
08:23:35 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:23:35 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:23:35 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:23:35 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:23:35 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:23:35 signed hash_algo=sha256 hash=sha256:27449b4f3357fa765c3afab08a3382a8c61705095efdcfd9e3de796582681c02

Content hash

sha256:27449b4f3357fa765c3afab08a3382a8c61705095efdcfd9e3de796582681c02

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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