The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-shannon-entropy-state-any-key-formu-69cb

stable pending witness
2026-05-29 05:24:53 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Shannon entropy. State any key formula.
65 chars

Generation

Shannon entropy measures the average amount of uncertainty or information content in a random variable or message source. It quantifies how unpredictable or "surprising" the outcomes are on average. The key formula is: **H(X) = -Σ p(xᵢ) log₂ p(xᵢ)**, where p(xᵢ) is the probability of each possible outcome xᵢ. Higher entropy indicates greater uncertainty or information content, with maximum entropy occurring when all outcomes are equally likely.
24 tokens in · 121 tokens out · 3064 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
3072.8 ms
Base LLM
3064.2 ms
Verifiers
0.1 ms
Gates
0.1 ms
Cost
$0.0019

Trail

05:24:53 received prompt_chars=65 verifiers=['scripture_anchors', 'theology_doctrine']
05:24:53 red_gate decision=pass reason=no disqualifying input patterns detected
05:24:56 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=121 latency_ms=3064.2 cost_usd=0.0019
05:24:56 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:24:56 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:24:56 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:24:56 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:24:56 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:24:56 signed hash_algo=sha256 hash=sha256:6a9031adfc2afa7e8d4fc88ee264199c99cf9ca5e1398645fb918fee78e3def3

Content hash

sha256:6a9031adfc2afa7e8d4fc88ee264199c99cf9ca5e1398645fb918fee78e3def3

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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