The Mechanism · Gated-generation receipt

gen-explain-conditional-entropy-as-you-would-to-a-capable-studen-a2b2

stable pending witness
2026-05-29 02:32:49 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain conditional entropy as you would to a capable student, in 3-4 sentences.
80 chars

Generation

Conditional entropy measures how much uncertainty remains about one random variable after you've observed another. For example, if you know the weather is cloudy, there's less uncertainty about whether it will rain compared to knowing nothing at all—conditional entropy quantifies this remaining uncertainty. Mathematically, it's H(Y|X) = H(X,Y) - H(X), meaning the uncertainty about Y given X equals the joint uncertainty minus what you learned from X alone. It's always less than or equal to the original entropy H(Y), since observing additional information can only reduce (or leave unchanged) your uncertainty.
27 tokens in · 131 tokens out · 4113 ms · $0.002

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
4122.0 ms
Base LLM
4112.7 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

02:32:49 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
02:32:49 red_gate decision=pass reason=no disqualifying input patterns detected
02:32:53 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=131 latency_ms=4112.7 cost_usd=0.002
02:32:53 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:32:53 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:32:53 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:32:53 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:32:53 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:32:53 signed hash_algo=sha256 hash=sha256:913c60c6c8a5e6b3ba950e4c6b43baea6ea969a426a16d17225871ee5dfa6f23

Content hash

sha256:913c60c6c8a5e6b3ba950e4c6b43baea6ea969a426a16d17225871ee5dfa6f23

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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