The Mechanism · Gated-generation receipt

gen-explain-mutual-information-as-you-would-to-a-capable-student-251a

stable pending witness
2026-05-29 07:01:50 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain mutual information as you would to a capable student, in 3-4 sentences.
79 chars

Generation

Mutual information measures how much knowing one variable tells you about another variable. It quantifies the reduction in uncertainty about X when you learn Y (and vice versa). For example, if cloud cover and rain have high mutual information, observing clouds significantly reduces your uncertainty about whether it will rain. Unlike correlation, mutual information can capture any type of relationship between variables, not just linear ones.
27 tokens in · 82 tokens out · 3423 ms · $0.0013

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
3431.1 ms
Base LLM
3423.3 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0013

Trail

07:01:50 received prompt_chars=79 verifiers=['scripture_anchors', 'theology_doctrine']
07:01:50 red_gate decision=pass reason=no disqualifying input patterns detected
07:01:54 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=82 latency_ms=3423.3 cost_usd=0.0013
07:01:54 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:01:54 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:01:54 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:01:54 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:01:54 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:01:54 signed hash_algo=sha256 hash=sha256:9c3c04744ee1822559ace90c9e19603c042cb698f6d5e109ebc332d7926b6f8e

Content hash

sha256:9c3c04744ee1822559ace90c9e19603c042cb698f6d5e109ebc332d7926b6f8e

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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