The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-the-kullback-leibler-divergence-59da

stable pending witness
2026-05-29 05:24:03 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of the Kullback-Leibler divergence? Answer concisely in 2-3 sentences.
95 chars

Generation

The Kullback-Leibler (KL) divergence measures how much one probability distribution differs from another reference distribution. It quantifies the information lost when using an approximating distribution instead of the true distribution, making it fundamental in information theory, machine learning (especially variational inference), and statistical modeling. KL divergence is always non-negative and equals zero only when the two distributions are identical.
35 tokens in · 86 tokens out · 2050 ms · $0.0014

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
2066.1 ms
Base LLM
2050.0 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0014

Trail

05:24:03 received prompt_chars=95 verifiers=['scripture_anchors', 'theology_doctrine']
05:24:03 red_gate decision=pass reason=no disqualifying input patterns detected
05:24:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=35 tokens_out=86 latency_ms=2050.0 cost_usd=0.0014
05:24:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:24:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:24:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:24:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:24:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:24:05 signed hash_algo=sha256 hash=sha256:7c0d90106bf9825f7cd902d935185ee12ff0dd567d1c04136e16e8ae2db97b5e

Content hash

sha256:7c0d90106bf9825f7cd902d935185ee12ff0dd567d1c04136e16e8ae2db97b5e

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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