The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-joint-entropy-answer-concisely-i-de0f

stable pending witness
2026-05-29 08:54:02 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of joint entropy? Answer concisely in 2-3 sentences.
77 chars

Generation

Joint entropy measures the total uncertainty or information content in two or more random variables considered together. It quantifies how much information is needed, on average, to describe the combined outcome of multiple variables. Joint entropy is fundamental in information theory for understanding relationships between variables, as it forms the basis for concepts like mutual information and conditional entropy.
27 tokens in · 69 tokens out · 2279 ms · $0.0011

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
2285.7 ms
Base LLM
2278.7 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0011

Trail

08:54:02 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
08:54:02 red_gate decision=pass reason=no disqualifying input patterns detected
08:54:04 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=69 latency_ms=2278.7 cost_usd=0.0011
08:54:04 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:54:04 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:54:04 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:54:04 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:54:04 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:54:04 signed hash_algo=sha256 hash=sha256:6bb573a4fce63f5de7f43f77eb20b11e10b4cda39a72f1b6a1175bc0c69a8794

Content hash

sha256:6bb573a4fce63f5de7f43f77eb20b11e10b4cda39a72f1b6a1175bc0c69a8794

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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