The Mechanism · Gated-generation receipt

gen-explain-shannon-entropy-as-you-would-to-a-capable-student-in-fc76

stable pending witness
2026-05-29 07:15:36 UTC · anthropic/claude-sonnet-4-5

Prompt

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

Generation

Shannon entropy measures the average amount of uncertainty or "surprise" in a source of information. It's calculated as H = -Σ p(x) log₂ p(x), where p(x) is the probability of each possible outcome. A fair coin flip has high entropy (1 bit) because both outcomes are equally uncertain, while a weighted coin that almost always lands heads has low entropy because the result is predictable. Essentially, entropy quantifies how many yes/no questions you'd need to ask, on average, to determine the outcome.
27 tokens in · 120 tokens out · 4042 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
4049.2 ms
Base LLM
4042.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0019

Trail

07:15:36 received prompt_chars=76 verifiers=['scripture_anchors', 'theology_doctrine']
07:15:36 red_gate decision=pass reason=no disqualifying input patterns detected
07:15:40 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=120 latency_ms=4042.2 cost_usd=0.0019
07:15:40 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:15:40 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:15:40 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:15:40 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:15:40 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:15:40 signed hash_algo=sha256 hash=sha256:dc428980dabfedc31b37490b093ea13c84de41380270351e6ee550578193c31b

Content hash

sha256:dc428980dabfedc31b37490b093ea13c84de41380270351e6ee550578193c31b

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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