The Mechanism · Gated-generation receipt

gen-state-self-information-precisely-and-explain-why-it-matters-259b

stable pending witness
2026-05-29 08:28:56 UTC · anthropic/claude-sonnet-4-5

Prompt

State self-information precisely and explain why it matters in 2-3 sentences.
77 chars

Generation

**Self-information** of an event x is defined as: **I(x) = -log₂ P(x)** (measured in bits), or equivalently **I(x) = -ln P(x)** (measured in nats). It quantifies the "surprise" or information content of observing a particular event—rare events (low probability) carry more information than common ones. This matters because it forms the foundation for entropy, which measures average information content, and is essential for data compression, coding theory, and understanding information transmission in communication systems.
25 tokens in · 124 tokens out · 4790 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
4797.2 ms
Base LLM
4789.9 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0019

Trail

08:28:56 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
08:28:56 red_gate decision=pass reason=no disqualifying input patterns detected
08:29:01 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=124 latency_ms=4789.9 cost_usd=0.0019
08:29:01 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:29:01 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:29:01 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:29:01 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:29:01 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:29:01 signed hash_algo=sha256 hash=sha256:21cfff396a86468be123b66ce58f36807f5af8a5319638274b3e9096d56d2be2

Content hash

sha256:21cfff396a86468be123b66ce58f36807f5af8a5319638274b3e9096d56d2be2

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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