The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-self-information-state-any-key-form-92c0

stable pending witness
2026-05-29 04:21:17 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain self-information. State any key formula.
66 chars

Generation

Self-information quantifies the amount of "surprise" or information gained from observing a particular outcome of a random variable. An event that is less probable carries more information when it occurs than a more probable event. The key formula is: **I(x) = -log₂ P(x)** or equivalently **I(x) = log₂(1/P(x))** where I(x) is the self-information of outcome x and P(x) is its probability. Self-information is measured in bits when using log base 2.
25 tokens in · 126 tokens out · 3712 ms · $0.002

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
3719.5 ms
Base LLM
3711.9 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.002

Trail

04:21:17 received prompt_chars=66 verifiers=['scripture_anchors', 'theology_doctrine']
04:21:17 red_gate decision=pass reason=no disqualifying input patterns detected
04:21:20 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=126 latency_ms=3711.9 cost_usd=0.002
04:21:20 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:21:20 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:21:20 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:21:20 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:21:20 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:21:20 signed hash_algo=sha256 hash=sha256:3bc9672508a803f510076ecb199d447fca74b08e4304232d9eb12ae1bb7308dd

Content hash

sha256:3bc9672508a803f510076ecb199d447fca74b08e4304232d9eb12ae1bb7308dd

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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