The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-properties-of-circles-state-any-key-523d

stable pending witness
2026-05-29 04:16:21 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain properties of circles. State any key formula.
71 chars

Generation

A circle is a set of points equidistant from a central point, with that distance called the radius (r). The diameter (d) is twice the radius and spans the circle through its center. Key formulas include the circumference **C = 2πr** (or πd) and the area **A = πr²**. All circles are similar to each other, and angles inscribed in a semicircle always measure 90 degrees.
25 tokens in · 100 tokens out · 2806 ms · $0.0016

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
2813.7 ms
Base LLM
2805.8 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0016

Trail

04:16:21 received prompt_chars=71 verifiers=['scripture_anchors', 'theology_doctrine']
04:16:21 red_gate decision=pass reason=no disqualifying input patterns detected
04:16:24 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=100 latency_ms=2805.8 cost_usd=0.0016
04:16:24 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:16:24 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:16:24 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:16:24 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:16:24 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:16:24 signed hash_algo=sha256 hash=sha256:e2ad9e575163589451e56d1bfc21aa7812820ff9f46d16302b80a20562cdbfb0

Content hash

sha256:e2ad9e575163589451e56d1bfc21aa7812820ff9f46d16302b80a20562cdbfb0

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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