The Mechanism · Gated-generation receipt

gen-explain-properties-of-circles-as-you-would-to-a-capable-stud-f2c3

stable pending witness
2026-05-29 04:24:48 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain properties of circles as you would to a capable student, in 3-4 sentences.
82 chars

Generation

A circle is the set of all points that are the same distance (the radius) from a central point. The diameter is twice the radius and passes through the center, while the circumference (perimeter) equals 2πr or πd. Key formulas include the area A = πr² and the relationship that all radii of the same circle are equal. Important properties include that a line from the center perpendicular to a chord bisects that chord, and that inscribed angles are half the measure of their corresponding central angles.
28 tokens in · 114 tokens out · 3545 ms · $0.0018

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
3553.3 ms
Base LLM
3544.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0018

Trail

04:24:48 received prompt_chars=82 verifiers=['scripture_anchors', 'theology_doctrine']
04:24:48 red_gate decision=pass reason=no disqualifying input patterns detected
04:24:52 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=114 latency_ms=3544.9 cost_usd=0.0018
04:24:52 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:24:52 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:24:52 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:24:52 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:24:52 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:24:52 signed hash_algo=sha256 hash=sha256:7541fdf29687f8c17aac33a7062b5e280af54139a2ed355ecd1027d54fa01b1b

Content hash

sha256:7541fdf29687f8c17aac33a7062b5e280af54139a2ed355ecd1027d54fa01b1b

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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