The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-the-centroid-of-a-triangle-answe-1a7b

hold
2026-05-29 02:53:33 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of the centroid of a triangle? Answer concisely in 2-3 sentences.
90 chars

Generation

The centroid is the point where the three medians of a triangle intersect and represents the triangle's center of mass or balance point. It divides each median in a 2:1 ratio, with the longer segment being closer to the vertex. The centroid is always located inside the triangle, regardless of the triangle's shape.
31 tokens in · 72 tokens out · 1765 ms · $0.0012

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['regardless of']
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
1771.6 ms
Base LLM
1764.6 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0012

Trail

02:53:33 received prompt_chars=90 verifiers=['scripture_anchors', 'theology_doctrine']
02:53:33 red_gate decision=pass reason=no disqualifying input patterns detected
02:53:35 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=72 latency_ms=1764.6 cost_usd=0.0012
02:53:35 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:53:35 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:53:35 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:53:35 way_gate decision=wait reason=output contains coercion language: ['regardless of']
02:53:35 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:53:35 signed hash_algo=sha256 hash=sha256:d0ad22ee6b4cab37562f43eab974b234835cfc983e2349afcc77bf043e70d456

Content hash

sha256:d0ad22ee6b4cab37562f43eab974b234835cfc983e2349afcc77bf043e70d456

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.

Bring another teaching · Run a discernment