The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-volume-of-solids-of-revolution-a-3c01

stable pending witness
2026-05-29 08:31:36 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of volume of solids of revolution? Answer concisely in 2-3 sentences.
94 chars

Generation

Solids of revolution are significant because they model many real-world objects with circular symmetry, such as bottles, vases, mechanical parts, and storage tanks. Calculating their volumes using calculus (disk, washer, or shell methods) provides practical applications in engineering, manufacturing, and design where precise measurements are needed for material costs, capacity, and structural analysis.
31 tokens in · 79 tokens out · 3188 ms · $0.0013

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
3194.6 ms
Base LLM
3187.8 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0013

Trail

08:31:36 received prompt_chars=94 verifiers=['scripture_anchors', 'theology_doctrine']
08:31:36 red_gate decision=pass reason=no disqualifying input patterns detected
08:31:39 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=79 latency_ms=3187.8 cost_usd=0.0013
08:31:39 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:31:39 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:31:39 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:31:39 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:31:39 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:31:39 signed hash_algo=sha256 hash=sha256:6ffc0179b35d7e32d339cb24584914d45b83a2bda5d8766b1fb5e08aa828bf4c

Content hash

sha256:6ffc0179b35d7e32d339cb24584914d45b83a2bda5d8766b1fb5e08aa828bf4c

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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