The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-spherical-geometry-answer-concis-cf9b

stable pending witness
2026-05-29 08:11:45 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of spherical geometry? Answer concisely in 2-3 sentences.
82 chars

Generation

Spherical geometry is essential for navigation, astronomy, and geography because it accurately describes distances and angles on curved surfaces like Earth and celestial spheres. Unlike flat (Euclidean) geometry, it accounts for the fact that the shortest path between two points on a sphere is along a great circle, making it crucial for flight paths, maritime routes, and GPS systems.
28 tokens in · 79 tokens out · 3175 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
3182.1 ms
Base LLM
3175.2 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0013

Trail

08:11:45 received prompt_chars=82 verifiers=['scripture_anchors', 'theology_doctrine']
08:11:45 red_gate decision=pass reason=no disqualifying input patterns detected
08:11:48 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=79 latency_ms=3175.2 cost_usd=0.0013
08:11:48 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:11:48 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:11:48 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:11:48 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:11:48 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:11:48 signed hash_algo=sha256 hash=sha256:9d780609ebcb3a3d41e437b7f9f9b77b3b0e20beb2b7b6132c34e641951c7b96

Content hash

sha256:9d780609ebcb3a3d41e437b7f9f9b77b3b0e20beb2b7b6132c34e641951c7b96

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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