The Mechanism · Gated-generation receipt

gen-state-the-great-circle-distance-precisely-and-explain-why-it-8a08

stable pending witness
2026-05-29 05:42:02 UTC · anthropic/claude-sonnet-4-5

Prompt

State the great-circle distance precisely and explain why it matters in 2-3 sentences.
86 chars

Generation

# Great-Circle Distance The **great-circle distance** is the shortest distance between two points on the surface of a sphere, measured along the arc of the circle formed by intersecting the sphere with a plane passing through both points and the sphere's center. ## Why It Matters This distance matters because it represents the most efficient route for navigation on Earth—airlines use great-circle routes to minimize fuel consumption and flight time, even though these paths may appear curved on flat maps. The concept is also crucial for GPS technology, global communications, and any application requiring accurate distance calculations across Earth's curved surface rather than treating it as flat.
27 tokens in · 134 tokens out · 4428 ms · $0.0021

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
4435.2 ms
Base LLM
4427.6 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

05:42:02 received prompt_chars=86 verifiers=['scripture_anchors', 'theology_doctrine']
05:42:02 red_gate decision=pass reason=no disqualifying input patterns detected
05:42:07 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=134 latency_ms=4427.6 cost_usd=0.0021
05:42:07 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:42:07 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:42:07 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:42:07 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:42:07 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:42:07 signed hash_algo=sha256 hash=sha256:debba40a1291ec482c869875587b74cd1311fd5e49a48349db8cfcee32277ec9

Content hash

sha256:debba40a1291ec482c869875587b74cd1311fd5e49a48349db8cfcee32277ec9

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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