The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-coordinate-geometry-answer-conci-46ed

stable pending witness
2026-05-29 04:02:08 UTC · anthropic/claude-sonnet-4-5

Prompt

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

Generation

Coordinate geometry bridges algebra and geometry by representing geometric shapes using algebraic equations on a coordinate system. This allows us to solve geometric problems using algebraic methods and vice versa, making it essential for calculus, physics, computer graphics, and engineering. It provides a precise way to describe positions, distances, and shapes mathematically.
27 tokens in · 70 tokens out · 3267 ms · $0.0011

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
3279.4 ms
Base LLM
3267.2 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0011

Trail

04:02:08 received prompt_chars=83 verifiers=['scripture_anchors', 'theology_doctrine']
04:02:08 red_gate decision=pass reason=no disqualifying input patterns detected
04:02:12 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=70 latency_ms=3267.2 cost_usd=0.0011
04:02:12 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:02:12 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:02:12 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:02:12 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:02:12 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:02:12 signed hash_algo=sha256 hash=sha256:582bd6d2b25d75f53a4d5c8ca374a415c9a3b6f38e58fd9fccf45973633237c9

Content hash

sha256:582bd6d2b25d75f53a4d5c8ca374a415c9a3b6f38e58fd9fccf45973633237c9

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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