The Mechanism · Gated-generation receipt

gen-explain-greatest-common-divisor-as-you-would-to-a-capable-st-713e

stable pending witness
2026-05-29 03:51:44 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain greatest common divisor as you would to a capable student, in 3-4 sentences.
84 chars

Generation

The greatest common divisor (GCD) of two numbers is the largest number that divides evenly into both of them. For example, the GCD of 12 and 18 is 6, because 6 is the biggest number that goes into both 12 and 18 without leaving a remainder. To find it, you can list all the factors of each number and pick the largest one they share, or use the Euclidean algorithm for a faster method. The GCD is useful for simplifying fractions and solving problems where you need to divide things into equal groups.
29 tokens in · 128 tokens out · 4026 ms · $0.002

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
4033.7 ms
Base LLM
4026.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

03:51:44 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
03:51:44 red_gate decision=pass reason=no disqualifying input patterns detected
03:51:48 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=128 latency_ms=4026.2 cost_usd=0.002
03:51:48 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:51:48 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:51:48 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:51:48 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:51:48 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:51:48 signed hash_algo=sha256 hash=sha256:e546642066266dbd793c501c52b485f7abc55e69ccfdc718e1c3ba40736605a4

Content hash

sha256:e546642066266dbd793c501c52b485f7abc55e69ccfdc718e1c3ba40736605a4

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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