The Mechanism · Gated-generation receipt

gen-explain-a-minimum-spanning-tree-as-you-would-to-a-capable-st-3643

stable pending witness
2026-05-29 03:53:54 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain a minimum spanning tree as you would to a capable student, in 3-4 sentences.
84 chars

Generation

A minimum spanning tree is a way to connect all points (vertices) in a network using the smallest total length of connections (edges) possible, without creating any loops. Imagine you need to connect several cities with roads using the least amount of pavement—you'd want every city connected either directly or through other cities, but you wouldn't build redundant roads that create circles. The "spanning" part means it reaches all points, the "tree" part means no cycles, and "minimum" means we've chosen the cheapest set of connections. It's fundamental in network design problems like laying cable, designing circuit boards, or planning transportation routes.
29 tokens in · 135 tokens out · 5512 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
5519.3 ms
Base LLM
5512.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

03:53:54 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
03:53:54 red_gate decision=pass reason=no disqualifying input patterns detected
03:53:59 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=135 latency_ms=5512.2 cost_usd=0.0021
03:53:59 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:53:59 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:53:59 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:53:59 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:53:59 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:53:59 signed hash_algo=sha256 hash=sha256:fa1266eefcd057ada02d03bfe65362f33f0d84f534980f4a37ca00edce230e47

Content hash

sha256:fa1266eefcd057ada02d03bfe65362f33f0d84f534980f4a37ca00edce230e47

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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