The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-a-minimum-spanning-tree-answer-c-1d5f

stable pending witness
2026-05-29 06:06:18 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of a minimum spanning tree? Answer concisely in 2-3 sentences.
87 chars

Generation

A minimum spanning tree (MST) connects all nodes in a weighted graph with the minimum total edge weight, without forming cycles. It's significant for optimizing network design problems like designing efficient road networks, telecommunications systems, or pipeline layouts where the goal is to minimize total cost while ensuring complete connectivity. MSTs are fundamental in algorithms and have applications across transportation, utilities, and computer network design.
29 tokens in · 82 tokens out · 3941 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
3947.6 ms
Base LLM
3940.9 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0013

Trail

06:06:18 received prompt_chars=87 verifiers=['scripture_anchors', 'theology_doctrine']
06:06:18 red_gate decision=pass reason=no disqualifying input patterns detected
06:06:22 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=82 latency_ms=3940.9 cost_usd=0.0013
06:06:22 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:06:22 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:06:22 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:06:22 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:06:22 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:06:22 signed hash_algo=sha256 hash=sha256:7a45688b89864462f8fe4b6c2aef71a82594406f6fe171090ca3d8c289025875

Content hash

sha256:7a45688b89864462f8fe4b6c2aef71a82594406f6fe171090ca3d8c289025875

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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