The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-a-directed-acyclic-graph-answer-b93c

stable pending witness
2026-05-29 06:45:37 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of a directed acyclic graph? Answer concisely in 2-3 sentences.
88 chars

Generation

A directed acyclic graph (DAG) is a graph with directed edges and no cycles, meaning you cannot follow the directed edges and return to a starting node. DAGs are significant because they naturally represent hierarchical relationships, dependencies, and ordering constraints in systems like task scheduling, data processing pipelines, version control, and causal relationships. Their acyclic property enables efficient algorithms for topological sorting, finding shortest paths, and solving optimization problems.
31 tokens in · 95 tokens out · 3006 ms · $0.0015

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
3017.7 ms
Base LLM
3006.1 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0015

Trail

06:45:37 received prompt_chars=88 verifiers=['scripture_anchors', 'theology_doctrine']
06:45:37 red_gate decision=pass reason=no disqualifying input patterns detected
06:45:40 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=95 latency_ms=3006.1 cost_usd=0.0015
06:45:40 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:45:40 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:45:40 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:45:40 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:45:40 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:45:40 signed hash_algo=sha256 hash=sha256:e327e3c06ef1decfa018847831c1999906a1c2ddecf38c08cddbca94c991de2e

Content hash

sha256:e327e3c06ef1decfa018847831c1999906a1c2ddecf38c08cddbca94c991de2e

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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