The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-maximum-flow-answer-concisely-in-5a79

stable pending witness
2026-05-29 02:56:22 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of maximum flow? Answer concisely in 2-3 sentences.
76 chars

Generation

Maximum flow represents the greatest amount of material, data, or resources that can be transmitted from a source to a destination through a network with capacity constraints. It has critical applications in transportation networks, telecommunications, supply chain optimization, and resource allocation problems. The max-flow min-cut theorem also establishes a fundamental duality in network theory, proving that maximum flow equals the minimum capacity needed to disconnect the network.
27 tokens in · 85 tokens out · 4569 ms · $0.0014

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
4576.4 ms
Base LLM
4568.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0014

Trail

02:56:22 received prompt_chars=76 verifiers=['scripture_anchors', 'theology_doctrine']
02:56:22 red_gate decision=pass reason=no disqualifying input patterns detected
02:56:27 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=85 latency_ms=4568.9 cost_usd=0.0014
02:56:27 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:56:27 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:56:27 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:56:27 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:56:27 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:56:27 signed hash_algo=sha256 hash=sha256:db14675187797e9be42ba76e2d1f7947c058725ef286cf66f5bfd5e2d61170e4

Content hash

sha256:db14675187797e9be42ba76e2d1f7947c058725ef286cf66f5bfd5e2d61170e4

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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