The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-dijkstra-s-algorithm-state-any-key-8928

stable pending witness
2026-05-29 05:19:15 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Dijkstra's algorithm. State any key formula.
70 chars

Generation

Dijkstra's algorithm finds the shortest path from a source node to all other nodes in a weighted graph with non-negative edge weights. It works by repeatedly selecting the unvisited node with the smallest known distance, then updating the distances to its neighbors. The key formula for updating distances is: **d[v] = min(d[v], d[u] + w(u,v))**, where d[v] is the current shortest distance to node v, d[u] is the distance to node u, and w(u,v) is the weight of the edge from u to v. The algorithm terminates when all reachable nodes have been visited.
28 tokens in · 145 tokens out · 3459 ms · $0.0023

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
3471.3 ms
Base LLM
3459.1 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0023

Trail

05:19:15 received prompt_chars=70 verifiers=['scripture_anchors', 'theology_doctrine']
05:19:15 red_gate decision=pass reason=no disqualifying input patterns detected
05:19:19 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=145 latency_ms=3459.1 cost_usd=0.0023
05:19:19 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:19:19 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:19:19 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:19:19 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:19:19 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:19:19 signed hash_algo=sha256 hash=sha256:f5933bb552cf147ab1015594b9c3ac663bce3aa8c10758644be1a482ffe191f0

Content hash

sha256:f5933bb552cf147ab1015594b9c3ac663bce3aa8c10758644be1a482ffe191f0

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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