The Mechanism · Gated-generation receipt

gen-explain-dijkstra-s-algorithm-as-you-would-to-a-capable-stude-0aef

stable pending witness
2026-05-29 08:58:28 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain Dijkstra's algorithm as you would to a capable student, in 3-4 sentences.
81 chars

Generation

Dijkstra's algorithm finds the shortest path from a starting node to all other nodes in a weighted graph. It works by repeatedly selecting the unvisited node with the smallest known distance, then updating the distances to all its neighbors if a shorter path is found through the current node. Think of it like spreading out from the start point, always exploring the closest reachable location first, and keeping track of the best route discovered to each destination. The algorithm terminates when all nodes have been visited or when you've found the shortest path to your target node.
31 tokens in · 117 tokens out · 3979 ms · $0.0018

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
3988.3 ms
Base LLM
3979.2 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0018

Trail

08:58:28 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
08:58:28 red_gate decision=pass reason=no disqualifying input patterns detected
08:58:32 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=117 latency_ms=3979.2 cost_usd=0.0018
08:58:32 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:58:32 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:58:32 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:58:32 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:58:32 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:58:32 signed hash_algo=sha256 hash=sha256:5b7285b3c3b5cecef73afa0ba8e46026878ee9b6ea6686c1d43c45cb2f7b92e0

Content hash

sha256:5b7285b3c3b5cecef73afa0ba8e46026878ee9b6ea6686c1d43c45cb2f7b92e0

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.

Bring another teaching · Run a discernment