The Mechanism · Gated-generation receipt

gen-explain-a-binary-search-tree-as-you-would-to-a-capable-stude-7efb

stable pending witness
2026-05-29 06:19:21 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain a binary search tree as you would to a capable student, in 3-4 sentences.
81 chars

Generation

A binary search tree (BST) is a data structure where each node has at most two children (left and right), organized by a simple rule: all values in the left subtree are smaller than the node's value, and all values in the right subtree are larger. This ordering makes searching very efficient—you can find any value by repeatedly comparing it to the current node and moving left or right, eliminating half the remaining possibilities at each step. For example, to find 7 in a BST, you'd start at the root and go right if 7 is larger or left if it's smaller, repeating until you find it or hit a dead end. This gives you O(log n) search time in a balanced tree, much faster than checking every element in an unsorted list.
29 tokens in · 170 tokens out · 5019 ms · $0.0026

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
5026.5 ms
Base LLM
5019.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0026

Trail

06:19:21 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
06:19:21 red_gate decision=pass reason=no disqualifying input patterns detected
06:19:26 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=170 latency_ms=5019.3 cost_usd=0.0026
06:19:26 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:19:26 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:19:26 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:19:26 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:19:26 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:19:26 signed hash_algo=sha256 hash=sha256:e858d23cbacf20c8b867c6027bd58662f48562a1315492f7e51bf39d5e8f16ab

Content hash

sha256:e858d23cbacf20c8b867c6027bd58662f48562a1315492f7e51bf39d5e8f16ab

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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