The Mechanism · Gated-generation receipt

gen-state-a-binary-search-tree-precisely-and-explain-why-it-matt-f3bf

stable pending witness
2026-05-29 08:47:54 UTC · anthropic/claude-sonnet-4-5

Prompt

State a binary search tree precisely and explain why it matters in 2-3 sentences.
81 chars

Generation

A **binary search tree (BST)** is a binary tree where each node contains a value, and for every node, all values in its left subtree are smaller and all values in its right subtree are larger. This structure matters because it enables efficient searching, insertion, and deletion operations in O(log n) average time—much faster than linear search through an unsorted list. BSTs form the foundation for many practical data structures like maps and sets in programming libraries.
26 tokens in · 102 tokens out · 3657 ms · $0.0016

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
3664.1 ms
Base LLM
3657.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0016

Trail

08:47:54 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
08:47:54 red_gate decision=pass reason=no disqualifying input patterns detected
08:47:57 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=102 latency_ms=3657.3 cost_usd=0.0016
08:47:57 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:47:57 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:47:57 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:47:57 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:47:57 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:47:57 signed hash_algo=sha256 hash=sha256:ae6c374b3117228835a42bd1815d7aa8e8faeb1cd6c8eb16b351b04f7ab0a128

Content hash

sha256:ae6c374b3117228835a42bd1815d7aa8e8faeb1cd6c8eb16b351b04f7ab0a128

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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