The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-quicksort-and-its-pivot-answer-c-0ea6

stable pending witness
2026-05-29 02:59:24 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of quicksort and its pivot? Answer concisely in 2-3 sentences.
87 chars

Generation

Quicksort is a highly efficient divide-and-conquer sorting algorithm that works by partitioning an array around a pivot element, placing smaller elements to its left and larger elements to its right. The choice of pivot is crucial for performance—a good pivot (ideally the median) leads to balanced partitions and O(n log n) time complexity, while a poor pivot can degrade performance to O(n²). Its in-place sorting and cache efficiency make it one of the most widely used sorting algorithms in practice.
31 tokens in · 113 tokens out · 3411 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
3418.0 ms
Base LLM
3410.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0018

Trail

02:59:24 received prompt_chars=87 verifiers=['scripture_anchors', 'theology_doctrine']
02:59:24 red_gate decision=pass reason=no disqualifying input patterns detected
02:59:28 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=113 latency_ms=3410.8 cost_usd=0.0018
02:59:28 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:59:28 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:59:28 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:59:28 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:59:28 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:59:28 signed hash_algo=sha256 hash=sha256:60dc5f13c1d3cf287691850deaed94ac85a01a8def44a4477c3cffbba12b235b

Content hash

sha256:60dc5f13c1d3cf287691850deaed94ac85a01a8def44a4477c3cffbba12b235b

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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