The Mechanism · Gated-generation receipt

gen-explain-quicksort-and-its-pivot-as-you-would-to-a-capable-st-ab92

stable pending witness
2026-05-29 04:35:03 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain quicksort and its pivot as you would to a capable student, in 3-4 sentences.
84 chars

Generation

Quicksort is a divide-and-conquer sorting algorithm that works by selecting a "pivot" element from the array and partitioning the other elements into two groups: those less than the pivot go to the left, and those greater go to the right. The pivot acts as a reference point that ends up in its final sorted position after each partition step. You then recursively apply the same process to the left and right sub-arrays until everything is sorted. The choice of pivot (first element, last element, random, or median) can significantly affect performance, with poor choices potentially leading to slow O(n²) behavior instead of the typical O(n log n).
31 tokens in · 143 tokens out · 3860 ms · $0.0022

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
3869.4 ms
Base LLM
3859.6 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0022

Trail

04:35:03 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
04:35:03 red_gate decision=pass reason=no disqualifying input patterns detected
04:35:07 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=143 latency_ms=3859.6 cost_usd=0.0022
04:35:07 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:35:07 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:35:07 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:35:07 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:35:07 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:35:07 signed hash_algo=sha256 hash=sha256:fb90e077d23563ed5ba49d841b1252980f0fedc4a5a4c24f6721e79a6b1953f9

Content hash

sha256:fb90e077d23563ed5ba49d841b1252980f0fedc4a5a4c24f6721e79a6b1953f9

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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