The Mechanism · Gated-generation receipt

gen-state-merge-sort-precisely-and-explain-why-it-matters-in-2-3-62aa

stable pending witness
2026-05-29 06:41:57 UTC · anthropic/claude-sonnet-4-5

Prompt

State merge sort precisely and explain why it matters in 2-3 sentences.
71 chars

Generation

# Merge Sort **Algorithm**: Divide the array into two halves, recursively sort each half, then merge the two sorted halves back together by repeatedly taking the smaller element from the front of each half. **Why it matters**: Merge sort guarantees O(n log n) time complexity in all cases (unlike quicksort's O(n²) worst case), making it reliable for performance-critical applications. It's also a stable sort and forms the foundation for external sorting algorithms used when data doesn't fit in memory.
24 tokens in · 116 tokens out · 3372 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
3378.2 ms
Base LLM
3371.6 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0018

Trail

06:41:57 received prompt_chars=71 verifiers=['scripture_anchors', 'theology_doctrine']
06:41:57 red_gate decision=pass reason=no disqualifying input patterns detected
06:42:00 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=116 latency_ms=3371.6 cost_usd=0.0018
06:42:00 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:42:00 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:42:00 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:42:00 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:42:00 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:42:00 signed hash_algo=sha256 hash=sha256:dc8ac841442f9e656fa0338c83734df0c67f8de55fea033fb30bdda7809dbf1b

Content hash

sha256:dc8ac841442f9e656fa0338c83734df0c67f8de55fea033fb30bdda7809dbf1b

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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