The Mechanism · Gated-generation receipt

gen-define-merge-sort-and-give-one-short-worked-example-b515

stable pending witness
2026-05-29 08:20:24 UTC · anthropic/claude-sonnet-4-5

Prompt

Define merge sort and give one short worked example.
52 chars

Generation

# Merge Sort **Merge Sort** is a divide-and-conquer sorting algorithm that: 1. **Divides** the array into two halves 2. **Recursively sorts** each half 3. **Merges** the two sorted halves back together Time complexity: O(n log n) in all cases ## Worked Example Sort the array: `[38, 27, 43, 3]` **Step 1: Divide** ``` [38, 27, 43, 3] ↓ [38, 27] [43, 3] ↓ ↓ [38] [27] [43] [3] ``` **Step 2: Merge (going back up)** ``` [38] [27] → [27, 38] (compare 38 & 27, take 27 first) [43] [3] → [3, 43] (compare 43 & 3, take 3 first) ``` **Step 3: Final merge** ``` [27, 38] [3, 43] ↓ Compare: 27 vs 3 → take 3 Compare: 27 vs 43 → take 27 Compare: 38 vs 43 → take 38 Take remaining: 43 Result: [3, 27, 38, 43] ```
17 tokens in · 343 tokens out · 6465 ms · $0.0052

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
6472.8 ms
Base LLM
6465.3 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0052

Trail

08:20:24 received prompt_chars=52 verifiers=['scripture_anchors', 'theology_doctrine']
08:20:24 red_gate decision=pass reason=no disqualifying input patterns detected
08:20:31 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=17 tokens_out=343 latency_ms=6465.3 cost_usd=0.0052
08:20:31 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:20:31 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:20:31 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:20:31 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:20:31 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:20:31 signed hash_algo=sha256 hash=sha256:c41f11e17cd95e14fc8d5178259317c927a9dcd12168236b618f325b40f9e20b

Content hash

sha256:c41f11e17cd95e14fc8d5178259317c927a9dcd12168236b618f325b40f9e20b

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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