The Mechanism · Gated-generation receipt

gen-explain-merge-sort-as-you-would-to-a-capable-student-in-3-4-b59d

stable pending witness
2026-05-29 02:50:57 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain merge sort as you would to a capable student, in 3-4 sentences.
71 chars

Generation

Merge sort is a divide-and-conquer algorithm that works by repeatedly splitting an array in half until you have individual elements, then merging those pieces back together in sorted order. The key insight is that merging two already-sorted lists into one sorted list is straightforward—you just compare the front elements and take the smaller one. By recursively splitting and merging, you end up sorting the entire array in O(n log n) time. Think of it like sorting a deck of cards by dividing it into smaller piles, sorting each pile, then carefully combining them back together.
27 tokens in · 126 tokens out · 4005 ms · $0.002

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
4018.0 ms
Base LLM
4005.4 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.002

Trail

02:50:57 received prompt_chars=71 verifiers=['scripture_anchors', 'theology_doctrine']
02:50:57 red_gate decision=pass reason=no disqualifying input patterns detected
02:51:01 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=126 latency_ms=4005.4 cost_usd=0.002
02:51:01 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:51:01 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:51:01 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:51:01 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:51:01 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:51:01 signed hash_algo=sha256 hash=sha256:1864017b71c13aad340911ad965759e5bed53b4df0fc6167d9614cc2e347e0da

Content hash

sha256:1864017b71c13aad340911ad965759e5bed53b4df0fc6167d9614cc2e347e0da

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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