The Mechanism · Gated-generation receipt

gen-explain-a-hash-table-as-you-would-to-a-capable-student-in-3-16f8

stable pending witness
2026-05-29 03:05:25 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain a hash table as you would to a capable student, in 3-4 sentences.
73 chars

Generation

A hash table is a data structure that stores key-value pairs and allows you to look up values extremely quickly. It works by using a hash function to convert each key (like a name or ID) into an array index, so when you need to retrieve a value, it can calculate where to look instead of searching through everything. The main challenge is handling "collisions" when two different keys hash to the same index, which is typically solved using techniques like chaining (storing multiple items at the same index in a list) or probing (finding the next available slot). This makes hash tables incredibly efficient for operations like lookups, insertions, and deletions—usually O(1) time on average.
28 tokens in · 148 tokens out · 4016 ms · $0.0023

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
4026.6 ms
Base LLM
4016.4 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0023

Trail

03:05:25 received prompt_chars=73 verifiers=['scripture_anchors', 'theology_doctrine']
03:05:25 red_gate decision=pass reason=no disqualifying input patterns detected
03:05:30 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=148 latency_ms=4016.4 cost_usd=0.0023
03:05:30 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:05:30 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:05:30 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:05:30 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:05:30 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:05:30 signed hash_algo=sha256 hash=sha256:660176943c2a04a43495713ebff50aada521ba6f0bd42487f0485768d14fc6f2

Content hash

sha256:660176943c2a04a43495713ebff50aada521ba6f0bd42487f0485768d14fc6f2

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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