The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-key-length-and-brute-force-resistan-96c7

hold
2026-05-29 05:15:03 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain key length and brute-force resistance. State any key formula.
87 chars

Generation

**Key length** refers to the number of bits in a cryptographic key, which directly determines the key space (total possible keys). **Brute-force resistance** measures how difficult it is for an attacker to try all possible keys to break encryption. The **key formula** is: **Key space = 2^n**, where n is the key length in bits. For example, a 128-bit key has 2^128 possible combinations, making brute-force attacks computationally infeasible with current technology.
30 tokens in · 117 tokens out · 5001 ms · $0.0018

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['force']
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
5008.2 ms
Base LLM
5000.9 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0018

Trail

05:15:03 received prompt_chars=87 verifiers=['scripture_anchors', 'theology_doctrine']
05:15:03 red_gate decision=pass reason=no disqualifying input patterns detected
05:15:08 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=117 latency_ms=5000.9 cost_usd=0.0018
05:15:08 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:15:08 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:15:08 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:15:08 way_gate decision=wait reason=output contains coercion language: ['force']
05:15:08 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:15:08 signed hash_algo=sha256 hash=sha256:cb7070a306e219691fb16a8889a75744955c75ce42bcd312e363f44f32179659

Content hash

sha256:cb7070a306e219691fb16a8889a75744955c75ce42bcd312e363f44f32179659

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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