The Mechanism · Gated-generation receipt

gen-state-hamming-distance-precisely-and-explain-why-it-matters-e1fd

stable pending witness
2026-05-29 05:07:23 UTC · anthropic/claude-sonnet-4-5

Prompt

State Hamming distance precisely and explain why it matters in 2-3 sentences.
77 chars

Generation

# Hamming Distance **Definition:** The Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols differ. **Why it matters:** Hamming distance is fundamental in error detection and correction codes, as it measures how many bit flips separate valid codewords—enabling systems to detect and correct transmission errors. It's also crucial in DNA sequence analysis, cryptography, and information theory for quantifying similarity between fixed-length sequences.
26 tokens in · 102 tokens out · 3026 ms · $0.0016

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
3042.1 ms
Base LLM
3025.6 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0016

Trail

05:07:23 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
05:07:23 red_gate decision=pass reason=no disqualifying input patterns detected
05:07:26 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=102 latency_ms=3025.6 cost_usd=0.0016
05:07:26 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:07:26 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:07:26 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:07:26 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:07:26 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:07:26 signed hash_algo=sha256 hash=sha256:566638ebc6753b14725dee88f953ad0a1c2bddf1e32726c8958baa810f3203e5

Content hash

sha256:566638ebc6753b14725dee88f953ad0a1c2bddf1e32726c8958baa810f3203e5

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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