The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-hamming-distance-state-any-key-form-9ea7

stable pending witness
2026-05-29 06:29:46 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Hamming distance. State any key formula.
66 chars

Generation

Hamming distance measures the number of positions at which two strings of equal length differ. It is commonly used in coding theory, error detection, and information theory to quantify the difference between two sequences. The formula is: **d_H(x,y) = Σ(x_i ≠ y_i)** for i = 1 to n, where x and y are strings of length n, and the sum counts positions where corresponding symbols differ. For example, the Hamming distance between "karolin" and "kathrin" is 3 (positions 3, 4, and 5 differ).
26 tokens in · 141 tokens out · 3588 ms · $0.0022

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
3594.9 ms
Base LLM
3588.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

06:29:46 received prompt_chars=66 verifiers=['scripture_anchors', 'theology_doctrine']
06:29:46 red_gate decision=pass reason=no disqualifying input patterns detected
06:29:50 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=141 latency_ms=3588.3 cost_usd=0.0022
06:29:50 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:29:50 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:29:50 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:29:50 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:29:50 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:29:50 signed hash_algo=sha256 hash=sha256:7fa4a15bac77f68286a2e86c1c5bdf7ea2d6296cc8034727b404ff9112bddc77

Content hash

sha256:7fa4a15bac77f68286a2e86c1c5bdf7ea2d6296cc8034727b404ff9112bddc77

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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