The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-the-source-coding-theorem-answer-5eb7

stable pending witness
2026-05-29 02:59:51 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of the source coding theorem? Answer concisely in 2-3 sentences.
89 chars

Generation

The source coding theorem, also known as Shannon's first theorem, establishes the theoretical minimum number of bits needed to compress data without loss of information. It proves that data can be compressed down to its entropy rate but no further while still allowing perfect reconstruction, providing the fundamental limit for lossless data compression algorithms.
29 tokens in · 66 tokens out · 2923 ms · $0.0011

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
2930.3 ms
Base LLM
2922.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0011

Trail

02:59:51 received prompt_chars=89 verifiers=['scripture_anchors', 'theology_doctrine']
02:59:51 red_gate decision=pass reason=no disqualifying input patterns detected
02:59:54 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=66 latency_ms=2922.5 cost_usd=0.0011
02:59:54 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:59:54 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:59:54 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:59:54 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:59:54 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:59:54 signed hash_algo=sha256 hash=sha256:5cb768e1b07b01f213816709e57d60f71cb073be742bfd5b757d02a93fc7e929

Content hash

sha256:5cb768e1b07b01f213816709e57d60f71cb073be742bfd5b757d02a93fc7e929

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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