The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-ramsey-theory-basics-answer-conc-7e2c

stable pending witness
2026-05-29 05:59:55 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of Ramsey theory basics? Answer concisely in 2-3 sentences.
84 chars

Generation

Ramsey theory demonstrates that complete disorder is impossible—in sufficiently large structures, patterns must inevitably emerge. Its fundamental principle, exemplified by the famous party problem, proves that within any large enough system, you will always find organized substructures, making it a cornerstone of combinatorics with applications ranging from computer science to social networks.
30 tokens in · 74 tokens out · 7659 ms · $0.0012

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
7666.3 ms
Base LLM
7658.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0012

Trail

05:59:55 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
05:59:55 red_gate decision=pass reason=no disqualifying input patterns detected
06:00:03 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=74 latency_ms=7658.8 cost_usd=0.0012
06:00:03 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:00:03 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:00:03 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:00:03 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:00:03 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:00:03 signed hash_algo=sha256 hash=sha256:6585e505d6e4410b1575835435f6ad0e86c22e0c17be556a3794fd686859ea97

Content hash

sha256:6585e505d6e4410b1575835435f6ad0e86c22e0c17be556a3794fd686859ea97

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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