The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-uniform-convergence-answer-conci-bece

stable pending witness
2026-05-29 04:10:45 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of uniform convergence? Answer concisely in 2-3 sentences.
83 chars

Generation

Uniform convergence ensures that a sequence of functions converges to a limit function at the same rate across the entire domain, not just pointwise. This stronger form of convergence preserves important properties like continuity, allows interchange of limits and integration/differentiation, and guarantees that the limit of continuous functions is continuous—properties that pointwise convergence alone cannot guarantee.
28 tokens in · 79 tokens out · 3021 ms · $0.0013

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
3027.6 ms
Base LLM
3020.8 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0013

Trail

04:10:45 received prompt_chars=83 verifiers=['scripture_anchors', 'theology_doctrine']
04:10:45 red_gate decision=pass reason=no disqualifying input patterns detected
04:10:48 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=79 latency_ms=3020.8 cost_usd=0.0013
04:10:48 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:10:48 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:10:48 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:10:48 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:10:48 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:10:48 signed hash_algo=sha256 hash=sha256:5e433b9d4f7933e7845f14af402d1db8fa6b332d76c1a4dda7089690cbe2d4e6

Content hash

sha256:5e433b9d4f7933e7845f14af402d1db8fa6b332d76c1a4dda7089690cbe2d4e6

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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