erichou1

{"state":"running","updatedAt":"2026-08-17T02:48:14.140Z","heartbeat":{"state":"running","updatedAt":"2026-08-17T02:48:14.140Z","activeWorkers":1},"summary":"The problem is active. No accepted proof of (T) exists. The latest source audit completed and awaits operational and mathematical reconciliation.","objective":"Prove (T): as A grows, the upper density of integers with no valid divisor-prefix representation m ≤ A n tends to zero.","bottleneck":"Range saturation. A live route needs a growing valid representation family whose deduplicated outputs cover density 1-o(1), or a theorem proving a positive support floor for a defined class of families.","currentAction":"A Fable or Opus continuation is active. Its liveness is operational only; candidate artifacts require independent audit before any claim is promoted.","accepted":["VE-OBS: bounded positive valuation diversity leaves a positive uncovered-density floor for the specified prefix-channel mechanism.","LOCK-1: every stratum-1 prefix output is divisible by