{
  "schema": "BCODR-LUC-06-Aref-SelectedTail-Certificate-v0.1",
  "date": "2026-09-21",
  "target_id": "ROOT6217_BARRIER_SHAPE",
  "statement": "Selected outward-limited parent roots 101,103,104,164,167 contain no F3 point with area <= A_ref=0.8349865.",
  "constants": {
    "THRESHOLD": 0.8349865,
    "ETA_SAFE": 1e-09,
    "F3_radius": 0.00882
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  "source": {
    "frontier_file": "UESFCM_Lebesgue_Cycle_11_TwoRoot_Hard_Frontier.npz",
    "frontier_sha256": "b0ffb1a503fefb8515389bf2ada66b0ded75dcf7c6e9ba816ade8597e5735bf4",
    "kernel_source": "UESFCM_Lebesgue_Cycle_10_Verify_27Root_F3.py via Cycle17 Numba patch"
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    "root_ids": [
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