[
  {
    "id": "ARR-2026-3TG8KQ8WTF9M4SP7-v1",
    "type": "article",
    "title": "Uniform Log-Sobolev Inequality and Mass Gap for Lattice Yang-Mills Theory: A Conditional Reduction",
    "author": [
      {
        "literal": "Lluis Eriksson"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2026,
          2,
          9
        ]
      ]
    },
    "publisher": "AIRR.SCIENCE",
    "archive": "AIRR.SCIENCE",
    "archive_location": "ARR-2026-3TG8KQ8WTF9M4SP7",
    "version": "v1",
    "genre": "Archived manuscript",
    "URL": "https://airr.science/papers/ARR-2026-3TG8KQ8WTF9M4SP7/versions/v1/",
    "note": "Archived manuscript; ARR-2026-3TG8KQ8WTF9M4SP7 v1. Not peer reviewed by AIRR. Historical import; not assessed by AIRR.",
    "abstract": "This replacement corrects the title and foregrounds the logical status already partly recorded in public version 3. The uniform log-Sobolev conclusion requires the cross-scale derivative hypothesis (H-XSD), whose purported companion-paper discharge is not re-verified here. The mass-gap conclusion additionally requires the Dobrushin-type hypothesis (H-DOB), or an independently valid alternative DLR-LSI/mixing route. Neither input is proved by this manuscript alone. No unconditional weak-coupling lattice mass gap, continuum construction, Osterwalder-Schrader reconstruction, or Clay-problem result is claimed. The preserved version 3 follows the correction page for provenance."
  }
]