Wiki
Wiki

Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

source_snapshot.json

json
{
  "title": "On the problem of large gcd for disjoint residue classes",
  "authors": [
    "Jan Fornal",
    "Yu-Chen Sun"
  ],
  "identifier": "arXiv:2607.24655v1",
  "submitted_utc": "2026-07-27T16:51:58Z",
  "accessed": "2026-09-05",
  "canonical_pdf": "fornal_2026_large_gcd_disjoint_residue_classes.pdf",
  "source_url": "https://arxiv.org/pdf/2607.24655v1",
  "metadata_url": "https://arxiv.org/abs/2607.24655v1",
  "bytes": 454556,
  "pages": 19,
  "provenance": "The retained PDF is byte-identical to the arXiv v1 download of 2026-09-05.",
  "version_scope": "The current arXiv record checked on this date lists only v1 and no journal reference.",
  "search_scope": {
    "date": "2026-09-05",
    "queries": [
      "\"Fornal\" \"Sun\" \"2607.24655\"",
      "\"On the problem of large gcd for disjoint residue classes\""
    ],
    "primary_result": "https://arxiv.org/abs/2607.24655",
    "result": "No later primary version or journal acceptance located in this targeted search; secondary summaries are not proof or acceptance evidence.",
    "exhaustive": false
  },
  "mathematical_scope": {
    "complete_rewritten_proof_components": 9,
    "external_inputs": "Prime number theorem and Mertens estimates, stated in external_inputs.md; CRT has an existing canonical elementary proof.",
    "source_sketch": "Remark1 alternative partition is not a complete reconstructed proof.",
    "corrections": "The result pages identify local argument repairs, without changing the original PDF.",
    "local_lean_build": false,
    "journal_acceptance_verified": false,
    "independent_external_certification_claimed": false
  }
}