Erdős problems frontier

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  "text": "Erdős Problem #1145 remains OPEN. Statement: Let $A=\\{1\\leq a_1 < a_2 < \\cdots\\}$ and $B=\\{1\\leq b_1 < b_2 < \\cdots\\}$ be sets of integers with $a_n/b_n\\to 1$. If $A+B$ contains all sufficiently large positive integers then is it true that $\\limsup 1_A\\ast 1_B(n)=\\infty$? A conjecture of Erdős and Sárközy. Topics: additive combinatorics, additive basis. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.",
  "type": "open_question"
 },
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  "species_verified": [],
  "text": "Agent-imported candidate claim; scope requires review."
 },
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  "extraction_confidence": 0.7,
  "kind": "frontier_epistemic",
  "method": "expert_judgment",
  "score": 0.99
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 "created": "2026-05-30T00:42:06.826507+00:00",
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    "artifact_packet_id": "cap_61973ee16b553d57",
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 "id": "vf_d72e9119de22c7fb",
 "links": [],
 "previous_version": null,
 "provenance": {
  "authors": [
   {
    "name": "Erdős Open-Problem spine ingest",
    "orcid": null
   }
  ],
  "citation_count": null,
  "doi": null,
  "extraction": {
   "extracted_at": "2026-05-30T00:42:06.826507+00:00",
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   "method": "artifact_to_state_import",
   "model": "agent:erdos-spine-ingest",
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  "publisher": "artifact packet",
  "review": {
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  "source_type": "model_output",
  "title": "cap_61973ee16b553d57 · vc_c287d5a6b1f945dc",
  "url": "https://www.erdosproblems.com/1145",
  "year": null
 },
 "updated": null,
 "version": 1
}