{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1570",
  "content_hash": null,
  "slug": "generic-analytic-arnold-diffusion-apriori-stable-claim-literature-frontier",
  "type": "claim",
  "title": "Strongest checked neighboring result",
  "summary": "Generic diffusion is proved in broad a priori unstable systems and in several stable models or regularity classes.",
  "relevance": "Locates the present research frontier immediately below Generic analytic Arnold diffusion in a priori stable systems.",
  "relevance_source": "recorded",
  "body": "Generic diffusion is proved in broad a priori unstable systems and in several stable models or regularity classes.\n\nThis leaves the following boundary unresolved: A general analytic genericity theorem for a priori stable steep systems remains open. The distinction is retained here so a restricted theorem, finite computation, or neighboring case is not presented as a solution of the full target.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://arxiv.org/abs/1203.2893",
      "locator": "P. Bernard, Arnold's diffusion: from the a priori unstable to the a priori stable case. a priori stable discussion"
    },
    "missing": [
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      "command",
      "runtime",
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    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/1203.2893",
    "locator": "P. Bernard, Arnold's diffusion: from the a priori unstable to the a priori stable case. a priori stable discussion"
  },
  "relations": [
    {
      "slug": "R1571",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "informs",
      "direction": "outgoing"
    },
    {
      "slug": "generic-analytic-arnold-diffusion-apriori-stable",
      "title": "generic analytic arnold diffusion apriori stable",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}