{
  "retrieved_at_utc": "2026-10-08T21:56:34.840882+00:00",
  "external_sources": [
    {
      "url": "https://github.com/pytorch/pytorch/blob/main/torch/utils/data/distributed.py",
      "extent": "Displayed implementation and sampler documentation",
      "observation": "Current source constructs a randperm list, pads/drops and rank-slices; no local PyTorch execution."
    },
    {
      "url": "https://github.com/DEShawResearch/random123",
      "extent": "README overview",
      "observation": "Counter/key stateless pseudorandom library, not a mathematical independent-bit backend; no local library run."
    },
    {
      "url": "https://arxiv.org/pdf/2512.02724v1",
      "extent": "Abstract and selected introduction on printed pages 1\u20133",
      "observation": "Prior cell-probe/bit-probe distinction and related upper-bound context. The PDF title date is 3 December 2025 and arXiv metadata submission is 2 December; experimental HTML displayed 24 August 2026. PDF is used for version-specific context."
    }
  ],
  "independent_external_proof_verification": "not_run"
}