{
  "as_of": "2026-09-05",
  "references": [
    {
      "title": "Variants of the Selberg sieve, and bounded intervals containing many primes",
      "author": "D. H. J. Polymath",
      "venue": "Algebra & Number Theory 8 (2014), no. 9",
      "used_for": "Heath-Brown identity for any K and fixed-K analytic decomposition context",
      "url": "https://msp.org/ant/2014/8-9/ant-v8-n9-s.pdf"
    },
    {
      "title": "Seminaire Bourbaki: Zhang's theorem on bounded gaps",
      "author": "Emmanuel Kowalski",
      "used_for": "Fixed-J Heath-Brown decomposition with polylogarithmic constants depending on J",
      "url": "https://people.math.ethz.ch/~kowalski/zhang-bourbaki.pdf"
    },
    {
      "title": "Numerically explicit estimates for the distribution of rough numbers",
      "author": "Kai (Steve) Fan",
      "venue": "Journal of Number Theory 260 (2024), 120-150",
      "used_for": "Rough-number terminology and calibration",
      "arxiv": "2306.03347"
    }
  ]
}