{
  "date": "2026-09-09",
  "sources": [
    {
      "name": "Hugh L. Montgomery and K. Soundararajan — Primes in short intervals",
      "url": "https://arxiv.org/abs/math/0409258",
      "role": "Gaussian local short-interval moment and refined singular-series calibration"
    },
    {
      "name": "Sun-Kai Leung — Joint distribution of primes in multiple short intervals",
      "url": "https://doi.org/10.1016/j.aim.2026.110847",
      "role": "2026 multiscale Gaussian prime-count law under RH and LI; shows current direct multiscale Gaussian theory is conditional on root-level spectral hypotheses"
    },
    {
      "name": "Matomaki, Radziwill, Shao, Tao, Teravainen — Higher uniformity II",
      "url": "https://doi.org/10.1007/s00222-026-01408-6",
      "role": "unconditional higher-uniformity calibration for actual short-interval arithmetic"
    }
  ]
}