{
  "date": "2026-09-08",
  "sources": [
    {
      "name": "A. Zaccagnini, Primes in almost all short intervals and the distribution of the zeros of the Riemann zeta-function",
      "url": "https://people.dmi.unipr.it/alessandro.zaccagnini/psfiles/papers/Q429.pdf",
      "role": "classical inverse short-interval calibration: uniform Selberg-integral bounds imply zero-density and zero-free information"
    },
    {
      "name": "A. Gafni and T. Tao, On the number of exceptional intervals to the prime number theorem in short intervals",
      "url": "https://arxiv.org/abs/2505.24017",
      "role": "current quantitative exceptional-set technology; theorem formulated at fixed relative threshold"
    },
    {
      "name": "F. Broucke, On the connection between zero-free regions and the error term in the Prime Number Theorem",
      "url": "https://link.springer.com/article/10.1007/s10476-026-00176-y",
      "role": "2026 calibration of the near-equivalence and sharpness between zero-free regions and PNT error strength"
    }
  ]
}