{
  "date": "2026-09-07",
  "track": "WL3",
  "purpose": "External calibration only; no external theorem is promoted beyond its stated quantitative precision.",
  "sources": [
    {
      "work": "Matomaki-Teravainen, On the Mobius function in all short intervals",
      "identifier": "arXiv:1911.09076 / JEMS 25 (2023)",
      "calibration": "Ramare extraction is structurally powerful; normalized conclusion is qualitative o(1), not fixed X-power."
    },
    {
      "work": "Helfgott-Radziwill, Expansion, divisibility and parity",
      "identifier": "arXiv:2103.06853",
      "calibration": "Prime-divisibility expansion is governed by harmonic prime mass and produces logarithmic-scale Liouville gains."
    },
    {
      "work": "Matthiesen, Quantitative asymptotics for polynomial patterns in the primes",
      "identifier": "Mathematika 2026",
      "calibration": "Mobius/Liouville polynomial-pattern estimates save arbitrary powers of logarithm, not a fixed power of X."
    },
    {
      "work": "Guo, Logarithmic Chowla Correlations Across All Shift Scales",
      "identifier": "arXiv:2608.23500",
      "calibration": "Power-logarithmic logarithmically weighted two-point Liouville cancellation; not the present single-dyadic structured-weight fixed-X-power estimate."
    },
    {
      "work": "Gorodetsky, The variance of integers without small prime factors in short intervals",
      "identifier": "Math. Z. 308 (2024), Article 59",
      "calibration": "Smooth-number analysis explicitly uses squarefree smooth counts Psi_{mu^2}; fixed-power smoothness thresholds are not naturally power-sparse."
    }
  ]
}