{
  "family_id": "218",
  "title": "Conformal universality for weakly interacting and random-bond Ising models",
  "discipline": "Probability and statistical mechanics",
  "source_commit": "fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb",
  "papers": [
    {
      "title": "Quenched SLE₃ limits for general weak random-bond Ising models",
      "path": "preprints/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026/general-weak-random-bond-ising.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026/general-weak-random-bond-ising.pdf",
      "readme_path": "preprints/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "Quenched SLE₃ Universality for the Weak Random-Bond Ising Model",
      "path": "preprints/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026/quenched-sle3-weak-random-bond-ising.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026/quenched-sle3-weak-random-bond-ising.pdf",
      "readme_path": "preprints/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "Logarithmic Relative Fluctuations in the Weakly Disordered Planar Ising Model",
      "path": "preprints/Logarithmic-Relative-Fluctuations-in-the-Weakly-Disordered-Planar-Ising-Model-October-5-2026/critical-relative-second-moment-weak-random-bond-ising.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Logarithmic-Relative-Fluctuations-in-the-Weakly-Disordered-Planar-Ising-Model-October-5-2026/critical-relative-second-moment-weak-random-bond-ising.pdf",
      "readme_path": "preprints/Logarithmic-Relative-Fluctuations-in-the-Weakly-Disordered-Planar-Ising-Model-October-5-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "Conformal universality of bulk Ising correlations under weak interactions",
      "path": "preprints/Conformal-universality-of-bulk-Ising-correlations-under-weak-interactions-September-23-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Conformal-universality-of-bulk-Ising-correlations-under-weak-interactions-September-23-2026/paper.pdf",
      "readme_path": "preprints/Conformal-universality-of-bulk-Ising-correlations-under-weak-interactions-September-23-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "SLE3 universality for weak finite-range Ising interactions",
      "path": "preprints/SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026/paper.pdf",
      "readme_path": "preprints/SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "Buffered comparison and stopping-band resolution in critical Ising",
      "path": "preprints/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026/paper.pdf",
      "readme_path": "preprints/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    }
  ],
  "lean_scope_path": "lean/docs/218.md",
  "lean_scope_url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/docs/218.md",
  "verification_status": "scope_document_available_not_independently_verified",
  "review_status": "inventory_complete_deep_review_pending"
}
