{
  "family_id": "271",
  "title": "Bloch's law, its lattice correction, and the spherical magnetization law",
  "discipline": "Mathematical physics",
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      "title": "Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions",
      "path": "preprints/Blochs-Law-for-Finite-Range-Heisenberg-Ferromagnets-in-Three-Dimensions-October-5-2026/bloch-law-heisenberg.pdf",
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    {
      "title": "The first lattice correction to Bloch's law",
      "path": "preprints/The-first-lattice-correction-to-Blochs-law-October-5-2026/first-lattice-correction-bloch-law.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-first-lattice-correction-to-Blochs-law-October-5-2026/first-lattice-correction-bloch-law.pdf",
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      "tex_paths": [],
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    },
    {
      "title": "The spherical magnetization law for the three-dimensional quantum Heisenberg ferromagnet",
      "path": "preprints/The-spherical-magnetization-law-for-the-three-dimensional-quantum-Heisenberg-ferromagnet-October-5-2026/spherical-magnetization.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-spherical-magnetization-law-for-the-three-dimensional-quantum-Heisenberg-ferromagnet-October-5-2026/spherical-magnetization.pdf",
      "readme_path": "preprints/The-spherical-magnetization-law-for-the-three-dimensional-quantum-Heisenberg-ferromagnet-October-5-2026/README.md",
      "tex_paths": [],
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    },
    {
      "title": "Spontaneous magnetization in the quantum Heisenberg ferromagnet",
      "path": "preprints/Spontaneous-magnetization-in-the-quantum-Heisenberg-ferromagnet-September-24-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Spontaneous-magnetization-in-the-quantum-Heisenberg-ferromagnet-September-24-2026/paper.pdf",
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    }
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  "verification_status": "scope_document_available_not_independently_verified",
  "review_status": "inventory_complete_deep_review_pending"
}