{
  "id": "lm-000068",
  "title": "Embedded Computational Manifold A Critical Supplement to Unified Dynamic Approximation Equation",
  "source_file": "content/papers/2026/2026-05/Embedded Computational Manifold A Critical Supplement to Unified Dynamic Approximation Equation.md",
  "legacy_slug": "Embedded-Computational-Manifold-A-Critical-Supplement-to-Unified-Dynamic-Approximation-Equation.md",
  "ext": "md",
  "language": "en",
  "authorship": "collaborative",
  "created": "2026-08-07",
  "year": 2026,
  "month": "2026-05",
  "date_confidence": "explicit",
  "date_basis": "git-first-add (publication/upload date; not the author's in-text writing date)",
  "canonical_url": "/p/lm-000068/",
  "raw_url": "/raw/lm-000068.md",
  "api_url": "/api/papers/lm-000068.json",
  "legacy_page_url": "/papers/Embedded-Computational-Manifold-A-Critical-Supplement-to-Unified-Dynamic-Approximation-Equation.md.html",
  "legacy_raw_url": "/papers/Embedded-Computational-Manifold-A-Critical-Supplement-to-Unified-Dynamic-Approximation-Equation.md",
  "hash": "sha256:fd164c2d23bfad3a2f4aaee21ab99aad1426b486d21963edbe7bbf40226c3f54"
}