{
  "investigation_date": "2026-10-19",
  "historical_review_cutoff": "2013-08-11",
  "role": "New ambient computation, not a retroactive claim about the original proof",
  "sources": [
    {
      "title": "Vinberg's Algorithm (two-page description)",
      "author_site": "Nikolay Bogachev",
      "url": "https://nvbogachev.netlify.app/tools/arith-hyp-refl-gr/VA-Descr.pdf",
      "local_file": "vinberg-description.pdf",
      "inspected": true,
      "role": "Method description and finite-volume stopping criterion; cites Vinberg 1972 and 1975",
      "date_of_description": "unverified; not used as a dated historical proof input"
    },
    {
      "title": "The groups of units of certain quadratic forms",
      "author": "E. B. Vinberg",
      "year": 1972,
      "citation": "Mat. Sb. (N.S.) 87(129), 18\u201336",
      "original_inspected_this_stage": false,
      "role": "Classical reflection-chamber method; cited through the inspected description"
    },
    {
      "title": "Classical Coxeter fundamental-polyhedron and presentation theorem",
      "role": "Accepted geometric input: a hyperbolic Coxeter polyhedron is a fundamental domain for its wall-reflection group, with its Coxeter presentation",
      "formalized_or_reproved_here": false,
      "qualification": "Scripts verify its geometric hypotheses; matrix relations alone are insufficient to certify the abstract presentation"
    },
    {
      "title": "VinAl: Vinberg's algorithm",
      "authors": "Nikolay Bogachev and Alexander Perepechko",
      "url": "https://github.com/aperep/vinal",
      "role": "Software availability reference only; not installed or executed"
    }
  ],
  "implementation": "Standalone specialized norm-two Vinberg enumeration; exact Sage discovery and independent SymPy verification",
  "paid_inference_calls": 0,
  "publication": false
}