{
  "schema_version": 1,
  "title": "Repro - Riemannian Dueling Optimization",
  "emoji": "🎯",
  "space_id": "DineshAI/nDfDnsyllY",
  "paper": "2603.00023",
  "tags": ["icml2026-repro", "paper-nDfDnsyllY"],
  "updated_at": "2026-07-31T01:00:00+00:00",
  "root": {
    "slug": "current-verification",
    "title": "Current verification",
    "file": "pages/current-verification/page.md",
    "children": [
      {"slug": "current-claim-1", "title": "Claim 1 — RDNGD complexity", "file": "pages/current-claim-1/page.md", "children": []},
      {"slug": "current-claim-2", "title": "Claim 2 — RRDNGD convergence and source defect", "file": "pages/current-claim-2/page.md", "children": []},
      {"slug": "current-claim-3", "title": "Claim 3 — RDFW", "file": "pages/current-claim-3/page.md", "children": []},
      {"slug": "current-claim-4", "title": "Claim 4 — comparison estimator", "file": "pages/current-claim-4/page.md", "children": []},
      {"slug": "current-claim-5", "title": "Claim 5 — real-world applications", "file": "pages/current-claim-5/page.md", "children": []},
      {"slug": "current-claim-6", "title": "Claim 6 — sphere and dense SPD", "file": "pages/current-claim-6/page.md", "children": []},
      {"slug": "visibility-matrix", "title": "Evaluator visibility matrix", "file": "pages/visibility-matrix/page.md", "children": []},
      {
        "slug": "historical-rejected-baseline",
        "title": "Historical rejected baseline",
        "file": "pages/index.md",
        "children": [
          {"slug": "claim-1-rdngd", "title": "Claim 1 — RDNGD", "file": "pages/claim-1-rdngd/page.md", "children": []},
          {"slug": "claim-2-rrdngd", "title": "Claim 2 — RRDNGD", "file": "pages/claim-2-rrdngd/page.md", "children": []},
          {"slug": "claim-3-rdfw", "title": "Claim 3 — RDFW", "file": "pages/claim-3-rdfw/page.md", "children": []},
          {"slug": "claim-4-comparison-estimator", "title": "Claim 4 — Comparison estimator", "file": "pages/claim-4-comparison-estimator/page.md", "children": []},
          {"slug": "claim-5-cifar-attack", "title": "Claim 5 — CIFAR attack", "file": "pages/claim-5-cifar-attack/page.md", "children": []},
          {"slug": "claim-6-synthetic-manifolds", "title": "Claim 6 — Synthetic manifolds", "file": "pages/claim-6-synthetic-manifolds/page.md", "children": []},
          {"slug": "methods", "title": "Methods", "file": "pages/methods/page.md", "children": []},
          {"slug": "negative-controls", "title": "Negative controls", "file": "pages/negative-controls/page.md", "children": []},
          {"slug": "conclusion", "title": "Conclusion", "file": "pages/conclusion/page.md", "children": []}
        ]
      }
    ]
  },
  "revision": "candidate-2026-07-30"
}