{
  "table": "T451",
  "baseline_revision": "ca6b7cc20c6247315eb268e26368c573dc5b63e7a3f85f87b54a5ff1dcd781be",
  "baseline_entries": 165,
  "status": "partially resolved: origin justified, nonzero rational selection unresolved; all values preserved",
  "selection": "it retains all 165 previously computed values for $\\beta=1,2,4$ and $-6\\leq s\\leq3$ with reduced denominator at most $4$; $s=0$ is the soft-edge reference, while the relevance of the nonzero sampling family remains unresolved",
  "reason": "The argument $s=0$ is the unshifted soft spectral edge in the scaling of CITE{Bornemann}, equation (2.4). The nonzero rational arguments are retained reference samples. A bound on their denominators, or agreement with a companion table, does not establish separate mathematical or application-specific significance for each sample. The references cited here do not justify that whole selection.",
  "primary_sources": [
    "https://arxiv.org/html/0904.1581v5"
  ],
  "skill_sha256": "b4d51ded0d52cfe3dcc0859de0845c3879b0c2363273ba7e809a7e06ded40b18",
  "earlier_skill_sha256": "ddda1bedfde5a883d9a3d1d24e88e731970776abd37e4a91d4c01c4af8542c44",
  "every_free_parameter": {
    "beta": "1, 2 and 4 are the real, complex and quaternionic Gaussian matrix symmetry classes, not an order grid",
    "s": "partially resolved: origin justified, nonzero rational selection unresolved; all values preserved"
  },
  "retained_numeric_identifiers_reused_without_reassignment": true,
  "hand_edited_leaf_metadata_preserved": true,
  "removed_samples_retained_in_website_revision_history": true,
  "publication_or_approval_requested": false
}