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Pith Number

pith:GC4L63SE

pith:2013:GC4L63SEFR4RWWZAG4B6E6C3MK
not attested not anchored not stored refs pending

Equiaffine Structure and Conjugate Ricci-symmetry of a Statistical Manifold

Chol-Rim Min, Hyong-Chol O, Won-Hak Ri

arxiv:1302.3167 v1 · 2013-02-13 · math.DS · cs.IT · math-ph · math.DG · math.IT · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GC4L63SEFR4RWWZAG4B6E6C3MK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T03:30:14.689743Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

30b8bf6e442c791b5b203703e2785b6291badce9ad66e5f3e61f24270d35093d

Aliases

arxiv: 1302.3167 · arxiv_version: 1302.3167v1 · doi: 10.48550/arxiv.1302.3167 · pith_short_12: GC4L63SEFR4R · pith_short_16: GC4L63SEFR4RWWZA · pith_short_8: GC4L63SE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GC4L63SEFR4RWWZAG4B6E6C3MK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 30b8bf6e442c791b5b203703e2785b6291badce9ad66e5f3e61f24270d35093d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7f2b5d470a773dc5edbfea069f94ed9d74c8b8c6f4d54751fefdccd3d693d380",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.DG",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-13T17:09:38Z",
    "title_canon_sha256": "20537ddc92a3cd7249eb1601b0f946d1d348c93c9abc4a4be0875609d3c54f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3167",
    "kind": "arxiv",
    "version": 1
  }
}