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Pith Number

pith:5MSSNXOL

pith:2018:5MSSNXOLYSONRU5JMNC5WK32DN
not attested not anchored not stored refs pending

Multivector variate distributions: An application in Finance

Francisco J. Caro-Lopera, Fredy O. Perez Ramirez, Jose. A. Diaz-Garcia

arxiv:1806.09086 v1 · 2018-06-24 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5MSSNXOLYSONRU5JMNC5WK32DN}

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 2026-05-18T00:12:30.398367Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eb2526ddcbc49cd8d3a96345db2b7a1b53cdd66b31bb743dc2f75527b13c0a0f

Aliases

arxiv: 1806.09086 · arxiv_version: 1806.09086v1 · doi: 10.48550/arxiv.1806.09086 · pith_short_12: 5MSSNXOLYSON · pith_short_16: 5MSSNXOLYSONRU5J · pith_short_8: 5MSSNXOL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5MSSNXOLYSONRU5JMNC5WK32DN \
  | 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: eb2526ddcbc49cd8d3a96345db2b7a1b53cdd66b31bb743dc2f75527b13c0a0f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "877ba4e5346be7c73f8d11622a5cc969fb3bbf7dc264325254131dc9bdc189b1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-06-24T05:21:42Z",
    "title_canon_sha256": "1e118bc56eaf44cc46fd12eee62574a11c341617cec8666ede096b4c7a0c7136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09086",
    "kind": "arxiv",
    "version": 1
  }
}