Pith Number

pith:BELH5IPP

pith:2014:BELH5IPPDFXMF36V7UHZV3GAXY

not attested not anchored not stored refs pending

On a representation theorem for finitely exchangeable random vectors

Linglong Yuan, Svante Janson, Takis Konstantopoulos

arxiv:1410.1777 v3 · 2014-10-07 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BELH5IPPDFXMF36V7UHZV3GAXY}

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	2026-05-18T01:18:54.501652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09167ea1ef196ec2efd5fd0f9aecc0be2d71ab618dd22fa94b50e471c1d28934

Aliases

arxiv: 1410.1777 · arxiv_version: 1410.1777v3 · doi: 10.48550/arxiv.1410.1777 · pith_short_12: BELH5IPPDFXM · pith_short_16: BELH5IPPDFXMF36V · pith_short_8: BELH5IPP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BELH5IPPDFXMF36V7UHZV3GAXY \
  | 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: 09167ea1ef196ec2efd5fd0f9aecc0be2d71ab618dd22fa94b50e471c1d28934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af6f47290d06708b62723784dcd463b8e00f683c6159bc516da0a53488b0a64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-07T15:43:33Z",
    "title_canon_sha256": "230f8a1ee0cec1982263136bb0da0b78167bc1b864da197272ebb0c58bd1aea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1777",
    "kind": "arxiv",
    "version": 3
  }
}