Pith. sign in
Pith Number

pith:W4X4ZE6Y

pith:2019:W4X4ZE6YQMKCCILJE5KQVVHJOW
not attested not anchored not stored refs pending

Local Exchangeability

Chiao-Yu Yang, Michael I. Jordan, Saifuddin Syed, Tamara Broderick, Trevor Campbell

arxiv:1906.09507 v5 · 2019-06-22 · math.ST · math.PR · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W4X4ZE6YQMKCCILJE5KQVVHJOW}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T04:42:28.656477Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b72fcc93d8831421216927550ad4e975aab6a02dab912bfb88a9ded6eb0313dd

Aliases

arxiv: 1906.09507 · arxiv_version: 1906.09507v5 · doi: 10.48550/arxiv.1906.09507 · pith_short_12: W4X4ZE6YQMKC · pith_short_16: W4X4ZE6YQMKCCILJ · pith_short_8: W4X4ZE6Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W4X4ZE6YQMKCCILJE5KQVVHJOW \
  | 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: b72fcc93d8831421216927550ad4e975aab6a02dab912bfb88a9ded6eb0313dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1866df7b503611628184d947ee02f96a5f11ef62898fa6455771397fcfed5d9e",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-06-22T21:17:08Z",
    "title_canon_sha256": "44d7e0b34f3038d7ea4075b0c989c2635d39e724a7e8d63c8156e33008ee2fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09507",
    "kind": "arxiv",
    "version": 5
  }
}