Pith Number

pith:5GK7RVFF

pith:2013:5GK7RVFFZ3FKCH27AGPAJBXHOW

not attested not anchored not stored refs pending

EM algorithms for estimating the Bernstein copula

Donald Richards, Gwo Dong Lin, Satoshi Kuriki, Xiaoling Dou

arxiv:1301.2677 v4 · 2013-01-12 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GK7RVFFZ3FKCH27AGPAJBXHOW}

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	2026-05-18T03:02:17.778836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e995f8d4a5cecaa11f5f019e0486e775a9e3295f73fbf7edad4e678e2c8a954d

Aliases

arxiv: 1301.2677 · arxiv_version: 1301.2677v4 · doi: 10.48550/arxiv.1301.2677 · pith_short_12: 5GK7RVFFZ3FK · pith_short_16: 5GK7RVFFZ3FKCH27 · pith_short_8: 5GK7RVFF

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/5GK7RVFFZ3FKCH27AGPAJBXHOW \
  | 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: e995f8d4a5cecaa11f5f019e0486e775a9e3295f73fbf7edad4e678e2c8a954d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3340ef980c77e8072421b725f85679b3e45796e7585ba28f820d36b4c5ba6587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2013-01-12T11:44:14Z",
    "title_canon_sha256": "b9f48d520faf0c83807a01cb3d44ea9060e23f1287ee44a0fd5024d35f22df0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2677",
    "kind": "arxiv",
    "version": 4
  }
}