Pith Number

pith:XO2QBATX

pith:2010:XO2QBATXRJ6JYNILF5E4DO7TUY

not attested not anchored not stored refs pending

CLT for U-statistics of Ornstein-Uhlenbeck branching particle system with small branching rate

Piotr Mi{\l}o\'s, Rados{\l}aw Adamczak

arxiv:1007.1719 v2 · 2010-07-10 · 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{XO2QBATXRJ6JYNILF5E4DO7TUY}

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	2026-05-18T02:48:02.547576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb50082778a7c9c350b2f49c1bbf3a60664577eee2b6ed481a81c26f26c61b8

Aliases

arxiv: 1007.1719 · arxiv_version: 1007.1719v2 · doi: 10.48550/arxiv.1007.1719 · pith_short_12: XO2QBATXRJ6J · pith_short_16: XO2QBATXRJ6JYNIL · pith_short_8: XO2QBATX

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/XO2QBATXRJ6JYNILF5E4DO7TUY \
  | 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: bbb50082778a7c9c350b2f49c1bbf3a60664577eee2b6ed481a81c26f26c61b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82da98711a1111b079ae144bd0b2bb7a3660c71acc4002797d6fe2e754d6a15f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-10T13:05:24Z",
    "title_canon_sha256": "513d9b27408d94692be8f6d6bc9ec250fed189665047568d976b63d45a43824d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1719",
    "kind": "arxiv",
    "version": 2
  }
}