Pith Number

pith:HMHEMBRY

pith:2011:HMHEMBRY4SCUPH4M57OH3CLIMJ

not attested not anchored not stored refs pending

U-statistics of Ornstein-Uhlenbeck branching particle system

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

arxiv:1111.4560 v2 · 2011-11-19 · 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{HMHEMBRY4SCUPH4M57OH3CLIMJ}

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	2026-05-18T04:07:53.650107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0e460638e485479f8cefdc7d8968627fc37591895a9ab11518415d66b57872

Aliases

arxiv: 1111.4560 · arxiv_version: 1111.4560v2 · doi: 10.48550/arxiv.1111.4560 · pith_short_12: HMHEMBRY4SCU · pith_short_16: HMHEMBRY4SCUPH4M · pith_short_8: HMHEMBRY

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/HMHEMBRY4SCUPH4M57OH3CLIMJ \
  | 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: 3b0e460638e485479f8cefdc7d8968627fc37591895a9ab11518415d66b57872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b171dc323f2ddf0b1ea46bba8fa233fdb281349051715dcf4160cb3093994b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-19T14:12:56Z",
    "title_canon_sha256": "e63e28219e765975da281835e575a11865e505dd5544d99f366b5da96a0d414e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4560",
    "kind": "arxiv",
    "version": 2
  }
}