Pith Number

pith:6LM7GE6M

pith:2011:6LM7GE6MUUAEQALRGVLPAR4JWR

not attested not anchored not stored refs pending

CLT for Ornstein-Uhlenbeck branching particle system

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

arxiv:1111.4559 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{6LM7GE6MUUAEQALRGVLPAR4JWR}

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	2026-05-18T04:07:53.662705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d9f313cca5004801713556f04789b47d547c4afa4ae5ba31e39ea43b38a490

Aliases

arxiv: 1111.4559 · arxiv_version: 1111.4559v2 · doi: 10.48550/arxiv.1111.4559 · pith_short_12: 6LM7GE6MUUAE · pith_short_16: 6LM7GE6MUUAEQALR · pith_short_8: 6LM7GE6M

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/6LM7GE6MUUAEQALRGVLPAR4JWR \
  | 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: f2d9f313cca5004801713556f04789b47d547c4afa4ae5ba31e39ea43b38a490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdcd4772749f6b405881fabfdb2f90aed9f9b8dbbce3d377e4edb51edb29f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-19T14:06:21Z",
    "title_canon_sha256": "768c420e3c9ba2dc7a15be06066630246aa44188855a2e44ad95292a57a7aa26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4559",
    "kind": "arxiv",
    "version": 2
  }
}