Pith Number

pith:OLTZH4C7

pith:2009:OLTZH4C72WWWCXAI5324KFYXF3

not attested not anchored not stored refs pending

Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos

Gesine Reinert, Giovanni Peccati, Ivan Nourdin

arxiv:0904.1153 v2 · 2009-04-07 · 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{OLTZH4C72WWWCXAI5324KFYXF3}

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	2026-05-18T04:36:59.495254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e793f05fd5ad615c08eef5c517172ed38586b60d3d061f9ab4c481cd0c9776

Aliases

arxiv: 0904.1153 · arxiv_version: 0904.1153v2 · doi: 10.48550/arxiv.0904.1153 · pith_short_12: OLTZH4C72WWW · pith_short_16: OLTZH4C72WWWCXAI · pith_short_8: OLTZH4C7

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/OLTZH4C72WWWCXAI5324KFYXF3 \
  | 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: 72e793f05fd5ad615c08eef5c517172ed38586b60d3d061f9ab4c481cd0c9776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55c7aadc65614a24d45d8fa53c479db0e4be24e4989c8a4074c1a3dc65868e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-04-07T14:30:27Z",
    "title_canon_sha256": "93dbc7c531c1bfa2bf4650365bb95a3c627f291b9cff18369bb80573fe6a4d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1153",
    "kind": "arxiv",
    "version": 2
  }
}