Pith Number

pith:4XJIIHGU

pith:2011:4XJIIHGUIK5TWFEFQMILD7NS2G

not attested not anchored not stored refs pending

Universal Gaussian fluctuations on the discrete Poisson chaos

Cengbo Zheng (LPMA, Giovanni Peccati, LAMA)

arxiv:1110.5723 v1 · 2011-10-26 · 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{4XJIIHGUIK5TWFEFQMILD7NS2G}

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	2026-05-18T04:10:11.486123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d2841cd442bb3b14858310b1fdb2d1be29fbe8255e422fb5b543c0d5e21690

Aliases

arxiv: 1110.5723 · arxiv_version: 1110.5723v1 · doi: 10.48550/arxiv.1110.5723 · pith_short_12: 4XJIIHGUIK5T · pith_short_16: 4XJIIHGUIK5TWFEF · pith_short_8: 4XJIIHGU

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/4XJIIHGUIK5TWFEFQMILD7NS2G \
  | 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: e5d2841cd442bb3b14858310b1fdb2d1be29fbe8255e422fb5b543c0d5e21690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8acb35b07b9dccceec727636c205053e6bd0b90f8b7055c5b5b3b13976143fdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-26T07:27:39Z",
    "title_canon_sha256": "f6db3c5dc80dcc7fee34a469cfc1af2b69daf7a58000125e0218f7de43bdeeae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5723",
    "kind": "arxiv",
    "version": 1
  }
}