Pith Number

pith:YMLNF5ZR

pith:2011:YMLNF5ZR56BB3JEZQLUTP5SZIM

not attested not anchored not stored refs pending

Optimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants

Aline Bonami (MAPMO), Giovanni Peccati, Hermine Bierm\'e (MAP5, Ivan Nourdin (IECN), LPMT)

arxiv:1109.1546 v1 · 2011-09-07 · 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{YMLNF5ZR56BB3JEZQLUTP5SZIM}

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	2026-05-18T04:13:55.497876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c316d2f731ef821da49982e937f659432b2c4db9b33261fb171d9c38ac333a7b

Aliases

arxiv: 1109.1546 · arxiv_version: 1109.1546v1 · doi: 10.48550/arxiv.1109.1546 · pith_short_12: YMLNF5ZR56BB · pith_short_16: YMLNF5ZR56BB3JEZ · pith_short_8: YMLNF5ZR

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/YMLNF5ZR56BB3JEZQLUTP5SZIM \
  | 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: c316d2f731ef821da49982e937f659432b2c4db9b33261fb171d9c38ac333a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc43b965c6147e1a9d80c3d940739658cb5423ede4e84d0f79f5d9efa7a8a020",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-07T19:42:49Z",
    "title_canon_sha256": "812e174b6075dd977940963cff7b310397fe11da4cdfff676f30f1025fe463e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1546",
    "kind": "arxiv",
    "version": 1
  }
}