Pith Number

pith:5X76Y6QI

pith:2011:5X76Y6QIEUVT53S7FKAF2EZ2JY

not attested not anchored not stored refs pending

Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem

Friedrich G\"otze, Gennadiy P. Chistyakov, Sergey G. Bobkov

arxiv:1104.3994 v2 · 2011-04-20 · 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{5X76Y6QIEUVT53S7FKAF2EZ2JY}

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	2026-05-18T03:17:44.879757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edffec7a08252b3eee5f2a805d133a4e2094057bf3747772d619719af83f9943

Aliases

arxiv: 1104.3994 · arxiv_version: 1104.3994v2 · doi: 10.48550/arxiv.1104.3994 · pith_short_12: 5X76Y6QIEUVT · pith_short_16: 5X76Y6QIEUVT53S7 · pith_short_8: 5X76Y6QI

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/5X76Y6QIEUVT53S7FKAF2EZ2JY \
  | 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: edffec7a08252b3eee5f2a805d133a4e2094057bf3747772d619719af83f9943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73c74028d588092ac8d2b9dbfe259c90d0bb61301c836d8106b1d082394e71e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-20T11:05:09Z",
    "title_canon_sha256": "c8a353c3656cc7d3cd8552b1ad1c8787447ae6681bc52358da4474dfe5ad74cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3994",
    "kind": "arxiv",
    "version": 2
  }
}