Pith Number

pith:323PT25X

pith:2011:323PT25XNVCFUUQTLFP32OP7K2

not attested not anchored not stored refs pending

Rate of Convergence in the entropic free CLT

F. G\"otze, G. P. Chistyakov

arxiv:1112.5087 v1 · 2011-12-21 · 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{323PT25XNVCFUUQTLFP32OP7K2}

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	2026-05-18T04:05:56.247568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb6f9ebb76d445a5213595fbd39ff568de6db52ab55e4404da856290e092b6f

Aliases

arxiv: 1112.5087 · arxiv_version: 1112.5087v1 · doi: 10.48550/arxiv.1112.5087 · pith_short_12: 323PT25XNVCF · pith_short_16: 323PT25XNVCFUUQT · pith_short_8: 323PT25X

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/323PT25XNVCFUUQTLFP32OP7K2 \
  | 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: deb6f9ebb76d445a5213595fbd39ff568de6db52ab55e4404da856290e092b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f865d05706ba43ca123a0ee256427cd43d44b8676fb7e673f818838bbeb73e07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-21T16:28:58Z",
    "title_canon_sha256": "aab382d364cf76ee5d23ef17defedcd801038555a126fb70508e292dee727558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5087",
    "kind": "arxiv",
    "version": 1
  }
}