Pith Number

pith:BW56D2JB

pith:2011:BW56D2JBYX6C46JFI6FN3EIH2E

not attested not anchored not stored refs pending

A central limit theorem for stationary random fields

Dalibor Volny (LMRS), Mohamed El Machkouri (LMRS), Wei Biao Wu

arxiv:1109.0838 v2 · 2011-09-05 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BW56D2JBYX6C46JFI6FN3EIH2E}

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	2026-05-18T03:51:14.386219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dbbe1e921c5fc2e7925478add9107d13e05434e114d91ddd617165ce52cc263

Aliases

arxiv: 1109.0838 · arxiv_version: 1109.0838v2 · doi: 10.48550/arxiv.1109.0838 · pith_short_12: BW56D2JBYX6C · pith_short_16: BW56D2JBYX6C46JF · pith_short_8: BW56D2JB

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/BW56D2JBYX6C46JFI6FN3EIH2E \
  | 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: 0dbbe1e921c5fc2e7925478add9107d13e05434e114d91ddd617165ce52cc263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1390e28e42fa00b3def35fe5099bc9b55866d35383318f873a1a9c2710a582a",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-05T09:30:48Z",
    "title_canon_sha256": "b21abaecff94acd33db43e3548d56dda0c132f1c1ad98a227b6de4bc1e523921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0838",
    "kind": "arxiv",
    "version": 2
  }
}