Pith Number

pith:F7YEUJYB

pith:2011:F7YEUJYBP2SPK4PBWIGA3UYQY7

not attested not anchored not stored refs pending

Exponential ergodicity and regularity for equations with L\'evy noise

A. Shirikyan, E. Priola, J. Zabczyk, L. Xu

arxiv:1102.5553 v2 · 2011-02-27 · math.AP · 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{F7YEUJYBP2SPK4PBWIGA3UYQY7}

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	2026-05-18T04:23:33.029717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff04a27017ea4f571e1b20c0dd310c7c8dc3d34b21e688b3f7580bd96c24a71

Aliases

arxiv: 1102.5553 · arxiv_version: 1102.5553v2 · doi: 10.48550/arxiv.1102.5553 · pith_short_12: F7YEUJYBP2SP · pith_short_16: F7YEUJYBP2SPK4PB · pith_short_8: F7YEUJYB

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/F7YEUJYBP2SPK4PBWIGA3UYQY7 \
  | 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: 2ff04a27017ea4f571e1b20c0dd310c7c8dc3d34b21e688b3f7580bd96c24a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e94c21c8bfdc5d079612a64d372eba34710b2524fb34406bb19804767886c393",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-27T21:50:55Z",
    "title_canon_sha256": "be44220a1a2e778e375e65cfa0710f17f474c4db724cf6dfb85fd17bee26afdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5553",
    "kind": "arxiv",
    "version": 2
  }
}