Pith Number

pith:XOPKOSUL

pith:2012:XOPKOSULLDMEGHXXWJVCD3OOPL

not attested not anchored not stored refs pending

On the exponential ergodicity for L\'{e}vy driven Ornstein-Uhlenbeck processes

Jian Wang

arxiv:1205.4510 v1 · 2012-05-21 · 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{XOPKOSULLDMEGHXXWJVCD3OOPL}

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	2026-05-18T03:55:13.029368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9ea74a8b58d8431ef7b26a21edce7ae6d4784245350a13544d32d9d4333cf2

Aliases

arxiv: 1205.4510 · arxiv_version: 1205.4510v1 · doi: 10.48550/arxiv.1205.4510 · pith_short_12: XOPKOSULLDME · pith_short_16: XOPKOSULLDMEGHXX · pith_short_8: XOPKOSUL

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/XOPKOSULLDMEGHXXWJVCD3OOPL \
  | 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: bb9ea74a8b58d8431ef7b26a21edce7ae6d4784245350a13544d32d9d4333cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c364b548f66b9843a1f9f41daa97d5c178d71a3a6e2fd7e5f6ce6d3e66d8a3b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-21T07:46:10Z",
    "title_canon_sha256": "3e3db937af4db1b98b88fdc9a8052e5d7bc2c4c8b7c2d9d0db075fdce2236cba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4510",
    "kind": "arxiv",
    "version": 1
  }
}