Pith Number

pith:5VGOG5TB

pith:2010:5VGOG5TBIZH3Z2WBLKIWYIVVUU

not attested not anchored not stored refs pending

Coupling property and gradient estimates of L\'{e}vy processes via the symbol

Jian Wang, Pawe{\l} Sztonyk, Ren\'e L. Schilling

arxiv:1011.1067 v3 · 2010-11-04 · math.PR · math.FA · 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{5VGOG5TBIZH3Z2WBLKIWYIVVUU}

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	2026-05-18T03:39:14.788003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4ce37661464fbceac15a916c22b5a530f031afff1c874048330a3c8079b6ba

Aliases

arxiv: 1011.1067 · arxiv_version: 1011.1067v3 · doi: 10.48550/arxiv.1011.1067 · pith_short_12: 5VGOG5TBIZH3 · pith_short_16: 5VGOG5TBIZH3Z2WB · pith_short_8: 5VGOG5TB

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/5VGOG5TBIZH3Z2WBLKIWYIVVUU \
  | 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: ed4ce37661464fbceac15a916c22b5a530f031afff1c874048330a3c8079b6ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a7f53a683f5ee4e7334f47747311e2a2624a510641d08c0e917518236f9367",
    "cross_cats_sorted": [
      "math.FA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-04T07:07:46Z",
    "title_canon_sha256": "3255cbaa12b0c5256c26c55b7bd21071d28d21caa0130a1eb00b59aeb36fa067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1067",
    "kind": "arxiv",
    "version": 3
  }
}