Pith Number

pith:QOAXDONI

pith:2013:QOAXDONI57JI5HVO3L65IOQOGM

not attested not anchored not stored refs pending

On Harnack inequality and H\"{o}lder regularity for isotropic unimodal L\'{e}vy processes

Tomasz Grzywny

arxiv:1301.2441 v2 · 2013-01-11 · 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{QOAXDONI57JI5HVO3L65IOQOGM}

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	2026-05-18T02:29:02.790468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838171b9a8efd28e9eaedafdd43a0e3320e3047a22091204be844736e25b61e2

Aliases

arxiv: 1301.2441 · arxiv_version: 1301.2441v2 · doi: 10.48550/arxiv.1301.2441 · pith_short_12: QOAXDONI57JI · pith_short_16: QOAXDONI57JI5HVO · pith_short_8: QOAXDONI

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/QOAXDONI57JI5HVO3L65IOQOGM \
  | 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: 838171b9a8efd28e9eaedafdd43a0e3320e3047a22091204be844736e25b61e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05847e03724afa73f6a89f5c5c6a40c31b265bf0e893e67e9bb02169159d4cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-11T10:23:44Z",
    "title_canon_sha256": "134ac6c91613024347e9299bf3416b2d198bc35cd1604e6e0f7553bf4c5196c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2441",
    "kind": "arxiv",
    "version": 2
  }
}