Pith Number

pith:DVZHIH3B

pith:2012:DVZHIH3BU623DMAZ5FR7FHPCBA

not attested not anchored not stored refs pending

Sobolev index: A classification of L\'evy processes

Kathrin Glau

arxiv:1203.0866 v3 · 2012-03-05 · 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{DVZHIH3BU623DMAZ5FR7FHPCBA}

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	2026-05-18T03:58:37.970119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d72741f61a7b5b1b019e963f29de20812d10ba3c39ed0067efe57838bd43c35

Aliases

arxiv: 1203.0866 · arxiv_version: 1203.0866v3 · doi: 10.48550/arxiv.1203.0866 · pith_short_12: DVZHIH3BU623 · pith_short_16: DVZHIH3BU623DMAZ · pith_short_8: DVZHIH3B

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/DVZHIH3BU623DMAZ5FR7FHPCBA \
  | 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: 1d72741f61a7b5b1b019e963f29de20812d10ba3c39ed0067efe57838bd43c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11a6036b84d6e1556ce9a6a565d30491c3d082e115c27df6a6685fa728f24c09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-05T11:23:29Z",
    "title_canon_sha256": "4cb1426453949b5c8adf81618272b624fd19867422c504b526e82daa3d920876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0866",
    "kind": "arxiv",
    "version": 3
  }
}