Pith Number

pith:ENKDXOX5

pith:2013:ENKDXOX5H74YVAUHP4LTMSMZRH

not attested not anchored not stored refs pending

Limit laws for occupation times of stable processes

David Nualart, Fangjun Xu

arxiv:1305.0241 v1 · 2013-05-01 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENKDXOX5H74YVAUHP4LTMSMZRH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:26:41.551664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23543bbafd3ff98a82877f1736499989ef4d8411704308c398c43b5954d66ab0

Aliases

arxiv: 1305.0241 · arxiv_version: 1305.0241v1 · doi: 10.48550/arxiv.1305.0241 · pith_short_12: ENKDXOX5H74Y · pith_short_16: ENKDXOX5H74YVAUH · pith_short_8: ENKDXOX5

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/ENKDXOX5H74YVAUHP4LTMSMZRH \
  | 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: 23543bbafd3ff98a82877f1736499989ef4d8411704308c398c43b5954d66ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d93e47d52597802a54cb6bd85066db429eca66dd4ad55d6ed9042426d61c951",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-01T18:36:41Z",
    "title_canon_sha256": "c385223b495dc3e52344cf65eaffdc04dcf99d5872475c364444fd0234992ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0241",
    "kind": "arxiv",
    "version": 1
  }
}