Pith Number

pith:5TWHL5PC

pith:2008:5TWHL5PCX3Z3TSJ4EDFPPZCKHI

not attested not anchored not stored refs pending

Factorization property of generalized s-selfdecomposable measures and class $L^f$ distributions$^1$

Agnieszka Czyzewska-Jankowska, Zbigniew J. Jurek

arxiv:0812.2129 v2 · 2008-12-11 · 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{5TWHL5PCX3Z3TSJ4EDFPPZCKHI}

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	2026-05-18T02:56:44.672651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecec75f5e2bef3b9c93c20caf7e44a3a0ed93083cbc86bcdf7ce9437c7cb93ce

Aliases

arxiv: 0812.2129 · arxiv_version: 0812.2129v2 · doi: 10.48550/arxiv.0812.2129 · pith_short_12: 5TWHL5PCX3Z3 · pith_short_16: 5TWHL5PCX3Z3TSJ4 · pith_short_8: 5TWHL5PC

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/5TWHL5PCX3Z3TSJ4EDFPPZCKHI \
  | 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: ecec75f5e2bef3b9c93c20caf7e44a3a0ed93083cbc86bcdf7ce9437c7cb93ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de5c83f5cae9b303b66fb8fd07a714689de3ee9333557b203dd719000e83622",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-11T12:23:58Z",
    "title_canon_sha256": "b7b495079fc4b7d4b3f0e9180d7d65d00ee6bec0f53ae78a67cfe4bbeeb544e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2129",
    "kind": "arxiv",
    "version": 2
  }
}