Pith Number

pith:ZMGZXPN3

pith:2014:ZMGZXPN3PEH76A3HHECNTNOZIT

not attested not anchored not stored refs pending

Factorization Property of Generalized s-self-decomposable measures and class $L^f$ distributions

A. Czyzewska-Jankowska, Zbigniew J. Jurek

arxiv:1403.0089 v1 · 2014-03-01 · 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{ZMGZXPN3PEH76A3HHECNTNOZIT}

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	2026-05-18T02:57:25.784881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0d9bbdbb790fff03673904d9b5d944ffbf2aef01ce4102b9aaa66ffaae84aa

Aliases

arxiv: 1403.0089 · arxiv_version: 1403.0089v1 · doi: 10.48550/arxiv.1403.0089 · pith_short_12: ZMGZXPN3PEH7 · pith_short_16: ZMGZXPN3PEH76A3H · pith_short_8: ZMGZXPN3

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/ZMGZXPN3PEH76A3HHECNTNOZIT \
  | 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: cb0d9bbdbb790fff03673904d9b5d944ffbf2aef01ce4102b9aaa66ffaae84aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4fe5b5dfae104e5b799446efc9b415951fff05e6409d202cd99b6dd5592784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-01T14:41:52Z",
    "title_canon_sha256": "067c272b9334ba51d51031f0b324a8f5acf47201fe74aba44b6d48a786c24922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0089",
    "kind": "arxiv",
    "version": 1
  }
}