Pith Number

pith:WUAUNXU4

pith:2013:WUAUNXU44QKNDWZBDRRDXGMG7F

not attested not anchored not stored refs pending

Asymptotic behaviour of the Urbanik semigroup

Christian Berg, Jos\'e Luis L\'opez

arxiv:1310.0252 v1 · 2013-10-01 · math.CV · 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{WUAUNXU44QKNDWZBDRRDXGMG7F}

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	2026-05-18T00:52:02.437022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50146de9ce414d1db211c623b9986f94ed4b48e9f36a04d1a7d8feb058cd519

Aliases

arxiv: 1310.0252 · arxiv_version: 1310.0252v1 · doi: 10.48550/arxiv.1310.0252 · pith_short_12: WUAUNXU44QKN · pith_short_16: WUAUNXU44QKNDWZB · pith_short_8: WUAUNXU4

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/WUAUNXU44QKNDWZBDRRDXGMG7F \
  | 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: b50146de9ce414d1db211c623b9986f94ed4b48e9f36a04d1a7d8feb058cd519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc6d2a9b61c90f43a87d4af781950e7d7f6c8c2972689593903840a9f1419c7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-10-01T11:40:19Z",
    "title_canon_sha256": "22a6a3d70319ca726558d232f0611c8fac315cf6c9f2c085c99f029c83ea94e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0252",
    "kind": "arxiv",
    "version": 1
  }
}