Pith Number

pith:CTKIZZGX

pith:2015:CTKIZZGX4MR4L2L4JF4DWHPDME

not attested not anchored not stored refs pending

On closedness under convolution roots related to an infinitely divisible distribution in the distribution class L(\gamma)

Changjun Yu, Dongya Cheng, Hui Xu, Yuebao Wang

arxiv:1512.01792 v3 · 2015-12-06 · 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{CTKIZZGX4MR4L2L4JF4DWHPDME}

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	2026-05-18T01:03:50.804770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d48ce4d7e323c5e97c49783b1de3612773372c84ce80c4083f40ec30c509d1

Aliases

arxiv: 1512.01792 · arxiv_version: 1512.01792v3 · doi: 10.48550/arxiv.1512.01792 · pith_short_12: CTKIZZGX4MR4 · pith_short_16: CTKIZZGX4MR4L2L4 · pith_short_8: CTKIZZGX

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/CTKIZZGX4MR4L2L4JF4DWHPDME \
  | 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: 14d48ce4d7e323c5e97c49783b1de3612773372c84ce80c4083f40ec30c509d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e680d37306281be02eee7f08fcbfbc6ee932a6aa4a6992dd902655ea11fa01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-06T14:11:22Z",
    "title_canon_sha256": "84a53aaadfcab36ffa306fb02450afa111f12a950cd97ecea7a595430cbf172d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01792",
    "kind": "arxiv",
    "version": 3
  }
}