Pith Number

pith:JJZD5FUZ

pith:2025:JJZD5FUZCOYCM3ZBEMXMXW3QF6

not attested not anchored not stored refs pending

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts

Alexey Khartov

arxiv:2509.07244 v1 · 2025-09-08 · 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{JJZD5FUZCOYCM3ZBEMXMXW3QF6}

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	2026-07-05T12:07:18.333125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a723e969913b0266f21232ecbdb702f8a128a9d0a38bc2910630d9554fe927d

Aliases

arxiv: 2509.07244 · arxiv_version: 2509.07244v1 · doi: 10.48550/arxiv.2509.07244 · pith_short_12: JJZD5FUZCOYC · pith_short_16: JJZD5FUZCOYCM3ZB · pith_short_8: JJZD5FUZ

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/JJZD5FUZCOYCM3ZBEMXMXW3QF6 \
  | 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: 4a723e969913b0266f21232ecbdb702f8a128a9d0a38bc2910630d9554fe927d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b31c708caf3e9d57cbee58915fbabd9e6dca8cb4e549cf917fcf13af106b4912",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-08T21:43:09Z",
    "title_canon_sha256": "b25fb26ebe0a9d088819d6d50446d1b7f1868c4409cf306ff0a1c162f1c76327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07244",
    "kind": "arxiv",
    "version": 1
  }
}