Pith Number

pith:LXZHPYHO

pith:2022:LXZHPYHOO3IM654BLXCY2Z7JLZ

not attested not anchored not stored refs pending

Zeta distributions generated by Dirichlet series and their (quasi) infinite divisibility

Takashi Nakamura

arxiv:2209.13257 v1 · 2022-09-27 · math.NT · 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{LXZHPYHOO3IM654BLXCY2Z7JLZ}

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	2026-07-05T05:01:08.517487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df277e0ee76d0cf77815dc58d67e95e6fda6883ce25e4dfa944fb3000ef4f3e

Aliases

arxiv: 2209.13257 · arxiv_version: 2209.13257v1 · doi: 10.48550/arxiv.2209.13257 · pith_short_12: LXZHPYHOO3IM · pith_short_16: LXZHPYHOO3IM654B · pith_short_8: LXZHPYHO

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/LXZHPYHOO3IM654BLXCY2Z7JLZ \
  | 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: 5df277e0ee76d0cf77815dc58d67e95e6fda6883ce25e4dfa944fb3000ef4f3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "165ef36cf4c00f37596d39a0d519221810e2ea98d621ce03c0040d77c8f6d029",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-09-27T08:54:37Z",
    "title_canon_sha256": "182435621fb528fce7dbebd9c964b24c846d9c708106ce287093799cadfa078d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13257",
    "kind": "arxiv",
    "version": 1
  }
}