Pith Number

pith:JJ6TRLJK

pith:2012:JJ6TRLJK7H3H36MTGJ4FBGPLQZ

not attested not anchored not stored refs pending

Free Infinite Divisibility for Ultrasphericals

Octavio Arizmendi, Serban T. Belinschi

arxiv:1207.7258 v1 · 2012-07-31 · math.PR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJ6TRLJK7H3H36MTGJ4FBGPLQZ}

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	2026-05-18T03:49:46.374075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a7d38ad2af9f67df99332785099eb867db3d821e501ff74549901c6e48a37b6

Aliases

arxiv: 1207.7258 · arxiv_version: 1207.7258v1 · doi: 10.48550/arxiv.1207.7258 · pith_short_12: JJ6TRLJK7H3H · pith_short_16: JJ6TRLJK7H3H36MT · pith_short_8: JJ6TRLJK

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/JJ6TRLJK7H3H36MTGJ4FBGPLQZ \
  | 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: 4a7d38ad2af9f67df99332785099eb867db3d821e501ff74549901c6e48a37b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc7e6e324f345d5bbab3a3788b72d2f3699ac7808f6d218289dbcce49014fc3",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-31T14:26:49Z",
    "title_canon_sha256": "047608341e1da831db71202bb6a224f29219a436d2bbf7090a81e4b604bbefd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7258",
    "kind": "arxiv",
    "version": 1
  }
}