Pith Number

pith:OCLKB4VO

pith:2010:OCLKB4VOCK6EW3GUL2F5INEL5M

not attested not anchored not stored refs pending

The free Meixner class for pairs of measures

Michael Anshelevich, Wojciech M{\l}otkowski

arxiv:1003.4025 v2 · 2010-03-21 · math.OA · math.CO · 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{OCLKB4VOCK6EW3GUL2F5INEL5M}

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	2026-05-18T04:17:03.405780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7096a0f2ae12bc4b6cd45e8bd4348beb042015af40eef85eb13a07a19e5d0548

Aliases

arxiv: 1003.4025 · arxiv_version: 1003.4025v2 · doi: 10.48550/arxiv.1003.4025 · pith_short_12: OCLKB4VOCK6E · pith_short_16: OCLKB4VOCK6EW3GU · pith_short_8: OCLKB4VO

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/OCLKB4VOCK6EW3GUL2F5INEL5M \
  | 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: 7096a0f2ae12bc4b6cd45e8bd4348beb042015af40eef85eb13a07a19e5d0548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdac49fcc8c7be6a5d5b6e3db484fd91e6ef9424db1ffba78512f55f8aab911",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-03-21T20:44:38Z",
    "title_canon_sha256": "3dff313c246152083ec127e896428606343693583ebd8bba84abeacf30cb6637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4025",
    "kind": "arxiv",
    "version": 2
  }
}