Pith Number

pith:XFNRRMEZ

pith:2009:XFNRRMEZUCTTOSKIFVTYWPZDMW

not attested not anchored not stored refs pending

Multidimensional q-Normal and related distributions - Markov case

Pawe{\l} J. Szab{\l}owski

arxiv:0911.0109 v3 · 2009-10-31 · 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{XFNRRMEZUCTTOSKIFVTYWPZDMW}

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	2026-05-18T03:49:09.431636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95b18b099a0a73749482d678b3f2365ab2459cc2e23e0c1eb6326deb73e1504

Aliases

arxiv: 0911.0109 · arxiv_version: 0911.0109v3 · doi: 10.48550/arxiv.0911.0109 · pith_short_12: XFNRRMEZUCTT · pith_short_16: XFNRRMEZUCTTOSKI · pith_short_8: XFNRRMEZ

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/XFNRRMEZUCTTOSKIFVTYWPZDMW \
  | 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: b95b18b099a0a73749482d678b3f2365ab2459cc2e23e0c1eb6326deb73e1504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f13552ec3fb9bfefc5216cbb6db609a6fbf47bf8f53227a9eb3ce088d2422f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-31T21:02:29Z",
    "title_canon_sha256": "43f17ba212fbda2d814075905b61c6ada0aeba07f30cda7c6aca0d8c6107457b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0109",
    "kind": "arxiv",
    "version": 3
  }
}