Pith Number

pith:MFZ35AKI

pith:2009:MFZ35AKI23C2VKLKMIBXI7BUTS

not attested not anchored not stored refs pending

On q-Gaussians and Exchangeability

Marjorie G. Hahn, Sabir Umarov, Xinxin Jiang

arxiv:0911.1176 v1 · 2009-11-06 · 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{MFZ35AKI23C2VKLKMIBXI7BUTS}

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	2026-05-18T02:10:59.043973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6173be8148d6c5aaa96a6203747c349cb890f3b44ff8d2022d2837597a6fa91b

Aliases

arxiv: 0911.1176 · arxiv_version: 0911.1176v1 · doi: 10.48550/arxiv.0911.1176 · pith_short_12: MFZ35AKI23C2 · pith_short_16: MFZ35AKI23C2VKLK · pith_short_8: MFZ35AKI

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/MFZ35AKI23C2VKLKMIBXI7BUTS \
  | 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: 6173be8148d6c5aaa96a6203747c349cb890f3b44ff8d2022d2837597a6fa91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0c42d69e7d2a6336fd3efe35f1c1e9c07b5506f65da81dd9f635422ab8ea9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-06T04:56:11Z",
    "title_canon_sha256": "f508cfab608fe0dcf6839e811d4ff2a676ea2ef26d3bfab7a5be92f7b1690c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1176",
    "kind": "arxiv",
    "version": 1
  }
}