Pith Number

pith:MG2T37TS

pith:2010:MG2T37TSDQY3CFOGZYOPSUWECO

not attested not anchored not stored refs pending

Matrix-Variate Statistical Distributions and Fractional Calculus

A.M. Mathai, H.J. Haubold

arxiv:1011.5654 v1 · 2010-11-25 · cond-mat.stat-mech · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MG2T37TSDQY3CFOGZYOPSUWECO}

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	2026-05-18T04:27:47.381834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b53dfe721c31b115c6ce1cf952c413b1d277cd097fc1c27c1c6b86dee4b680

Aliases

arxiv: 1011.5654 · arxiv_version: 1011.5654v1 · doi: 10.48550/arxiv.1011.5654 · pith_short_12: MG2T37TSDQY3 · pith_short_16: MG2T37TSDQY3CFOG · pith_short_8: MG2T37TS

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/MG2T37TSDQY3CFOGZYOPSUWECO \
  | 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: 61b53dfe721c31b115c6ce1cf952c413b1d277cd097fc1c27c1c6b86dee4b680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f253f88cc14da0cb79c5e157861f690591f040a325a7ee56f98d5df199ef13",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-11-25T17:27:22Z",
    "title_canon_sha256": "dfedbb71aac542df7835be0111c6fadbc17def63acf8082bbb8316248bc8e732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5654",
    "kind": "arxiv",
    "version": 1
  }
}