Pith Number

pith:XUK2SATH

pith:2009:XUK2SATHI6TGDS45PGL7G7EX5T

not attested not anchored not stored refs pending

Mittag-Leffler Functions to Pathway Model to Tsallis Statistics

A.M. Mathai, H.J. Haubold

arxiv:0908.3816 v2 · 2009-08-26 · 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{XUK2SATHI6TGDS45PGL7G7EX5T}

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	2026-05-18T04:27:47.854442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd15a9026747a661cb9d7997f37c97ecdd2947817e541b161138f503be742e75

Aliases

arxiv: 0908.3816 · arxiv_version: 0908.3816v2 · doi: 10.48550/arxiv.0908.3816 · pith_short_12: XUK2SATHI6TG · pith_short_16: XUK2SATHI6TGDS45 · pith_short_8: XUK2SATH

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/XUK2SATHI6TGDS45PGL7G7EX5T \
  | 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: bd15a9026747a661cb9d7997f37c97ecdd2947817e541b161138f503be742e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740ae8ffe727d45441874220bcf07a4743141b9f8f214802cc8a23f92ca01fc3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-08-26T13:21:40Z",
    "title_canon_sha256": "80affc69293579e89d61979b1e34963c198e94acfd91368395d3995c33960d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3816",
    "kind": "arxiv",
    "version": 2
  }
}