Pith Number

pith:Q555XSPS

pith:2009:Q555XSPSWM4GGFOXNR5GHIMTWB

not attested not anchored not stored refs pending

Mittag-Leffler Functions and Their Applications

A.M. Mathai, H.J. Haubold, R.K. Saxena

arxiv:0909.0230 v2 · 2009-09-01 · math.CA · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q555XSPSWM4GGFOXNR5GHIMTWB}

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	2026-05-18T04:14:15.226216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877bdbc9f2b3386315d76c7a63a193b052947f3da992b36ec779104c8d2ed0d9

Aliases

arxiv: 0909.0230 · arxiv_version: 0909.0230v2 · doi: 10.48550/arxiv.0909.0230 · pith_short_12: Q555XSPSWM4G · pith_short_16: Q555XSPSWM4GGFOX · pith_short_8: Q555XSPS

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/Q555XSPSWM4GGFOXNR5GHIMTWB \
  | 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: 877bdbc9f2b3386315d76c7a63a193b052947f3da992b36ec779104c8d2ed0d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c359d671a5423302ab3f0881eaaf3165a604177b9cb7df9e0f650fc8d6029bcb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-09-01T18:08:41Z",
    "title_canon_sha256": "895dae6953a81fb80a391d321a5ccf7650d0eaf409fe028fe84587bb564b7356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0230",
    "kind": "arxiv",
    "version": 2
  }
}