pith. sign in
Pith Number

pith:FBPJPZ2L

pith:2017:FBPJPZ2LUXGND4XBB3KFN2BTWO
not attested not anchored not stored refs pending

Fractional calculus and generalized Mittag-Leffler type functions

Christian Lavault (LIPN)

arxiv:1703.01912 v2 · 2017-03-03 · math.CA · math-ph · math.CV · math.FA · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FBPJPZ2LUXGND4XBB3KFN2BTWO}

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 2026-05-18T00:48:14.286691Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

285e97e74ba5ccd1f2e10ed456e833b3851810f0c3fdcf58978eeead9a7a9903

Aliases

arxiv: 1703.01912 · arxiv_version: 1703.01912v2 · doi: 10.48550/arxiv.1703.01912 · pith_short_12: FBPJPZ2LUXGN · pith_short_16: FBPJPZ2LUXGND4XB · pith_short_8: FBPJPZ2L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FBPJPZ2LUXGND4XBB3KFN2BTWO \
  | 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: 285e97e74ba5ccd1f2e10ed456e833b3851810f0c3fdcf58978eeead9a7a9903
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "17b09f159c4e93efa0e426231134963ba49f7a2598b00cb6a406b6032f13d633",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-03T12:23:58Z",
    "title_canon_sha256": "cd0243ed5ff30e89a058cf59ffd834141dc27120efa71bfcf4f0f8dc80b7c29f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01912",
    "kind": "arxiv",
    "version": 2
  }
}