Pith Number

pith:E2LQC3B3

pith:2015:E2LQC3B3JCV6BZ2J7BFQH4AT4M

not attested not anchored not stored refs pending

Numerical evaluation of two and three parameter Mittag-Leffler functions

Roberto Garrappa

arxiv:1503.06569 v2 · 2015-03-23 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2LQC3B3JCV6BZ2J7BFQH4AT4M}

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	2026-05-18T01:25:15.850218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2697016c3b48abe0e749f84b03f013e33f0ec13d55edbd4bc1c16674ad3356a2

Aliases

arxiv: 1503.06569 · arxiv_version: 1503.06569v2 · doi: 10.48550/arxiv.1503.06569 · pith_short_12: E2LQC3B3JCV6 · pith_short_16: E2LQC3B3JCV6BZ2J · pith_short_8: E2LQC3B3

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/E2LQC3B3JCV6BZ2J7BFQH4AT4M \
  | 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: 2697016c3b48abe0e749f84b03f013e33f0ec13d55edbd4bc1c16674ad3356a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda7276785f1bd82e17fcc3d785317a49618171fc250f15409bb2b67ac541df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-03-23T09:22:59Z",
    "title_canon_sha256": "af3a4913ae67d6b97ba0068840d922b1559383fe8f08295b2380a894ba982e78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06569",
    "kind": "arxiv",
    "version": 2
  }
}