Pith Number

pith:JE22YOC5

pith:2012:JE22YOC5XLIJX6DZ7I4XY2CFF5

not attested not anchored not stored refs pending

Generating Functions for Laguerre Polynomials: New Identities for Lacunary Series

D. Babusci, G. Dattoli, K. A. Penson, K. Gorska

arxiv:1210.3710 v1 · 2012-10-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE22YOC5XLIJX6DZ7I4XY2CFF5}

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	2026-05-18T03:43:17.312126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4935ac385dbad09bf879fa397c68452f78c7cd5f8a1d04e1c1446bd8a9133e31

Aliases

arxiv: 1210.3710 · arxiv_version: 1210.3710v1 · doi: 10.48550/arxiv.1210.3710 · pith_short_12: JE22YOC5XLIJ · pith_short_16: JE22YOC5XLIJX6DZ · pith_short_8: JE22YOC5

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/JE22YOC5XLIJX6DZ7I4XY2CFF5 \
  | 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: 4935ac385dbad09bf879fa397c68452f78c7cd5f8a1d04e1c1446bd8a9133e31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e039661e2af3e840185aacaecafd21e237c4f2343d40dee3ad24bb25cd750bf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-13T14:45:00Z",
    "title_canon_sha256": "feb6af36764a29db8a7e84b626c709b7073719a60f45c284d1b29b76f5f8f7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3710",
    "kind": "arxiv",
    "version": 1
  }
}