Pith Number

pith:ZQSV5UXD

pith:2026:ZQSV5UXDOICCFD5BY5XEK7LOY2

not attested not anchored not stored refs pending

A description of the Laguerre-Hahn orthogonal polynomials of class zero revisited with two new families analogous to Bessel and new results for structure relations and differential equations

Mohamed Khalfallah, Pascal Maroni, Z\'elia da Rocha

arxiv:2605.26281 v1 · 2026-05-25 · 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{ZQSV5UXDOICCFD5BY5XEK7LOY2}

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	2026-05-27T01:05:09.880834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc255ed2e37204228fa1c76e457d6ec6842a6922129818622cde76322fee284d

Aliases

arxiv: 2605.26281 · arxiv_version: 2605.26281v1 · doi: 10.48550/arxiv.2605.26281 · pith_short_12: ZQSV5UXDOICC · pith_short_16: ZQSV5UXDOICCFD5B · pith_short_8: ZQSV5UXD

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/ZQSV5UXDOICCFD5BY5XEK7LOY2 \
  | 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: cc255ed2e37204228fa1c76e457d6ec6842a6922129818622cde76322fee284d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3804b2360dc744fcace1b9e913b873b0721de0924147c211d1ac888718ae11a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-25T19:06:36Z",
    "title_canon_sha256": "097914a3c8ad1c94f348a6b7239b66b03b1275939fcfc7abdda94d483a7a6fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26281",
    "kind": "arxiv",
    "version": 1
  }
}