Pith Number

pith:GGR3Z57U

pith:2026:GGR3Z57UXIUMDRF7YUMWSZ5AH4

not attested not anchored not stored refs pending

On a general method for deriving a fourth-order differential equation satisfied by Laguerre-Hahn orthogonal polynomials with new results for the class 0 analogous to Hermite

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

arxiv:2605.23720 v1 · 2026-05-22 · 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{GGR3Z57UXIUMDRF7YUMWSZ5AH4}

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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	2026-05-25T02:02:28.384616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a3bcf7f4ba28c1c4bfc5196967a03f31a974cf4dd619eb6a7a449097ba4d56

Aliases

arxiv: 2605.23720 · arxiv_version: 2605.23720v1 · doi: 10.48550/arxiv.2605.23720 · pith_short_12: GGR3Z57UXIUM · pith_short_16: GGR3Z57UXIUMDRF7 · pith_short_8: GGR3Z57U

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/GGR3Z57UXIUMDRF7YUMWSZ5AH4 \
  | 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: 31a3bcf7f4ba28c1c4bfc5196967a03f31a974cf4dd619eb6a7a449097ba4d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14dcfd242b0b3366c13bc5b54e00fd037bd59ba1831989ad1924e94f73a1ec54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-22T15:02:15Z",
    "title_canon_sha256": "0290eb959f9981c3f1dd5705b8b93c3536e358ebfeca26673526067010601799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23720",
    "kind": "arxiv",
    "version": 1
  }
}