Pith Number

pith:STELRQOX

pith:2014:STELRQOXCJH776XMGDXT66ZDT4

not attested not anchored not stored refs pending

A New Class of Exceptional Orthogonal Polynomials: The Type III $X_{m}$-Laguerre Polynomials And The Spectral Analysis of Three Types of Exceptional Laguerre Polynomials

Constanze Liaw, Jessica Stewart, Lance L. Littlejohn, Robert Milson

arxiv:1407.4145 v1 · 2014-07-15 · math.SP · math-ph · math.CA · 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{STELRQOXCJH776XMGDXT66ZDT4}

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	2026-05-18T01:18:28.277957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94c8b8c1d7124ffffaec30ef3f7b239f185a00e75f995a2adb15cfbcadc31c68

Aliases

arxiv: 1407.4145 · arxiv_version: 1407.4145v1 · doi: 10.48550/arxiv.1407.4145 · pith_short_12: STELRQOXCJH7 · pith_short_16: STELRQOXCJH776XM · pith_short_8: STELRQOX

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/STELRQOXCJH776XMGDXT66ZDT4 \
  | 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: 94c8b8c1d7124ffffaec30ef3f7b239f185a00e75f995a2adb15cfbcadc31c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d5a0a90ea9332474e6bee3b24cc4cba817704af59d93b88640131c82ff36e97",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-07-15T20:50:48Z",
    "title_canon_sha256": "5154d737bef916cf4376278ab138216529bf23b4984c179ecff93fa15ca62cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4145",
    "kind": "arxiv",
    "version": 1
  }
}