Pith Number

pith:WQDQ56XM

pith:2013:WQDQ56XMF7XJ4I4M5SSNEVGGVC

not attested not anchored not stored refs pending

The relationship between semi-classical Laguerre polynomials and the fourth Painlev\'e equation

Kerstin Jordaan, Peter A. Clarkson

arxiv:1301.4134 v4 · 2013-01-17 · nlin.SI · 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{WQDQ56XMF7XJ4I4M5SSNEVGGVC}

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	2026-05-18T00:31:22.983130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4070efaec2fee9e238ceca4d254c6a8ace7e25576d41423a4e75c78cc10e508

Aliases

arxiv: 1301.4134 · arxiv_version: 1301.4134v4 · doi: 10.48550/arxiv.1301.4134 · pith_short_12: WQDQ56XMF7XJ · pith_short_16: WQDQ56XMF7XJ4I4M · pith_short_8: WQDQ56XM

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/WQDQ56XMF7XJ4I4M5SSNEVGGVC \
  | 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: b4070efaec2fee9e238ceca4d254c6a8ace7e25576d41423a4e75c78cc10e508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa378634906504b1d9bbae301f0a3dac682203dcc38719845dd99aa990607970",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-01-17T15:49:46Z",
    "title_canon_sha256": "74b43b86f81d1e9b208791349e9f71f667435d1125dd215bc3b07a0b74803876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4134",
    "kind": "arxiv",
    "version": 4
  }
}