Pith Number

pith:4K6CPIDJ

pith:2011:4K6CPIDJNSRNBPVFMDMWGLP34B

not attested not anchored not stored refs pending

The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlev\'e equation

Galina Filipuk, Lun Zhang, Walter Van Assche

arxiv:1105.5229 v1 · 2011-05-26 · 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{4K6CPIDJNSRNBPVFMDMWGLP34B}

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	2026-05-18T03:11:33.852411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bc27a0696ca2d0bea560d9632dfbe07af62260a27b7b5bd17a63bd80e4f381

Aliases

arxiv: 1105.5229 · arxiv_version: 1105.5229v1 · doi: 10.48550/arxiv.1105.5229 · pith_short_12: 4K6CPIDJNSRN · pith_short_16: 4K6CPIDJNSRNBPVF · pith_short_8: 4K6CPIDJ

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/4K6CPIDJNSRNBPVFMDMWGLP34B \
  | 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: e2bc27a0696ca2d0bea560d9632dfbe07af62260a27b7b5bd17a63bd80e4f381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08be4a621b8524a830ce2f9be76369b45d353962dd9594e64ad98efd587e5669",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-26T08:34:35Z",
    "title_canon_sha256": "7c95bf3a2b69fcceadf1525f6b96d62a2bb18cac6b138d48676650e0cc1f5f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5229",
    "kind": "arxiv",
    "version": 1
  }
}