Pith Number

pith:DIIPCLZY

pith:2014:DIIPCLZYK4I764PCA2IZCBP7SZ

not attested not anchored not stored refs pending

Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions

Adam Nowak, Krzysztof Stempak

arxiv:1402.2522 v1 · 2014-02-11 · 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{DIIPCLZYK4I764PCA2IZCBP7SZ}

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	2026-05-18T01:11:33.827487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a10f12f385711ff71e206919105ff967871e40a3ebd9ae5bee4924e7839cab6

Aliases

arxiv: 1402.2522 · arxiv_version: 1402.2522v1 · doi: 10.48550/arxiv.1402.2522 · pith_short_12: DIIPCLZYK4I7 · pith_short_16: DIIPCLZYK4I764PC · pith_short_8: DIIPCLZY

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/DIIPCLZYK4I764PCA2IZCBP7SZ \
  | 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: 1a10f12f385711ff71e206919105ff967871e40a3ebd9ae5bee4924e7839cab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1eeefac3f44fa383f9799020e6904b0cf888553129e2e496163b8b12b1bc0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-02-11T15:23:12Z",
    "title_canon_sha256": "120d435a30362e193e6ea76758c62223af5e09533f8fa69a1df4c1adab9ae871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2522",
    "kind": "arxiv",
    "version": 1
  }
}