Pith Number

pith:HZMPA3RA

pith:2002:HZMPA3RAP4TXKFH6XR6NGGEY33

not attested not anchored not stored refs pending

Asymptotic zero behavior of Laguerre polynomials with negative parameter

A.B.J. Kuijlaars, K.T-R McLaughlin

arxiv:math/0205175 v1 · 2002-05-15 · math.CA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZMPA3RAP4TXKFH6XR6NGGEY33}

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	2026-07-04T17:32:26.273067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e58f06e207f277514febc7cd31898deeb84d56e6220a239ace77cea56b2c922

Aliases

arxiv: math/0205175 · arxiv_version: math/0205175v1 · doi: 10.48550/arxiv.math/0205175 · pith_short_12: HZMPA3RAP4TX · pith_short_16: HZMPA3RAP4TXKFH6 · pith_short_8: HZMPA3RA

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/HZMPA3RAP4TXKFH6XR6NGGEY33 \
  | 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: 3e58f06e207f277514febc7cd31898deeb84d56e6220a239ace77cea56b2c922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b20de6c77e285e0fe86febcfe84f61721daa8d0d853dbab43559a2d31db98feb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2002-05-15T18:08:02Z",
    "title_canon_sha256": "f16a61601a89cf8bb33c5f34cdc7430cca7cd44cd1510ab29d9cb3d9b5a80339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205175",
    "kind": "arxiv",
    "version": 1
  }
}