Pith Number

pith:5KWQSWFA

pith:1997:5KWQSWFAQZIXDVK2YZIIADZ5TT

not attested not anchored not stored refs pending

On the zeros of the Hahn-Exton q-Bessel function and associated q-Lommel polynomials

Erik Koelink, Ren\'e F. Swarttouw

arxiv:math/9703215 v1 · 1997-03-03 · 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{5KWQSWFAQZIXDVK2YZIIADZ5TT}

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	2026-05-18T01:05:37.037816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaad0958a0865171d55ac650800f3d9cd8bd1d4a8d865eeb02ee55af73034fce

Aliases

arxiv: math/9703215 · arxiv_version: math/9703215v1 · doi: 10.48550/arxiv.math/9703215 · pith_short_12: 5KWQSWFAQZIX · pith_short_16: 5KWQSWFAQZIXDVK2 · pith_short_8: 5KWQSWFA

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/5KWQSWFAQZIXDVK2YZIIADZ5TT \
  | 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: eaad0958a0865171d55ac650800f3d9cd8bd1d4a8d865eeb02ee55af73034fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8a6359ddaddd91ed9245572a9b84a862925bd20d0bc9b8f91112f8e1ea73c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1997-03-03T00:00:00Z",
    "title_canon_sha256": "27eaf77d363254449d00f9a62e3e4985711328a6036c9c9964f8218115736aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9703215",
    "kind": "arxiv",
    "version": 1
  }
}