Pith Number

pith:JP2XFJFO

pith:2003:JP2XFJFOCN6DKKACJXDSLLE6V2

not attested not anchored not stored refs pending

Leonard pairs and the Askey-Wilson relations

Paul Terwilliger, Raimundas Vidunas

arxiv:math/0305356 v1 · 2003-05-26 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JP2XFJFOCN6DKKACJXDSLLE6V2}

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.

Cited by

1 paper in Pith

Circular Hessenberg pairs and the tridiagonal relations

Receipt and verification

First computed	2026-07-04T14:37:20.186740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf572a4ae137c3528024dc725ac9eae8bb06aab47b54c724cf8dd4cb3e35b9c

Aliases

arxiv: math/0305356 · arxiv_version: math/0305356v1 · doi: 10.48550/arxiv.math/0305356 · pith_short_12: JP2XFJFOCN6D · pith_short_16: JP2XFJFOCN6DKKAC · pith_short_8: JP2XFJFO

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/JP2XFJFOCN6DKKACJXDSLLE6V2 \
  | 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: 4bf572a4ae137c3528024dc725ac9eae8bb06aab47b54c724cf8dd4cb3e35b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d622088eae0133931111f10e2d870144f1abaae874f25e9e2f059ea58cd1d0d9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-05-26T00:30:08Z",
    "title_canon_sha256": "92f77b3dab98545e6033d1bcdac348e17e0bd90a7bac2bdfb112f4af34199eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305356",
    "kind": "arxiv",
    "version": 1
  }
}