Pith Number

pith:OY22LLWB

pith:2014:OY22LLWBL7N54HATLXEGCFSQVY

not attested not anchored not stored refs pending

Some transformation formulas associated with Askey-Wilson polynomials and Lassalle's formulas for Macdonald-Koornwinder polynomials

A. Hoshino, J. Shiraishi, M. Noumi

arxiv:1406.1628 v1 · 2014-06-06 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OY22LLWBL7N54HATLXEGCFSQVY}

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	2026-05-18T02:50:22.004483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7635a5aec15fdbde1c135dc8611650ae012542b9b16a1fedd527f294988bf183

Aliases

arxiv: 1406.1628 · arxiv_version: 1406.1628v1 · doi: 10.48550/arxiv.1406.1628 · pith_short_12: OY22LLWBL7N5 · pith_short_16: OY22LLWBL7N54HAT · pith_short_8: OY22LLWB

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/OY22LLWBL7N54HATLXEGCFSQVY \
  | 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: 7635a5aec15fdbde1c135dc8611650ae012542b9b16a1fedd527f294988bf183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd8110ad452caa574d233f6d31cd1f8eb7ef1995e323d9a52c381ca14c82dc70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-06T10:15:05Z",
    "title_canon_sha256": "ab631933eb7772c1d56bb11d9b3600abe24706c3556c1d23b37de30792577aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1628",
    "kind": "arxiv",
    "version": 1
  }
}