Pith Number

pith:VU3BAGHU

pith:2015:VU3BAGHUNI4EBTYZ7BWUKKPF4M

not attested not anchored not stored refs pending

Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra

Alexei Zhedanov, Luc Vinet, Mourad E. H. Ismail, Vincent X. Genest

arxiv:1506.07803 v2 · 2015-06-25 · 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{VU3BAGHUNI4EBTYZ7BWUKKPF4M}

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	2026-05-18T00:48:33.182187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad361018f46a3840cf19f86d4529e5e3392ea7167e1772deb777f00239d60838

Aliases

arxiv: 1506.07803 · arxiv_version: 1506.07803v2 · doi: 10.48550/arxiv.1506.07803 · pith_short_12: VU3BAGHUNI4E · pith_short_16: VU3BAGHUNI4EBTYZ · pith_short_8: VU3BAGHU

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/VU3BAGHUNI4EBTYZ7BWUKKPF4M \
  | 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: ad361018f46a3840cf19f86d4529e5e3392ea7167e1772deb777f00239d60838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d293e635f2a3b0e6b5535b7c4697928dac61939de701930fdfe363cf57e36e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-25T15:59:52Z",
    "title_canon_sha256": "629293cd6062877bc4e13b2da66dec940bd2fcdff1d8a0049d89e8118dab2360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07803",
    "kind": "arxiv",
    "version": 2
  }
}