Pith Number

pith:VFO73NBD

pith:2012:VFO73NBDKIH5NRWHKPAYJ73U6S

not attested not anchored not stored refs pending

The Bannai-Ito polynomials as Racah coefficients of the sl_{-1}(2) algebra

Alexei Zhedanov, Luc Vinet, Vincent X. Genest

arxiv:1205.4215 v4 · 2012-05-18 · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFO73NBDKIH5NRWHKPAYJ73U6S}

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	2026-05-18T02:51:57.280952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95dfdb423520fd6c6c753c184ff74f487168bedb75414c0567d46fd8b68bed7

Aliases

arxiv: 1205.4215 · arxiv_version: 1205.4215v4 · doi: 10.48550/arxiv.1205.4215 · pith_short_12: VFO73NBDKIH5 · pith_short_16: VFO73NBDKIH5NRWH · pith_short_8: VFO73NBD

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/VFO73NBDKIH5NRWHKPAYJ73U6S \
  | 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: a95dfdb423520fd6c6c753c184ff74f487168bedb75414c0567d46fd8b68bed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2401dfdede3e1969f6c511abbd91b1528a71639f3727fc1b693fc5d2c79e4af5",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-18T18:48:19Z",
    "title_canon_sha256": "749e39503939e9d2d0a46326f65427057aaf633e146cffb71283ee0aec5025aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4215",
    "kind": "arxiv",
    "version": 4
  }
}