Pith Number

pith:F44PPRA3

pith:2012:F44PPRA3GIP4R75NUEKMGWPUEF

not attested not anchored not stored refs pending

Bispectrality of the Complementary Bannai-Ito Polynomials

Alexei Zhedanov, Luc Vinet, Vincent X. Genest

arxiv:1211.2461 v2 · 2012-11-11 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F44PPRA3GIP4R75NUEKMGWPUEF}

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	2026-05-18T03:32:05.145857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f38f7c41b321fc8ffada114c359f42142921ef80796a92f6a9e298e6a2af731

Aliases

arxiv: 1211.2461 · arxiv_version: 1211.2461v2 · doi: 10.48550/arxiv.1211.2461 · pith_short_12: F44PPRA3GIP4 · pith_short_16: F44PPRA3GIP4R75N · pith_short_8: F44PPRA3

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/F44PPRA3GIP4R75NUEKMGWPUEF \
  | 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: 2f38f7c41b321fc8ffada114c359f42142921ef80796a92f6a9e298e6a2af731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e33509d43b8fe5babe9e2fc4d77f0b0616d5aaa61291f7d00229cf19db00cea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-11T21:07:28Z",
    "title_canon_sha256": "63212f4ebab9bd3a51b3e75ed99f40bbafd7fadbf3144e33840d9508057f5763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2461",
    "kind": "arxiv",
    "version": 2
  }
}