Pith Number

pith:IEYJLHBL

pith:2013:IEYJLHBLOMWFVQMPO5B4FYJ4XP

not attested not anchored not stored refs pending

A Laplace-Dunkl equation on $S^2$ and the Bannai-Ito algebra

Alexei Zhedanov, Luc Vinet, Vincent X. Genest

arxiv:1312.6604 v1 · 2013-12-20 · math.QA · 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{IEYJLHBLOMWFVQMPO5B4FYJ4XP}

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	2026-05-18T01:10:33.702680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4130959c2b732c5ac18f7743c2e13cbbe921d1e9440bd1c37584f94d9c30bfe1

Aliases

arxiv: 1312.6604 · arxiv_version: 1312.6604v1 · doi: 10.48550/arxiv.1312.6604 · pith_short_12: IEYJLHBLOMWF · pith_short_16: IEYJLHBLOMWFVQMP · pith_short_8: IEYJLHBL

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/IEYJLHBLOMWFVQMPO5B4FYJ4XP \
  | 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: 4130959c2b732c5ac18f7743c2e13cbbe921d1e9440bd1c37584f94d9c30bfe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ec55e1c9fb1657224e6cf3b9119d813d351227287c5f4fea2e8b5fe3cba6fa9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-12-20T16:33:31Z",
    "title_canon_sha256": "48da09ae0ffda698087f85be9e5b3525a54b37cb05931d803e51fcc373dce2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6604",
    "kind": "arxiv",
    "version": 1
  }
}