pith. sign in
Pith Number

pith:JIV7VOOR

pith:2013:JIV7VOORVBLBJCLF3ZWVKUSVTX
not attested not anchored not stored refs pending

The Hahn superalgebra and supersymmetric Dunkl oscillator models

Alexei Zhedanov, Jean-Michel Lemay, Luc Vinet, Vincent X. Genest

arxiv:1309.1701 v2 · 2013-09-06 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JIV7VOORVBLBJCLF3ZWVKUSVTX}

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 2026-05-18T01:47:48.962534Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4a2bfab9d1a856148965de6d5552559dd7bdf733ec19a95ecdbf9716796ec5ef

Aliases

arxiv: 1309.1701 · arxiv_version: 1309.1701v2 · doi: 10.48550/arxiv.1309.1701 · pith_short_12: JIV7VOORVBLB · pith_short_16: JIV7VOORVBLBJCLF · pith_short_8: JIV7VOOR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JIV7VOORVBLBJCLF3ZWVKUSVTX \
  | 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: 4a2bfab9d1a856148965de6d5552559dd7bdf733ec19a95ecdbf9716796ec5ef
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cb39d78bc5bb57501e2ac3ef43471cde7eb6d2b1d2a9b40951a7086f0f719bfd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-06T17:23:17Z",
    "title_canon_sha256": "968c3c78a04d68158a6b5730b20869a625d0cd24fbfa2ecedc52f15d72286d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1701",
    "kind": "arxiv",
    "version": 2
  }
}