Pith Number

pith:FDIY2RQQ

pith:2012:FDIY2RQQRC73CBFER62ILSH5HW

not attested not anchored not stored refs pending

The Dunkl oscillator in the plane I : superintegrability, separated wavefunctions and overlap coefficients

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

arxiv:1212.4459 v2 · 2012-12-18 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDIY2RQQRC73CBFER62ILSH5HW}

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	2026-05-18T01:52:30.842682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28d18d461088bfb104a48fb485c8fd3d8d49a32cae48a9ed70529e392b86b5d4

Aliases

arxiv: 1212.4459 · arxiv_version: 1212.4459v2 · doi: 10.48550/arxiv.1212.4459 · pith_short_12: FDIY2RQQRC73 · pith_short_16: FDIY2RQQRC73CBFE · pith_short_8: FDIY2RQQ

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/FDIY2RQQRC73CBFER62ILSH5HW \
  | 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: 28d18d461088bfb104a48fb485c8fd3d8d49a32cae48a9ed70529e392b86b5d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0809f9b6f1da030ebcb2e8c698bc01d0cdaef723aa7f909adca683553804958",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-18T19:09:31Z",
    "title_canon_sha256": "50815a0d28d5e9b93e885d7d9773f26c439f87adcd711c7ad03fa46cba6355c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4459",
    "kind": "arxiv",
    "version": 2
  }
}