Pith Number

pith:3CJQ36BI

pith:2013:3CJQ36BIPRMB334NLJGEGTGC72

not attested not anchored not stored refs pending

The singular and the 2:1 anisotropic Dunkl oscillators in the plane

Alexei Zhedanov, Luc Vinet, Vincent X. Genest

arxiv:1305.2126 v2 · 2013-05-09 · 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{3CJQ36BIPRMB334NLJGEGTGC72}

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	2026-05-18T03:17:35.333208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8930df8287c581def8d5a4c434cc2fe810f43f9b36af004686748e475211aa2

Aliases

arxiv: 1305.2126 · arxiv_version: 1305.2126v2 · doi: 10.48550/arxiv.1305.2126 · pith_short_12: 3CJQ36BIPRMB · pith_short_16: 3CJQ36BIPRMB334N · pith_short_8: 3CJQ36BI

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/3CJQ36BIPRMB334NLJGEGTGC72 \
  | 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: d8930df8287c581def8d5a4c434cc2fe810f43f9b36af004686748e475211aa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ad0c4024fdf2e01528b04bab2dc03d5564b3954cc8a9dcdff0feaaec69dbbf",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-09T15:39:15Z",
    "title_canon_sha256": "4ed0b565dc6a8a36226bd3d723214cd07a39bc7d028214870e28528f61214be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2126",
    "kind": "arxiv",
    "version": 2
  }
}