Pith Number

pith:MKH3TDXQ

pith:2013:MKH3TDXQNWPJ437BFRH56JF7JM

not attested not anchored not stored refs pending

The Dunkl oscillator in three dimensions

Alexei Zhedanov, Luc Vinet, Vincent X. Genest

arxiv:1312.3877 v2 · 2013-12-13 · 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{MKH3TDXQNWPJ437BFRH56JF7JM}

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	2026-05-18T01:45:50.694979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

628fb98ef06d9e9e6fe12c4fdf24bf4b2b59d5ffe80376abe1b2c7043866ee78

Aliases

arxiv: 1312.3877 · arxiv_version: 1312.3877v2 · doi: 10.48550/arxiv.1312.3877 · pith_short_12: MKH3TDXQNWPJ · pith_short_16: MKH3TDXQNWPJ437B · pith_short_8: MKH3TDXQ

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/MKH3TDXQNWPJ437BFRH56JF7JM \
  | 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: 628fb98ef06d9e9e6fe12c4fdf24bf4b2b59d5ffe80376abe1b2c7043866ee78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b619496473f7997e72fff267941779aa58c563b211438f4b0134e54637e0a7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-13T17:06:00Z",
    "title_canon_sha256": "92668ba231396610150dd3f485c25e9faec7bf3e30364d45682047a7d0324427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3877",
    "kind": "arxiv",
    "version": 2
  }
}