Pith Number

pith:ZXJU5SL5

pith:2016:ZXJU5SL5JGOZX7DUV5ZPHK5TFQ

not attested not anchored not stored refs pending

$SU(1,1)$ solution for the Dunkl oscillator in two dimensions and its coherent states

D. Ojeda-Guill\'en, M. Salazar-Ram\'irez, R.D. Mota, V.D. Granados

arxiv:1607.06169 v1 · 2016-07-21 · 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{ZXJU5SL5JGOZX7DUV5ZPHK5TFQ}

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	2026-05-18T00:52:08.322440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd34ec97d499d9bfc74af72f3abb32c2f43dfc832c11dba92f28e1b127ef4f4

Aliases

arxiv: 1607.06169 · arxiv_version: 1607.06169v1 · doi: 10.48550/arxiv.1607.06169 · pith_short_12: ZXJU5SL5JGOZ · pith_short_16: ZXJU5SL5JGOZX7DU · pith_short_8: ZXJU5SL5

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/ZXJU5SL5JGOZX7DUV5ZPHK5TFQ \
  | 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: cdd34ec97d499d9bfc74af72f3abb32c2f43dfc832c11dba92f28e1b127ef4f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e247981c941ec4cf0b8e2398ac7029bdb2eb08051b1a69b483a30f5e66165b3",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-21T02:05:01Z",
    "title_canon_sha256": "64b2e8dcc0db400d80d73364862c067bca6a6969f4c96438e1d30a24f694ed89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06169",
    "kind": "arxiv",
    "version": 1
  }
}