Pith Number

pith:VBJ5MCRZ

pith:2015:VBJ5MCRZQFFOTFCCHZZVA6WDWX

not attested not anchored not stored refs pending

Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions

Christiane Quesne, Ian Marquette

arxiv:1503.03916 v1 · 2015-03-13 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBJ5MCRZQFFOTFCCHZZVA6WDWX}

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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	2026-05-18T01:36:01.405881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a853d60a39814ae994423e73507ac3b5cff502fb4fb2a43f30ccd4506255476c

Aliases

arxiv: 1503.03916 · arxiv_version: 1503.03916v1 · doi: 10.48550/arxiv.1503.03916 · pith_short_12: VBJ5MCRZQFFO · pith_short_16: VBJ5MCRZQFFOTFCC · pith_short_8: VBJ5MCRZ

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/VBJ5MCRZQFFOTFCCHZZVA6WDWX \
  | 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: a853d60a39814ae994423e73507ac3b5cff502fb4fb2a43f30ccd4506255476c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35ff810ee7605b50615a61d6bda22b7d6d7810ddefe8eae5a66b86eea0e13e5d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-13T00:18:33Z",
    "title_canon_sha256": "c7a75b96d196f9fe4005cf47bf17d5ba67422981da95d4f6b03c3a5b6ef6efa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03916",
    "kind": "arxiv",
    "version": 1
  }
}