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Pith Number

pith:4NUAEPWR

pith:2009:4NUAEPWRZFVQOX2NAIR742OGM6
not attested not anchored not stored refs pending

Integrable and superintegrable systems with spin in three-dimensional Euclidean space

I. Yurdusen, P. Winternitz

arxiv:0906.1021 v2 · 2009-06-04 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4NUAEPWRZFVQOX2NAIR742OGM6}

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 2026-05-18T03:43:40.741768Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e368023ed1c96b075f4d0223fe69c66780cd93d23df1499ef37678b6d828d6f7

Aliases

arxiv: 0906.1021 · arxiv_version: 0906.1021v2 · doi: 10.48550/arxiv.0906.1021 · pith_short_12: 4NUAEPWRZFVQ · pith_short_16: 4NUAEPWRZFVQOX2N · pith_short_8: 4NUAEPWR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4NUAEPWRZFVQOX2NAIR742OGM6 \
  | 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: e368023ed1c96b075f4d0223fe69c66780cd93d23df1499ef37678b6d828d6f7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "91f7e3577777a2b5d7add6a34a2a293e2eac4e7f9f23b67e9403272028f0745f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-04T23:33:28Z",
    "title_canon_sha256": "337072dc48cdcaee736ccb29498feabee884995e5cee3766643938a57a1ebb3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1021",
    "kind": "arxiv",
    "version": 2
  }
}