pith. sign in
Pith Number

pith:KPYR7VQD

pith:2018:KPYR7VQD37Y4RIT2Z4G5LAAMJQ
not attested not anchored not stored refs pending

Fourth-order superintegrable systems separating in Polar Coordinates. II. Standard Potentials

A. M. Escobar-Ruiz, I. Yurdusen, J. C. L\'opez Vieyra, P. Winternitz

arxiv:1804.05751 v2 · 2018-04-16 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KPYR7VQD37Y4RIT2Z4G5LAAMJQ}

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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 2026-05-17T23:53:44.175728Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

53f11fd603dff1c8a27acf0dd5800c4c3f9e0b3d5a601231c6819aaac07416b4

Aliases

arxiv: 1804.05751 · arxiv_version: 1804.05751v2 · doi: 10.48550/arxiv.1804.05751 · pith_short_12: KPYR7VQD37Y4 · pith_short_16: KPYR7VQD37Y4RIT2 · pith_short_8: KPYR7VQD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KPYR7VQD37Y4RIT2Z4G5LAAMJQ \
  | 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: 53f11fd603dff1c8a27acf0dd5800c4c3f9e0b3d5a601231c6819aaac07416b4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "786c3f4c42e05a2f8429c4e50f0698a78d7997f33000f6c3f5608fb108de6d0a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-04-16T15:45:49Z",
    "title_canon_sha256": "737fdefa64ef3d36b0a82c17746ce075c13bd2e0120adfb48e8c77cca65c1808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05751",
    "kind": "arxiv",
    "version": 2
  }
}