Pith Number

pith:UL7AJ4OG

pith:2018:UL7AJ4OGTUQMTXSJ3IYCAB42H6

not attested not anchored not stored refs pending

General $N^{th}$-order superintegrable systems separating in polar coordinates

A. M. Escobar-Ruiz, I. Yurdusen, P. Winternitz

arxiv:1806.06849 v2 · 2018-06-18 · 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{UL7AJ4OGTUQMTXSJ3IYCAB42H6}

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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	2026-05-18T00:06:20.112838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2fe04f1c69d20c9de49da3020079a3fa0f7a5072d3f4222bf6cbc10f46749eb

Aliases

arxiv: 1806.06849 · arxiv_version: 1806.06849v2 · doi: 10.48550/arxiv.1806.06849 · pith_short_12: UL7AJ4OGTUQM · pith_short_16: UL7AJ4OGTUQMTXSJ · pith_short_8: UL7AJ4OG

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/UL7AJ4OGTUQMTXSJ3IYCAB42H6 \
  | 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: a2fe04f1c69d20c9de49da3020079a3fa0f7a5072d3f4222bf6cbc10f46749eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85af2dffc750eadb4cb93f3cefe98e0e7ea048efba2a5692a702aa86c530367",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-18T17:58:15Z",
    "title_canon_sha256": "198a2c0332f6896ecec03bf09b8ee2716fb562b8409307526ca73a7932913d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06849",
    "kind": "arxiv",
    "version": 2
  }
}