Pith Number

pith:XE4MR5UR

pith:2010:XE4MR5UROIY7VH2MMFM7APXNOB

not attested not anchored not stored refs pending

An infinite family of superintegrable deformations of the Coulomb potential

P. Winternitz, S. Post

arxiv:1003.5230 v2 · 2010-03-26 · 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{XE4MR5UROIY7VH2MMFM7APXNOB}

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	2026-05-18T02:08:16.575809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b938c8f6917231fa9f4c6159f03eed705b1106457b990a1853e5b7738d65bfd4

Aliases

arxiv: 1003.5230 · arxiv_version: 1003.5230v2 · doi: 10.48550/arxiv.1003.5230 · pith_short_12: XE4MR5UROIY7 · pith_short_16: XE4MR5UROIY7VH2M · pith_short_8: XE4MR5UR

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/XE4MR5UROIY7VH2MMFM7APXNOB \
  | 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: b938c8f6917231fa9f4c6159f03eed705b1106457b990a1853e5b7738d65bfd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac01052624a309fc58512e871b15558d7f47f8ae2c5f7d6734cb9e97643f928",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-26T20:57:50Z",
    "title_canon_sha256": "eefb92f39cf91639b6e37582f1a9ca93684c94f9810d6f4f32256c71ffb312bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5230",
    "kind": "arxiv",
    "version": 2
  }
}