Pith Number

pith:22GPPZNU

pith:2007:22GPPZNUBR7YZR4YIM22VYA7RO

not attested not anchored not stored refs pending

Superintegrable systems with spin in two- and three-dimensional Euclidean spaces

I. Yurdusen, P. Winternitz

arxiv:0711.0753 v1 · 2007-11-05 · 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{22GPPZNUBR7YZR4YIM22VYA7RO}

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	2026-05-18T00:57:18.786939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68cf7e5b40c7f8cc7984335aae01f8b8212ac2366981fdd2ec792dbc3429176

Aliases

arxiv: 0711.0753 · arxiv_version: 0711.0753v1 · doi: 10.48550/arxiv.0711.0753 · pith_short_12: 22GPPZNUBR7Y · pith_short_16: 22GPPZNUBR7YZR4Y · pith_short_8: 22GPPZNU

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/22GPPZNUBR7YZR4YIM22VYA7RO \
  | 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: d68cf7e5b40c7f8cc7984335aae01f8b8212ac2366981fdd2ec792dbc3429176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60c0dd38c17d9ca5549cba14c0a15abf12088dad98017677509602bd6325f76",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-11-05T21:17:15Z",
    "title_canon_sha256": "d6a563b753dd6bf98b9cc1e5a4e59f8f35fee48047b002187560f9247a6e20a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0753",
    "kind": "arxiv",
    "version": 1
  }
}