Pith Number

pith:2Z5U3FGI

pith:2012:2Z5U3FGIFMDPZKIH7MGVG6U3TE

not attested not anchored not stored refs pending

A superintegrable finite oscillator in two dimensions with SU(2) symmetry

Alexei Zhedanov, Hiroshi Miki, Luc Vinet, Sarah Post

arxiv:1208.4142 v1 · 2012-08-20 · math-ph · math.CA · 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{2Z5U3FGIFMDPZKIH7MGVG6U3TE}

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	2026-05-18T01:55:08.970119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67b4d94c82b06fca907fb0d537a9b9915635d9c27fa71435c42c9156528200c

Aliases

arxiv: 1208.4142 · arxiv_version: 1208.4142v1 · doi: 10.48550/arxiv.1208.4142 · pith_short_12: 2Z5U3FGIFMDP · pith_short_16: 2Z5U3FGIFMDPZKIH · pith_short_8: 2Z5U3FGI

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/2Z5U3FGIFMDPZKIH7MGVG6U3TE \
  | 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: d67b4d94c82b06fca907fb0d537a9b9915635d9c27fa71435c42c9156528200c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9971b062032d9c6fad72f0d25200d787405d055e70dafa8c94963a1489825c3c",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-20T23:56:34Z",
    "title_canon_sha256": "7699c0f17f55c82b5b377a43e619dac7e553f8422ba85b97da9327f43c7b81b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4142",
    "kind": "arxiv",
    "version": 1
  }
}