Pith Number

pith:UI4TKUB3

pith:2009:UI4TKUB3QSMTXQBMB7YGTRWGHS

not attested not anchored not stored refs pending

Families of classical subgroup separable superintegrable systems

E.G. Kalnins, J. M.Kress, W. Miller Jr

arxiv:0912.3158 v1 · 2009-12-16 · 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{UI4TKUB3QSMTXQBMB7YGTRWGHS}

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	2026-05-18T02:10:16.556038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23935503b84993bc02c0ff069c6c63ca6f231143358ac7f3bc33f5bf24f9e46

Aliases

arxiv: 0912.3158 · arxiv_version: 0912.3158v1 · doi: 10.48550/arxiv.0912.3158 · pith_short_12: UI4TKUB3QSMT · pith_short_16: UI4TKUB3QSMTXQBM · pith_short_8: UI4TKUB3

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/UI4TKUB3QSMTXQBMB7YGTRWGHS \
  | 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: a23935503b84993bc02c0ff069c6c63ca6f231143358ac7f3bc33f5bf24f9e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "426a3dfca7949f7f390f1bbe57ee516dc998e65a42e5691c280e68c2a258f721",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-16T15:07:27Z",
    "title_canon_sha256": "e31f82b273acfa27b9919f2d29c2ab7eb92dff9880c596319b4a9c83903ce315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3158",
    "kind": "arxiv",
    "version": 1
  }
}