Pith Number

pith:WPYZ3JCZ

pith:2010:WPYZ3JCZWV2ZYBLYQMTLDBCL4L

not attested not anchored not stored refs pending

Realization of the spectrum generating algebra for the generalized Kratzer potentials

K.J. Oyewumi

arxiv:1008.1515 v1 · 2010-08-09 · quant-ph · 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{WPYZ3JCZWV2ZYBLYQMTLDBCL4L}

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	2026-05-18T02:05:57.824429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f19da459b5759c05788326b1844be2cf76729f46977827cfd3f7c624ae3b16

Aliases

arxiv: 1008.1515 · arxiv_version: 1008.1515v1 · doi: 10.48550/arxiv.1008.1515 · pith_short_12: WPYZ3JCZWV2Z · pith_short_16: WPYZ3JCZWV2ZYBLY · pith_short_8: WPYZ3JCZ

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/WPYZ3JCZWV2ZYBLYQMTLDBCL4L \
  | 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: b3f19da459b5759c05788326b1844be2cf76729f46977827cfd3f7c624ae3b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b89094175a0af8b98ea8a25a371d9cacb589fff9dcd497e74d30f815428af5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-09T14:35:20Z",
    "title_canon_sha256": "15f98eb1d38912a0e145ec0cbf8f737ec532a678d8fb55b7f64b2334bd401e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1515",
    "kind": "arxiv",
    "version": 1
  }
}