Pith Number

pith:AYFG5MWM

pith:2013:AYFG5MWMIHU67S4YUDO3JL7PP4

not attested not anchored not stored refs pending

Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials

Alexei Zhedanov, Luc Vinet, Vincent X. Genest

arxiv:1307.0692 v2 · 2013-07-02 · 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{AYFG5MWMIHU67S4YUDO3JL7PP4}

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	2026-05-18T01:49:00.703563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060a6eb2cc41e9efcb98a0ddb4afef7f2d92886bf50a678e850456cb587b1669

Aliases

arxiv: 1307.0692 · arxiv_version: 1307.0692v2 · doi: 10.48550/arxiv.1307.0692 · pith_short_12: AYFG5MWMIHU6 · pith_short_16: AYFG5MWMIHU67S4Y · pith_short_8: AYFG5MWM

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/AYFG5MWMIHU67S4YUDO3JL7PP4 \
  | 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: 060a6eb2cc41e9efcb98a0ddb4afef7f2d92886bf50a678e850456cb587b1669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ba5d8b47f2023a8dbd55489c34b9c4dfa734fc5b45efe0bde5a0874ee8f312e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-02T11:54:11Z",
    "title_canon_sha256": "e4e350b9d88877603b6cc2183060a4da4f032520ae9b2780b5fb7229b4e4e962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0692",
    "kind": "arxiv",
    "version": 2
  }
}