Pith Number

pith:4OH2LBIC

pith:2012:4OH2LBICM35MG3JVZH2FVUGKOT

not attested not anchored not stored refs pending

Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials

Ernest G. Kalnins, Sarah Post, Willard Miller Jr

arxiv:1212.4766 v3 · 2012-12-19 · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OH2LBICM35MG3JVZH2FVUGKOT}

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	2026-05-18T03:11:35.995011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38fa5850266fac36d35c9f45ad0ca74c3fc351bd9413d600d64e085d8fb09f7

Aliases

arxiv: 1212.4766 · arxiv_version: 1212.4766v3 · doi: 10.48550/arxiv.1212.4766 · pith_short_12: 4OH2LBICM35M · pith_short_16: 4OH2LBICM35MG3JV · pith_short_8: 4OH2LBIC

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/4OH2LBICM35MG3JVZH2FVUGKOT \
  | 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: e38fa5850266fac36d35c9f45ad0ca74c3fc351bd9413d600d64e085d8fb09f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e74b77727c5f700f870355a8b90627d793d56ff5094a648de7470aa9f1882c3e",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-19T18:00:58Z",
    "title_canon_sha256": "2867116421193953eb38b70c3579a694b78089e2f8a259629d15b854d215e03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4766",
    "kind": "arxiv",
    "version": 3
  }
}