Pith Number

pith:DXFAP4HU

pith:2011:DXFAP4HU77ZUNPLAQVNAXH5NZG

not attested not anchored not stored refs pending

Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials

Anisse Kasraoui, Jiang Zeng, Mourad E. H. Ismail

arxiv:1112.0970 v2 · 2011-12-05 · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXFAP4HU77ZUNPLAQVNAXH5NZG}

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	2026-05-18T03:40:36.646718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dca07f0f4fff346bd60855a0b9fadc9b2038bfe5dd8a73b6b6bda24530ce116

Aliases

arxiv: 1112.0970 · arxiv_version: 1112.0970v2 · doi: 10.48550/arxiv.1112.0970 · pith_short_12: DXFAP4HU77ZU · pith_short_16: DXFAP4HU77ZUNPLA · pith_short_8: DXFAP4HU

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/DXFAP4HU77ZUNPLAQVNAXH5NZG \
  | 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: 1dca07f0f4fff346bd60855a0b9fadc9b2038bfe5dd8a73b6b6bda24530ce116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4837236e7c50ef810fc41d0bfc352cfe1545b34a7073fba1f5c966224f4b8ab",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-05T15:46:13Z",
    "title_canon_sha256": "fa6e2780fd6b2593390c62f18771af2d68018aba7d18c2a2e3917ef496aa9318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0970",
    "kind": "arxiv",
    "version": 2
  }
}