Pith Number

pith:ZZDUADIO

pith:2015:ZZDUADIORM5FRCIVIIKUVMJDJU

not attested not anchored not stored refs pending

Classes of Bivariate Orthogonal Polynomials

Mourad E.H. Ismail, Ruiming Zhang

arxiv:1502.07256 v4 · 2015-02-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZDUADIORM5FRCIVIIKUVMJDJU}

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	2026-05-18T01:20:06.557210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce47400d0e8b3a58891542154ab1234d3876a3b3662f4b8b3151a7364b1fda8f

Aliases

arxiv: 1502.07256 · arxiv_version: 1502.07256v4 · doi: 10.48550/arxiv.1502.07256 · pith_short_12: ZZDUADIORM5F · pith_short_16: ZZDUADIORM5FRCIV · pith_short_8: ZZDUADIO

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/ZZDUADIORM5FRCIVIIKUVMJDJU \
  | 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: ce47400d0e8b3a58891542154ab1234d3876a3b3662f4b8b3151a7364b1fda8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3bea5689ea910988a892238af5634eebd774b464f32f3f8d2bf52dfd5d2bc8f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-24T12:54:05Z",
    "title_canon_sha256": "df3c07a0bb2df4a23bc75d1cbd7c7c40fee410485c69b5d41c12591ffda3c62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07256",
    "kind": "arxiv",
    "version": 4
  }
}