Pith Number

pith:OSYKPY7F

pith:2019:OSYKPY7FEYF3QSMUOCYXV352UC

not attested not anchored not stored refs pending

Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class

Alexander I. Aptekarev, Rostyslav Kozhan

arxiv:1908.04540 v2 · 2019-08-13 · math.CA · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OSYKPY7FEYF3QSMUOCYXV352UC}

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	2026-07-05T00:54:22.895705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74b0a7e3e5260bb8499470b17aefbaa08472e3183e6838836e59ebceb5ab8762

Aliases

arxiv: 1908.04540 · arxiv_version: 1908.04540v2 · doi: 10.48550/arxiv.1908.04540 · pith_short_12: OSYKPY7FEYF3 · pith_short_16: OSYKPY7FEYF3QSMU · pith_short_8: OSYKPY7F

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/OSYKPY7FEYF3QSMUOCYXV352UC \
  | 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: 74b0a7e3e5260bb8499470b17aefbaa08472e3183e6838836e59ebceb5ab8762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c67018d74004918050d37dad17a3242fac0db4cc5d9d367256d0a985530fe486",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-13T08:51:33Z",
    "title_canon_sha256": "0413f69214dcd9c91eac7c2a5523cf664cf226b8a9e5db56e88a934701ca7d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04540",
    "kind": "arxiv",
    "version": 2
  }
}