Pith Number

pith:OOP7UFR2

pith:2012:OOP7UFR2UY5QLYINPIQ6ZGQNLO

not attested not anchored not stored refs pending

Fej\'er-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle

Jeffrey S. Geronimo, Plamen Iliev

arxiv:1206.1526 v1 · 2012-06-07 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOP7UFR2UY5QLYINPIQ6ZGQNLO}

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	2026-05-18T02:39:38.445694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739ffa163aa63b05e10d7a21ec9a0d5bb121f9b9f0a779a8101cf1e26509a912

Aliases

arxiv: 1206.1526 · arxiv_version: 1206.1526v1 · doi: 10.48550/arxiv.1206.1526 · pith_short_12: OOP7UFR2UY5Q · pith_short_16: OOP7UFR2UY5QLYIN · pith_short_8: OOP7UFR2

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/OOP7UFR2UY5QLYINPIQ6ZGQNLO \
  | 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: 739ffa163aa63b05e10d7a21ec9a0d5bb121f9b9f0a779a8101cf1e26509a912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364478c1a0d5de40deca30c760b4bc30a4828b6ead0cb3ec56a675bd4cd15af3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-06-07T15:28:40Z",
    "title_canon_sha256": "b4c7dc22dfbc9cf918c5201ee0e578b15c74cc6e59627330735b97335f532caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1526",
    "kind": "arxiv",
    "version": 1
  }
}