Pith Number

pith:NC3Y4GBB

pith:2010:NC3Y4GBBCMAHDP5QCPLGFOTHSV

not attested not anchored not stored refs pending

Exceptional orthogonal polynomials and the Darboux transformation

David Gomez-Ullate, Niky Kamran, Robert Milson

arxiv:1002.2666 v2 · 2010-02-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NC3Y4GBBCMAHDP5QCPLGFOTHSV}

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	2026-05-18T04:34:19.557031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b78e1821130071bfb013d662ba67956d56305e3a63dfce5fc786bf558622c6

Aliases

arxiv: 1002.2666 · arxiv_version: 1002.2666v2 · doi: 10.48550/arxiv.1002.2666 · pith_short_12: NC3Y4GBBCMAH · pith_short_16: NC3Y4GBBCMAHDP5Q · pith_short_8: NC3Y4GBB

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/NC3Y4GBBCMAHDP5QCPLGFOTHSV \
  | 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: 68b78e1821130071bfb013d662ba67956d56305e3a63dfce5fc786bf558622c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21146448eb806fdde67d85b72d81609dc53f87274bf6bc1f2044cfa73117e7f0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-13T01:10:47Z",
    "title_canon_sha256": "8f05cbb7a6c1dcb520eb0cfed1a580ae3b019e1707b094eb33bfddb68595a831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2666",
    "kind": "arxiv",
    "version": 2
  }
}