Pith Number

pith:JATSZWWD

pith:2026:JATSZWWDJAYICB6FUA7XI4PCJD

not attested not anchored not stored refs pending

Multiple Orthogonal Polynomials on the Ball and Radial Extensions

Juan Antonio Villegas, Lidia Fern\'andez

arxiv:2606.03446 v1 · 2026-06-02 · 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{JATSZWWDJAYICB6FUA7XI4PCJD}

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	2026-06-03T01:05:58.072293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48272cdac348308107c5a03f7471e248e24905d68926d332900a500720fc3179

Aliases

arxiv: 2606.03446 · arxiv_version: 2606.03446v1 · doi: 10.48550/arxiv.2606.03446 · pith_short_12: JATSZWWDJAYI · pith_short_16: JATSZWWDJAYICB6F · pith_short_8: JATSZWWD

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/JATSZWWDJAYICB6FUA7XI4PCJD \
  | 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: 48272cdac348308107c5a03f7471e248e24905d68926d332900a500720fc3179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbf1ddd248a9d7e32932bd18858d5f19b2c8caaeb02802dc632120dcbafd3bf6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-02T10:28:50Z",
    "title_canon_sha256": "7bddc9e7fa0d9c59172c0387c1fea0005a035d6953e962f5aa624bc03703ee81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03446",
    "kind": "arxiv",
    "version": 1
  }
}