Pith Number

pith:ZWCMHXT3

pith:2016:ZWCMHXT35LE3TN54EWDOMAM3AS

not attested not anchored not stored refs pending

A Bochner type classification theorem for exceptional orthogonal polynomials

David G\'omez-Ullate, M. \'Angeles Garc\'ia-Ferrero, Robert Milson

arxiv:1603.04358 v2 · 2016-03-14 · 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{ZWCMHXT35LE3TN54EWDOMAM3AS}

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	2026-05-18T00:51:25.773653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd84c3de7beac9b9b7bc2586e6019b049a10a7baab4fcb84de76a05ca1d16f51

Aliases

arxiv: 1603.04358 · arxiv_version: 1603.04358v2 · doi: 10.48550/arxiv.1603.04358 · pith_short_12: ZWCMHXT35LE3 · pith_short_16: ZWCMHXT35LE3TN54 · pith_short_8: ZWCMHXT3

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/ZWCMHXT35LE3TN54EWDOMAM3AS \
  | 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: cd84c3de7beac9b9b7bc2586e6019b049a10a7baab4fcb84de76a05ca1d16f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133fbd6877cb9892a21e440c2fc4388fc3b2edd5ef7179f0916b211f6b47b0a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-14T17:47:49Z",
    "title_canon_sha256": "87af6931a352a82d344166c7a37d022df68c061c4faee94655068a347f0b2240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04358",
    "kind": "arxiv",
    "version": 2
  }
}