Pith Number

pith:WLI7UFJY

pith:2007:WLI7UFJY3FOEXH6PCTFCXKOGRG

not attested not anchored not stored refs pending

Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions

Antonio J. Duran, Manuel D. de la Iglesia

arxiv:0711.1763 v2 · 2007-11-12 · 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{WLI7UFJY3FOEXH6PCTFCXKOGRG}

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	2026-05-18T04:10:37.399383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d1fa1538d95c4b9fcf14ca2ba9c689ba1c97c35a3f6b5bda99ae6a6465fbdf

Aliases

arxiv: 0711.1763 · arxiv_version: 0711.1763v2 · doi: 10.48550/arxiv.0711.1763 · pith_short_12: WLI7UFJY3FOE · pith_short_16: WLI7UFJY3FOEXH6P · pith_short_8: WLI7UFJY

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/WLI7UFJY3FOEXH6PCTFCXKOGRG \
  | 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: b2d1fa1538d95c4b9fcf14ca2ba9c689ba1c97c35a3f6b5bda99ae6a6465fbdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c13c646d1000a2631a75ba3d84804f09e11cbbf362537afffabfab4cf9bf87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2007-11-12T12:46:16Z",
    "title_canon_sha256": "f70a1a1fdd923e5e4214e4fa07d9fadce58e40df9b33f955322f358db82a7e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1763",
    "kind": "arxiv",
    "version": 2
  }
}