Pith Number

pith:TL6O4UZV

pith:2011:TL6O4UZVXOUPAERVK3YR57RT3D

not attested not anchored not stored refs pending

Bivariate second--order linear partial differential equations and orthogonal polynomial solutions

A. Ronveaux, A. Zarzo, E. Godoy, I. Area

arxiv:1101.2640 v1 · 2011-01-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TL6O4UZVXOUPAERVK3YR57RT3D}

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	2026-05-18T04:31:41.745511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9afcee5335bba8f0123556f11efe33d8f8968276a7e4346005d643bf311a3179

Aliases

arxiv: 1101.2640 · arxiv_version: 1101.2640v1 · doi: 10.48550/arxiv.1101.2640 · pith_short_12: TL6O4UZVXOUP · pith_short_16: TL6O4UZVXOUPAERV · pith_short_8: TL6O4UZV

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/TL6O4UZVXOUPAERVK3YR57RT3D \
  | 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: 9afcee5335bba8f0123556f11efe33d8f8968276a7e4346005d643bf311a3179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4d3da4a1f60f3899ff1ca4ebe78afb384725c964ccaaac6f305c18c834f70d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-13T19:40:16Z",
    "title_canon_sha256": "506ac9db20e1e454480d061551bbeae75a1b6836fcfb6551b0e113bea358bc39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2640",
    "kind": "arxiv",
    "version": 1
  }
}