Pith Number

pith:HE7LRYII

pith:2015:HE7LRYIIVCMDYPN33LAC66775N

not attested not anchored not stored refs pending

Darboux transformations for multivariate orthogonal polynomials

Gerardo Ariznabarreta, Manuel Ma\~nas

arxiv:1503.04786 v5 · 2015-03-16 · math.CA · math-ph · math.AG · math.MP · math.RA · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HE7LRYIIVCMDYPN33LAC66775N}

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	2026-05-17T23:41:18.519024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

393eb8e108a8983c3dbbdac02f7bffeb44ce9a8f724c26bfaa70223a67bd109f

Aliases

arxiv: 1503.04786 · arxiv_version: 1503.04786v5 · doi: 10.48550/arxiv.1503.04786 · pith_short_12: HE7LRYIIVCMD · pith_short_16: HE7LRYIIVCMDYPN3 · pith_short_8: HE7LRYII

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/HE7LRYIIVCMDYPN33LAC66775N \
  | 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: 393eb8e108a8983c3dbbdac02f7bffeb44ce9a8f724c26bfaa70223a67bd109f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "795a5e0646943bbc1e47bd3dc6d74404d6eeb442a36c8f43ed972f5e2e856d56",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.RA",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-16T19:41:53Z",
    "title_canon_sha256": "47608685d2f6de597124f0500cb2e2bc648384526d745238a0627128fd770995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04786",
    "kind": "arxiv",
    "version": 5
  }
}