Pith Number

pith:SJT4D7AW

pith:2015:SJT4D7AWSPLLFYHMBFXCPGGRJQ

not attested not anchored not stored refs pending

Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy

Carlos \'Alvarez-Fern\'andez, Francisco Marcell\'an, Gerardo Ariznabarreta, Juan Carlos Garc\'ia-Ardila, Manuel Ma\~nas

arxiv:1511.04771 v7 · 2015-11-15 · math.CA · math-ph · math.MP · math.OA · math.RT · 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{SJT4D7AWSPLLFYHMBFXCPGGRJQ}

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	2026-05-18T01:08:20.631813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9267c1fc1693d6b2e0ec096e2798d14c28e58d570762a9bb515b131a2e5c39d9

Aliases

arxiv: 1511.04771 · arxiv_version: 1511.04771v7 · doi: 10.48550/arxiv.1511.04771 · pith_short_12: SJT4D7AWSPLL · pith_short_16: SJT4D7AWSPLLFYHM · pith_short_8: SJT4D7AW

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/SJT4D7AWSPLLFYHMBFXCPGGRJQ \
  | 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: 9267c1fc1693d6b2e0ec096e2798d14c28e58d570762a9bb515b131a2e5c39d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9704fea9524e5311907930000c14b4d350f3643f152319f557609ef2665819",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "math.RT",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-15T21:46:13Z",
    "title_canon_sha256": "760bb0c48ce837e7136ee676f95df10fa7d3e92ccde28fdaaf2f4e3c4ee8af44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04771",
    "kind": "arxiv",
    "version": 7
  }
}