Pith Number

pith:RBLCTA3Q

pith:2013:RBLCTA3QWRSM4THXFKKQJEPYAC

not attested not anchored not stored refs pending

On the Christoffel--Darboux formula for generalized matrix orthogonal polynomials of multigraded-Hankel type

Carlos \'Alvarez-Fern\'andez, Manuel Ma\~nas

arxiv:1311.0563 v1 · 2013-11-04 · math.CA · math-ph · math.MP · 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{RBLCTA3QWRSM4THXFKKQJEPYAC}

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	2026-05-18T02:44:31.745566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8856298370b464ce4cf72a950491f8009ddb4a6c43adcc81bde3275f1af93449

Aliases

arxiv: 1311.0563 · arxiv_version: 1311.0563v1 · doi: 10.48550/arxiv.1311.0563 · pith_short_12: RBLCTA3QWRSM · pith_short_16: RBLCTA3QWRSM4THX · pith_short_8: RBLCTA3Q

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/RBLCTA3QWRSM4THXFKKQJEPYAC \
  | 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: 8856298370b464ce4cf72a950491f8009ddb4a6c43adcc81bde3275f1af93449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "652ca9cb7d37ece21e03460299a6ada9d65ed60703f5dc9118700c343c0b84ec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-04T02:11:23Z",
    "title_canon_sha256": "6da4aab8efba9513c3b660ccf4fc507a92543c3aa83f732d44896806077b17fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0563",
    "kind": "arxiv",
    "version": 1
  }
}