Pith Number

pith:QKGNLYND

pith:2013:QKGNLYND3PKLCVP73KM6JWHRFO

not attested not anchored not stored refs pending

Matrix Gegenbauer Polynomials: the $2\times 2$ Fundamental Cases

Ignacio Zurri\'an, In\'es Pacharoni

arxiv:1309.6902 v3 · 2013-09-24 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKGNLYND3PKLCVP73KM6JWHRFO}

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	2026-05-18T01:16:33.649346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828cd5e1a3dbd4b155ffda99e4d8f12bb3d5f39342f0f0d0e83fdb4f9c9963d8

Aliases

arxiv: 1309.6902 · arxiv_version: 1309.6902v3 · doi: 10.48550/arxiv.1309.6902 · pith_short_12: QKGNLYND3PKL · pith_short_16: QKGNLYND3PKLCVP7 · pith_short_8: QKGNLYND

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/QKGNLYND3PKLCVP73KM6JWHRFO \
  | 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: 828cd5e1a3dbd4b155ffda99e4d8f12bb3d5f39342f0f0d0e83fdb4f9c9963d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7bbc6a4fe35e862c53c337932cd84e90f5d7fe1884015b2647c73997a460cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-24T23:19:58Z",
    "title_canon_sha256": "0f6777f5c60cb84a798277b5433c446f9c7a481c239fa8236d6e9e2c4740eb4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6902",
    "kind": "arxiv",
    "version": 3
  }
}