Pith Number

pith:4BJY3KQF

pith:2010:4BJY3KQFZWQDONK5HOEAFDID4I

not attested not anchored not stored refs pending

Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials

Agnieszka Tereszkiewicz, Jiri Patera, Maryna Nesterenko, Marzena Szajewska

arxiv:1007.4431 v2 · 2010-07-26 · math.RT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BJY3KQFZWQDONK5HOEAFDID4I}

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	2026-05-18T04:17:25.079919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0538daa05cda037355d3b88028d03e217075cd453ab3c7429b5fa573e67b009

Aliases

arxiv: 1007.4431 · arxiv_version: 1007.4431v2 · doi: 10.48550/arxiv.1007.4431 · pith_short_12: 4BJY3KQFZWQD · pith_short_16: 4BJY3KQFZWQDONK5 · pith_short_8: 4BJY3KQF

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/4BJY3KQFZWQDONK5HOEAFDID4I \
  | 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: e0538daa05cda037355d3b88028d03e217075cd453ab3c7429b5fa573e67b009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be22a091b838d6445aca2e950e678aa6fbb09c01aba2f88ab23fd2af1d3133e6",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-07-26T12:06:39Z",
    "title_canon_sha256": "3639ba79a7d3bd5aff575a0546f3f615f4af882d43e319e59fc018b4fc397db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4431",
    "kind": "arxiv",
    "version": 2
  }
}