Pith Number

pith:IYBNLN3F

pith:2010:IYBNLN3F5MICCYKEHSRXPILE4O

not attested not anchored not stored refs pending

Structure of semisimple Hopf algebras of dimension $p^2q^2$

Jingcheng Dong

arxiv:1009.3541 v2 · 2010-09-18 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYBNLN3F5MICCYKEHSRXPILE4O}

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	2026-05-18T03:58:04.671950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4602d5b765eb102161443ca377a164e3ba7cea49629502ff4dc3b347e88e7a10

Aliases

arxiv: 1009.3541 · arxiv_version: 1009.3541v2 · doi: 10.48550/arxiv.1009.3541 · pith_short_12: IYBNLN3F5MIC · pith_short_16: IYBNLN3F5MICCYKE · pith_short_8: IYBNLN3F

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/IYBNLN3F5MICCYKEHSRXPILE4O \
  | 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: 4602d5b765eb102161443ca377a164e3ba7cea49629502ff4dc3b347e88e7a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e9f9bb3ca9b1d78870fe9b97776c6c98509f583d4f82930fca0277e2ae15d1c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-09-18T09:15:25Z",
    "title_canon_sha256": "a164bc27cc10bd4fc8728b75236d00dc1fba2becd0fd2bbc2745fdc11d6c2bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3541",
    "kind": "arxiv",
    "version": 2
  }
}