Pith Number

pith:2JMQUX5U

pith:2009:2JMQUX5U2UPITHY4UU6GEABBEN

not attested not anchored not stored refs pending

Finite dimensional pointed Hopf algebras over S_4

Agustin Garcia Iglesias, Gaston Andres Garcia

arxiv:0904.2558 v2 · 2009-04-16 · math.QA · 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{2JMQUX5U2UPITHY4UU6GEABBEN}

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	2026-05-18T00:14:35.107928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2590a5fb4d51e899f1ca53c620021234164f075e61d1a3f9ba16814279d0fd1

Aliases

arxiv: 0904.2558 · arxiv_version: 0904.2558v2 · doi: 10.48550/arxiv.0904.2558 · pith_short_12: 2JMQUX5U2UPI · pith_short_16: 2JMQUX5U2UPITHY4 · pith_short_8: 2JMQUX5U

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/2JMQUX5U2UPITHY4UU6GEABBEN \
  | 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: d2590a5fb4d51e899f1ca53c620021234164f075e61d1a3f9ba16814279d0fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c775702fafb28164008dcdff641d429fe8e80af680e750cbad0c8de1da07f1d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-04-16T18:44:27Z",
    "title_canon_sha256": "3bf1634cbcc57260881dbc4f165b7ef43d570f2e42c83a69117c09f0b9ce76f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2558",
    "kind": "arxiv",
    "version": 2
  }
}