Pith Number

pith:FHL24235

pith:2012:FHL24235C4HEIAP74OFIAU3B4Z

not attested not anchored not stored refs pending

Classification of pointed Hopf algebras of dimension $p^2$ over any algebraically closed field

Linhong Wang, Xingting Wang

arxiv:1212.5626 v3 · 2012-12-21 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHL24235C4HEIAP74OFIAU3B4Z}

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	2026-05-18T02:23:58.993889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29d7ae6b7d170e4401ffe38a805361e64539440ab9ba992e2811e158b8acfa32

Aliases

arxiv: 1212.5626 · arxiv_version: 1212.5626v3 · doi: 10.48550/arxiv.1212.5626 · pith_short_12: FHL24235C4HE · pith_short_16: FHL24235C4HEIAP7 · pith_short_8: FHL24235

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/FHL24235C4HEIAP74OFIAU3B4Z \
  | 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: 29d7ae6b7d170e4401ffe38a805361e64539440ab9ba992e2811e158b8acfa32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24777eada377b055d68d9d419d937af7cf5c29d64d559a1b06b6237343962e4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-21T22:54:25Z",
    "title_canon_sha256": "065f9b63683fb397672d0082843d2c6619a947e67b1e77e7105e1d1672fb3bc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5626",
    "kind": "arxiv",
    "version": 3
  }
}