Pith Number

pith:BO2FTBBJ

pith:2011:BO2FTBBJIQO2KU35AV7Y6CUKXR

not attested not anchored not stored refs pending

Semisimple Hopf algebras of dimension $2q^3$

Jingcheng Dong, Li Dai

arxiv:1105.4398 v3 · 2011-05-23 · 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{BO2FTBBJIQO2KU35AV7Y6CUKXR}

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	2026-05-18T03:58:36.913201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb4598429441da5537d057f8f0a8abc5e9c5beee05493983d0071442c8b29a0

Aliases

arxiv: 1105.4398 · arxiv_version: 1105.4398v3 · doi: 10.48550/arxiv.1105.4398 · pith_short_12: BO2FTBBJIQO2 · pith_short_16: BO2FTBBJIQO2KU35 · pith_short_8: BO2FTBBJ

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/BO2FTBBJIQO2KU35AV7Y6CUKXR \
  | 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: 0bb4598429441da5537d057f8f0a8abc5e9c5beee05493983d0071442c8b29a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a190e447aa5801ee56dd5d7c78fce44df3723e936d5a28ac12b85af39aa13b31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-05-23T03:27:56Z",
    "title_canon_sha256": "f254b8f18cf70c8d03c58a06e4e10191b5bb659f00d9e582b6cab58fc180e70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4398",
    "kind": "arxiv",
    "version": 3
  }
}