Pith Number

pith:WSXJ7SDG

pith:2011:WSXJ7SDGW6PRFPU6TAHGASUGWV

not attested not anchored not stored refs pending

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

Jingcheng Dong

arxiv:1101.1568 v1 · 2011-01-08 · 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{WSXJ7SDGW6PRFPU6TAHGASUGWV}

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	2026-05-18T04:31:52.012106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4ae9fc866b79f12be9e980e604a86b576f24c24e2d84f90b82c8d8ebb7c41eb

Aliases

arxiv: 1101.1568 · arxiv_version: 1101.1568v1 · doi: 10.48550/arxiv.1101.1568 · pith_short_12: WSXJ7SDGW6PR · pith_short_16: WSXJ7SDGW6PRFPU6 · pith_short_8: WSXJ7SDG

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/WSXJ7SDGW6PRFPU6TAHGASUGWV \
  | 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: b4ae9fc866b79f12be9e980e604a86b576f24c24e2d84f90b82c8d8ebb7c41eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf25a5af8bb4d6d672903cd6c51ce0144249d1935289c1e2cada629ca67b89a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-08T03:14:19Z",
    "title_canon_sha256": "85a507f4dd9fe5b661f75f01b9f709f4165026beb8ec2f42ae4c82124b404255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1568",
    "kind": "arxiv",
    "version": 1
  }
}