Pith Number

pith:TZUD2FYL

pith:2012:TZUD2FYLAAFC7QE7XKGK5XZSS6

not attested not anchored not stored refs pending

Classifying Hopf algebras of a given dimension

Gaston Andres Garcia, Margaret Beattie

arxiv:1206.6529 v2 · 2012-06-27 · 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{TZUD2FYLAAFC7QE7XKGK5XZSS6}

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	2026-05-18T02:31:02.581848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e683d170b000a2fc09fba8caedf3297add0a01d0957c6a9064a4fa7d0ae3615

Aliases

arxiv: 1206.6529 · arxiv_version: 1206.6529v2 · doi: 10.48550/arxiv.1206.6529 · pith_short_12: TZUD2FYLAAFC · pith_short_16: TZUD2FYLAAFC7QE7 · pith_short_8: TZUD2FYL

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/TZUD2FYLAAFC7QE7XKGK5XZSS6 \
  | 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: 9e683d170b000a2fc09fba8caedf3297add0a01d0957c6a9064a4fa7d0ae3615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec1ad1a7d57f463703114051d3ed7de7ea5bec219feac7ae5eda8ef08b6609e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-06-27T22:06:20Z",
    "title_canon_sha256": "a8aa650c1f7b352c8d79657b5a8c69489027916fc6bd9b122b465e6db35d7088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6529",
    "kind": "arxiv",
    "version": 2
  }
}