pith. sign in
Pith Number

pith:QL7Z5UFB

pith:2012:QL7Z5UFBDPOK5OS7KA5G5FA5RS
not attested not anchored not stored refs pending

From Hopf algebras to tensor categories

Agustin Garcia Iglesias, Blas Torrecillas, Cristian Vay, Ivan Angiono, Nicolas Andruskiewitsch

arxiv:1204.5807 v1 · 2012-04-26 · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QL7Z5UFBDPOK5OS7KA5G5FA5RS}

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 2026-05-18T03:56:59.484990Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

82ff9ed0a11bdcaeba5f503a6e941d8cb3be4fa2582cf05cfd3e3b44ac04a4bc

Aliases

arxiv: 1204.5807 · arxiv_version: 1204.5807v1 · doi: 10.48550/arxiv.1204.5807 · pith_short_12: QL7Z5UFBDPOK · pith_short_16: QL7Z5UFBDPOK5OS7 · pith_short_8: QL7Z5UFB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QL7Z5UFBDPOK5OS7KA5G5FA5RS \
  | 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: 82ff9ed0a11bdcaeba5f503a6e941d8cb3be4fa2582cf05cfd3e3b44ac04a4bc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c876aeb2068440674b5f575ba3964bac6cc7c5f911c2e6f3f53a691830f0cc2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-04-26T01:54:06Z",
    "title_canon_sha256": "dc0788d19136523c4975f1a583891e423ecc2e21ad836bacc0e2af96ce806988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5807",
    "kind": "arxiv",
    "version": 1
  }
}