Pith Number

pith:TVSISHCP

pith:2012:TVSISHCPXLA3MA2YR3RITKCLIE

not attested not anchored not stored refs pending

On the double crossed product of weak Hopf algebras

Gabriella B\"ohm, Jos\'e G\'omez-Torrecillas

arxiv:1205.2163 v1 · 2012-05-10 · math.QA · 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{TVSISHCPXLA3MA2YR3RITKCLIE}

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	2026-05-18T03:18:18.689286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d64891c4fbac1b603588ee289a84b410638f2f2becf39dc9ebac9a7a99af0c4

Aliases

arxiv: 1205.2163 · arxiv_version: 1205.2163v1 · doi: 10.48550/arxiv.1205.2163 · pith_short_12: TVSISHCPXLA3 · pith_short_16: TVSISHCPXLA3MA2Y · pith_short_8: TVSISHCP

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/TVSISHCPXLA3MA2YR3RITKCLIE \
  | 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: 9d64891c4fbac1b603588ee289a84b410638f2f2becf39dc9ebac9a7a99af0c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c013acbf8dca8cd9dbcd4cc88526de3f964886e907fe901132f86017f1d6eb93",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-10T06:13:35Z",
    "title_canon_sha256": "6bc4f62f9d5547a6f2443215c37df3aa060f8a1cf5d513da93ff0c3a384313b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2163",
    "kind": "arxiv",
    "version": 1
  }
}