Pith Number

pith:6TXQUEM6

pith:2013:6TXQUEM6CH4W6WUGJFYKQJUPRZ

not attested not anchored not stored refs pending

Transparency condition in the categories of Yetter-Drinfel'd modules over Hopf algebras in braided categories

Bojana Femi\'c

arxiv:1303.3070 v2 · 2013-03-13 · 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{6TXQUEM6CH4W6WUGJFYKQJUPRZ}

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	2026-05-18T03:07:34.354521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ef0a119e11f96f5a864970a8268f8e477c3e1b54990e480c5de6150238d47b

Aliases

arxiv: 1303.3070 · arxiv_version: 1303.3070v2 · doi: 10.48550/arxiv.1303.3070 · pith_short_12: 6TXQUEM6CH4W · pith_short_16: 6TXQUEM6CH4W6WUG · pith_short_8: 6TXQUEM6

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/6TXQUEM6CH4W6WUGJFYKQJUPRZ \
  | 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: f4ef0a119e11f96f5a864970a8268f8e477c3e1b54990e480c5de6150238d47b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf51d65116e6b2e7b075151a9d9c703687f51fcde8b7754b69b0ef00e15b7a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-03-13T00:45:59Z",
    "title_canon_sha256": "1542a08b3e9c97b39988db1081e95856f72dd1228d0e6346656090f17474a92c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3070",
    "kind": "arxiv",
    "version": 2
  }
}