Pith Number

pith:4CUQZOFO

pith:2010:4CUQZOFODKKQRP5UBO6KJINJKU

not attested not anchored not stored refs pending

Algebras graded by discrete Doi-Hopf data and the Drinfeld double of a Hopf group-coalgebra

D. Bulacu, S. Caenepeel

arxiv:1011.0886 v1 · 2010-11-03 · 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{4CUQZOFODKKQRP5UBO6KJINJKU}

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	2026-05-18T04:37:12.168367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a90cb8ae1a9508bfb40bbca4a1a955047cee08a16f3eab4ffcc065b75d4e4f

Aliases

arxiv: 1011.0886 · arxiv_version: 1011.0886v1 · doi: 10.48550/arxiv.1011.0886 · pith_short_12: 4CUQZOFODKKQ · pith_short_16: 4CUQZOFODKKQRP5U · pith_short_8: 4CUQZOFO

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/4CUQZOFODKKQRP5UBO6KJINJKU \
  | 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: e0a90cb8ae1a9508bfb40bbca4a1a955047cee08a16f3eab4ffcc065b75d4e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7676aa2dd3fa49c17c44a8f6e58697d797d1032233b3221219fdde1f6763e558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-03T14:03:02Z",
    "title_canon_sha256": "4f11bb47053a064c12a3196d27431e72e19d83a04dbc30fa2342e2b3f402457c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0886",
    "kind": "arxiv",
    "version": 1
  }
}