Pith Number

pith:CKMNEYLI

pith:2012:CKMNEYLIQIEXIR4FHTX44YGMD2

not attested not anchored not stored refs pending

The Green rings of the generalized Taft Hopf algebras

Libin Li, Yinhuo Zhang

arxiv:1210.4245 v1 · 2012-10-16 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKMNEYLIQIEXIR4FHTX44YGMD2}

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	2026-05-18T03:43:06.537466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1298d2616882097447853cefce60cc1e99ee909512c1a97a16aa1ea34155de41

Aliases

arxiv: 1210.4245 · arxiv_version: 1210.4245v1 · doi: 10.48550/arxiv.1210.4245 · pith_short_12: CKMNEYLIQIEX · pith_short_16: CKMNEYLIQIEXIR4F · pith_short_8: CKMNEYLI

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/CKMNEYLIQIEXIR4FHTX44YGMD2 \
  | 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: 1298d2616882097447853cefce60cc1e99ee909512c1a97a16aa1ea34155de41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b991bf8e259bc42067eb95f6053d2aa2c0e21c6836eac0966c10435a37b89e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-16T04:35:36Z",
    "title_canon_sha256": "9ea3f79cdeaf363c7e46b89d9db37b1d3831064ad9da91a3215018bbd9aef12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4245",
    "kind": "arxiv",
    "version": 1
  }
}