Pith Number

pith:2RMCOLAI

pith:2011:2RMCOLAIM2AEKV226N45SZ6UD7

not attested not anchored not stored refs pending

Structure theorems for semisimple Hopf algebras of dimension $pq^3$

Jingcheng Dong

arxiv:1102.3770 v2 · 2011-02-18 · math.RA · 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{2RMCOLAIM2AEKV226N45SZ6UD7}

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	2026-05-18T04:15:04.063792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d458272c08668045575af379d967d41fff314057234d3ecee591314d83b00461

Aliases

arxiv: 1102.3770 · arxiv_version: 1102.3770v2 · doi: 10.48550/arxiv.1102.3770 · pith_short_12: 2RMCOLAIM2AE · pith_short_16: 2RMCOLAIM2AEKV22 · pith_short_8: 2RMCOLAI

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/2RMCOLAIM2AEKV226N45SZ6UD7 \
  | 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: d458272c08668045575af379d967d41fff314057234d3ecee591314d83b00461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7e8afc64af29fc5c8e7023406a9982e51d5ae1571b18cb301dcba9d4ef55ba",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-02-18T07:25:18Z",
    "title_canon_sha256": "834b510306a150d2009333e526dc7d18d4819d286ecd1113bbb6baf670482ce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3770",
    "kind": "arxiv",
    "version": 2
  }
}