Pith Number

pith:O2OCEXXX

pith:2009:O2OCEXXXBBLKORH7EL5XKRGWHD

not attested not anchored not stored refs pending

Repetitive cluster-tilted algebras

Shunhua Zhang, Yuehui Zhang

arxiv:0902.3047 v2 · 2009-02-18 · math.RT · 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{O2OCEXXXBBLKORH7EL5XKRGWHD}

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	2026-05-18T03:35:14.547036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769c225ef70856a744ff22fb7544d638fcf3fe6df44cb92b9fb14a24271244e9

Aliases

arxiv: 0902.3047 · arxiv_version: 0902.3047v2 · doi: 10.48550/arxiv.0902.3047 · pith_short_12: O2OCEXXXBBLK · pith_short_16: O2OCEXXXBBLKORH7 · pith_short_8: O2OCEXXX

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/O2OCEXXXBBLKORH7EL5XKRGWHD \
  | 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: 769c225ef70856a744ff22fb7544d638fcf3fe6df44cb92b9fb14a24271244e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42dedca589ef188fe90de93ffac488740677b7bedd0a5c71728ff7c5e76f398",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-02-18T05:01:02Z",
    "title_canon_sha256": "5f48f11a08962fef391012e304092d6f897f40e85dbdf32c29c4acce565e50cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3047",
    "kind": "arxiv",
    "version": 2
  }
}