Pith Number

pith:B4YKPH5S

pith:2008:B4YKPH5SO5ZFEE4KGRQXFUAWPM

not attested not anchored not stored refs pending

The cluster category of a canonical algebra

Dirk Kussin, Helmut Lenzing, Michael Barot

arxiv:0801.4540 v3 · 2008-01-29 · 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{B4YKPH5SO5ZFEE4KGRQXFUAWPM}

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	2026-07-05T01:37:50.421364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f30a79fb2777252138a346172d0167b1ff04c7de75a960ff6b11b6ae4a77923

Aliases

arxiv: 0801.4540 · arxiv_version: 0801.4540v3 · doi: 10.48550/arxiv.0801.4540 · pith_short_12: B4YKPH5SO5ZF · pith_short_16: B4YKPH5SO5ZFEE4K · pith_short_8: B4YKPH5S

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/B4YKPH5SO5ZFEE4KGRQXFUAWPM \
  | 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: 0f30a79fb2777252138a346172d0167b1ff04c7de75a960ff6b11b6ae4a77923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad81de8759e7f7c6f9e0bb9c05f621f6e454dab3e9603ea1eaf9924ff11e380",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-01-29T19:02:56Z",
    "title_canon_sha256": "c07a2ef85a7a0e9b5daff505f5e927c6809739af2e73f43e766be06e0fb963b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4540",
    "kind": "arxiv",
    "version": 3
  }
}