Pith Number

pith:W4TD4JK3

pith:2009:W4TD4JK3XOENNLWLPAL5YKGY5E

not attested not anchored not stored refs pending

Mutation classes of \tilde{A}_n-quivers and derived equivalence classification of cluster tilted algebras of type \tilde{A}_n

Janine Bastian

arxiv:0901.1515 v5 · 2009-01-12 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4TD4JK3XOENNLWLPAL5YKGY5E}

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	2026-05-18T04:02:25.459951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7263e255bbb88d6aecb7817dc28d8e91608da029c81e7c33054da5e4192ee3a

Aliases

arxiv: 0901.1515 · arxiv_version: 0901.1515v5 · doi: 10.48550/arxiv.0901.1515 · pith_short_12: W4TD4JK3XOEN · pith_short_16: W4TD4JK3XOENNLWL · pith_short_8: W4TD4JK3

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/W4TD4JK3XOENNLWLPAL5YKGY5E \
  | 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: b7263e255bbb88d6aecb7817dc28d8e91608da029c81e7c33054da5e4192ee3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654b2c59e6c3ee3d179f44fd9fb6b6b39f4af3326c4b248a2968e58114486789",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-01-12T08:19:34Z",
    "title_canon_sha256": "9ae4b87c256cf17a773537b4ed2eed3bc9c1750631bf28e453d59bad5a796bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1515",
    "kind": "arxiv",
    "version": 5
  }
}