Pith Number

pith:GFJ3LVD5

pith:2009:GFJ3LVD55XBSS3CPCPNOLDHNCA

not attested not anchored not stored refs pending

Cluster algebras of type $A_2^{(1)}$

Giovanni Cerulli Irelli

arxiv:0904.2543 v3 · 2009-04-16 · 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{GFJ3LVD55XBSS3CPCPNOLDHNCA}

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	2026-05-18T03:40:49.911071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3153b5d47dedc3296c4f13dae58ced100c36ab1b3ff3cec44a2c6b87cf3a5056

Aliases

arxiv: 0904.2543 · arxiv_version: 0904.2543v3 · doi: 10.48550/arxiv.0904.2543 · pith_short_12: GFJ3LVD55XBS · pith_short_16: GFJ3LVD55XBSS3CP · pith_short_8: GFJ3LVD5

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/GFJ3LVD55XBSS3CPCPNOLDHNCA \
  | 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: 3153b5d47dedc3296c4f13dae58ced100c36ab1b3ff3cec44a2c6b87cf3a5056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3cfbbf30cf451b3e1215923e6586a5f4aac4b4c399c136ffe6e21b90f1165d2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-04-16T17:36:12Z",
    "title_canon_sha256": "e6f8f022b3b817209a537ff378bfa38529361777118ddb7ee2af74e1732be405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2543",
    "kind": "arxiv",
    "version": 3
  }
}