pith. sign in
Pith Number

pith:MLHW5553

pith:2011:MLHW5553BE4RRHN72457KXVMEL
not attested not anchored not stored refs pending

Quantum cluster algebras of type A and the dual canonical basis

Philipp Lampe

arxiv:1101.0580 v3 · 2011-01-03 · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MLHW5553BE4RRHN72457KXVMEL}

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 2026-05-18T02:23:05.687960Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

62cf6ef7bb0939189dbfd73bf55eac22df66f7f227a0ec0b1f7d18b7873b93db

Aliases

arxiv: 1101.0580 · arxiv_version: 1101.0580v3 · doi: 10.48550/arxiv.1101.0580 · pith_short_12: MLHW5553BE4R · pith_short_16: MLHW5553BE4RRHN7 · pith_short_8: MLHW5553
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MLHW5553BE4RRHN72457KXVMEL \
  | 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: 62cf6ef7bb0939189dbfd73bf55eac22df66f7f227a0ec0b1f7d18b7873b93db
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b2a7785d6781098d91124f7e2979966ed5f74793de32588c1167fb1ffe6d6a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-03T19:15:35Z",
    "title_canon_sha256": "62cc01235cdc28f2a6e13451fcfcc5a93dbfa7b8416d6d909d21317a44670399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0580",
    "kind": "arxiv",
    "version": 3
  }
}