Pith Number

pith:GN4MC4AR

pith:2012:GN4MC4AR7L5ZSBZNHJAGMWMBKW

not attested not anchored not stored refs pending

Quantum frieze patterns in quantum cluster algebras of type A

Gr\'egoire Dupont, Jean-Philippe Burelle

arxiv:1202.1906 v1 · 2012-02-09 · math.QA · math.CO · 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{GN4MC4AR7L5ZSBZNHJAGMWMBKW}

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	2026-05-18T04:02:38.779243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3378c17011fafb99072d3a4066598155a92e0d49d5531a4d49d72cb8cc4ded0b

Aliases

arxiv: 1202.1906 · arxiv_version: 1202.1906v1 · doi: 10.48550/arxiv.1202.1906 · pith_short_12: GN4MC4AR7L5Z · pith_short_16: GN4MC4AR7L5ZSBZN · pith_short_8: GN4MC4AR

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/GN4MC4AR7L5ZSBZNHJAGMWMBKW \
  | 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: 3378c17011fafb99072d3a4066598155a92e0d49d5531a4d49d72cb8cc4ded0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8bd59dc610749157086b062bbd8234257791b756fe5cca98d378a8c26df94e5",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-02-09T08:06:38Z",
    "title_canon_sha256": "6ae0b7f5195ef022389699a98098579fa145cdaa59ade13577847268d2967b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1906",
    "kind": "arxiv",
    "version": 1
  }
}