Pith Number

pith:QBFCZQCZ

pith:2010:QBFCZQCZJIXC6MBLXBAPQCRDYD

not attested not anchored not stored refs pending

Cluster algebras via cluster categories with infinite-dimensional morphism spaces

Pierre-Guy Plamondon

arxiv:1004.0830 v2 · 2010-04-06 · 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{QBFCZQCZJIXC6MBLXBAPQCRDYD}

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	2026-05-17T23:53:36.992255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804a2cc0594a2e2f302bb840f80a23c0e77c3781bbadb6bb854f48c97d42bedf

Aliases

arxiv: 1004.0830 · arxiv_version: 1004.0830v2 · doi: 10.48550/arxiv.1004.0830 · pith_short_12: QBFCZQCZJIXC · pith_short_16: QBFCZQCZJIXC6MBL · pith_short_8: QBFCZQCZ

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/QBFCZQCZJIXC6MBLXBAPQCRDYD \
  | 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: 804a2cc0594a2e2f302bb840f80a23c0e77c3781bbadb6bb854f48c97d42bedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc359055a66462b2330b92ff14044d235b9ffbc0482ef3fd5cc250c502c1decd",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-04-06T11:53:28Z",
    "title_canon_sha256": "228f275fd6e9e8255a958a959981499f6599c51b50a3749f67d80909662734ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0830",
    "kind": "arxiv",
    "version": 2
  }
}