Pith Number

pith:Z65S7YGJ

pith:2002:Z65S7YGJJPPWY72IGYY3MU5JZT

not attested not anchored not stored refs pending

Cluster algebras II: Finite type classification

Andrei Zelevinsky, Sergey Fomin

arxiv:math/0208229 v2 · 2002-08-29 · math.RA · math.AG · 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{Z65S7YGJJPPWY72IGYY3MU5JZT}

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.

Cited by

2 papers in Pith

Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

Receipt and verification

First computed	2026-05-18T01:38:29.430639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfbb2fe0c94bdf6c7f483631b653a9ccf67842dc7a7afc1078e53c6b2e2b7f77

Aliases

arxiv: math/0208229 · arxiv_version: math/0208229v2 · doi: 10.48550/arxiv.math/0208229 · pith_short_12: Z65S7YGJJPPW · pith_short_16: Z65S7YGJJPPWY72I · pith_short_8: Z65S7YGJ

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/Z65S7YGJJPPWY72IGYY3MU5JZT \
  | 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: cfbb2fe0c94bdf6c7f483631b653a9ccf67842dc7a7afc1078e53c6b2e2b7f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48ab86049dd59b5593e66ff1d6711b1a12f6a4a09f0739852f6085013874a59",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2002-08-29T02:24:52Z",
    "title_canon_sha256": "a22716a3af98b6598aaf8a0f956666686d696446d59e2216340221289b783085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208229",
    "kind": "arxiv",
    "version": 2
  }
}