Pith Number

pith:PCM7PHGG

pith:2004:PCM7PHGGDXNQFOUVSN6WSVJBQ4

not attested not anchored not stored refs pending

Cluster algebras of finite type and positive symmetrizable matrices

Andrei Zelevinsky, Christof Geiss, Michael Barot

arxiv:math/0411341 v5 · 2004-11-15 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCM7PHGGDXNQFOUVSN6WSVJBQ4}

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	2026-05-17T23:52:09.640956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7899f79cc61ddb02ba95937d695521871978a0605198fe54699f8de27cf69a48

Aliases

arxiv: math/0411341 · arxiv_version: math/0411341v5 · doi: 10.48550/arxiv.math/0411341 · pith_short_12: PCM7PHGGDXNQ · pith_short_16: PCM7PHGGDXNQFOUV · pith_short_8: PCM7PHGG

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/PCM7PHGGDXNQFOUVSN6WSVJBQ4 \
  | 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: 7899f79cc61ddb02ba95937d695521871978a0605198fe54699f8de27cf69a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c691351ba477620131abda734d0fe67b2e744c775b2c04023dd277039b084e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-11-15T20:23:37Z",
    "title_canon_sha256": "60ffa75849b9159e256a9ae1a25a8afd7fed938afe06f446b1e324fd5c474ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411341",
    "kind": "arxiv",
    "version": 5
  }
}