Pith Number

pith:WPWJXNVO

pith:2015:WPWJXNVOZZNUM6PEAID7NB2E7G

not attested not anchored not stored refs pending

Cluster automorphism groups and automorphism groups of exchange graphs

Bin Zhu, Wen Chang

arxiv:1506.02029 v3 · 2015-06-05 · 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{WPWJXNVOZZNUM6PEAID7NB2E7G}

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

1 paper in Pith

A conjecture on cluster automorphisms of cluster algebras

Receipt and verification

First computed	2026-07-05T01:33:56.444560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ec9bb6aece5b4679e40207f68744f98642ee4e1413b92437efff08b73b158c

Aliases

arxiv: 1506.02029 · arxiv_version: 1506.02029v3 · doi: 10.48550/arxiv.1506.02029 · pith_short_12: WPWJXNVOZZNU · pith_short_16: WPWJXNVOZZNUM6PE · pith_short_8: WPWJXNVO

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/WPWJXNVOZZNUM6PEAID7NB2E7G \
  | 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: b3ec9bb6aece5b4679e40207f68744f98642ee4e1413b92437efff08b73b158c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2670a52f85a73e1b421055b5d2ad1611502f07fa989608451e94ad060e9d4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-06-05T16:02:06Z",
    "title_canon_sha256": "1da497895d0eca91e82dc163fdc2bbda5a137d7939046093dc359000f0e4c0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02029",
    "kind": "arxiv",
    "version": 3
  }
}