Pith Number

pith:BZ4BLTGE

pith:2017:BZ4BLTGELMBIRPZA6EBZNYW2HR

not attested not anchored not stored refs pending

Introduction to Cluster Algebras. Chapters 4-5

Andrei Zelevinsky, Lauren Williams, Sergey Fomin

arxiv:1707.07190 v3 · 2017-07-22 · math.CO · math.RA · 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{BZ4BLTGELMBIRPZA6EBZNYW2HR}

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

On Two Approaches to Cluster Structures on Partial Flag Varieties

Receipt and verification

First computed	2026-07-05T03:09:41.739695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7815ccc45b0288bf20f10396e2da3c6f3413590d408bdd5fe1adc1c519e9ab

Aliases

arxiv: 1707.07190 · arxiv_version: 1707.07190v3 · doi: 10.48550/arxiv.1707.07190 · pith_short_12: BZ4BLTGELMBI · pith_short_16: BZ4BLTGELMBIRPZA · pith_short_8: BZ4BLTGE

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/BZ4BLTGELMBIRPZA6EBZNYW2HR \
  | 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: 0e7815ccc45b0288bf20f10396e2da3c6f3413590d408bdd5fe1adc1c519e9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb24ce1b81e28718698f7a4022a19a1096c927bfc17ce7fd49aab9e7ee4a3ea",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-22T16:27:28Z",
    "title_canon_sha256": "a53523c31b2a4a96fb4498a646c05c01d1cf0f3d530f0e51df3007cf0976be8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07190",
    "kind": "arxiv",
    "version": 3
  }
}