Pith Number

pith:PC5VPD4H

pith:2015:PC5VPD4HG5PATH4XKI7OYQKTE5

not attested not anchored not stored refs pending

On Structure of cluster algebras of geometric type I: In view of sub-seeds and seed homomorphisms

Fang Li, Min Huang, Yichao Yang

arxiv:1509.01050 v4 · 2015-09-03 · math.RA · math.AC · 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{PC5VPD4HG5PATH4XKI7OYQKTE5}

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	2026-05-18T01:08:32.494379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bb578f87375e099f97523eec4153277f7a3bca6bd098927c537c0de8513a6a

Aliases

arxiv: 1509.01050 · arxiv_version: 1509.01050v4 · doi: 10.48550/arxiv.1509.01050 · pith_short_12: PC5VPD4HG5PA · pith_short_16: PC5VPD4HG5PATH4X · pith_short_8: PC5VPD4H

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/PC5VPD4HG5PATH4XKI7OYQKTE5 \
  | 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: 78bb578f87375e099f97523eec4153277f7a3bca6bd098927c537c0de8513a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082d358b2417b5c19594543ee2e74778fcab51cf405b152f5f78151b449b1ee1",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-03T12:09:10Z",
    "title_canon_sha256": "dbb37a6b10e299c94b9ba2baee9c1e675e954b2bd712189de1c2153c57be16be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01050",
    "kind": "arxiv",
    "version": 4
  }
}