Pith Number

pith:XJHN3UYU

pith:2017:XJHN3UYUACLEUYGF7QVODEML5Z

not attested not anchored not stored refs pending

Positivity of denominator vectors of cluster algebras

Fang Li, Peigen Cao

arxiv:1712.06975 v1 · 2017-12-15 · math.RT · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJHN3UYUACLEUYGF7QVODEML5Z}

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	2026-05-18T00:27:37.566699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4eddd31400964a60c5fc2ae1918bee42a99fdac6b8243eb19e59e6ddd1618f

Aliases

arxiv: 1712.06975 · arxiv_version: 1712.06975v1 · doi: 10.48550/arxiv.1712.06975 · pith_short_12: XJHN3UYUACLE · pith_short_16: XJHN3UYUACLEUYGF · pith_short_8: XJHN3UYU

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/XJHN3UYUACLEUYGF7QVODEML5Z \
  | 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: ba4eddd31400964a60c5fc2ae1918bee42a99fdac6b8243eb19e59e6ddd1618f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a985b77f967f4fdfa9a0937e5eeb314e0516ebf81763b91192762cd8370e97b9",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-15T22:41:13Z",
    "title_canon_sha256": "d442b6b0a292ec1bd090c9b443f06b3e7873990c2c8d58a09d143fa80e86e91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06975",
    "kind": "arxiv",
    "version": 1
  }
}