Pith Number

pith:BXMBOG5Z

pith:2016:BXMBOG5ZMLKTPEEKF5YYOPPUYK

not attested not anchored not stored refs pending

Unfolding of acyclic sign-skew-symmetric cluster algebras and applications to positivity and $F$-polynomials

Fang Li, Min Huang

arxiv:1609.05981 v2 · 2016-09-20 · 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{BXMBOG5ZMLKTPEEKF5YYOPPUYK}

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	2026-05-18T00:56:37.597657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd8171bb962d537908a2f71873df4c2ab5df8f022b64d600104cec31d5c8f9f

Aliases

arxiv: 1609.05981 · arxiv_version: 1609.05981v2 · doi: 10.48550/arxiv.1609.05981 · pith_short_12: BXMBOG5ZMLKT · pith_short_16: BXMBOG5ZMLKTPEEK · pith_short_8: BXMBOG5Z

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/BXMBOG5ZMLKTPEEKF5YYOPPUYK \
  | 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: 0dd8171bb962d537908a2f71873df4c2ab5df8f022b64d600104cec31d5c8f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7aca8debac88a89c20f8b5cdae5e9e5fd14aab4fb31c74f3b9c635f15d2f0bd",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-09-20T01:06:44Z",
    "title_canon_sha256": "1ce437eaa11a2b6fe786020f1bba892852b44524427868388b325a28a8966b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05981",
    "kind": "arxiv",
    "version": 2
  }
}