Pith Number

pith:LSITQXW3

pith:2024:LSITQXW3VWMWMWAJFVBNUJOEJC

not attested not anchored not stored refs pending

Log-concavity of cluster algebras of type $A_n$

Guanhua Huang, Zhe Sun, Zhichao Chen

arxiv:2408.03792 v2 · 2024-08-07 · math.RT · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSITQXW3VWMWMWAJFVBNUJOEJC}

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	2026-07-05T09:23:10.121784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c91385edbad996658092d42da25c448b091a85cf1a0e8217e547704c945e728

Aliases

arxiv: 2408.03792 · arxiv_version: 2408.03792v2 · doi: 10.48550/arxiv.2408.03792 · pith_short_12: LSITQXW3VWMW · pith_short_16: LSITQXW3VWMWMWAJ · pith_short_8: LSITQXW3

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/LSITQXW3VWMWMWAJFVBNUJOEJC \
  | 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: 5c91385edbad996658092d42da25c448b091a85cf1a0e8217e547704c945e728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "596a131fc9f9d82b1c4ffcb99e30ecfe3bfc886c97094054348fd11fc9a935bc",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-08-07T14:17:23Z",
    "title_canon_sha256": "ab73ca1f5d90b2d5d06f1dc4c73214eb66d4b92609b4ecec442cebc4d5df03c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.03792",
    "kind": "arxiv",
    "version": 2
  }
}