Pith Number

pith:OECKNY4A

pith:2025:OECKNY4AACPJU654P7RAXIMLIK

not attested not anchored not stored refs pending

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8)

Jin Xing Zhao, Rui Zhi Tang, Wen Ting Zhang

arxiv:2507.18432 v1 · 2025-07-24 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OECKNY4AACPJU654P7RAXIMLIK}

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	2026-07-05T11:42:47.865774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7104a6e380009e9a7bbc7fe20ba18b429633a960207ea3f6a2b7fade6b9f5618

Aliases

arxiv: 2507.18432 · arxiv_version: 2507.18432v1 · doi: 10.48550/arxiv.2507.18432 · pith_short_12: OECKNY4AACPJ · pith_short_16: OECKNY4AACPJU654 · pith_short_8: OECKNY4A

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/OECKNY4AACPJU654P7RAXIMLIK \
  | 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: 7104a6e380009e9a7bbc7fe20ba18b429633a960207ea3f6a2b7fade6b9f5618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b85b51bd29bc5110874be0fb48b2132a68d3177ef4890de42ef5ea44a416e7c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-24T14:10:18Z",
    "title_canon_sha256": "9b9e0dc6cc2624959510a9a7ba92d61873ea01ceb6a9a44ea8235ae5e9875a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18432",
    "kind": "arxiv",
    "version": 1
  }
}