Pith Number

pith:TUV62RFK

pith:2026:TUV62RFK7SYS6ALO2QHQ33DT5Q

not attested not anchored not stored refs pending

On Two Approaches to Cluster Structures on Partial Flag Varieties

Fayadh Kadhem

arxiv:2606.23474 v1 · 2026-06-22 · math.AC · math.AG · math.CO · 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{TUV62RFK7SYS6ALO2QHQ33DT5Q}

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	2026-06-23T03:14:20.884527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d2bed44aafcb12f016ed40f0dec73ec0a4ffbb7416e02702809c4f399d3f08e

Aliases

arxiv: 2606.23474 · arxiv_version: 2606.23474v1 · doi: 10.48550/arxiv.2606.23474 · pith_short_12: TUV62RFK7SYS · pith_short_16: TUV62RFK7SYS6ALO · pith_short_8: TUV62RFK

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/TUV62RFK7SYS6ALO2QHQ33DT5Q \
  | 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: 9d2bed44aafcb12f016ed40f0dec73ec0a4ffbb7416e02702809c4f399d3f08e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992c198759d2cdb82dee5d24dc87ba0e832370294df93decf36efee6f50ee5fd",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-22T15:19:03Z",
    "title_canon_sha256": "fff10d2e56338800b240ec282cf08bb2b3d1affb50420afeeccc93e300437a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23474",
    "kind": "arxiv",
    "version": 1
  }
}