Pith Number

pith:B5KSZ7T3

pith:2023:B5KSZ7T3447QAB6BFJS2M3KDEI

not attested not anchored not stored refs pending

Newton-Okounkov polytopes of type $A$ flag varieties of small ranks arising from cluster structures

Akihiro Higashitani, Eunjeong Lee, Naoki Fujita, Yunhyung Cho

arxiv:2310.06477 v1 · 2023-10-10 · math.AG · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5KSZ7T3447QAB6BFJS2M3KDEI}

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	2026-07-05T06:59:12.127438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f552cfe7be73f0007c12a65a66d43221cb9ac706d45ba75fe7692f3481f8235

Aliases

arxiv: 2310.06477 · arxiv_version: 2310.06477v1 · doi: 10.48550/arxiv.2310.06477 · pith_short_12: B5KSZ7T3447Q · pith_short_16: B5KSZ7T3447QAB6B · pith_short_8: B5KSZ7T3

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/B5KSZ7T3447QAB6BFJS2M3KDEI \
  | 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: 0f552cfe7be73f0007c12a65a66d43221cb9ac706d45ba75fe7692f3481f8235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a3ddf0f07669a14cdad281ab056aa38d469f912476c702b6f0a5a006600d85",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-10-10T09:47:07Z",
    "title_canon_sha256": "26f2da3b07051c9c7afc130359a32c416945e6023693be529d17e7bf80575ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06477",
    "kind": "arxiv",
    "version": 1
  }
}