Pith Number

pith:3K7265TE

pith:2024:3K7265TERT3TGPXTIYDW3MYUH4

not attested not anchored not stored refs pending

Cluster structures on Cox rings

Luca Francone

arxiv:2412.04173 v1 · 2024-12-05 · math.AG · math.AC · 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{3K7265TERT3TGPXTIYDW3MYUH4}

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	2026-07-05T09:45:00.509431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dabfaf76648cf7333ef346076db3143f3371bad969c11ff20ccfb30b0f9bc384

Aliases

arxiv: 2412.04173 · arxiv_version: 2412.04173v1 · doi: 10.48550/arxiv.2412.04173 · pith_short_12: 3K7265TERT3T · pith_short_16: 3K7265TERT3TGPXT · pith_short_8: 3K7265TE

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/3K7265TERT3TGPXTIYDW3MYUH4 \
  | 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: dabfaf76648cf7333ef346076db3143f3371bad969c11ff20ccfb30b0f9bc384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ba65824bcd612f2d413aba35392ac83c833d5d8a87c5aa4c2df1a1d59172d3",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-05T14:09:49Z",
    "title_canon_sha256": "fa52d95fa014df8427c8b6100174f784761cc3f0c2814cec6c6510b5d482a48f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04173",
    "kind": "arxiv",
    "version": 1
  }
}