Pith Number

pith:YXINBDNH

pith:2023:YXINBDNHW5AONHMGFM3CK6RCNS

not attested not anchored not stored refs pending

The minimal monomial lfting of cluster algebras I: branching problems

Luca Francone

arxiv:2310.11808 v2 · 2023-10-18 · math.RT · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXINBDNHW5AONHMGFM3CK6RCNS}

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.

Cited by

1 paper in Pith

Cluster structures on Cox rings

Receipt and verification

First computed	2026-07-05T07:48:00.045352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d0d08da7b740e69d862b36257a226cbcc8d2292d0f0869e1d3f6b2a55589ca

Aliases

arxiv: 2310.11808 · arxiv_version: 2310.11808v2 · doi: 10.48550/arxiv.2310.11808 · pith_short_12: YXINBDNHW5AO · pith_short_16: YXINBDNHW5AONHMG · pith_short_8: YXINBDNH

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/YXINBDNHW5AONHMGFM3CK6RCNS \
  | 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: c5d0d08da7b740e69d862b36257a226cbcc8d2292d0f0869e1d3f6b2a55589ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d869c999989ef4dc63b61f94f157adeda670ad79d62823fa338f47d5fe8c1d38",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-10-18T08:55:43Z",
    "title_canon_sha256": "251074aca9fff1e02201f44fe7e23f2ef3d4bc612cb6ef83a3cf64794f27a753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.11808",
    "kind": "arxiv",
    "version": 2
  }
}