Pith Number

pith:FVPCCKVM

pith:2025:FVPCCKVMEDUL7I74FPQFFC25CR

not attested not anchored not stored refs pending

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions

Keiichi Shigechi

arxiv:2507.23460 v1 · 2025-07-31 · math.CO · cond-mat.stat-mech · math-ph · math.MP · 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{FVPCCKVMEDUL7I74FPQFFC25CR}

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	2026-07-05T11:46:12.959053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d5e212aac20e8bfa3fc2be0528b5d145c9d6b82dec1481cf6659d86e4ad0a2b

Aliases

arxiv: 2507.23460 · arxiv_version: 2507.23460v1 · doi: 10.48550/arxiv.2507.23460 · pith_short_12: FVPCCKVMEDUL · pith_short_16: FVPCCKVMEDUL7I74 · pith_short_8: FVPCCKVM

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/FVPCCKVMEDUL7I74FPQFFC25CR \
  | 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: 2d5e212aac20e8bfa3fc2be0528b5d145c9d6b82dec1481cf6659d86e4ad0a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602e5688aeaa989528399fe3c8902e82a828607fc7282d938b024a6b30091983",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-31T11:37:35Z",
    "title_canon_sha256": "3921d53727091ea85ed97c4403d9e35627f6d85d5863a05bdd9785be009e1380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23460",
    "kind": "arxiv",
    "version": 1
  }
}