Pith Number

pith:2VC3CX27

pith:2025:2VC3CX27MLBBW7IG2E4OIU3E5F

not attested not anchored not stored refs pending

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors

Li Guo, Loic Foissy, Xiao-Song Peng, Yi Zhang, Yunzhou Xie

arxiv:2501.07009 v1 · 2025-01-13 · math.CO · math.CT · 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{2VC3CX27MLBBW7IG2E4OIU3E5F}

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

Integro-differential rings on species and derived structures

Receipt and verification

First computed	2026-07-05T10:00:13.693806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d545b15f5f62c21b7d06d138e45364e96d92d9b36d9f6f70c92d39a5c08bd588

Aliases

arxiv: 2501.07009 · arxiv_version: 2501.07009v1 · doi: 10.48550/arxiv.2501.07009 · pith_short_12: 2VC3CX27MLBB · pith_short_16: 2VC3CX27MLBBW7IG · pith_short_8: 2VC3CX27

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/2VC3CX27MLBBW7IG2E4OIU3E5F \
  | 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: d545b15f5f62c21b7d06d138e45364e96d92d9b36d9f6f70c92d39a5c08bd588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1645186408945c6e5ece7a77cf5e713f3b39bd6bd2c2a0563330ab094a439e3d",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-13T02:10:07Z",
    "title_canon_sha256": "fd1ad8b41b5c8a86eac5fa4010da739dbcf82112e6ec292dd3c34d638ae1088f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07009",
    "kind": "arxiv",
    "version": 1
  }
}