Pith Number

pith:KQ5W7FWH

pith:2025:KQ5W7FWHWA5NFEVEOANKSFI5RY

not attested not anchored not stored refs pending

Integro-differential rings on species and derived structures

Huhu Zhang, Li Guo, Markus Rosenkranz, Shilong Zhang, Xing Gao

arxiv:2501.05540 v3 · 2025-01-09 · math.CO · math.CA · 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{KQ5W7FWHWA5NFEVEOANKSFI5RY}

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

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

Receipt and verification

First computed	2026-07-05T10:12:25.065948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

543b6f96c7b03ad292a4701aa9151d8e193c4faf749964c0ccdc60fb64822b1c

Aliases

arxiv: 2501.05540 · arxiv_version: 2501.05540v3 · doi: 10.48550/arxiv.2501.05540 · pith_short_12: KQ5W7FWHWA5N · pith_short_16: KQ5W7FWHWA5NFEVE · pith_short_8: KQ5W7FWH

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/KQ5W7FWHWA5NFEVEOANKSFI5RY \
  | 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: 543b6f96c7b03ad292a4701aa9151d8e193c4faf749964c0ccdc60fb64822b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c74dfc1bec3f12215cef99cffc74988b26655e8b3f963b6d82580cde3b97245",
    "cross_cats_sorted": [
      "math.CA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-09T19:27:14Z",
    "title_canon_sha256": "3acd2ddbf49c7c68efd8f3ccb5ef25893e44eadce161bd93598d0b561750e67f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05540",
    "kind": "arxiv",
    "version": 3
  }
}