Pith Number

pith:7BORRMEU

pith:2026:7BORRMEUHKOQMFNNGD2YAZOPPI

not attested not anchored not stored refs pending

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras

Guilai Liu, Hui Hu, Shanghua Zheng, Yizhen Li

arxiv:2606.08627 v1 · 2026-06-07 · math.RA · 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{7BORRMEUHKOQMFNNGD2YAZOPPI}

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	2026-06-09T01:05:41.832183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85d18b0943a9d0615ad30f58065cf7a1f268e0162fb4e54f1bf59ec25a1e23d

Aliases

arxiv: 2606.08627 · arxiv_version: 2606.08627v1 · doi: 10.48550/arxiv.2606.08627 · pith_short_12: 7BORRMEUHKOQ · pith_short_16: 7BORRMEUHKOQMFNN · pith_short_8: 7BORRMEU

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/7BORRMEUHKOQMFNNGD2YAZOPPI \
  | 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: f85d18b0943a9d0615ad30f58065cf7a1f268e0162fb4e54f1bf59ec25a1e23d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2e541ef4331f468a09164d81ea0f53055dda60514e378964c8701ea9f392d28",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-07T13:37:36Z",
    "title_canon_sha256": "2d67d26b1632c60fce43b47c94264d6df2bf31d24a1e4fa01dba191e0b2372b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08627",
    "kind": "arxiv",
    "version": 1
  }
}