Pith Number

pith:B52Z3HNK

pith:2026:B52Z3HNKXFRHAJCVSOPTY46KCC

not attested not anchored not stored refs pending

$A$-Generalized Hessian pre-Lie algebras and $A$-Generalized Yang--Baxter Equations

Liangyun Chen, Yining Sun, Zeyu Hao, Ziyi Zhang

arxiv:2606.04041 v1 · 2026-06-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B52Z3HNKXFRHAJCVSOPTY46KCC}

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	2026-06-04T00:06:45.070650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f759d9daab962702455939f3c73ca10bbdd0f359ebdc18e6c351935460009f3

Aliases

arxiv: 2606.04041 · arxiv_version: 2606.04041v1 · doi: 10.48550/arxiv.2606.04041 · pith_short_12: B52Z3HNKXFRH · pith_short_16: B52Z3HNKXFRHAJCV · pith_short_8: B52Z3HNK

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/B52Z3HNKXFRHAJCVSOPTY46KCC \
  | 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: 0f759d9daab962702455939f3c73ca10bbdd0f359ebdc18e6c351935460009f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ef6252b8f481e983a9a69f9b641224b574fc7b53f2ba34d8899b78395c05cf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-02T04:21:22Z",
    "title_canon_sha256": "4c890f340173826c7787d9c5ff8115f1b4dcdffb9a3c7bbbb825a5c08bef8144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04041",
    "kind": "arxiv",
    "version": 1
  }
}