Pith Number

pith:HKBJU4QL

pith:2025:HKBJU4QLYZM5U66JHYQN3AQRLN

not attested not anchored not stored refs pending

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups

Chengming Bai, Dilei Lu, Li Guo

arxiv:2502.04954 v1 · 2025-02-07 · math.QA · math.DG · math.RA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKBJU4QLYZM5U66JHYQN3AQRLN}

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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

Inner post-Lie algebras and inner post-groups

Receipt and verification

First computed	2026-07-05T10:11:00.266439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a829a720bc659da7bc93e20dd82115b6854a6d0bc634dab4d6fe407efa2efea

Aliases

arxiv: 2502.04954 · arxiv_version: 2502.04954v1 · doi: 10.48550/arxiv.2502.04954 · pith_short_12: HKBJU4QLYZM5 · pith_short_16: HKBJU4QLYZM5U66J · pith_short_8: HKBJU4QL

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/HKBJU4QLYZM5U66JHYQN3AQRLN \
  | 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: 3a829a720bc659da7bc93e20dd82115b6854a6d0bc634dab4d6fe407efa2efea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d7dc3c0815ac2ca9dcca7f974ffd40bf5fd872646ab6bc5f9f7e53e61087ac",
    "cross_cats_sorted": [
      "math.DG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-02-07T14:20:28Z",
    "title_canon_sha256": "2d837aef0392cb665ea1521d30bbf43d9d15efa9d7521f7dc41edc35bbd2bdba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04954",
    "kind": "arxiv",
    "version": 1
  }
}