Pith Number

pith:ZPWI3Y4X

pith:2024:ZPWI3Y4XRAKTFFBUFWQFKYGU4X

not attested not anchored not stored refs pending

Rota-Baxter operators, differential operators, pre- and Novikov structures on groups and Lie algebras

Li Guo, Xing Gao, Yi Zhang, Zongjian Han

arxiv:2408.06096 v2 · 2024-08-12 · math.QA · math.GR · 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{ZPWI3Y4XRAKTFFBUFWQFKYGU4X}

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

Averaging operators on groups and Hopf algebras

Receipt and verification

First computed	2026-07-05T08:55:23.940945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbec8de39788153294342da05560d4e5ef060f1cbf5130e90495fdac5920c66b

Aliases

arxiv: 2408.06096 · arxiv_version: 2408.06096v2 · doi: 10.48550/arxiv.2408.06096 · pith_short_12: ZPWI3Y4XRAKT · pith_short_16: ZPWI3Y4XRAKTFFBU · pith_short_8: ZPWI3Y4X

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/ZPWI3Y4XRAKTFFBUFWQFKYGU4X \
  | 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: cbec8de39788153294342da05560d4e5ef060f1cbf5130e90495fdac5920c66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b94bd737af9e055df699db4236507d81d51e707e994bdda8c1761eb8e9d5294f",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-08-12T12:29:37Z",
    "title_canon_sha256": "eeb2fef8be9b0a9e5d49246aea8d3cb92c4b50b23d968f0bcef46a30d2de38ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06096",
    "kind": "arxiv",
    "version": 2
  }
}