Pith Number

pith:7NUOTZ5B

pith:2023:7NUOTZ5BPMVKIZALMLZHXEQZNE

not attested not anchored not stored refs pending

Compatible structures of operads by polarization, their Koszul duality and Manin products

Huhu Zhang, Li Guo, Xing Gao

arxiv:2311.11394 v2 · 2023-11-19 · math.CT · math.QA · 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{7NUOTZ5BPMVKIZALMLZHXEQZNE}

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

Nijenhuis pre-Lie bialgebras, Nijenhuis Lie bialgebras and \sss-equation

Receipt and verification

First computed	2026-07-05T08:55:21.153346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb68e9e7a17b2aa4640b62f27b9219690bbc1c1165a4cfb72ac22a40067fd2ea

Aliases

arxiv: 2311.11394 · arxiv_version: 2311.11394v2 · doi: 10.48550/arxiv.2311.11394 · pith_short_12: 7NUOTZ5BPMVK · pith_short_16: 7NUOTZ5BPMVKIZAL · pith_short_8: 7NUOTZ5B

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/7NUOTZ5BPMVKIZALMLZHXEQZNE \
  | 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: fb68e9e7a17b2aa4640b62f27b9219690bbc1c1165a4cfb72ac22a40067fd2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7acbdf2ccedd15edbbff944dd4b3115fd3b29f19c3bc3884480fecf46af21003",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-11-19T18:39:46Z",
    "title_canon_sha256": "78f2d4a29730050590d404f7ed7a1d11b76ce243745966ff9d74400520ac4896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.11394",
    "kind": "arxiv",
    "version": 2
  }
}