Pith Number

pith:LCDE2F4F

pith:2011:LCDE2F4FY5OYEBIUTMIUU7JEER

not attested not anchored not stored refs pending

Lie 2-bialgebras

Chenchang Zhu, Chengming Bai, Yunhe Sheng

arxiv:1109.1344 v4 · 2011-09-07 · math-ph · math.CT · math.MP · 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{LCDE2F4FY5OYEBIUTMIUU7JEER}

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	2026-05-18T03:26:41.373481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58864d1785c75d8205149b114a7d24247b41f3898c7dbba3b5ec2dd66ec3d510

Aliases

arxiv: 1109.1344 · arxiv_version: 1109.1344v4 · doi: 10.48550/arxiv.1109.1344 · pith_short_12: LCDE2F4FY5OY · pith_short_16: LCDE2F4FY5OYEBIU · pith_short_8: LCDE2F4F

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/LCDE2F4FY5OYEBIUTMIUU7JEER \
  | 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: 58864d1785c75d8205149b114a7d24247b41f3898c7dbba3b5ec2dd66ec3d510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf731762360b470e4e42f6254d2d24c576430d1d9e3603bc6e3b0a8bffa1a0c",
    "cross_cats_sorted": [
      "math.CT",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-07T02:59:30Z",
    "title_canon_sha256": "ff87b52cd81c7d10eea70aaf00a3177555f9259e1b3b8919a763237b29a9c042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1344",
    "kind": "arxiv",
    "version": 4
  }
}