Pith Number

pith:BIM4JMFX

pith:2007:BIM4JMFXA7JS3QDQ7H7773VCGI

not attested not anchored not stored refs pending

Lie Rinehart Bialgebras for Crossed Products

D.-S. Zhong, Z. Chen, Z.-J. Liu

arxiv:0710.3908 v2 · 2007-10-21 · math.AC · 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{BIM4JMFXA7JS3QDQ7H7773VCGI}

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	2026-07-04T15:11:45.442621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a19c4b0b707d32dc070f9ffffeea2320343b47a3ff723411193cefc6b75319d

Aliases

arxiv: 0710.3908 · arxiv_version: 0710.3908v2 · doi: 10.48550/arxiv.0710.3908 · pith_short_12: BIM4JMFXA7JS · pith_short_16: BIM4JMFXA7JS3QDQ · pith_short_8: BIM4JMFX

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/BIM4JMFXA7JS3QDQ7H7773VCGI \
  | 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: 0a19c4b0b707d32dc070f9ffffeea2320343b47a3ff723411193cefc6b75319d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1ccca9ad23ee0e2927024d9e7bcf251a030d6af3054818798666fba2657599",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-10-21T06:28:49Z",
    "title_canon_sha256": "da1e72252270d27a366671261ab523dfb3a4448a9bbfeb03a8a3b2cbab9aa068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3908",
    "kind": "arxiv",
    "version": 2
  }
}