Pith Number

pith:LWWW4KR5

pith:2016:LWWW4KR5SPKTO5E75EUPBIHIOM

not attested not anchored not stored refs pending

Universal enveloping algebras and Poincar\'e-Birkhoff-Witt theorem for involutive Hom-Lie algebras

Bin Zhang, Li Guo, Shanghua Zheng

arxiv:1607.05973 v1 · 2016-07-20 · 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{LWWW4KR5SPKTO5E75EUPBIHIOM}

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	2026-05-18T00:19:59.462667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dad6e2a3d93d537749fe928f0a0e87329822f2b7a9f0e4f250821d642b98286

Aliases

arxiv: 1607.05973 · arxiv_version: 1607.05973v1 · doi: 10.48550/arxiv.1607.05973 · pith_short_12: LWWW4KR5SPKT · pith_short_16: LWWW4KR5SPKTO5E7 · pith_short_8: LWWW4KR5

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/LWWW4KR5SPKTO5E75EUPBIHIOM \
  | 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: 5dad6e2a3d93d537749fe928f0a0e87329822f2b7a9f0e4f250821d642b98286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "087f561d1dd32caff869f4a4bc360fd3c85e959585215b9875476870648aff3d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-07-20T14:29:03Z",
    "title_canon_sha256": "1821b3cd718e914b022bbd4f888521d323a5baf64207a6960ea03d79086db502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05973",
    "kind": "arxiv",
    "version": 1
  }
}