Pith Number

pith:VPOGIWSQ

pith:2011:VPOGIWSQ5TBIPX2BWVHHBMQG3T

not attested not anchored not stored refs pending

Jacobson's Refinement of Engel's Theorem for Leibniz Algebras

Allison McAlister, J.T. Hird, Kristen Stagg, Lindsey Bosko, Nathaniel Schwartz

arxiv:1101.2438 v2 · 2011-01-12 · 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{VPOGIWSQ5TBIPX2BWVHHBMQG3T}

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	2026-05-18T04:18:34.566913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdc645a50ecc287df41b54e70b206dcdea1295391e5f7b64f02ff069c904d59

Aliases

arxiv: 1101.2438 · arxiv_version: 1101.2438v2 · doi: 10.48550/arxiv.1101.2438 · pith_short_12: VPOGIWSQ5TBI · pith_short_16: VPOGIWSQ5TBIPX2B · pith_short_8: VPOGIWSQ

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/VPOGIWSQ5TBIPX2BWVHHBMQG3T \
  | 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: abdc645a50ecc287df41b54e70b206dcdea1295391e5f7b64f02ff069c904d59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f223158bd282c5d39c188f09417c6639115b12866e9e6f97d1bf2e16f8b6ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-12T20:24:35Z",
    "title_canon_sha256": "109cf72fa520b222af5655f0b7ebf1cc4fc994cc9d6e3a25b94a2e686151bfc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2438",
    "kind": "arxiv",
    "version": 2
  }
}