Pith Number

pith:TFWKNLP5

pith:2010:TFWKNLP5NZLRCS2LCFWQ2H5IXL

not attested not anchored not stored refs pending

Enveloping algebras of the nilpotent Malcev algebra of dimension five

Hamid Usefi, Murray R. Bremner

arxiv:1008.2728 v1 · 2010-08-16 · math.RA · math-ph · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFWKNLP5NZLRCS2LCFWQ2H5IXL}

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	2026-05-18T04:42:12.688557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

996ca6adfd6e57114b4b116d0d1fa8baf064b0ddfa03ca87fc4c2bd866843baa

Aliases

arxiv: 1008.2728 · arxiv_version: 1008.2728v1 · doi: 10.48550/arxiv.1008.2728 · pith_short_12: TFWKNLP5NZLR · pith_short_16: TFWKNLP5NZLRCS2L · pith_short_8: TFWKNLP5

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/TFWKNLP5NZLRCS2LCFWQ2H5IXL \
  | 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: 996ca6adfd6e57114b4b116d0d1fa8baf064b0ddfa03ca87fc4c2bd866843baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9bd664b3a23802d1dac22185f90e0422a8ba096f4341b260332d9bee2a5e0e0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-08-16T18:09:56Z",
    "title_canon_sha256": "af4e9fd97b059751600cf8c0c948bea03325dbf6185d01c548fcc836a6d4b5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2728",
    "kind": "arxiv",
    "version": 1
  }
}