Pith Number

pith:TNGYGBN7

pith:2012:TNGYGBN7WNFLUMUHUXECJRZVXS

not attested not anchored not stored refs pending

Split abelian chief factors and first degree cohomology for Lie algebras

J\"org Feldvoss, Salvatore Siciliano, Thomas Weigel

arxiv:1206.3669 v2 · 2012-06-16 · math.RA · 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{TNGYGBN7WNFLUMUHUXECJRZVXS}

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	2026-05-18T02:48:10.191383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4d8305bfb34aba3287a5c824c735bc8330d8ff6ebd5b187ed01cd3e33f68e8

Aliases

arxiv: 1206.3669 · arxiv_version: 1206.3669v2 · doi: 10.48550/arxiv.1206.3669 · pith_short_12: TNGYGBN7WNFL · pith_short_16: TNGYGBN7WNFLUMUH · pith_short_8: TNGYGBN7

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/TNGYGBN7WNFLUMUHUXECJRZVXS \
  | 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: 9b4d8305bfb34aba3287a5c824c735bc8330d8ff6ebd5b187ed01cd3e33f68e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "731c56587d13a3116075ba142ff2cfab92f41fbfbbdde6d1a9deb029fc3d586e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-16T14:32:04Z",
    "title_canon_sha256": "18733cafebc7a31d5e0e4d2b1f9988de4c7c92d823fbc813771b814ebd39b18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3669",
    "kind": "arxiv",
    "version": 2
  }
}