Pith Number

pith:G3OSUE7L

pith:2009:G3OSUE7LUKRMUEW3GYFIROYYK4

not attested not anchored not stored refs pending

Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix

Alexei Lebedev, Dimitry Leites, Pavel Grozman, Sofiane Bouarroudj

arxiv:0911.0243 v1 · 2009-11-02 · 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{G3OSUE7LUKRMUEW3GYFIROYYK4}

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	2026-05-18T03:44:58.009200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36dd2a13eba2a2ca12db360a88bb18570b3dd802773506fbbde63f7c7309b2cd

Aliases

arxiv: 0911.0243 · arxiv_version: 0911.0243v1 · doi: 10.48550/arxiv.0911.0243 · pith_short_12: G3OSUE7LUKRM · pith_short_16: G3OSUE7LUKRMUEW3 · pith_short_8: G3OSUE7L

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/G3OSUE7LUKRMUEW3GYFIROYYK4 \
  | 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: 36dd2a13eba2a2ca12db360a88bb18570b3dd802773506fbbde63f7c7309b2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f5aecfeb43d0217391c2aef1c946d078f867397cb79844f6618690ddd5a81a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-11-02T05:58:24Z",
    "title_canon_sha256": "a59ebc312a637f0289e9e10d855d067c0535382d4e26fa24faf4dd130842b703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0243",
    "kind": "arxiv",
    "version": 1
  }
}