Pith Number

pith:XL7L2GCD

pith:2009:XL7L2GCDUAGZMYYSBZPTTVBG6X

not attested not anchored not stored refs pending

On cohomology of split Lie algebra extensions

Dieter Degrijse, Nansen Petrosyan

arxiv:0911.0545 v2 · 2009-11-03 · math.AT · 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{XL7L2GCDUAGZMYYSBZPTTVBG6X}

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	2026-05-18T04:19:33.573447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafebd1843a00d9663120e5f39d426f5dbe3fc0f75cb949b9c6b867f8eb8bef8

Aliases

arxiv: 0911.0545 · arxiv_version: 0911.0545v2 · doi: 10.48550/arxiv.0911.0545 · pith_short_12: XL7L2GCDUAGZ · pith_short_16: XL7L2GCDUAGZMYYS · pith_short_8: XL7L2GCD

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/XL7L2GCDUAGZMYYSBZPTTVBG6X \
  | 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: bafebd1843a00d9663120e5f39d426f5dbe3fc0f75cb949b9c6b867f8eb8bef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9770c48511f07cbb143c47c5a8b0abfb513d682866e96b5a8d14141ce53b3f04",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-11-03T10:49:01Z",
    "title_canon_sha256": "513534bbf805b92c850195339fd176b4f43f64f60954a6b5c909de7a7da3ce41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0545",
    "kind": "arxiv",
    "version": 2
  }
}