Pith Number

pith:KJO2JNSN

pith:2009:KJO2JNSN6V7WNZHNZZ57DELBML

not attested not anchored not stored refs pending

Commutative 2-cocycles on Lie algebras

Askar Dzhumadil'daev, Pasha Zusmanovich

arxiv:0907.4780 v7 · 2009-07-27 · 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{KJO2JNSN6V7WNZHNZZ57DELBML}

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	2026-05-18T00:17:13.868939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

525da4b64df57f66e4edce7bf1916162d9d83e2da85a90107b9c691e54fa2efd

Aliases

arxiv: 0907.4780 · arxiv_version: 0907.4780v7 · doi: 10.48550/arxiv.0907.4780 · pith_short_12: KJO2JNSN6V7W · pith_short_16: KJO2JNSN6V7WNZHN · pith_short_8: KJO2JNSN

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/KJO2JNSN6V7WNZHNZZ57DELBML \
  | 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: 525da4b64df57f66e4edce7bf1916162d9d83e2da85a90107b9c691e54fa2efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e92bde495812a817f0142d53db305af007b1cfb6c6d39d9fb640ba41f07f35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-07-27T21:46:41Z",
    "title_canon_sha256": "fa4864e038b69b3f8c691db9d4e1e5969ab5e5bdf7d3248888870d7f64939355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4780",
    "kind": "arxiv",
    "version": 7
  }
}