Pith Number

pith:PZQZYWQE

pith:2015:PZQZYWQEW3YA7DG3B6YWKP2IL7

not attested not anchored not stored refs pending

On Lie-central extensions of Leibniz algebras

E. Khmaladze, J. M. Casas

arxiv:1504.02639 v3 · 2015-04-10 · 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{PZQZYWQEW3YA7DG3B6YWKP2IL7}

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	2026-05-18T01:27:23.959178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e619c5a04b6f00f8cdb0fb1653f485fdaa7f9c2acce54bcd7a9008d9d03b5cf

Aliases

arxiv: 1504.02639 · arxiv_version: 1504.02639v3 · doi: 10.48550/arxiv.1504.02639 · pith_short_12: PZQZYWQEW3YA · pith_short_16: PZQZYWQEW3YA7DG3 · pith_short_8: PZQZYWQE

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/PZQZYWQEW3YA7DG3B6YWKP2IL7 \
  | 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: 7e619c5a04b6f00f8cdb0fb1653f485fdaa7f9c2acce54bcd7a9008d9d03b5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea6df55c4dc89c1981605d71f4dc76bbc442b7b1ea4cecc14936a6470424c2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-04-10T11:24:29Z",
    "title_canon_sha256": "0d0afc23840391360e9e01ed71b46d5c2ff8670c7d68d306d415ca4b5f0cb64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02639",
    "kind": "arxiv",
    "version": 3
  }
}