pith. sign in
Pith Number

pith:ZDMJKGAK

pith:2005:ZDMJKGAKQ2YHEUG55WB2322SEF
not attested not anchored not stored refs pending

Leibniz superalgebras graded by finite root systems

and Linsheng Zhu, Dong Liu, Naihong Hu

arxiv:math/0510544 v2 · 2005-10-26 · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZDMJKGAKQ2YHEUG55WB2322SEF}

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 2026-05-18T03:47:10.523905Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8d895180a86b07250dded83adeb52217ef13e3ec2a1fc9967a48827dcfb9563

Aliases

arxiv: math/0510544 · arxiv_version: math/0510544v2 · doi: 10.48550/arxiv.math/0510544 · pith_short_12: ZDMJKGAKQ2YH · pith_short_16: ZDMJKGAKQ2YHEUG5 · pith_short_8: ZDMJKGAK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZDMJKGAKQ2YHEUG55WB2322SEF \
  | 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: c8d895180a86b07250dded83adeb52217ef13e3ec2a1fc9967a48827dcfb9563
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2ae493b283775d2e022061ee38566bf180a39f5142b8102d3f2fef2fd7ea5576",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2005-10-26T04:35:50Z",
    "title_canon_sha256": "8ca3029c922ec94c85b691124afde9c97f39119bc64c5a360160edb456a9cb5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510544",
    "kind": "arxiv",
    "version": 2
  }
}