pith. sign in
Pith Number

pith:CX5KRIT4

pith:2015:CX5KRIT42BHYHPRUOUPAAFDLRW
not attested not anchored not stored refs pending

Group gradings on the Lie and Jordan superalgebras $Q(n)$

Caio De Naday Hornhardt, Helen Samara Dos Santos, Mikhail Kochetov, Yuri Bahturin

arxiv:1509.05275 v2 · 2015-09-17 · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CX5KRIT42BHYHPRUOUPAAFDLRW}

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 2026-05-18T01:32:20.578518Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

15faa8a27cd04f83be34751e00146b8d83cca9df9a320e6dc0e31e231da576ad

Aliases

arxiv: 1509.05275 · arxiv_version: 1509.05275v2 · doi: 10.48550/arxiv.1509.05275 · pith_short_12: CX5KRIT42BHY · pith_short_16: CX5KRIT42BHYHPRU · pith_short_8: CX5KRIT4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CX5KRIT42BHYHPRUOUPAAFDLRW \
  | 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: 15faa8a27cd04f83be34751e00146b8d83cca9df9a320e6dc0e31e231da576ad
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "da8befa7531a33b07a9dd79aa03d8e687aefff77ef7f5a2db03a857a0e165af4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-17T14:55:10Z",
    "title_canon_sha256": "f2cb9a179e2bacf1eec4b78dc869a5ffb136636daee0859834032a6e8585caae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05275",
    "kind": "arxiv",
    "version": 2
  }
}