pith. sign in
Pith Number

pith:FU3U5MWU

pith:2014:FU3U5MWUVGHHJJCWSA2ORWKJE4
not attested not anchored not stored refs pending

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II. Unipotent classes in symplectic groups

Gast\'on Andr\'es Garc\'ia, Giovanna Carnovale, Nicol\'as Andruskiewitsch

arxiv:1412.7397 v1 · 2014-12-23 · math.QA · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FU3U5MWUVGHHJJCWSA2ORWKJE4}

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 2026-05-18T02:16:20.449296Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d374eb2d4a98e74a4569034e8d94927199c3faa9dd85fac0cef25637a99997f

Aliases

arxiv: 1412.7397 · arxiv_version: 1412.7397v1 · doi: 10.48550/arxiv.1412.7397 · pith_short_12: FU3U5MWUVGHH · pith_short_16: FU3U5MWUVGHHJJCW · pith_short_8: FU3U5MWU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FU3U5MWUVGHHJJCWSA2ORWKJE4 \
  | 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: 2d374eb2d4a98e74a4569034e8d94927199c3faa9dd85fac0cef25637a99997f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "74cf0b26944df37b14005e1fdaa2a1d97feceeec925b6e548246f34025cca217",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-12-23T15:10:41Z",
    "title_canon_sha256": "d0a753b221de837867b62e47f876144bed0fcc16fdf35df70fa6a4e3678dbb37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7397",
    "kind": "arxiv",
    "version": 1
  }
}