pith. sign in
Pith Number

pith:V4XVRMIS

pith:2016:V4XVRMISTP64WW4PBZK3JZ3VOU
not attested not anchored not stored refs pending

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type IV. Unipotent classes in Chevalley and Steinberg groups

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

arxiv:1612.07964 v1 · 2016-12-23 · math.QA · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V4XVRMISTP64WW4PBZK3JZ3VOU}

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 2026-05-18T00:54:05.200577Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

af2f58b1129bfdcb5b8f0e55b4e77575031ebb09bf38f72f15880d1ab67dc748

Aliases

arxiv: 1612.07964 · arxiv_version: 1612.07964v1 · doi: 10.48550/arxiv.1612.07964 · pith_short_12: V4XVRMISTP64 · pith_short_16: V4XVRMISTP64WW4P · pith_short_8: V4XVRMIS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V4XVRMISTP64WW4PBZK3JZ3VOU \
  | 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: af2f58b1129bfdcb5b8f0e55b4e77575031ebb09bf38f72f15880d1ab67dc748
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3f4d27dc046a390b1296f9769616e8f35cffbca5be27183e9bc5410a30bab235",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-23T13:26:56Z",
    "title_canon_sha256": "88d89f3f6a8ec2d6b6455e6f4755a056d5b07f2560a90ca9893066d205b95051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07964",
    "kind": "arxiv",
    "version": 1
  }
}