Pith. sign in
Pith Number

pith:KI5XMN2E

pith:2012:KI5XMN2EVRMZBGHQCNWAVGWD6U
not attested not anchored not stored refs pending

Geometry of orbit closures for the representations associated to gradings of Lie algebras of types $E_6$, $F_4$ and $G_2$

Jerzy Weyman, Witold Kra\'skiewicz

arxiv:1201.1102 v4 · 2012-01-05 · math.RT · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KI5XMN2EVRMZBGHQCNWAVGWD6U}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-17T23:54:07.956530Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

523b763744ac599098f0136c0a9ac3f529fb0ce374d0ebdf71d31751e8083cfa

Aliases

arxiv: 1201.1102 · arxiv_version: 1201.1102v4 · doi: 10.48550/arxiv.1201.1102 · pith_short_12: KI5XMN2EVRMZ · pith_short_16: KI5XMN2EVRMZBGHQ · pith_short_8: KI5XMN2E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KI5XMN2EVRMZBGHQCNWAVGWD6U \
  | 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: 523b763744ac599098f0136c0a9ac3f529fb0ce374d0ebdf71d31751e8083cfa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cb3aef7fa77fd02239726e17fdd45fc7318780fe837c068e365ec46d8551b447",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-05T10:17:11Z",
    "title_canon_sha256": "6d89467ffadb87d0d28faef052aa59d7f15db491bbf1e8627955abcf067b20dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1102",
    "kind": "arxiv",
    "version": 4
  }
}