Pith Number

pith:WZ6K7BB3

pith:2011:WZ6K7BB3YN4ICRK6ZXEWVZMX5N

not attested not anchored not stored refs pending

From conjugacy classes in the Weyl group to unipotent classes, II

G. Lusztig

arxiv:1104.0196 v2 · 2011-04-01 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZ6K7BB3YN4ICRK6ZXEWVZMX5N}

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

Affine vertex algebras and an affine analog of Barbasch-Vogan's construction

Receipt and verification

First computed	2026-05-18T04:23:12.786877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67caf843bc37881455ecdc96ae597eb46ad51f0ebd31dfa48efadc332272451

Aliases

arxiv: 1104.0196 · arxiv_version: 1104.0196v2 · doi: 10.48550/arxiv.1104.0196 · pith_short_12: WZ6K7BB3YN4I · pith_short_16: WZ6K7BB3YN4ICRK6 · pith_short_8: WZ6K7BB3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZ6K7BB3YN4ICRK6ZXEWVZMX5N \
  | 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: b67caf843bc37881455ecdc96ae597eb46ad51f0ebd31dfa48efadc332272451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f37a58ed977dccd91b12a1f5c450c09176cbee882daedf0f18247ce8649fdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-04-01T15:16:25Z",
    "title_canon_sha256": "d707279f3e05f8e89c8aa63b85a7b4fe53458f869a4994fcf7327b31824cfb7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0196",
    "kind": "arxiv",
    "version": 2
  }
}