Pith Number

pith:KGDPWGBO

pith:2011:KGDPWGBO6E74RS6LDZ5O3K7E4L

not attested not anchored not stored refs pending

A generalization of Steinberg's cross-section

George Lusztig, Xuhua He

arxiv:1103.1769 v1 · 2011-03-09 · 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{KGDPWGBO6E74RS6LDZ5O3K7E4L}

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	2026-05-18T04:27:05.853381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5186fb182ef13fc8cbcb1e7aedabe4e2cec1632b03b53e28342e0d3747145cd4

Aliases

arxiv: 1103.1769 · arxiv_version: 1103.1769v1 · doi: 10.48550/arxiv.1103.1769 · pith_short_12: KGDPWGBO6E74 · pith_short_16: KGDPWGBO6E74RS6L · pith_short_8: KGDPWGBO

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/KGDPWGBO6E74RS6LDZ5O3K7E4L \
  | 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: 5186fb182ef13fc8cbcb1e7aedabe4e2cec1632b03b53e28342e0d3747145cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d5f067abc080fa63f1c0020473eaae1372e6ddf73bd02f247255b09545374b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-09T12:57:52Z",
    "title_canon_sha256": "eeee4ac856c81c0ad76c093c7ba6e2507c61188ebad657263319a2de6793b197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1769",
    "kind": "arxiv",
    "version": 1
  }
}