Pith Number

pith:QLURTEO4

pith:2012:QLURTEO4U5AWX4N5UJCJVYP22C

not attested not anchored not stored refs pending

On Lusztig's map for spherical unipotent conjugacy classes

Giovanna Carnovale, Mauro Costantini

arxiv:1210.0223 v2 · 2012-09-30 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLURTEO4U5AWX4N5UJCJVYP22C}

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	2026-05-18T02:57:53.248933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82e91991dca7416bf1bda2449ae1fad097995dfa9428bed186eacf5c3ba7d51c

Aliases

arxiv: 1210.0223 · arxiv_version: 1210.0223v2 · doi: 10.48550/arxiv.1210.0223 · pith_short_12: QLURTEO4U5AW · pith_short_16: QLURTEO4U5AWX4N5 · pith_short_8: QLURTEO4

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/QLURTEO4U5AWX4N5UJCJVYP22C \
  | 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: 82e91991dca7416bf1bda2449ae1fad097995dfa9428bed186eacf5c3ba7d51c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae48894971ee24336715f5fdbb0372e5645a42941bbac123a8bc0b4818edf3db",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-30T17:28:12Z",
    "title_canon_sha256": "f2f0e09e1bab1ec16c0c04dbd359bbfab2735b058d3c6d5dffbffd857886195f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0223",
    "kind": "arxiv",
    "version": 2
  }
}