Pith Number

pith:KGVQP52C

pith:2011:KGVQP52CAIY2DTJG6LZSEMSFQI

not attested not anchored not stored refs pending

Centralizers of maximal regular subgroups in simple Lie groups and relative congruence classes of representations

F. W. Lemire, J. Patera, M. Larouche

arxiv:1109.6917 v1 · 2011-09-30 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGVQP52CAIY2DTJG6LZSEMSFQI}

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	2026-05-18T04:11:52.211294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51ab07f7420231a1cd26f2f3223245823f7e458b5570bd7acd20eaa7ed10f796

Aliases

arxiv: 1109.6917 · arxiv_version: 1109.6917v1 · doi: 10.48550/arxiv.1109.6917 · pith_short_12: KGVQP52CAIY2 · pith_short_16: KGVQP52CAIY2DTJG · pith_short_8: KGVQP52C

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/KGVQP52CAIY2DTJG6LZSEMSFQI \
  | 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: 51ab07f7420231a1cd26f2f3223245823f7e458b5570bd7acd20eaa7ed10f796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0053238d33ffdc8105ff53b6b0676c92c3951853e16599ab9d35a1afbcbd800",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-30T18:08:32Z",
    "title_canon_sha256": "188a005ef7c4c54d11c755149411f9bc15bc988ff8ae9fcf75561c62ab98815e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6917",
    "kind": "arxiv",
    "version": 1
  }
}