Pith Number

pith:FV2KGDUJ

pith:2011:FV2KGDUJHCI257Z65N5QMR2R5Z

not attested not anchored not stored refs pending

Weyl groups of fine gradings on simple Lie algebras of types A, B, C and D

Alberto Elduque, Mikhail Kochetov

arxiv:1109.3540 v1 · 2011-09-16 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV2KGDUJHCI257Z65N5QMR2R5Z}

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	2026-05-18T03:39:29.230329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d74a30e893891aeff3eeb7b064751ee41624eb0ed44472b1fc2e24c531ca28e

Aliases

arxiv: 1109.3540 · arxiv_version: 1109.3540v1 · doi: 10.48550/arxiv.1109.3540 · pith_short_12: FV2KGDUJHCI2 · pith_short_16: FV2KGDUJHCI257Z6 · pith_short_8: FV2KGDUJ

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/FV2KGDUJHCI257Z65N5QMR2R5Z \
  | 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: 2d74a30e893891aeff3eeb7b064751ee41624eb0ed44472b1fc2e24c531ca28e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d58facb6d57db797b9b8874aa5e10473ac539c69c5ceb8888030d7492b077938",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-16T07:40:35Z",
    "title_canon_sha256": "50809bd6fc8c8addd52e35e342b1b5dac9a26df24b3b0b4f4ba77d47332c633a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3540",
    "kind": "arxiv",
    "version": 1
  }
}