Pith Number

pith:5MY6KE7E

pith:2011:5MY6KE7EQEGZMFVYRBHWHGCSMH

not attested not anchored not stored refs pending

On solvable spherical subgroups of semisimple algebraic groups

Roman Avdeev

arxiv:1102.4595 v4 · 2011-02-22 · math.GR · math.AG · 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{5MY6KE7EQEGZMFVYRBHWHGCSMH}

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	2026-05-18T04:04:06.808862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb31e513e4810d9616b8884f63985261c28986bb6af5689f01cf823eb19a8123

Aliases

arxiv: 1102.4595 · arxiv_version: 1102.4595v4 · doi: 10.48550/arxiv.1102.4595 · pith_short_12: 5MY6KE7EQEGZ · pith_short_16: 5MY6KE7EQEGZMFVY · pith_short_8: 5MY6KE7E

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/5MY6KE7EQEGZMFVYRBHWHGCSMH \
  | 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: eb31e513e4810d9616b8884f63985261c28986bb6af5689f01cf823eb19a8123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0b2ba46dc02877db137b3b1d0cb2badd27794ac8db49bde4c487f6e6026253",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-22T19:52:18Z",
    "title_canon_sha256": "4f3f680f9a8e1e85258b293380c6265992a7ddfa0799fc344c831dbb051b4fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4595",
    "kind": "arxiv",
    "version": 4
  }
}