Pith Number

pith:U2NGASII

pith:2011:U2NGASIIIBWZPBJ5LXSD7BKPVJ

not attested not anchored not stored refs pending

The Hesselink stratification of nullcones and base change

Alexander Premet, Matthew C. Clarke

arxiv:1108.5889 v2 · 2011-08-30 · 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{U2NGASIIIBWZPBJ5LXSD7BKPVJ}

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	2026-05-18T04:12:54.288090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a69a604908406d97853d5de43f854faa6a8c271082202df9b7e04aaa066ede0e

Aliases

arxiv: 1108.5889 · arxiv_version: 1108.5889v2 · doi: 10.48550/arxiv.1108.5889 · pith_short_12: U2NGASIIIBWZ · pith_short_16: U2NGASIIIBWZPBJ5 · pith_short_8: U2NGASII

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/U2NGASIIIBWZPBJ5LXSD7BKPVJ \
  | 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: a69a604908406d97853d5de43f854faa6a8c271082202df9b7e04aaa066ede0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca881c4682c03efd273ed7ed0aa3a0c272f300835bd72057db126e82471a7cfd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-30T09:37:46Z",
    "title_canon_sha256": "aa9c1514bce69490208ab342e42381b36c9a1bc18c6429d1975c94ddce2796ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5889",
    "kind": "arxiv",
    "version": 2
  }
}