Pith Number

pith:FFFOXKES

pith:2011:FFFOXKES7ZUMFB333CW5CVWUEO

not attested not anchored not stored refs pending

An effective method to compute closure ordering for nilpotent orbits of $\theta$-representations

E.B. Vinberg, O.S. Yakimova, W.A. de Graaf

arxiv:1107.1864 v1 · 2011-07-10 · 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{FFFOXKES7ZUMFB333CW5CVWUEO}

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	2026-05-18T02:21:43.049826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

294aeba892fe68c2877bd8add156d4238bad73c969d90997e15906f647eea185

Aliases

arxiv: 1107.1864 · arxiv_version: 1107.1864v1 · doi: 10.48550/arxiv.1107.1864 · pith_short_12: FFFOXKES7ZUM · pith_short_16: FFFOXKES7ZUMFB33 · pith_short_8: FFFOXKES

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/FFFOXKES7ZUMFB333CW5CVWUEO \
  | 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: 294aeba892fe68c2877bd8add156d4238bad73c969d90997e15906f647eea185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd75306637749023f7c87139b6b83752864dfdfc92be964953142cc722d8749c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-10T15:42:21Z",
    "title_canon_sha256": "14e2ea9a4d53d6f9019794711459d031f90b86995cf09d3f960e9d931620c66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1864",
    "kind": "arxiv",
    "version": 1
  }
}