Pith Number

pith:MHRJGX6L

pith:2010:MHRJGX6LTMDIAFXFRRI5Z5S4DH

not attested not anchored not stored refs pending

On the algebraic set of singular elements in a complex simple Lie algebra

Bertram Kostant, Nolan Wallach

arxiv:1011.3267 v1 · 2010-11-14 · 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{MHRJGX6LTMDIAFXFRRI5Z5S4DH}

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	2026-05-18T04:35:56.206976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e2935fcb9b068016e58c51dcf65c19df3e7985e87eda3210ee97bc766d2c09

Aliases

arxiv: 1011.3267 · arxiv_version: 1011.3267v1 · doi: 10.48550/arxiv.1011.3267 · pith_short_12: MHRJGX6LTMDI · pith_short_16: MHRJGX6LTMDIAFXF · pith_short_8: MHRJGX6L

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/MHRJGX6LTMDIAFXFRRI5Z5S4DH \
  | 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: 61e2935fcb9b068016e58c51dcf65c19df3e7985e87eda3210ee97bc766d2c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a29586cd12c5585ea576a2848db4fd6272abbdf0f494c28757b39265bd308077",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-11-14T23:52:46Z",
    "title_canon_sha256": "72ee5e4bf5c7bf1fd9225e94903c9cc9f409e32f1c09750726a8d523561f5e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3267",
    "kind": "arxiv",
    "version": 1
  }
}