Pith Number

pith:GH5KZRHZ

pith:2016:GH5KZRHZLZHG5XSTCO4QTUJJFW

not attested not anchored not stored refs pending

Abundance of nilpotent orbits in real semisimple Lie algebras

Takayuki Okuda

arxiv:1612.02896 v1 · 2016-12-09 · math.RT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH5KZRHZLZHG5XSTCO4QTUJJFW}

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	2026-05-18T00:55:28.034970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31faacc4f95e4e6ede5313b909d1292d83c0f6c5bf83c17dde16a2bc3e7f7846

Aliases

arxiv: 1612.02896 · arxiv_version: 1612.02896v1 · doi: 10.48550/arxiv.1612.02896 · pith_short_12: GH5KZRHZLZHG · pith_short_16: GH5KZRHZLZHG5XST · pith_short_8: GH5KZRHZ

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/GH5KZRHZLZHG5XSTCO4QTUJJFW \
  | 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: 31faacc4f95e4e6ede5313b909d1292d83c0f6c5bf83c17dde16a2bc3e7f7846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b80ef8b5b0d904c4a924d30d4d8ac490165bd4f00a478424481ae5138d9644d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-09T02:51:42Z",
    "title_canon_sha256": "4cd28a1260ec9043415d860b39bdb0b4b797b1384ac02cf8751def1c7b8f707c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02896",
    "kind": "arxiv",
    "version": 1
  }
}