Pith Number

pith:3OGSZPM4

pith:2014:3OGSZPM4L2ZXQHPOHVJWJSGXQS

not attested not anchored not stored refs pending

Semisimple Lie groups satisfy property RD, a short proof

Adrien Boyer

arxiv:1412.8228 v1 · 2014-12-28 · math.GR · 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{3OGSZPM4L2ZXQHPOHVJWJSGXQS}

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	2026-05-18T02:30:23.733836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db8d2cbd9c5eb3781dee3d5364c8d784911c5d8bbee7af8209f7aacdea2037f7

Aliases

arxiv: 1412.8228 · arxiv_version: 1412.8228v1 · doi: 10.48550/arxiv.1412.8228 · pith_short_12: 3OGSZPM4L2ZX · pith_short_16: 3OGSZPM4L2ZXQHPO · pith_short_8: 3OGSZPM4

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/3OGSZPM4L2ZXQHPOHVJWJSGXQS \
  | 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: db8d2cbd9c5eb3781dee3d5364c8d784911c5d8bbee7af8209f7aacdea2037f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f18326b53dde8e5a5bd5a77f8d306109b9192c951cede9d92f9e1e42b5c2b7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-28T23:31:20Z",
    "title_canon_sha256": "04943d8601e6177519f0e0a013327656176942a086bfb11047661679ee2df49e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8228",
    "kind": "arxiv",
    "version": 1
  }
}