Pith Number

pith:IEAGVSXW

pith:2015:IEAGVSXW4GZFFT4FQYPD7U33ID

not attested not anchored not stored refs pending

On $C^*$-algebras of exponential solvable Lie groups and their real ranks

Daniel Beltita, Ingrid Beltita

arxiv:1511.05533 v1 · 2015-11-17 · math.OA · 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{IEAGVSXW4GZFFT4FQYPD7U33ID}

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	2026-05-18T01:26:39.996404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41006acaf6e1b252cf85861e3fd37b40e6eca3759cb87cceefea02f22a46253b

Aliases

arxiv: 1511.05533 · arxiv_version: 1511.05533v1 · doi: 10.48550/arxiv.1511.05533 · pith_short_12: IEAGVSXW4GZF · pith_short_16: IEAGVSXW4GZFFT4F · pith_short_8: IEAGVSXW

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/IEAGVSXW4GZFFT4FQYPD7U33ID \
  | 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: 41006acaf6e1b252cf85861e3fd37b40e6eca3759cb87cceefea02f22a46253b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbfb55a4dc685a11eafa13732be79a949890a2c65ad48d034de7574c3ec36f5d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-17T20:17:22Z",
    "title_canon_sha256": "604fcd8b464962ba6d68909b84756b2225322951ca96abcedbcd66d6d5f24f95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05533",
    "kind": "arxiv",
    "version": 1
  }
}