Pith Number

pith:HBWEXAMD

pith:2013:HBWEXAMDAZ5XNGHSNWZUVY34DH

not attested not anchored not stored refs pending

The Grunewald-O'Halloran conjecture for nilpotent Lie algebras of rank >= 1

Joan Felipe Herrera-Granada, Paulo Tirao

arxiv:1306.1541 v2 · 2013-06-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBWEXAMDAZ5XNGHSNWZUVY34DH}

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	2026-05-18T03:08:24.813817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386c4b8183067b7698f26db34ae37c19cd47d439185d59ba25dcda70228d3e07

Aliases

arxiv: 1306.1541 · arxiv_version: 1306.1541v2 · doi: 10.48550/arxiv.1306.1541 · pith_short_12: HBWEXAMDAZ5X · pith_short_16: HBWEXAMDAZ5XNGHS · pith_short_8: HBWEXAMD

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/HBWEXAMDAZ5XNGHSNWZUVY34DH \
  | 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: 386c4b8183067b7698f26db34ae37c19cd47d439185d59ba25dcda70228d3e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a80b7df941574ad5390126d433eafd09027c7e0fcbefffcbef3968d166b3bb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-06T20:08:38Z",
    "title_canon_sha256": "ae17a6d7cd5a7c08ffa72985d39c5270f0ed7f5a13cd271155f08a884f807c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1541",
    "kind": "arxiv",
    "version": 2
  }
}