Pith Number

pith:YODJZDNE

pith:2018:YODJZDNEZGGLH3XSXTRHKQ6TCL

not attested not anchored not stored refs pending

On subnormal subgroups in division rings containing a non-abelian solvable subgroup

Bui Xuan Hai, Mai Hoang Bien

arxiv:1808.09252 v1 · 2018-08-28 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YODJZDNEZGGLH3XSXTRHKQ6TCL}

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	2026-05-18T00:07:01.914448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3869c8da4c98cb3eef2bce27543d312dd79490e7d8435c287877140025a43ef

Aliases

arxiv: 1808.09252 · arxiv_version: 1808.09252v1 · doi: 10.48550/arxiv.1808.09252 · pith_short_12: YODJZDNEZGGL · pith_short_16: YODJZDNEZGGLH3XS · pith_short_8: YODJZDNE

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/YODJZDNEZGGLH3XSXTRHKQ6TCL \
  | 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: c3869c8da4c98cb3eef2bce27543d312dd79490e7d8435c287877140025a43ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11c15b3e6469a9f98257d19a1d3c9b44e0f08e8e322af6a939ca4bf14d4732e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-28T12:37:19Z",
    "title_canon_sha256": "6e9c0d3f331720a7deca81a3d1bc76f486e6c9697db5f9a8823e7181fbe81d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09252",
    "kind": "arxiv",
    "version": 1
  }
}