Pith Number

pith:GGR7UIIW

pith:2019:GGR7UIIWVB5WCKJM3GVODKNX4L

not attested not anchored not stored refs pending

Locally solvable maximal subgroups in division rings

Bui Xuan Hai, Huynh Viet Khanh

arxiv:1908.04925 v3 · 2019-08-14 · 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{GGR7UIIWVB5WCKJM3GVODKNX4L}

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	2026-07-05T07:29:07.899465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a3fa2116a87b61292cd9aae1a9b7e2f7e142e7e7e8d2c6647e937dc7dec9a3

Aliases

arxiv: 1908.04925 · arxiv_version: 1908.04925v3 · doi: 10.48550/arxiv.1908.04925 · pith_short_12: GGR7UIIWVB5W · pith_short_16: GGR7UIIWVB5WCKJM · pith_short_8: GGR7UIIW

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/GGR7UIIWVB5WCKJM3GVODKNX4L \
  | 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: 31a3fa2116a87b61292cd9aae1a9b7e2f7e142e7e7e8d2c6647e937dc7dec9a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02415b26f427f4a5eb5347dd6ca579f56c234128f6ad05917c1229ab8d842ccf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-14T02:04:39Z",
    "title_canon_sha256": "ef1d1f71dc9a03b97011519e9f4e63fc0c62ad9cca45f2f3e4439d1fe1381270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04925",
    "kind": "arxiv",
    "version": 3
  }
}