Pith Number

pith:GEOZBWJL

pith:2024:GEOZBWJLCINPWRDTO6XXZZSS5L

not attested not anchored not stored refs pending

Finite groups with some particular maximal invariant subgroups being nilpotent or all non-nilpotent maximal invariant subgroups being normal

Fanjie Xu, Jiangtao Shi

arxiv:2408.01249 v1 · 2024-08-02 · 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{GEOZBWJLCINPWRDTO6XXZZSS5L}

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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.

Cited by

1 paper in Pith

On an extension of Shlyk's theorem

Receipt and verification

First computed	2026-07-05T08:51:29.225574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311d90d92b121afb447377af7ce652eaffb0846673ca5b7300105bf692dfb9ab

Aliases

arxiv: 2408.01249 · arxiv_version: 2408.01249v1 · doi: 10.48550/arxiv.2408.01249 · pith_short_12: GEOZBWJLCINP · pith_short_16: GEOZBWJLCINPWRDT · pith_short_8: GEOZBWJL

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/GEOZBWJLCINPWRDTO6XXZZSS5L \
  | 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: 311d90d92b121afb447377af7ce652eaffb0846673ca5b7300105bf692dfb9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79458e623475d1129da4b64d19620a4a95bd1d9ed70f01765280056dc246b21c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-08-02T13:10:36Z",
    "title_canon_sha256": "a7ef6d12e3296254e03b7d0d329b10a9de714eee6e0b5b3c404c18bf25138b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01249",
    "kind": "arxiv",
    "version": 1
  }
}