Pith Number

pith:FFXT5SC5

pith:2008:FFXT5SC54YG3Z5ED3OWBD3OMCB

not attested not anchored not stored refs pending

On the intersections of solvable Hall subgroups in finite groups

E.P. Vdovin, V.I. Zenkov

arxiv:0812.3204 v1 · 2008-12-17 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFXT5SC54YG3Z5ED3OWBD3OMCB}

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	2026-05-18T04:42:13.943837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296f3ec85de60dbcf483dbac11edcc106e98a7d02ba1f62b6634a69eeeb29fb5

Aliases

arxiv: 0812.3204 · arxiv_version: 0812.3204v1 · doi: 10.48550/arxiv.0812.3204 · pith_short_12: FFXT5SC54YG3 · pith_short_16: FFXT5SC54YG3Z5ED · pith_short_8: FFXT5SC5

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/FFXT5SC54YG3Z5ED3OWBD3OMCB \
  | 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: 296f3ec85de60dbcf483dbac11edcc106e98a7d02ba1f62b6634a69eeeb29fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da778d823e3a3315c9c4e1af0e28e11008cd393521e9124d7d88de9e0df52ba",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-12-17T04:44:38Z",
    "title_canon_sha256": "c07c9ca8def7d5eaf9638596ececaec8f54e2c0efc75ff0cbba1e75d5e72e9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3204",
    "kind": "arxiv",
    "version": 1
  }
}