Pith Number

pith:KFO3WXR2

pith:2013:KFO3WXR2GLI34EICPAW6E7C34P

not attested not anchored not stored refs pending

On partial $\Pi$-property of subgroups of finite groups

Wenbin Guo, Xiaoyu Chen

arxiv:1301.6361 v9 · 2013-01-27 · 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{KFO3WXR2GLI34EICPAW6E7C34P}

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	2026-05-18T02:38:44.653269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

515dbb5e3a32d1be1102782de27c5be3f7128200ec761a2e5b425ce143f59c1b

Aliases

arxiv: 1301.6361 · arxiv_version: 1301.6361v9 · doi: 10.48550/arxiv.1301.6361 · pith_short_12: KFO3WXR2GLI3 · pith_short_16: KFO3WXR2GLI34EIC · pith_short_8: KFO3WXR2

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/KFO3WXR2GLI34EICPAW6E7C34P \
  | 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: 515dbb5e3a32d1be1102782de27c5be3f7128200ec761a2e5b425ce143f59c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2ec2ded42310e999a73f370293caa346890290784fe5d1ceae1f0557785000d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-27T14:46:12Z",
    "title_canon_sha256": "a42d6c9b0ccc3dc98b99ed6949e676613b2423c6eb3b4edc602256fda113b1b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6361",
    "kind": "arxiv",
    "version": 9
  }
}