Pith Number

pith:DJHXCLZS

pith:2016:DJHXCLZS54HV6TMKAXVUI67G6W

not attested not anchored not stored refs pending

On $\Pi$-permutable subgroups of finite groups

A.N.Skiba, Wenbin Guo

arxiv:1606.03197 v1 · 2016-06-10 · 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{DJHXCLZS54HV6TMKAXVUI67G6W}

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	2026-05-18T01:12:37.365579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4f712f32ef0f5f4d8a05eb447be6f5a4d112b9644c4c83c3c34cfd6d74a1c0

Aliases

arxiv: 1606.03197 · arxiv_version: 1606.03197v1 · doi: 10.48550/arxiv.1606.03197 · pith_short_12: DJHXCLZS54HV · pith_short_16: DJHXCLZS54HV6TMK · pith_short_8: DJHXCLZS

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/DJHXCLZS54HV6TMKAXVUI67G6W \
  | 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: 1a4f712f32ef0f5f4d8a05eb447be6f5a4d112b9644c4c83c3c34cfd6d74a1c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9711d47440de944be1faf1009e193a457e45ac2c85b5ee06eeead0d604c24d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-10T06:08:57Z",
    "title_canon_sha256": "2b4903c1e2b301d299b18f99649721bb1a68d1c52ec71268de5288e59e1bf750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03197",
    "kind": "arxiv",
    "version": 1
  }
}