Pith Number

pith:Y2KJVV47

pith:2010:Y2KJVV47PR6GKI3JRLK55CCSR7

not attested not anchored not stored refs pending

Relative n-isoclinism classes and relative n-th nilpotency degree of finite groups

Ahmad Erfanian (Ferdowsi University of Mashhad, Francesco G. Russo (Universita' degli Studi di Palermo, Iran), Italy), Malayer, Mashhad, Palermo, Rashid Rezaei (University of Malayer

arxiv:1003.2306 v3 · 2010-03-11 · 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{Y2KJVV47PR6GKI3JRLK55CCSR7}

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	2026-05-17T23:58:26.449142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6949ad79f7c7c6523698ad5de88528fc33eacebaf8e769e0ee303a3652b7701

Aliases

arxiv: 1003.2306 · arxiv_version: 1003.2306v3 · doi: 10.48550/arxiv.1003.2306 · pith_short_12: Y2KJVV47PR6G · pith_short_16: Y2KJVV47PR6GKI3J · pith_short_8: Y2KJVV47

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/Y2KJVV47PR6GKI3JRLK55CCSR7 \
  | 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: c6949ad79f7c7c6523698ad5de88528fc33eacebaf8e769e0ee303a3652b7701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18581b9d278e8ed82f857149a5e9ae4bbfbfc1dfe7a4f7570bbd3519ef166891",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-11T11:16:02Z",
    "title_canon_sha256": "2d5648661f354594568b094e2b7b0e906642839f48510915e9e0d39693c83d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2306",
    "kind": "arxiv",
    "version": 3
  }
}