Pith Number

pith:XRQBLU2V

pith:2010:XRQBLU2VXIBMGSWY2OB6KXXA3S

not attested not anchored not stored refs pending

n-th Relative nilpotency degree and relative n-isoclinism classes

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

arxiv:1003.2297 v4 · 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{XRQBLU2VXIBMGSWY2OB6KXXA3S}

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	2026-05-18T03:53:17.825970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc6015d355ba02c34ad8d383e55ee0dc86f4810946258251c3815af7bef8c66d

Aliases

arxiv: 1003.2297 · arxiv_version: 1003.2297v4 · doi: 10.48550/arxiv.1003.2297 · pith_short_12: XRQBLU2VXIBM · pith_short_16: XRQBLU2VXIBMGSWY · pith_short_8: XRQBLU2V

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/XRQBLU2VXIBMGSWY2OB6KXXA3S \
  | 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: bc6015d355ba02c34ad8d383e55ee0dc86f4810946258251c3815af7bef8c66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7514038f295080bade12a313d3ff9888d16d93accfb7fd9b499c3dcf90e2c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-11T10:21:03Z",
    "title_canon_sha256": "1e752655b3c706af4bb4f3df3b4bca416e84c0254ef21a0fc5690e2d8b6526af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2297",
    "kind": "arxiv",
    "version": 4
  }
}