Pith Number

pith:3R7QVSDW

pith:2011:3R7QVSDWDE2JUSBSRWURZB4O3P

not attested not anchored not stored refs pending

Commuting powers and exterior degree of finite groups

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

arxiv:1102.2304 v3 · 2011-02-11 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3R7QVSDWDE2JUSBSRWURZB4O3P}

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	2026-05-17T23:58:26.417720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7f0ac87619349a48328da91c878edbe335c3c8752726e1528c31f0fbea2294

Aliases

arxiv: 1102.2304 · arxiv_version: 1102.2304v3 · doi: 10.48550/arxiv.1102.2304 · pith_short_12: 3R7QVSDWDE2J · pith_short_16: 3R7QVSDWDE2JUSBS · pith_short_8: 3R7QVSDW

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/3R7QVSDWDE2JUSBSRWURZB4O3P \
  | 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: dc7f0ac87619349a48328da91c878edbe335c3c8752726e1528c31f0fbea2294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc7bf3687742796d52c84ba912ad6b109877cf476fa7c14e1c01d6fe0dec41e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-02-11T09:04:06Z",
    "title_canon_sha256": "11401d813d3cae15d957df9a59a2b988957f584869b9ad44f2b52c64b5fac62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2304",
    "kind": "arxiv",
    "version": 3
  }
}