Pith Number

pith:64ORIVUF

pith:2026:64ORIVUF4PQ4OWXNIGHNQXMQ2K

not attested not anchored not stored refs pending

Sylow theory and the nilpotency class of left nilpotent skew braces

\c{S}\"ukran G\"ul, G\"ulin Ercan, \.Ismail \c{S}. G\"ulo\u{g}lu, M. Yasir K{\i}zmaz

arxiv:2606.25691 v1 · 2026-06-24 · 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{64ORIVUF4PQ4OWXNIGHNQXMQ2K}

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	2026-06-25T01:18:12.937198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71d145685e3e1c75aed418ed85d90d28a81517f30db3e46eea8f487dc360583

Aliases

arxiv: 2606.25691 · arxiv_version: 2606.25691v1 · doi: 10.48550/arxiv.2606.25691 · pith_short_12: 64ORIVUF4PQ4 · pith_short_16: 64ORIVUF4PQ4OWXN · pith_short_8: 64ORIVUF

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/64ORIVUF4PQ4OWXNIGHNQXMQ2K \
  | 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: f71d145685e3e1c75aed418ed85d90d28a81517f30db3e46eea8f487dc360583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f9ab607ae7d5b7bd86112efa142fc0557c799742f28e4176f666571c2fe05c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-24T11:01:30Z",
    "title_canon_sha256": "c3f9e9e4f4a42f1f588de4ad25533c1b43b5505c85ea4a129447d147731b4960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25691",
    "kind": "arxiv",
    "version": 1
  }
}