pith. sign in
Pith Number

pith:5KPXBFWT

pith:2016:5KPXBFWTXD3B3KMNGIAATBOX6H
not attested not anchored not stored refs pending

A note on strongly real Beauville $p$-groups

\c{S}\"ukran G\"ul

arxiv:1607.08907 v2 · 2016-07-29 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5KPXBFWTXD3B3KMNGIAATBOX6H}

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 2026-05-18T01:01:51.560641Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ea9f7096d3b8f61da98d32000985d7f1d0f4815f675ac8eb46f2ccda7af1b3d7

Aliases

arxiv: 1607.08907 · arxiv_version: 1607.08907v2 · doi: 10.48550/arxiv.1607.08907 · pith_short_12: 5KPXBFWTXD3B · pith_short_16: 5KPXBFWTXD3B3KMN · pith_short_8: 5KPXBFWT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5KPXBFWTXD3B3KMNGIAATBOX6H \
  | 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: ea9f7096d3b8f61da98d32000985d7f1d0f4815f675ac8eb46f2ccda7af1b3d7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8bc681194788cb84acee238d9785a3ef46f66bebd68d0f4a434b8ec1440a39db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-29T19:42:32Z",
    "title_canon_sha256": "17cf8720b5c8c1afc8375a89e6fe86a485abc8c21cc54f3930b6c263a058a3db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08907",
    "kind": "arxiv",
    "version": 2
  }
}