pith. sign in
Pith Number

pith:QM33FYVC

pith:2016:QM33FYVCXE4WY465W5G6HC2TBN
not attested not anchored not stored refs pending

Non-inner automorphisms of order p in finite normally constrained p-groups

Leire Legarreta, Marco Ruscitti, Norberto Gavioli

arxiv:1610.02059 v1 · 2016-10-06 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QM33FYVCXE4WY465W5G6HC2TBN}

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 2026-05-18T01:02:58.507709Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8337b2e2a2b9396c73ddb74de38b530b4721dfba05c1020d1fc4ce30464e5791

Aliases

arxiv: 1610.02059 · arxiv_version: 1610.02059v1 · doi: 10.48550/arxiv.1610.02059 · pith_short_12: QM33FYVCXE4W · pith_short_16: QM33FYVCXE4WY465 · pith_short_8: QM33FYVC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QM33FYVCXE4WY465W5G6HC2TBN \
  | 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: 8337b2e2a2b9396c73ddb74de38b530b4721dfba05c1020d1fc4ce30464e5791
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8cb50c50c8e69ef54756d52ceec88a8c6c16723db1e3ebce49e561698ed2219c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-06T20:30:11Z",
    "title_canon_sha256": "c6304722e593a332c67cf1533d4743f76a4e8bd93db33a704cc2f90a35be664b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02059",
    "kind": "arxiv",
    "version": 1
  }
}