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Pith Number

pith:I4Q4EXVO

pith:2017:I4Q4EXVOBKSWKWIKFMRYQNC6NH
not attested not anchored not stored refs pending

Duality between $p$-groups with three characteristic subgroups and semisimple anti-commutative algebras

Csaba Schneider, Frederico A.M. Ribeiro, S.P. Glasby

arxiv:1711.04998 v2 · 2017-11-14 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{I4Q4EXVOBKSWKWIKFMRYQNC6NH}

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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 2026-05-18T00:05:09.509305Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4721c25eae0aa565590a2b2388345e69f9de7d3fa789bffd29677458d56cafbf

Aliases

arxiv: 1711.04998 · arxiv_version: 1711.04998v2 · doi: 10.48550/arxiv.1711.04998 · pith_short_12: I4Q4EXVOBKSW · pith_short_16: I4Q4EXVOBKSWKWIK · pith_short_8: I4Q4EXVO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/I4Q4EXVOBKSWKWIKFMRYQNC6NH \
  | 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: 4721c25eae0aa565590a2b2388345e69f9de7d3fa789bffd29677458d56cafbf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fe56b5047f3a8326a1486da8f23c3dbc3cde258f0812b6df6f9efbffec7ff4f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-14T08:40:12Z",
    "title_canon_sha256": "4220e28a3fa8b2f0d7c70ff67a95487ae8e04a223a3f2ce0e4604893687cf0e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04998",
    "kind": "arxiv",
    "version": 2
  }
}