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Pith Number

pith:RVI6LNO4

pith:2015:RVI6LNO4C4VSQX7EN6WMNQBKN4
not attested not anchored not stored refs pending

Coverings of commutators in profinite groups

Cristina Acciarri, Pavel Shumyatsky

arxiv:1511.07843 v1 · 2015-11-24 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RVI6LNO4C4VSQX7EN6WMNQBKN4}

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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 2026-05-18T01:26:03.452283Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8d51e5b5dc172b285fe46facc6c02a6f05c23715395bf36f5f7e1cd12e54cdd7

Aliases

arxiv: 1511.07843 · arxiv_version: 1511.07843v1 · doi: 10.48550/arxiv.1511.07843 · pith_short_12: RVI6LNO4C4VS · pith_short_16: RVI6LNO4C4VSQX7E · pith_short_8: RVI6LNO4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RVI6LNO4C4VSQX7EN6WMNQBKN4 \
  | 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: 8d51e5b5dc172b285fe46facc6c02a6f05c23715395bf36f5f7e1cd12e54cdd7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9f35a80253b72726c8faa78a8cbf8d8a0a7f9e3755b6d86c870999caf7068bee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-24T19:41:52Z",
    "title_canon_sha256": "a43355ea00afe8fd637393f80b8665c603b93cb696fd0268bfc330c86e2b0a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07843",
    "kind": "arxiv",
    "version": 1
  }
}