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Pith Number

pith:Q5SY3NNL

pith:2014:Q5SY3NNLVXHGHRP6QSTQLD4TJ7
not attested not anchored not stored refs pending

Commutators and commutator subgroups in profinite groups

Cristina Acciarri, Pavel Shumyatsky

arxiv:1408.5034 v3 · 2014-08-21 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q5SY3NNLVXHGHRP6QSTQLD4TJ7}

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 2026-05-18T01:00:10.468119Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

87658db5abadce63c5fe84a7058f934ff9a7b40b8cddc73e49548ec8c623d09d

Aliases

arxiv: 1408.5034 · arxiv_version: 1408.5034v3 · doi: 10.48550/arxiv.1408.5034 · pith_short_12: Q5SY3NNLVXHG · pith_short_16: Q5SY3NNLVXHGHRP6 · pith_short_8: Q5SY3NNL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q5SY3NNLVXHGHRP6QSTQLD4TJ7 \
  | 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: 87658db5abadce63c5fe84a7058f934ff9a7b40b8cddc73e49548ec8c623d09d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0e219cda0c49c683d0fa1ad458fa2da9765c2bbe21ec563dcd728a6faaa12d81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-21T15:13:18Z",
    "title_canon_sha256": "217ed982ffe8719cd84443e77efa65a95b1b68d55c06fa6a9120406df307638f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5034",
    "kind": "arxiv",
    "version": 3
  }
}