Pith Number

pith:HHP7AFC3

pith:2013:HHP7AFC3DLCKZDKADBM5VS7PSB

not attested not anchored not stored refs pending

On the length of the shortest non-trivial element in the derived and the lower central series

Abdelrhman Elkasapy, Andreas Thom

arxiv:1311.0138 v1 · 2013-11-01 · math.GR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHP7AFC3DLCKZDKADBM5VS7PSB}

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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.

Cited by

1 paper in Pith

A Solovay-Kitaev theorem for quantum signal processing

Receipt and verification

First computed	2026-05-18T03:08:15.443997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39dff0145b1ac4ac8d401859dacbef9065e03802624091f7da68cccd5b02f8a7

Aliases

arxiv: 1311.0138 · arxiv_version: 1311.0138v1 · doi: 10.48550/arxiv.1311.0138 · pith_short_12: HHP7AFC3DLCK · pith_short_16: HHP7AFC3DLCKZDKA · pith_short_8: HHP7AFC3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HHP7AFC3DLCKZDKADBM5VS7PSB \
  | 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: 39dff0145b1ac4ac8d401859dacbef9065e03802624091f7da68cccd5b02f8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27a50e0a8d1c12fa5657d655635cc3a983ce37865a5f71932acc435483bc4aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-01T10:44:30Z",
    "title_canon_sha256": "429b9eb390efb2f9c1a353e00afbcf11bbcdf235553ed39123f50df1bd45821c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0138",
    "kind": "arxiv",
    "version": 1
  }
}