Pith Number

pith:G2Y7TJW2

pith:2015:G2Y7TJW253NXIXA3KGDPEPRYQA

not attested not anchored not stored refs pending

Engel-type subgroups and length parameters of finite groups

Evgeny Khukhro, Pavel Shumyatsky

arxiv:1506.00233 v3 · 2015-05-31 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2Y7TJW253NXIXA3KGDPEPRYQA}

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	2026-05-18T00:28:38.277235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b1f9a6daeedb745c1b5186f23e38801ce3e20e366224770e49a23c81ede608

Aliases

arxiv: 1506.00233 · arxiv_version: 1506.00233v3 · doi: 10.48550/arxiv.1506.00233 · pith_short_12: G2Y7TJW253NX · pith_short_16: G2Y7TJW253NXIXA3 · pith_short_8: G2Y7TJW2

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/G2Y7TJW253NXIXA3KGDPEPRYQA \
  | 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: 36b1f9a6daeedb745c1b5186f23e38801ce3e20e366224770e49a23c81ede608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "940718082ac2d54a276aee0faf5822548734a9e7ecc635b4d358db06dda6f33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-31T13:57:28Z",
    "title_canon_sha256": "7fd2784e4f8ca38d23a856c1a1c13b9d02ccb50de7aeba20f56c9c9b1762d7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00233",
    "kind": "arxiv",
    "version": 3
  }
}