Pith Number

pith:V66NI4T7

pith:2017:V66NI4T7773OO6R3RG5QT53DQH

not attested not anchored not stored refs pending

Finite groups with Engel sinks of bounded rank

E. I. Khukhro, P. Shumyatsky

arxiv:1707.04187 v1 · 2017-07-13 · 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{V66NI4T7773OO6R3RG5QT53DQH}

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	2026-05-18T00:40:20.276759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afbcd4727ffff6e77a3b89bb09f76381d3c7e63817fce3cc653f35c62ede6abc

Aliases

arxiv: 1707.04187 · arxiv_version: 1707.04187v1 · doi: 10.48550/arxiv.1707.04187 · pith_short_12: V66NI4T7773O · pith_short_16: V66NI4T7773OO6R3 · pith_short_8: V66NI4T7

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/V66NI4T7773OO6R3RG5QT53DQH \
  | 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: afbcd4727ffff6e77a3b89bb09f76381d3c7e63817fce3cc653f35c62ede6abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d70fb43c8d7deaee5982e8340cc3224e2ae05a3c4aebb1873a43ef0e661deb31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-07-13T15:53:51Z",
    "title_canon_sha256": "711c79c4cb6b83bfbd47236028245cb5e1aa25e2bdbf2a1f7cea66d61712d96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04187",
    "kind": "arxiv",
    "version": 1
  }
}