Pith Number

pith:TVBXJZAY

pith:2019:TVBXJZAY47OEAAVPYZMI2Q2B2H

not attested not anchored not stored refs pending

On finite groups in which commutators are covered by Engel subgroups

Danilo Silveira, Pavel Shumyatsky

arxiv:1901.01859 v1 · 2019-01-03 · 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{TVBXJZAY47OEAAVPYZMI2Q2B2H}

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	2026-05-17T23:56:49.465274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d4374e418e7dc4002afc6588d4341d1dd0975c54c8cebdf37615198581cf20c

Aliases

arxiv: 1901.01859 · arxiv_version: 1901.01859v1 · doi: 10.48550/arxiv.1901.01859 · pith_short_12: TVBXJZAY47OE · pith_short_16: TVBXJZAY47OEAAVP · pith_short_8: TVBXJZAY

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/TVBXJZAY47OEAAVPYZMI2Q2B2H \
  | 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: 9d4374e418e7dc4002afc6588d4341d1dd0975c54c8cebdf37615198581cf20c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3142fea68389424be8d57ad7b57f32bab3f3c07aa1810b1c1ce0040f5194e3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-03T21:26:06Z",
    "title_canon_sha256": "38149a8312dde1a94c80c477f5dc1f4e1d00316308a73b27bf3b52d404a2c776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01859",
    "kind": "arxiv",
    "version": 1
  }
}