Pith Number

pith:32QMVXTP

pith:2018:32QMVXTPRSV3BLDPIEELC7KNN2

not attested not anchored not stored refs pending

A left $3$-Engel element whose normal closure is not nilpotent

Gareth M. Tracey, Gunnar Traustason, Marialaura Noce

arxiv:1811.12074 v1 · 2018-11-29 · 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{32QMVXTPRSV3BLDPIEELC7KNN2}

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	2026-05-17T23:59:34.547188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea0cade6f8cabb0ac6f4108b17d4d6eaedb0c5213e0f828e8406644128963b9

Aliases

arxiv: 1811.12074 · arxiv_version: 1811.12074v1 · doi: 10.48550/arxiv.1811.12074 · pith_short_12: 32QMVXTPRSV3 · pith_short_16: 32QMVXTPRSV3BLDP · pith_short_8: 32QMVXTP

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/32QMVXTPRSV3BLDPIEELC7KNN2 \
  | 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: dea0cade6f8cabb0ac6f4108b17d4d6eaedb0c5213e0f828e8406644128963b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755d5ef8beb083af20015c123ebe2835b260432503128a625dc1033dabd8c50d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-29T11:29:42Z",
    "title_canon_sha256": "f14135beb83489cb2c4cffbd9753c5b3e8bd4c3a655d32bfbe2c143f16906919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12074",
    "kind": "arxiv",
    "version": 1
  }
}