Pith Number

pith:UNEXOL74

pith:2018:UNEXOL74UFBRQFM2NJLTJICFCA

not attested not anchored not stored refs pending

Engel elements in some fractal groups

Albert Garreta, Gustavo A. Fern\'andez-Alcober, Marialaura Noce

arxiv:1801.04595 v2 · 2018-01-14 · 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{UNEXOL74UFBRQFM2NJLTJICFCA}

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	2026-05-18T00:19:41.217323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a349772ffca14318159a6a5734a045103ccbe1c554a4701299bce21c3d8ca267

Aliases

arxiv: 1801.04595 · arxiv_version: 1801.04595v2 · doi: 10.48550/arxiv.1801.04595 · pith_short_12: UNEXOL74UFBR · pith_short_16: UNEXOL74UFBRQFM2 · pith_short_8: UNEXOL74

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/UNEXOL74UFBRQFM2NJLTJICFCA \
  | 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: a349772ffca14318159a6a5734a045103ccbe1c554a4701299bce21c3d8ca267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b084568692742dedff3bebdd64b76984cb9bbe24007fc5ab05a9e954b429d34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-14T18:51:54Z",
    "title_canon_sha256": "5a2d6ce6c168994e598de845f59e1f6d1dbed71ad919fdd6792323351724a5c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04595",
    "kind": "arxiv",
    "version": 2
  }
}