Pith Number

pith:4WD2PN4J

pith:2014:4WD2PN4JJSYVDD3K6IZOHYYA4U

not attested not anchored not stored refs pending

Lamplighter groups and von Neumann's continuous regular rings

Gabor Elek

arxiv:1402.5499 v1 · 2014-02-22 · math.RA · 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{4WD2PN4JJSYVDD3K6IZOHYYA4U}

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	2026-05-18T02:58:20.944277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e587a7b7894cb1518f6af232e3e300e52ce21d1d91282255fee8f35c5fc988b7

Aliases

arxiv: 1402.5499 · arxiv_version: 1402.5499v1 · doi: 10.48550/arxiv.1402.5499 · pith_short_12: 4WD2PN4JJSYV · pith_short_16: 4WD2PN4JJSYVDD3K · pith_short_8: 4WD2PN4J

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/4WD2PN4JJSYVDD3K6IZOHYYA4U \
  | 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: e587a7b7894cb1518f6af232e3e300e52ce21d1d91282255fee8f35c5fc988b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0766affb0bfa5271364bca3a1a9f596abb180b284caff7c5927bd9793b836a37",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-02-22T10:50:12Z",
    "title_canon_sha256": "57ec2c77228f1808e3e016d32c5ee5c02de2bae178cf5ebc8869e173f702e05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5499",
    "kind": "arxiv",
    "version": 1
  }
}