Pith Number

pith:44XNO2TV

pith:2018:44XNO2TVSEUIGDVMEXMFZGGFZP

not attested not anchored not stored refs pending

A $p$-nilpotency criterion for finite groups

Antonio D\'iaz Ramos, Antonio Viruel

arxiv:1804.05530 v1 · 2018-04-16 · math.AT · 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{44XNO2TVSEUIGDVMEXMFZGGFZP}

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	2026-05-18T00:18:27.933188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72ed76a759128830eac25d85c98c5cbc8343a2406a9557e0366e5deb3b37e64

Aliases

arxiv: 1804.05530 · arxiv_version: 1804.05530v1 · doi: 10.48550/arxiv.1804.05530 · pith_short_12: 44XNO2TVSEUI · pith_short_16: 44XNO2TVSEUIGDVM · pith_short_8: 44XNO2TV

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/44XNO2TVSEUIGDVMEXMFZGGFZP \
  | 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: e72ed76a759128830eac25d85c98c5cbc8343a2406a9557e0366e5deb3b37e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc3fab090538bd742b1ecf568164afe5257f50de0f0bc265f839f7a827b1b20b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-04-16T07:44:32Z",
    "title_canon_sha256": "f428ccf06fdbb20b44f950c07f7157eba08e30e25a5ad75f344c870302aa914e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05530",
    "kind": "arxiv",
    "version": 1
  }
}