Pith Number

pith:6SSXASEG

pith:2013:6SSXASEG3JLQPKYCL5W26P2HMQ

not attested not anchored not stored refs pending

Nilpotent and Abelian Hall Subgroups in Finite Groups

Alexander Moret\'o, Antonio Beltr\'an, Gabriel Navarro, Gunter Malle, Lucia Sanus, Mar\'ia Jos\'e Felipe, Pham Huu Tiep

arxiv:1310.8413 v1 · 2013-10-31 · math.GR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SSXASEG3JLQPKYCL5W26P2HMQ}

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	2026-05-18T03:08:17.133709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4a5704886da5707ab025f6daf3f47640a751e876f9647633f0ee65ddb301868

Aliases

arxiv: 1310.8413 · arxiv_version: 1310.8413v1 · doi: 10.48550/arxiv.1310.8413 · pith_short_12: 6SSXASEG3JLQ · pith_short_16: 6SSXASEG3JLQPKYC · pith_short_8: 6SSXASEG

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/6SSXASEG3JLQPKYCL5W26P2HMQ \
  | 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: f4a5704886da5707ab025f6daf3f47640a751e876f9647633f0ee65ddb301868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6c92bce42bafd8ff5f96694b423d82b0e3e53380037c1980a3d94fc931c4e9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-31T07:21:32Z",
    "title_canon_sha256": "4d9455b4c530b710b0df36de3b7e1e3902fa86af18ab62565cf83aba9cd4c72d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8413",
    "kind": "arxiv",
    "version": 1
  }
}