Pith Number

pith:YMP7OCWP

pith:2013:YMP7OCWPQCQYSJQ6U2OYJDEUHC

not attested not anchored not stored refs pending

Some restrictions on normalizers or centralizers in finite p-groups

Antonio Tortora, Gustavo A. Fernandez-Alcober, Leire Legarreta, Maria Tota

arxiv:1311.2608 v1 · 2013-11-11 · 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{YMP7OCWPQCQYSJQ6U2OYJDEUHC}

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	2026-05-18T03:07:22.369729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c31ff70acf80a189261ea69d848c9438b974cb80545d2b5a30f6e91b25087212

Aliases

arxiv: 1311.2608 · arxiv_version: 1311.2608v1 · doi: 10.48550/arxiv.1311.2608 · pith_short_12: YMP7OCWPQCQY · pith_short_16: YMP7OCWPQCQYSJQ6 · pith_short_8: YMP7OCWP

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/YMP7OCWPQCQYSJQ6U2OYJDEUHC \
  | 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: c31ff70acf80a189261ea69d848c9438b974cb80545d2b5a30f6e91b25087212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff537b2a01032ec1930ca66fd0ec8f6e1330f23eeccab745b21614242e55e058",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-11T21:16:32Z",
    "title_canon_sha256": "5fe84b95a396777160b49ea5212bd475ba2979577eaa68e7914a91ab9c77f435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2608",
    "kind": "arxiv",
    "version": 1
  }
}