Pith Number

pith:QHCQ5LKL

pith:2010:QHCQ5LKLVRLVDS5LW7R34ME6EG

not attested not anchored not stored refs pending

On the Connectivity of the Sylow Graph of a Finite Group

Francesco G. Russo (Universita' degli Studi di Palermo, Italy), Palermo

arxiv:1002.4853 v5 · 2010-02-25 · math.CO · 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{QHCQ5LKLVRLVDS5LW7R34ME6EG}

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	2026-05-18T03:40:03.761638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c50ead4bac5751cbabb7e3be309e218b5ec8cfbbd1857200b388ff2ae7e3e8

Aliases

arxiv: 1002.4853 · arxiv_version: 1002.4853v5 · doi: 10.48550/arxiv.1002.4853 · pith_short_12: QHCQ5LKLVRLV · pith_short_16: QHCQ5LKLVRLVDS5L · pith_short_8: QHCQ5LKL

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/QHCQ5LKLVRLVDS5LW7R34ME6EG \
  | 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: 81c50ead4bac5751cbabb7e3be309e218b5ec8cfbbd1857200b388ff2ae7e3e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5380c9433d6b60e7002480b28a02575029b0e70642c3d71be831ee883224834",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-25T19:34:27Z",
    "title_canon_sha256": "607457b415a1e2ba78a7b9738bab7922199c453f2911ecd4cda1ecb6526764cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4853",
    "kind": "arxiv",
    "version": 5
  }
}