Pith Number

pith:4TKHT6ED

pith:2017:4TKHT6EDTHYNDQKJPIH3UETXOM

not attested not anchored not stored refs pending

On the orders of the non-Frattini elements of a finite group

Andrea Lucchini

arxiv:1708.07331 v1 · 2017-08-24 · 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{4TKHT6EDTHYNDQKJPIH3UETXOM}

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	2026-05-18T00:36:46.551536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d479f88399f0d1c1497a0fba12777316d7490857cac1f9053c88bbf3b0a763

Aliases

arxiv: 1708.07331 · arxiv_version: 1708.07331v1 · doi: 10.48550/arxiv.1708.07331 · pith_short_12: 4TKHT6EDTHYN · pith_short_16: 4TKHT6EDTHYNDQKJ · pith_short_8: 4TKHT6ED

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/4TKHT6EDTHYNDQKJPIH3UETXOM \
  | 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: e4d479f88399f0d1c1497a0fba12777316d7490857cac1f9053c88bbf3b0a763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e70400785182c7a9671cae67c330db06c213b51a08b932a0446c18412853dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-24T09:29:39Z",
    "title_canon_sha256": "03e56ad411eb0f9dbae7031c4c463ff6b12cdb44b09b2876babb3850c92ecb74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07331",
    "kind": "arxiv",
    "version": 1
  }
}