Pith Number

pith:JJS4X7JC

pith:2013:JJS4X7JC2LRVDRP36T5HQY5AG2

not attested not anchored not stored refs pending

The diameter of the commuting graph of a finite group with trivial centre

C. W. Parker, G. L. Morgan

arxiv:1301.2341 v1 · 2013-01-10 · 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{JJS4X7JC2LRVDRP36T5HQY5AG2}

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	2026-05-18T03:36:45.280138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a65cbfd22d2e351c5fbf4fa7863a036b321a19453f1c25f7b78371bdee0c922

Aliases

arxiv: 1301.2341 · arxiv_version: 1301.2341v1 · doi: 10.48550/arxiv.1301.2341 · pith_short_12: JJS4X7JC2LRV · pith_short_16: JJS4X7JC2LRVDRP3 · pith_short_8: JJS4X7JC

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/JJS4X7JC2LRVDRP36T5HQY5AG2 \
  | 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: 4a65cbfd22d2e351c5fbf4fa7863a036b321a19453f1c25f7b78371bdee0c922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d18e8c395f23408636819856e3dfc3a048cb1e59b4eabe1575df0c006e9eb7ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-10T21:51:28Z",
    "title_canon_sha256": "f73f89cf954d666887b9bbd8a56930f8ef2a417133930be5d0a72521d7aa8e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2341",
    "kind": "arxiv",
    "version": 1
  }
}