Pith Number

pith:Q5CCOBRS

pith:2014:Q5CCOBRSPKELRBEU3JRVEWBMW2

not attested not anchored not stored refs pending

Recognising Abelian Sylow Subgroups in Finite Groups

Julian Brough

arxiv:1407.4495 v1 · 2014-07-16 · 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{Q5CCOBRSPKELRBEU3JRVEWBMW2}

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	2026-05-18T00:56:58.952353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87442706327a88b88494da6352582cb693488e5b21d3818e41ade654db19c086

Aliases

arxiv: 1407.4495 · arxiv_version: 1407.4495v1 · doi: 10.48550/arxiv.1407.4495 · pith_short_12: Q5CCOBRSPKEL · pith_short_16: Q5CCOBRSPKELRBEU · pith_short_8: Q5CCOBRS

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/Q5CCOBRSPKELRBEU3JRVEWBMW2 \
  | 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: 87442706327a88b88494da6352582cb693488e5b21d3818e41ade654db19c086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d97ea1d3e41a06a4e30b937fc2f4fa648a1f3ed32f0baee62f6c92ee60701ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-16T20:54:15Z",
    "title_canon_sha256": "155264c98a3e12f42b0004d13e4bc6033fa5f0165c031058e6e2bcdc3a4ca7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4495",
    "kind": "arxiv",
    "version": 1
  }
}