Pith Number

pith:HPF5VHR3

pith:2017:HPF5VHR3VX7I7EFZDWW6JB7GZL

not attested not anchored not stored refs pending

Characterising CCA Sylow cyclic groups whose order is not divisible by four

Gabriel Verret, Joy Morris, Luke Morgan

arxiv:1702.06651 v2 · 2017-02-22 · 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{HPF5VHR3VX7I7EFZDWW6JB7GZL}

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	2026-05-18T00:46:59.028689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bcbda9e3badfe8f90b91dade487e6cadf293868efae48ec6a782e8ab91beab3

Aliases

arxiv: 1702.06651 · arxiv_version: 1702.06651v2 · doi: 10.48550/arxiv.1702.06651 · pith_short_12: HPF5VHR3VX7I · pith_short_16: HPF5VHR3VX7I7EFZ · pith_short_8: HPF5VHR3

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/HPF5VHR3VX7I7EFZDWW6JB7GZL \
  | 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: 3bcbda9e3badfe8f90b91dade487e6cadf293868efae48ec6a782e8ab91beab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ca27fc20bfb05782f3027a43ad593cec7b0b63ba23a479a7fe86199bd457db",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-22T02:28:52Z",
    "title_canon_sha256": "adfe22801a501730f572bea5bfe28bb3ad746dc043f98dfce26bb499afbd1d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06651",
    "kind": "arxiv",
    "version": 2
  }
}