Pith Number

pith:NX2K4YSX

pith:2018:NX2K4YSXRXG5ATGFXSEFRQBHMK

not attested not anchored not stored refs pending

Absolutely split metacyclic groups and weak metacirculants

Jin-Xin Zhou, Li Cui

arxiv:1801.08681 v1 · 2018-01-26 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NX2K4YSXRXG5ATGFXSEFRQBHMK}

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	2026-05-18T00:25:03.267160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df4ae62578dcdd04cc5bc8858c02762a9a22ca8397f42fcff1b1e2f8d8e440b

Aliases

arxiv: 1801.08681 · arxiv_version: 1801.08681v1 · doi: 10.48550/arxiv.1801.08681 · pith_short_12: NX2K4YSXRXG5 · pith_short_16: NX2K4YSXRXG5ATGF · pith_short_8: NX2K4YSX

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/NX2K4YSXRXG5ATGFXSEFRQBHMK \
  | 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: 6df4ae62578dcdd04cc5bc8858c02762a9a22ca8397f42fcff1b1e2f8d8e440b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b742cfb9429ed3c88ffe9ba7e48d686d81addc1a4507ea60145ee61ec2b52b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-26T05:51:03Z",
    "title_canon_sha256": "2b47dd1ef1efa75b8b0473c75ae040fe31ce139b433ff9bcc62af66ad7e95796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08681",
    "kind": "arxiv",
    "version": 1
  }
}