Pith Number

pith:HJJKYE2M

pith:2018:HJJKYE2MCJYKORSWJLPEH2UBUO

not attested not anchored not stored refs pending

Commutation Semigroups of Finite Metacyclic Groups with Trivial Centre

Charles C. Edmunds, Darien DeWolf

arxiv:1807.10389 v1 · 2018-07-26 · math.RA · 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{HJJKYE2MCJYKORSWJLPEH2UBUO}

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	2026-05-18T00:09:40.752031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a52ac134c1270a746564ade43ea81a39189d4c3e0a1e6360e962545057a2fd0

Aliases

arxiv: 1807.10389 · arxiv_version: 1807.10389v1 · doi: 10.48550/arxiv.1807.10389 · pith_short_12: HJJKYE2MCJYK · pith_short_16: HJJKYE2MCJYKORSW · pith_short_8: HJJKYE2M

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/HJJKYE2MCJYKORSWJLPEH2UBUO \
  | 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: 3a52ac134c1270a746564ade43ea81a39189d4c3e0a1e6360e962545057a2fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b075aae49b0edc98ed8c06678c79aae51f3f6844c2bf8e0d4afb499daf4153c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-07-26T22:36:13Z",
    "title_canon_sha256": "55193aa25cdd4aa55a23cd94d8019f00e3078316c829a697010e8a90f9a6ef6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10389",
    "kind": "arxiv",
    "version": 1
  }
}