Pith Number

pith:LSXSZYP5

pith:2017:LSXSZYP5X7E4YSWMCMFN7GM4UM

not attested not anchored not stored refs pending

When the group ring of a finite group over a field is serial

Andrei Kukharev, Gena Puninski

arxiv:1701.03579 v1 · 2017-01-13 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSXSZYP5X7E4YSWMCMFN7GM4UM}

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	2026-05-18T00:52:54.452700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5caf2ce1fdbfc9cc4acc130adf999ca32e72da99c5da3dbba95febd977fb0346

Aliases

arxiv: 1701.03579 · arxiv_version: 1701.03579v1 · doi: 10.48550/arxiv.1701.03579 · pith_short_12: LSXSZYP5X7E4 · pith_short_16: LSXSZYP5X7E4YSWM · pith_short_8: LSXSZYP5

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/LSXSZYP5X7E4YSWMCMFN7GM4UM \
  | 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: 5caf2ce1fdbfc9cc4acc130adf999ca32e72da99c5da3dbba95febd977fb0346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e2f3d1f726c3c75156fe8a13343e7e2eda423fb2c22f9368174b95e5e1d197",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-01-13T07:28:23Z",
    "title_canon_sha256": "56facefbd1d9114b52faa5ec11b3aa37a9ee5876197d6b9bc202e4f8c5e85138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03579",
    "kind": "arxiv",
    "version": 1
  }
}