Pith Number

pith:32WRL2CY

pith:2012:32WRL2CY5DRHRLCDURMBE6ZB7O

not attested not anchored not stored refs pending

Group rings of finite strongly monomial groups: central units and primitive idempotents

\'Angel del R\'io, Eric Jespers, Gabriela Olteanu, Inneke Van Gelder

arxiv:1209.1269 v2 · 2012-09-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32WRL2CY5DRHRLCDURMBE6ZB7O}

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	2026-05-18T03:27:13.832542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dead15e858e8e278ac43a458127b21fbbd6e1c617a61b8cb957b33d385701242

Aliases

arxiv: 1209.1269 · arxiv_version: 1209.1269v2 · doi: 10.48550/arxiv.1209.1269 · pith_short_12: 32WRL2CY5DRH · pith_short_16: 32WRL2CY5DRHRLCD · pith_short_8: 32WRL2CY

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/32WRL2CY5DRHRLCDURMBE6ZB7O \
  | 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: dead15e858e8e278ac43a458127b21fbbd6e1c617a61b8cb957b33d385701242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb47ae15055afdd9d510a23b4921c46ac3288ef5d73492bcb5ce1ad5a6fd4e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-06T12:42:37Z",
    "title_canon_sha256": "c5f7fc2218dc7fae9a98efed967da2dcbda470a856b0208caad4e5fbf4477a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1269",
    "kind": "arxiv",
    "version": 2
  }
}