Pith Number

pith:XNV34MQH

pith:2012:XNV34MQHBMYXQK2LPGTAPZYY7C

not attested not anchored not stored refs pending

On torsion units in integral group rings of Frobenius groups

Martin Hertweck

arxiv:1207.5256 v1 · 2012-07-22 · math.RT · 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{XNV34MQHBMYXQK2LPGTAPZYY7C}

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	2026-05-18T03:50:24.053258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb6bbe32070b31782b4b79a607e718f899e7f71c30591e3a18afe3d617483f75

Aliases

arxiv: 1207.5256 · arxiv_version: 1207.5256v1 · doi: 10.48550/arxiv.1207.5256 · pith_short_12: XNV34MQHBMYX · pith_short_16: XNV34MQHBMYXQK2L · pith_short_8: XNV34MQH

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/XNV34MQHBMYXQK2LPGTAPZYY7C \
  | 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: bb6bbe32070b31782b4b79a607e718f899e7f71c30591e3a18afe3d617483f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c195dc0bc180993e98102110b0bc2a4f91451459cb9eb14944aa7aa5df03460",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-22T20:10:18Z",
    "title_canon_sha256": "4437192212511a4fa571ea3614b3b37a96a0f7d71737f57a90a6c06b14491085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5256",
    "kind": "arxiv",
    "version": 1
  }
}