Pith Number

pith:AI3LJUGR

pith:2011:AI3LJUGRRP5A4FSAEJ2WXBJLD7

not attested not anchored not stored refs pending

Writing units of integral group rings of finite abelian groups as a product of Bass units

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

arxiv:1111.3485 v2 · 2011-11-15 · 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{AI3LJUGRRP5A4FSAEJ2WXBJLD7}

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	2026-05-18T03:54:39.234009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0236b4d0d18bfa0e164022756b852b1ffc537f3cc566e6f6a7796be0bb8c2062

Aliases

arxiv: 1111.3485 · arxiv_version: 1111.3485v2 · doi: 10.48550/arxiv.1111.3485 · pith_short_12: AI3LJUGRRP5A · pith_short_16: AI3LJUGRRP5A4FSA · pith_short_8: AI3LJUGR

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/AI3LJUGRRP5A4FSAEJ2WXBJLD7 \
  | 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: 0236b4d0d18bfa0e164022756b852b1ffc537f3cc566e6f6a7796be0bb8c2062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445870a4c193191fc2418b0722f11412d155a4c388db31ca1d49e9e2125bf526",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-15T10:15:36Z",
    "title_canon_sha256": "0036314d3a05154c6f037cc4fa3d3facf201d5752045bff9a187d417534c0151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3485",
    "kind": "arxiv",
    "version": 2
  }
}