Pith Number

pith:JFUA4KR4

pith:2013:JFUA4KR4ZS4OP24LKF5736MSCH

not attested not anchored not stored refs pending

Computing generators of the unit group of an integral abelian group ring

Paolo Faccin, Wilhelm Plesken, Willem A. de Graaf

arxiv:1301.1770 v1 · 2013-01-09 · 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{JFUA4KR4ZS4OP24LKF5736MSCH}

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	2026-05-18T03:36:55.966271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49680e2a3cccb8e7eb8b517bfdf99211c4d72c6602ed977da7f560b82f6fe3c9

Aliases

arxiv: 1301.1770 · arxiv_version: 1301.1770v1 · doi: 10.48550/arxiv.1301.1770 · pith_short_12: JFUA4KR4ZS4O · pith_short_16: JFUA4KR4ZS4OP24L · pith_short_8: JFUA4KR4

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/JFUA4KR4ZS4OP24LKF5736MSCH \
  | 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: 49680e2a3cccb8e7eb8b517bfdf99211c4d72c6602ed977da7f560b82f6fe3c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e42f2a5d5266f2536ad66cba6190ea936a317721dcb064928470c935aa4842e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-09T07:39:49Z",
    "title_canon_sha256": "c75af594eeecdb295902a48b3d7e99a336a457e13635e25f98794e4abd2ecbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1770",
    "kind": "arxiv",
    "version": 1
  }
}