Pith Number

pith:WNPGUBYF

pith:2014:WNPGUBYFBCELC5H5NOPPRF4VS5

not attested not anchored not stored refs pending

Torsion subgroups in the units of the integral group ring of PSL(2,p^3)

Andreas B\"achle, Leo Margolis

arxiv:1412.7700 v2 · 2014-12-24 · math.GR · 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{WNPGUBYFBCELC5H5NOPPRF4VS5}

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	2026-05-18T01:12:58.663037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35e6a07050888b174fd6b9ef897959773b33be43cb25feee5a15d40cbcba24b

Aliases

arxiv: 1412.7700 · arxiv_version: 1412.7700v2 · doi: 10.48550/arxiv.1412.7700 · pith_short_12: WNPGUBYFBCEL · pith_short_16: WNPGUBYFBCELC5H5 · pith_short_8: WNPGUBYF

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/WNPGUBYFBCELC5H5NOPPRF4VS5 \
  | 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: b35e6a07050888b174fd6b9ef897959773b33be43cb25feee5a15d40cbcba24b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a72dc90dc929b7d6010706199fbb50c64e9a137fc243934de801b9027e22083",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-24T16:17:50Z",
    "title_canon_sha256": "c0d296fbea8ed26af741ad7331f36320e8b6292869408ee0ea3390d1af7d69cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7700",
    "kind": "arxiv",
    "version": 2
  }
}