Pith Number

pith:7S32BWBH

pith:2016:7S32BWBHGE7HWQVZJR22SF5ZO4

not attested not anchored not stored refs pending

Group algebras whose groups of normalized units have exponent 4

M.A. Salim, V.A. Bovdi

arxiv:1606.07589 v2 · 2016-06-24 · math.RA · math.GR · 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{7S32BWBHGE7HWQVZJR22SF5ZO4}

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	2026-05-18T01:10:42.530836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb7a0d827313e7b42b94c75a917b97724ee571ddc2f3feda13961172e2ab1d8

Aliases

arxiv: 1606.07589 · arxiv_version: 1606.07589v2 · doi: 10.48550/arxiv.1606.07589 · pith_short_12: 7S32BWBHGE7H · pith_short_16: 7S32BWBHGE7HWQVZ · pith_short_8: 7S32BWBH

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/7S32BWBHGE7HWQVZJR22SF5ZO4 \
  | 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: fcb7a0d827313e7b42b94c75a917b97724ee571ddc2f3feda13961172e2ab1d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4825f702a150b49ea2acda40b84524a1c15a564ea5f423fb4a62cfac57c1b333",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-24T07:56:20Z",
    "title_canon_sha256": "683a3f8d1b28bfbc7bd65c4ab21db2e64fa43e0045d39a132818cab84b689577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07589",
    "kind": "arxiv",
    "version": 2
  }
}