Pith Number

pith:KO5VBOF2

pith:2019:KO5VBOF2DK3WTYO77UF7YIZINV

not attested not anchored not stored refs pending

A necessary condition for zero divisors in complex group algebra of torsion-free groups

Alireza Abdollahi, Meisam Soleimani Malekan

arxiv:1905.00951 v1 · 2019-05-02 · math.GR · math.OA · 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{KO5VBOF2DK3WTYO77UF7YIZINV}

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	2026-05-17T23:47:08.152897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53bb50b8ba1ab769e1dffd0bfc23286d448a9ac92dbda9eea4215dd306806258

Aliases

arxiv: 1905.00951 · arxiv_version: 1905.00951v1 · doi: 10.48550/arxiv.1905.00951 · pith_short_12: KO5VBOF2DK3W · pith_short_16: KO5VBOF2DK3WTYO7 · pith_short_8: KO5VBOF2

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/KO5VBOF2DK3WTYO77UF7YIZINV \
  | 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: 53bb50b8ba1ab769e1dffd0bfc23286d448a9ac92dbda9eea4215dd306806258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cda74bd16b1461910535f141373610f76ebc7303dc2288190b19d66f802f347",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-02T20:30:10Z",
    "title_canon_sha256": "c80430edddb4759c5bfc53bcf1e11e0eae61f6e7d35ed8495f0df897817a32ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00951",
    "kind": "arxiv",
    "version": 1
  }
}