Pith Number

pith:VILDXCUX

pith:2017:VILDXCUXRMMSQXOK4FIWLQQUX2

not attested not anchored not stored refs pending

Zero divisor and unit elements with support of size 4 in group algebras of torsion free groups

Alireza Abdollahi, Fatemeh Jafari

arxiv:1709.08204 v2 · 2017-09-24 · math.GR · 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{VILDXCUXRMMSQXOK4FIWLQQUX2}

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	2026-05-18T00:32:50.137453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa163b8a978b19285dcae15165c214be84d91baa126376d633dc329e0119ad86

Aliases

arxiv: 1709.08204 · arxiv_version: 1709.08204v2 · doi: 10.48550/arxiv.1709.08204 · pith_short_12: VILDXCUXRMMS · pith_short_16: VILDXCUXRMMSQXOK · pith_short_8: VILDXCUX

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/VILDXCUXRMMSQXOK4FIWLQQUX2 \
  | 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: aa163b8a978b19285dcae15165c214be84d91baa126376d633dc329e0119ad86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ad18fa5c0680ff7447e1df124ede7a8d958d12f2dea2361ab454a2174df4ef",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-24T14:43:53Z",
    "title_canon_sha256": "6e7f64d17354cef2b33b53fcd2adf5edb55956fb78425fdc27d52bd3eb17a9a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08204",
    "kind": "arxiv",
    "version": 2
  }
}