pith. sign in
Pith Number

pith:6GE6F7GF

pith:2016:6GE6F7GFKGIGL3LG74YBZLWW64
not attested not anchored not stored refs pending

Conjugate (nil) clean rings and Kothe's problem

Jerzy Matczuk

arxiv:1605.09534 v1 · 2016-05-31 · 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{6GE6F7GFKGIGL3LG74YBZLWW64}

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 2026-05-18T01:03:26.364042Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f189e2fcc5519065ed66ff301caed6f7216e81eefbe92935ba03f7f51554dd9b

Aliases

arxiv: 1605.09534 · arxiv_version: 1605.09534v1 · doi: 10.48550/arxiv.1605.09534 · pith_short_12: 6GE6F7GFKGIG · pith_short_16: 6GE6F7GFKGIGL3LG · pith_short_8: 6GE6F7GF
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/6GE6F7GFKGIGL3LG74YBZLWW64 \
  | 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: f189e2fcc5519065ed66ff301caed6f7216e81eefbe92935ba03f7f51554dd9b
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "f8f85a0fd4c77658421b433bf54ca2e778a016d4268f76c3e54c1c7289551b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-05-31T09:01:11Z",
    "title_canon_sha256": "cdbc0884bfc669d19012d3ecd0c6fc39e63b58c555db1ac2fb1246484902a6aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09534",
    "kind": "arxiv",
    "version": 1
  }
}