Pith Number

pith:X7VEAMSR

pith:2017:X7VEAMSR3XBU6KBH7HERFXXL2K

not attested not anchored not stored refs pending

Weakly $r$-clean rings and weakly $\star$-clean rings

Ajay Sharma, Dhiren Kumar Basnet

arxiv:1702.06734 v1 · 2017-02-22 · 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{X7VEAMSR3XBU6KBH7HERFXXL2K}

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	2026-05-18T00:50:12.797472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfea403251ddc34f2827f9c912deebd2b3d17529cbbeb6a9a10b9712bc296d4b

Aliases

arxiv: 1702.06734 · arxiv_version: 1702.06734v1 · doi: 10.48550/arxiv.1702.06734 · pith_short_12: X7VEAMSR3XBU · pith_short_16: X7VEAMSR3XBU6KBH · pith_short_8: X7VEAMSR

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/X7VEAMSR3XBU6KBH7HERFXXL2K \
  | 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: bfea403251ddc34f2827f9c912deebd2b3d17529cbbeb6a9a10b9712bc296d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c106c8b17c43fc5cccdfa8effb530fa2d24e8046001ad886d6a59c43816b1c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-02-22T10:13:59Z",
    "title_canon_sha256": "fb7e4ce51344cb4930a1c7cb77f12337787791bdb1266b6649620f25e25c14f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06734",
    "kind": "arxiv",
    "version": 1
  }
}