Pith Number

pith:KG3E645Y

pith:2013:KG3E645YARZ6NRRJXF7MDKFBBJ

not attested not anchored not stored refs pending

Additive and product properties of Drazin inverses of elements in a ring

Huihui Zhu, Jianlong Chen

arxiv:1307.7229 v1 · 2013-07-27 · 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{KG3E645YARZ6NRRJXF7MDKFBBJ}

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	2026-05-18T03:17:23.825802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51b64f73b80473e6c629b97ec1a8a10a623a0fab35aed9ad85e77abdc2623bee

Aliases

arxiv: 1307.7229 · arxiv_version: 1307.7229v1 · doi: 10.48550/arxiv.1307.7229 · pith_short_12: KG3E645YARZ6 · pith_short_16: KG3E645YARZ6NRRJ · pith_short_8: KG3E645Y

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/KG3E645YARZ6NRRJXF7MDKFBBJ \
  | 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: 51b64f73b80473e6c629b97ec1a8a10a623a0fab35aed9ad85e77abdc2623bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed22eae5c8ab0c61c1eb274e85e9d81cf25f3f58c7533c21ee0a655c900cc182",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-27T07:57:58Z",
    "title_canon_sha256": "c105ae1b870d57063842d95b5d45874e041e19a960742b69389bf2d1cf73cd34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7229",
    "kind": "arxiv",
    "version": 1
  }
}