Pith Number

pith:CZON7MH3

pith:2015:CZON7MH3SKVS4MXUV6V2TCMSWH

not attested not anchored not stored refs pending

New characterizations for core inverses in rings with involution

Jianlong Chen, Sanzhang Xu, Xiaoxiang Zhang

arxiv:1512.08073 v1 · 2015-12-26 · 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{CZON7MH3SKVS4MXUV6V2TCMSWH}

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	2026-05-18T01:23:43.356916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165cdfb0fb92ab2e32f4afaba98992b1cd7db85a423e9300da434b84c58e6409

Aliases

arxiv: 1512.08073 · arxiv_version: 1512.08073v1 · doi: 10.48550/arxiv.1512.08073 · pith_short_12: CZON7MH3SKVS · pith_short_16: CZON7MH3SKVS4MXU · pith_short_8: CZON7MH3

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/CZON7MH3SKVS4MXUV6V2TCMSWH \
  | 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: 165cdfb0fb92ab2e32f4afaba98992b1cd7db85a423e9300da434b84c58e6409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e5bedb03c7de25045d0625777c9ce9e66d4f24523c93b694785f7e8e4fc32e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-26T04:47:08Z",
    "title_canon_sha256": "cba67298078e373741d659ed78086e921ccbdc92b688736e3cca9972beb09993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08073",
    "kind": "arxiv",
    "version": 1
  }
}