Pith Number

pith:XBESCEVV

pith:2013:XBESCEVVQDX4GCCJ36NIL64GG4

not attested not anchored not stored refs pending

Drazin Invertibility of Product and Difference of Idempotents in a Ring

Huihui Zhu, Jianlong Chen

arxiv:1307.3815 v1 · 2013-07-15 · 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{XBESCEVVQDX4GCCJ36NIL64GG4}

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	2026-05-18T03:18:27.837889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8492112b580efc30849df9a85fb86371f3a7d1a973359c8cd3eca853963e58f

Aliases

arxiv: 1307.3815 · arxiv_version: 1307.3815v1 · doi: 10.48550/arxiv.1307.3815 · pith_short_12: XBESCEVVQDX4 · pith_short_16: XBESCEVVQDX4GCCJ · pith_short_8: XBESCEVV

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/XBESCEVVQDX4GCCJ36NIL64GG4 \
  | 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: b8492112b580efc30849df9a85fb86371f3a7d1a973359c8cd3eca853963e58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ae82d19c7b7e6ae3e06145979df073d5fbfc0320441721a5dc381a447b77fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-15T04:19:50Z",
    "title_canon_sha256": "de54621d414e13716dc7fe62b985b1b2afddfbe82972886b640de2473f6a773a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3815",
    "kind": "arxiv",
    "version": 1
  }
}