Pith Number

pith:OZNABWJK

pith:2013:OZNABWJKBEEPACX5KJE3NPHI6R

not attested not anchored not stored refs pending

Representations of the Drazin inverse involving idempotents in a ring

Huihui Zhu, Jianlong Chen

arxiv:1307.6623 v1 · 2013-07-25 · 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{OZNABWJKBEEPACX5KJE3NPHI6R}

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	2026-05-18T03:17:35.776344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

765a00d92a0908f00afd5249b6bce8f444b640e103597b46f10375bc48bd1f29

Aliases

arxiv: 1307.6623 · arxiv_version: 1307.6623v1 · doi: 10.48550/arxiv.1307.6623 · pith_short_12: OZNABWJKBEEP · pith_short_16: OZNABWJKBEEPACX5 · pith_short_8: OZNABWJK

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/OZNABWJKBEEPACX5KJE3NPHI6R \
  | 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: 765a00d92a0908f00afd5249b6bce8f444b640e103597b46f10375bc48bd1f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e92604276f4414f3a78d9b75a6f398d636bba7216849c1f498c7d2ec9031c5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-25T02:02:58Z",
    "title_canon_sha256": "7ae7f17a38081721de2ff0e2c221138d12e926d6010f25a236eebcbcf76cb1e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6623",
    "kind": "arxiv",
    "version": 1
  }
}