Pith Number

pith:BVRKJG76

pith:2014:BVRKJG76YH3SYIKVHUFYC5NJKZ

not attested not anchored not stored refs pending

On the weighted reverse order laws for the Moore-Penrose inverse and K-inverses

Dragana S. Cvetkovic-Ilic, Enrico Boasso, Robin Harte

arxiv:1401.7797 v1 · 2014-01-30 · 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{BVRKJG76YH3SYIKVHUFYC5NJKZ}

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	2026-05-18T03:00:38.368476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d62a49bfec1f72c21553d0b8175a9564d4d676492763d32d16ddb2f29c08abb

Aliases

arxiv: 1401.7797 · arxiv_version: 1401.7797v1 · doi: 10.48550/arxiv.1401.7797 · pith_short_12: BVRKJG76YH3S · pith_short_16: BVRKJG76YH3SYIKV · pith_short_8: BVRKJG76

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/BVRKJG76YH3SYIKVHUFYC5NJKZ \
  | 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: 0d62a49bfec1f72c21553d0b8175a9564d4d676492763d32d16ddb2f29c08abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74117a47da84a2695b36b37a08c45e9130998df16aaf470a30de7bbf923c723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-01-30T11:10:27Z",
    "title_canon_sha256": "116da768e1d65e5d5a469553533ed44b496683415fca0c0b6b7681ba7830dc79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7797",
    "kind": "arxiv",
    "version": 1
  }
}