Pith Number

pith:OWONO3PL

pith:2016:OWONO3PLNSTEOBHTR4G26ITWAU

not attested not anchored not stored refs pending

A new expression for the Moore-Penrose inverse of a class of matrices

Xuefeng Xu

arxiv:1612.01124 v1 · 2016-12-04 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWONO3PLNSTEOBHTR4G26ITWAU}

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	2026-05-18T00:55:53.305547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

759cd76deb6ca64704f38f0daf22760501bc6075d664d920feb5ba0e8b62d9f1

Aliases

arxiv: 1612.01124 · arxiv_version: 1612.01124v1 · doi: 10.48550/arxiv.1612.01124 · pith_short_12: OWONO3PLNSTE · pith_short_16: OWONO3PLNSTEOBHT · pith_short_8: OWONO3PL

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/OWONO3PLNSTEOBHTR4G26ITWAU \
  | 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: 759cd76deb6ca64704f38f0daf22760501bc6075d664d920feb5ba0e8b62d9f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7893c2aa7df8d404ee03b368fa9abecc4c9a25053f7f8c8bc797fadbe0c509b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-04T14:12:57Z",
    "title_canon_sha256": "be47c841429e2276fa0b3dba531d354af9f81c32bee72f7e531c0197fbca8478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01124",
    "kind": "arxiv",
    "version": 1
  }
}