Pith Number

pith:OZX2RBZR

pith:2016:OZX2RBZRNAFHZKWP4X4OSJNFNY

not attested not anchored not stored refs pending

Pseudo Principal Pivot Transform: The Group Inverse Case

Kavita Bisht, K.C. Sivakumar

arxiv:1605.01970 v1 · 2016-05-05 · 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{OZX2RBZRNAFHZKWP4X4OSJNFNY}

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	2026-05-18T01:15:30.780215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766fa88731680a7caacfe5f8e925a56e35caab0fafd3ab02ac6c87dd5db01a07

Aliases

arxiv: 1605.01970 · arxiv_version: 1605.01970v1 · doi: 10.48550/arxiv.1605.01970 · pith_short_12: OZX2RBZRNAFH · pith_short_16: OZX2RBZRNAFHZKWP · pith_short_8: OZX2RBZR

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/OZX2RBZRNAFHZKWP4X4OSJNFNY \
  | 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: 766fa88731680a7caacfe5f8e925a56e35caab0fafd3ab02ac6c87dd5db01a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9bb0c2a9cd204b13862a0eddb2b32b2bca22ab92ada2997e210e52f06fe71f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-05-05T10:32:50Z",
    "title_canon_sha256": "d041d909f1b1442764df9021e11ac22e963458349f378b6adb8af8e871bd2892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01970",
    "kind": "arxiv",
    "version": 1
  }
}