Pith Number

pith:VVUXSZIN

pith:2016:VVUXSZINHTHQXSB25ADSBMXVZS

not attested not anchored not stored refs pending

Determinantal representations of the quaternion weighted Moore-Penrose inverse and corresponding Cramer's rule

Ivan Kyrchei

arxiv:1604.00243 v1 · 2016-04-01 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVUXSZINHTHQXSB25ADSBMXVZS}

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	2026-05-18T01:17:54.230556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6979650d3ccf0bc83ae80720b2f5ccb229568819ab91ca0d6b261517333dc9

Aliases

arxiv: 1604.00243 · arxiv_version: 1604.00243v1 · doi: 10.48550/arxiv.1604.00243 · pith_short_12: VVUXSZINHTHQ · pith_short_16: VVUXSZINHTHQXSB2 · pith_short_8: VVUXSZIN

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/VVUXSZINHTHQXSB25ADSBMXVZS \
  | 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: ad6979650d3ccf0bc83ae80720b2f5ccb229568819ab91ca0d6b261517333dc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "463006858974d62f838089d3ca007a85d41d56a6d0cbedf41019a61354090774",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-04-01T13:45:41Z",
    "title_canon_sha256": "92c7d4f2b8dd256a93f75aae4e808f060f86e34c997e566a22250b7de18486e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00243",
    "kind": "arxiv",
    "version": 1
  }
}