Pith Number

pith:YXPSOAVP

pith:2015:YXPSOAVPZ3HIVJWSLO7XZDHQJQ

not attested not anchored not stored refs pending

Determinantal representations of W-weighted Drazin inverse solutions of some quaternion matrix equations

Ivan Kyrchei

arxiv:1509.07883 v2 · 2015-09-25 · 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{YXPSOAVPZ3HIVJWSLO7XZDHQJQ}

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	2026-05-18T01:20:11.117949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5df2702afcece8aa6d25bbf7c8cf04c0a1401f63f004dc5a566f8de6da8329a

Aliases

arxiv: 1509.07883 · arxiv_version: 1509.07883v2 · doi: 10.48550/arxiv.1509.07883 · pith_short_12: YXPSOAVPZ3HI · pith_short_16: YXPSOAVPZ3HIVJWS · pith_short_8: YXPSOAVP

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/YXPSOAVPZ3HIVJWSLO7XZDHQJQ \
  | 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: c5df2702afcece8aa6d25bbf7c8cf04c0a1401f63f004dc5a566f8de6da8329a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af2aac6b07abf6740af4888777dbab57f6e987b607c523de07be2ad44c555f6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-25T20:21:07Z",
    "title_canon_sha256": "9049f5f0229275a3b95e8b29d22b1d866e4bf30b250faa1b75d72c53511353a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07883",
    "kind": "arxiv",
    "version": 2
  }
}