Pith Number

pith:4DFS3VBX

pith:2015:4DFS3VBX4DJLI3CPR5U6FLG7GJ

not attested not anchored not stored refs pending

New determinantal representations of the W-weighted Drazin inverse over the quaternion skew field

Ivan Kyrchei

arxiv:1503.03668 v2 · 2015-03-12 · 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{4DFS3VBX4DJLI3CPR5U6FLG7GJ}

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	2026-05-18T01:22:54.213775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cb2dd437e0d2b46c4f8f69e2acdf32483fa3b769c9f6f7c9d323c4b0460029

Aliases

arxiv: 1503.03668 · arxiv_version: 1503.03668v2 · doi: 10.48550/arxiv.1503.03668 · pith_short_12: 4DFS3VBX4DJL · pith_short_16: 4DFS3VBX4DJLI3CP · pith_short_8: 4DFS3VBX

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/4DFS3VBX4DJLI3CPR5U6FLG7GJ \
  | 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: e0cb2dd437e0d2b46c4f8f69e2acdf32483fa3b769c9f6f7c9d323c4b0460029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d12dcc79522cf979de09e85265792819bcfcc52417893164e4a4fc917359a90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-03-12T10:56:14Z",
    "title_canon_sha256": "f8554f25d62e36031e7b236d1a6daea8ee8faec336cdb368187d10724b859898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03668",
    "kind": "arxiv",
    "version": 2
  }
}