Pith Number

pith:ALINO6ES

pith:2019:ALINO6ESPROOPWO5RWJXHTIV75

not attested not anchored not stored refs pending

T-Jordan Canonical Form and T-Drazin Inverse based on the T-Product

Liqun Qi, Yimin Wei, Yun Miao

arxiv:1902.07024 v2 · 2019-02-19 · math.NA · cs.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{ALINO6ESPROOPWO5RWJXHTIV75}

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	2026-07-05T00:14:18.996926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d0d778927c5ce7d9dd8d9373cd15ff7e49d6caba0edf5190a79866d749da2b

Aliases

arxiv: 1902.07024 · arxiv_version: 1902.07024v2 · doi: 10.48550/arxiv.1902.07024 · pith_short_12: ALINO6ESPROO · pith_short_16: ALINO6ESPROOPWO5 · pith_short_8: ALINO6ES

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/ALINO6ESPROOPWO5RWJXHTIV75 \
  | 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: 02d0d778927c5ce7d9dd8d9373cd15ff7e49d6caba0edf5190a79866d749da2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbbe58230d0f4822aa3c74837e2d884c7a8d545ba848bf77f973bdc4cfbb37a0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-02-19T12:36:47Z",
    "title_canon_sha256": "017c0d50a6696ddc51cd1b46b468100f898ca6bafa959517ad30c4cdfe492db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07024",
    "kind": "arxiv",
    "version": 2
  }
}