Pith Number

pith:HK3VPI6A

pith:2026:HK3VPI6AOWL5QUKU5IP64JCBKL

not attested not anchored not stored refs pending

Iterative Methods for Computing the Moore--Penrose Inverse of Split-Quaternion Matrices with Applications

Mohammad S. Alkousa, Salman Ahmadi-Asl, Valentin Leplat

arxiv:2607.29270 v1 · 2026-07-31 · 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{HK3VPI6AOWL5QUKU5IP64JCBKL}

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	2026-08-03T01:23:10.930326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab757a3c07597d85154ea1fee244152dd05602d20f56ac19355d70b03a2b7de

Aliases

arxiv: 2607.29270 · arxiv_version: 2607.29270v1 · doi: 10.48550/arxiv.2607.29270 · pith_short_12: HK3VPI6AOWL5 · pith_short_16: HK3VPI6AOWL5QUKU · pith_short_8: HK3VPI6A

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/HK3VPI6AOWL5QUKU5IP64JCBKL \
  | 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: 3ab757a3c07597d85154ea1fee244152dd05602d20f56ac19355d70b03a2b7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a5f90b2a089a2a357a017ec18534b122838c1f7a72c21f570a0026221066e7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-31T10:40:51Z",
    "title_canon_sha256": "d23e90557518f0d66d98b2fee330dd7e163497b0ca3c265696d96f7997aec0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29270",
    "kind": "arxiv",
    "version": 1
  }
}