Pith Number

pith:VSA7BFIV

pith:2026:VSA7BFIVSWQ2BGAK3I4DFKHI2W

not attested not anchored not stored refs pending

A more accurate rational non-commutative algorithm for multiplying 4x4 matrices using 48 multiplications

Alexandre Sedoglavic (CRIStAL), CASC), Cl\'ement Pernet (UGA, Jean-Guillaume Dumas (UGA, LJK, LJK)

arxiv:2603.18699 v2 · 2026-03-19 · cs.DS · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSA7BFIVSWQ2BGAK3I4DFKHI2W}

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	2026-07-28T02:23:28.380458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac81f0951595a1a0980ada3832a8e8d5b0ba19e43cbf7e3ec66c1942ea1f73ca

Aliases

arxiv: 2603.18699 · arxiv_version: 2603.18699v2 · doi: 10.48550/arxiv.2603.18699 · pith_short_12: VSA7BFIVSWQ2 · pith_short_16: VSA7BFIVSWQ2BGAK · pith_short_8: VSA7BFIV

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/VSA7BFIVSWQ2BGAK3I4DFKHI2W \
  | 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: ac81f0951595a1a0980ada3832a8e8d5b0ba19e43cbf7e3ec66c1942ea1f73ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93723024e25755520827640609d1c098627a6ba56f2ea4b8a7ff5fe766d31ed7",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-03-19T09:58:19Z",
    "title_canon_sha256": "e447f2e98fc07557e3e30d31d428a9de4e8f4e30738ab78445480f01eb9c1e91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.18699",
    "kind": "arxiv",
    "version": 2
  }
}