Pith Number

pith:O6DKOB5W

pith:2025:O6DKOB5WC4EEEGF65HDV35ZU2Y

not attested not anchored not stored refs pending

A non-commutative algorithm for multiplying 4x4 matrices using 48 non-complex multiplications

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

arxiv:2506.13242 v7 · 2025-06-16 · 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{O6DKOB5WC4EEEGF65HDV35ZU2Y}

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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.

Cited by

2 papers in Pith

A catalog of fast matrix multiplication algorithms with frontier-closure search

Exploiting the Structure in Tensor Decompositions for Matrix Multiplication

Receipt and verification

First computed	2026-07-28T02:23:15.234443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7786a707b617084218bee9c75df734d61749431d63511c27a614d8182df790ca

Aliases

arxiv: 2506.13242 · arxiv_version: 2506.13242v7 · doi: 10.48550/arxiv.2506.13242 · pith_short_12: O6DKOB5WC4EE · pith_short_16: O6DKOB5WC4EEEGF6 · pith_short_8: O6DKOB5W

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/O6DKOB5WC4EEEGF65HDV35ZU2Y \
  | 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: 7786a707b617084218bee9c75df734d61749431d63511c27a614d8182df790ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb53c3a5b548be9b73ec124de2fac2ed57a19830402986fc1cc71df6019a5898",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2025-06-16T08:42:15Z",
    "title_canon_sha256": "ea3d11c54c2b0996cdf54a3faccfbb01dde40a892dc6168a8c494239578b72dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13242",
    "kind": "arxiv",
    "version": 7
  }
}