Pith Number

pith:4LXPF6UJ

pith:2011:4LXPF6UJ6GJD7ENX2MY4RKQL5R

not attested not anchored not stored refs pending

A New General-Purpose Method to Multiply 3x3 Matrices Using Only 23 Multiplications

Daniel Hulme, Gregory V. Bard, Nicolas T. Courtois

arxiv:1108.2830 v3 · 2011-08-14 · cs.SC · cs.CC · math.NA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LXPF6UJ6GJD7ENX2MY4RKQL5R}

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	2026-05-18T04:15:06.335103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2eef2fa89f1923f91b7d331c8aa0bec66ea80ebf0d9d926a69404868bedaf9a

Aliases

arxiv: 1108.2830 · arxiv_version: 1108.2830v3 · doi: 10.48550/arxiv.1108.2830 · pith_short_12: 4LXPF6UJ6GJD · pith_short_16: 4LXPF6UJ6GJD7ENX · pith_short_8: 4LXPF6UJ

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/4LXPF6UJ6GJD7ENX2MY4RKQL5R \
  | 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: e2eef2fa89f1923f91b7d331c8aa0bec66ea80ebf0d9d926a69404868bedaf9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865d8ca960226669aed92ca2bd026aada5d542e67346a4007bb088a6775ef616",
    "cross_cats_sorted": [
      "cs.CC",
      "math.NA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2011-08-14T00:23:37Z",
    "title_canon_sha256": "83d7ca282beae45b6c1e95a3978368b42a8dc4282e42237d8b6b363bcf2b7507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2830",
    "kind": "arxiv",
    "version": 3
  }
}