Pith Number

pith:SZXZYZ3L

pith:2026:SZXZYZ3LHIZALJMPCNG3H4IRMM

not attested not anchored not stored refs pending

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme

Nick Palladinos

arxiv:2607.29291 v1 · 2026-07-31 · cs.SC · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZXZYZ3LHIZALJMPCNG3H4IRMM}

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	2026-08-03T01:23:53.498902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

966f9c676b3a3205a58f134db3f1116316bf7f3f9059cc6f267b0a32b750a591

Aliases

arxiv: 2607.29291 · arxiv_version: 2607.29291v1 · doi: 10.48550/arxiv.2607.29291 · pith_short_12: SZXZYZ3LHIZA · pith_short_16: SZXZYZ3LHIZALJMP · pith_short_8: SZXZYZ3L

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/SZXZYZ3LHIZALJMPCNG3H4IRMM \
  | 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: 966f9c676b3a3205a58f134db3f1116316bf7f3f9059cc6f267b0a32b750a591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b890b79f3bf74c0f23999f164ea626c86c09ecb9db1fa913ae69716acc190779",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2026-07-31T11:09:22Z",
    "title_canon_sha256": "cff47bef5131aadb7736f081c8dab0ad069cdd837a64116bf3c63e3d87a7615d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29291",
    "kind": "arxiv",
    "version": 1
  }
}