Pith Number

pith:C6H7YYQB

pith:2012:C6H7YYQBWMMK6VQ2OQO55UAMHY

not attested not anchored not stored refs pending

New lower bounds for the rank of matrix multiplication

J. M. Landsberg

arxiv:1206.1530 v2 · 2012-06-07 · cs.CC · math.AG · 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{C6H7YYQBWMMK6VQ2OQO55UAMHY}

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	2026-05-18T03:08:27.362260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178ffc6201b318af561a741dded00c3e2c5c7cf0d230722ee1c138ac772f39c9

Aliases

arxiv: 1206.1530 · arxiv_version: 1206.1530v2 · doi: 10.48550/arxiv.1206.1530 · pith_short_12: C6H7YYQBWMMK · pith_short_16: C6H7YYQBWMMK6VQ2 · pith_short_8: C6H7YYQB

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/C6H7YYQBWMMK6VQ2OQO55UAMHY \
  | 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: 178ffc6201b318af561a741dded00c3e2c5c7cf0d230722ee1c138ac772f39c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a4f68b4b85aaa90634f746ca324ebd4eed539f79cbe3113ebc28f4ffbf5ae3",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-06-07T15:36:36Z",
    "title_canon_sha256": "18a5204d8c066bf027b7fe1fd12f829833a6bf0f600f0c1da000c5b2438bdbde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1530",
    "kind": "arxiv",
    "version": 2
  }
}