Pith Number

pith:OD2FSWZM

pith:2018:OD2FSWZMDLNVYQKDDD6EKEBVKR

not attested not anchored not stored refs pending

The complexity of matrix multiplication: developments since 2014. Extended abstract of 2018 Oberwolfach Complexity meeting plenary lecture

Joseph M. Landsberg

arxiv:1811.11667 v1 · 2018-11-28 · cs.CC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OD2FSWZMDLNVYQKDDD6EKEBVKR}

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	2026-05-17T23:59:40.333060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f4595b2c1adb5c414318fc45103554786017355d033d69e7b30eaf2ae8ed7f

Aliases

arxiv: 1811.11667 · arxiv_version: 1811.11667v1 · doi: 10.48550/arxiv.1811.11667 · pith_short_12: OD2FSWZMDLNV · pith_short_16: OD2FSWZMDLNVYQKD · pith_short_8: OD2FSWZM

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/OD2FSWZMDLNVYQKDDD6EKEBVKR \
  | 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: 70f4595b2c1adb5c414318fc45103554786017355d033d69e7b30eaf2ae8ed7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3722d90d3e8f6166a732988caf5dfc36faf151c3557533c57d975bcc08311788",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-11-28T16:47:28Z",
    "title_canon_sha256": "0171b917c9a475923561757424b24209b8579446c85eff91bfde6a3f54ba36cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11667",
    "kind": "arxiv",
    "version": 1
  }
}