Pith Number

pith:M2AACCUO

pith:2018:M2AACCUOP3ACXCTQTBCBGGCYVJ

not attested not anchored not stored refs pending

Lower bounds for Combinatorial Algorithms for Boolean Matrix Multiplication

Debarati Das, Michael Saks, Michal Kouck\'y

arxiv:1801.05202 v1 · 2018-01-16 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2AACCUOP3ACXCTQTBCBGGCYVJ}

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	2026-05-18T00:25:47.549581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6680010a8e7ec02b8a709844131858aa4367deed9127200619bccf6f3dafafb9

Aliases

arxiv: 1801.05202 · arxiv_version: 1801.05202v1 · doi: 10.48550/arxiv.1801.05202 · pith_short_12: M2AACCUOP3AC · pith_short_16: M2AACCUOP3ACXCTQ · pith_short_8: M2AACCUO

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/M2AACCUOP3ACXCTQTBCBGGCYVJ \
  | 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: 6680010a8e7ec02b8a709844131858aa4367deed9127200619bccf6f3dafafb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa0756b7b405efadc7592c12e743616ef08d83bc5ab1dcd3bc82dbb9e42d1fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-01-16T10:49:10Z",
    "title_canon_sha256": "f2e0bbf9ce3deaeffc41d06652c6cfaa85d9de4542cd4450b950362004cee122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05202",
    "kind": "arxiv",
    "version": 1
  }
}