Pith Number

pith:CU5RZYJN

pith:2014:CU5RZYJN5ZQR65OSDM3OV3T5OM

not attested not anchored not stored refs pending

Fast Matrix Multiplication: Limitations of the Laser Method

Andris Ambainis, Fran\c{c}ois Le Gall, Yuval Filmus

arxiv:1411.5414 v1 · 2014-11-20 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU5RZYJN5ZQR65OSDM3OV3T5OM}

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	2026-07-05T03:19:36.785224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153b1ce12dee611f75d21b36eaee7d73270718154acf398fe751ff215f0df354

Aliases

arxiv: 1411.5414 · arxiv_version: 1411.5414v1 · doi: 10.48550/arxiv.1411.5414 · pith_short_12: CU5RZYJN5ZQR · pith_short_16: CU5RZYJN5ZQR65OS · pith_short_8: CU5RZYJN

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/CU5RZYJN5ZQR65OSDM3OV3T5OM \
  | 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: 153b1ce12dee611f75d21b36eaee7d73270718154acf398fe751ff215f0df354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bc01f0622c1343f3c04143bddccd622219b42666c16574d57022404ebd8807f",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-11-20T01:07:08Z",
    "title_canon_sha256": "84c4cdf19950ab2eb261f50d5bf7c8df3774392bc2e7651c93f364c7fa9da8cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5414",
    "kind": "arxiv",
    "version": 1
  }
}