Pith Number

pith:QM5KBMMX

pith:2018:QM5KBMMXRDM4COYXDRTEOP3N57

not attested not anchored not stored refs pending

Limits on All Known (and Some Unknown) Approaches to Matrix Multiplication

Josh Alman, Virginia Vassilevska Williams

arxiv:1810.08671 v1 · 2018-10-19 · 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{QM5KBMMXRDM4COYXDRTEOP3N57}

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	2026-05-18T00:02:43.852029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833aa0b19788d9c13b171c66473f6deff8aed1ecfc5d978ab4c4055cdf168883

Aliases

arxiv: 1810.08671 · arxiv_version: 1810.08671v1 · doi: 10.48550/arxiv.1810.08671 · pith_short_12: QM5KBMMXRDM4 · pith_short_16: QM5KBMMXRDM4COYX · pith_short_8: QM5KBMMX

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/QM5KBMMXRDM4COYXDRTEOP3N57 \
  | 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: 833aa0b19788d9c13b171c66473f6deff8aed1ecfc5d978ab4c4055cdf168883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80748f7007357f80ca1d25f73cfb21578b97931e0a0f21a741867a286205f05f",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-10-19T20:07:08Z",
    "title_canon_sha256": "db022d5371ce70d124db3c976117edf855a5fe388a7548e81d72e703b0d20b75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08671",
    "kind": "arxiv",
    "version": 1
  }
}