Pith Number

pith:GWVVCQN4

pith:2017:GWVVCQN4JUHY3RY7QOWXMXXLJG

not attested not anchored not stored refs pending

The border support rank of two-by-two matrix multiplication is seven

Jeroen Zuiddam, Markus Bl\"aser, Matthias Christandl

arxiv:1705.09652 v1 · 2017-05-26 · cs.CC · math.RT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWVVCQN4JUHY3RY7QOWXMXXLJG}

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	2026-05-18T00:05:00.604222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ab5141bc4d0f8dc71f83ad765eeb49b99fa8077e1a8b4be810401f159a59b6

Aliases

arxiv: 1705.09652 · arxiv_version: 1705.09652v1 · doi: 10.48550/arxiv.1705.09652 · pith_short_12: GWVVCQN4JUHY · pith_short_16: GWVVCQN4JUHY3RY7 · pith_short_8: GWVVCQN4

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/GWVVCQN4JUHY3RY7QOWXMXXLJG \
  | 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: 35ab5141bc4d0f8dc71f83ad765eeb49b99fa8077e1a8b4be810401f159a59b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b10640f7051dad69591b0b71731afffca616f67f03247249fcaaa145415fa7af",
    "cross_cats_sorted": [
      "math.RT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-05-26T17:22:03Z",
    "title_canon_sha256": "1c10410a8e04b0bb3ab89f6a6eb8c1f668a4a04e4138f82d6570bd43428ba268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09652",
    "kind": "arxiv",
    "version": 1
  }
}