Pith Number

pith:HTXTK3CI

pith:2015:HTXTK3CIJUOR3FBLZ4BEJSJMMP

not attested not anchored not stored refs pending

On the geometry of border rank algorithms for n x 2 by 2 x 2 matrix multiplication

J.M. Landsberg, Nicholas Ryder

arxiv:1509.08323 v1 · 2015-09-28 · cs.NA · 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{HTXTK3CIJUOR3FBLZ4BEJSJMMP}

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	2026-05-18T01:31:54.170925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cef356c484d1d1d942bcf0244c92c63cf1ecd3c7b70875535a750e13434bdb8

Aliases

arxiv: 1509.08323 · arxiv_version: 1509.08323v1 · doi: 10.48550/arxiv.1509.08323 · pith_short_12: HTXTK3CIJUOR · pith_short_16: HTXTK3CIJUOR3FBL · pith_short_8: HTXTK3CI

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/HTXTK3CIJUOR3FBLZ4BEJSJMMP \
  | 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: 3cef356c484d1d1d942bcf0244c92c63cf1ecd3c7b70875535a750e13434bdb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "807d6bdc77419d626814ddfca0fdb74a637fe7236c5bb02f2704ef4032848c34",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-09-28T14:03:33Z",
    "title_canon_sha256": "6667a543aed3f86f8da0ed116f3368865fc8d19b9474e9fec630362d94af778e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08323",
    "kind": "arxiv",
    "version": 1
  }
}