Pith Number

pith:WEZJXMBD

pith:2016:WEZJXMBDZZ3GNKPB4ALHUAGXV2

not attested not anchored not stored refs pending

The geometry of rank decompositions of matrix multiplication I: 2x2 matrices

Christian Ikenmeyer, Giorgio Ottaviani, J.M. Landsberg, Luca Chiantini

arxiv:1610.08364 v1 · 2016-10-25 · cs.CC · 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{WEZJXMBDZZ3GNKPB4ALHUAGXV2}

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	2026-05-18T01:01:09.833888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1329bb023ce7666a9e1e0167a00d7aeaf781a4b4235869ce1ee3c84ccb5d273

Aliases

arxiv: 1610.08364 · arxiv_version: 1610.08364v1 · doi: 10.48550/arxiv.1610.08364 · pith_short_12: WEZJXMBDZZ3G · pith_short_16: WEZJXMBDZZ3GNKPB · pith_short_8: WEZJXMBD

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/WEZJXMBDZZ3GNKPB4ALHUAGXV2 \
  | 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: b1329bb023ce7666a9e1e0167a00d7aeaf781a4b4235869ce1ee3c84ccb5d273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c0ce432a7271c8a5a957c68f764716f58ba6e029e8de9488cec2563fe38ff1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-10-25T16:12:12Z",
    "title_canon_sha256": "6717c14aa522e9a0907a0305ba0f57eeb33488c04ee6ab10cfbbe541279049cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08364",
    "kind": "arxiv",
    "version": 1
  }
}