Pith Number

pith:FZRMTZE4

pith:2016:FZRMTZE4EK6HZ7R4LX6RRJXADD

not attested not anchored not stored refs pending

On the geometry of border rank algorithms for matrix multiplication and other tensors with symmetry

J.M. Landsberg, Mateusz Micha{\l}ek

arxiv:1601.08229 v1 · 2016-01-29 · math.AG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZRMTZE4EK6HZ7R4LX6RRJXADD}

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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	2026-05-18T01:21:40.038249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e62c9e49c22bc7cfe3c5dfd18a6e018c8e59b335ffd75da7a6696b63023617a

Aliases

arxiv: 1601.08229 · arxiv_version: 1601.08229v1 · doi: 10.48550/arxiv.1601.08229 · pith_short_12: FZRMTZE4EK6H · pith_short_16: FZRMTZE4EK6HZ7R4 · pith_short_8: FZRMTZE4

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/FZRMTZE4EK6HZ7R4LX6RRJXADD \
  | 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: 2e62c9e49c22bc7cfe3c5dfd18a6e018c8e59b335ffd75da7a6696b63023617a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b65141ffd502db87a4e733dbff2abb70fa15c4207eeca2b0d3d892294ac8fa",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-29T19:49:33Z",
    "title_canon_sha256": "7868c577c04d651427850142ee72185930faae3660cc5682f4988470101e9875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08229",
    "kind": "arxiv",
    "version": 1
  }
}