Pith Number

pith:6ELMXBK7

pith:2023:6ELMXBK7HCV65HF7TPES2D3QUV

not attested not anchored not stored refs pending

On generalized corners and matrix multiplication

Kevin Pratt

arxiv:2309.03878 v1 · 2023-09-07 · math.CO · cs.DM · 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{6ELMXBK7HCV65HF7TPES2D3QUV}

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	2026-07-05T06:49:26.689506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f116cb855f38abee9cbf9bc92d0f70a55dbdc671b1e7b943e8956d33b4a6e4ac

Aliases

arxiv: 2309.03878 · arxiv_version: 2309.03878v1 · doi: 10.48550/arxiv.2309.03878 · pith_short_12: 6ELMXBK7HCV6 · pith_short_16: 6ELMXBK7HCV65HF7 · pith_short_8: 6ELMXBK7

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/6ELMXBK7HCV65HF7TPES2D3QUV \
  | 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: f116cb855f38abee9cbf9bc92d0f70a55dbdc671b1e7b943e8956d33b4a6e4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bdb5f1c821feec8b77a84ea1ff6e8e3d448cd5eda9fd62b525d5103f1c3335e",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-07T17:41:56Z",
    "title_canon_sha256": "fd74c53e80cc91c41c1ec663d7be2e1c52f3336c5a0e8b9a3c0dd69bab5cb175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.03878",
    "kind": "arxiv",
    "version": 1
  }
}