Pith Number

pith:RYTLKUHE

pith:2013:RYTLKUHEZUVXHJ3YOF7RXJSMGA

not attested not anchored not stored refs pending

Structure of the rational monoid algebra for Boolean matrices of order 3

Murray R. Bremner

arxiv:1307.2161 v1 · 2013-07-08 · math.RA · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYTLKUHEZUVXHJ3YOF7RXJSMGA}

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	2026-05-18T03:19:02.252469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e26b550e4cd2b73a778717f1ba64c3039a12f560012475f1aacb392e9b1aede

Aliases

arxiv: 1307.2161 · arxiv_version: 1307.2161v1 · doi: 10.48550/arxiv.1307.2161 · pith_short_12: RYTLKUHEZUVX · pith_short_16: RYTLKUHEZUVXHJ3Y · pith_short_8: RYTLKUHE

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/RYTLKUHEZUVXHJ3YOF7RXJSMGA \
  | 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: 8e26b550e4cd2b73a778717f1ba64c3039a12f560012475f1aacb392e9b1aede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a51061799982366a9c19ced50def33e553bdb515dc872d15db64c98b2f6f14",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-08T16:54:15Z",
    "title_canon_sha256": "1b4f69e04c053286330ad8e93af0e90e8541d96d11b91d500c3fa90d6966f6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2161",
    "kind": "arxiv",
    "version": 1
  }
}