Pith Number

pith:5DBSQMYQ

pith:2012:5DBSQMYQG35BOMY7MVZ7XV6YIV

not attested not anchored not stored refs pending

Menger algebras of $n$-place opening operations

Valentin S. Trokhimenko, Wieslaw A. Dudek

arxiv:1205.0448 v2 · 2012-04-29 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DBSQMYQG35BOMY7MVZ7XV6YIV}

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	2026-05-18T02:28:48.475295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c328331036fa17331f6573fbd7d8456e4c6cb19bea02c2bbf0c8a065e2ce74

Aliases

arxiv: 1205.0448 · arxiv_version: 1205.0448v2 · doi: 10.48550/arxiv.1205.0448 · pith_short_12: 5DBSQMYQG35B · pith_short_16: 5DBSQMYQG35BOMY7 · pith_short_8: 5DBSQMYQ

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/5DBSQMYQG35BOMY7MVZ7XV6YIV \
  | 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: e8c328331036fa17331f6573fbd7d8456e4c6cb19bea02c2bbf0c8a065e2ce74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb6a1848fdb7d882a7c7f2a8fa521419f58f4322aa3eda90df72b33ab9c85ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-04-29T21:15:48Z",
    "title_canon_sha256": "6cd2211e6fd68ba708c75382d135399dcb878e3e93c7ec2bcf10a11945706384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0448",
    "kind": "arxiv",
    "version": 2
  }
}