Pith Number

pith:53M7BOIK

pith:2025:53M7BOIKW7GJZCW3UTMSJOJ4O2

not attested not anchored not stored refs pending

Crossed modules of ternary Leibniz algebras

Ibrahima Bakayoko, Kol B\'eatrice Gamou

arxiv:2501.18414 v1 · 2025-01-30 · 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{53M7BOIKW7GJZCW3UTMSJOJ4O2}

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	2026-07-05T10:07:33.939552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed9f0b90ab7cc9c8adba4d924b93c76993fc80501666e120c343658deaf4c00

Aliases

arxiv: 2501.18414 · arxiv_version: 2501.18414v1 · doi: 10.48550/arxiv.2501.18414 · pith_short_12: 53M7BOIKW7GJ · pith_short_16: 53M7BOIKW7GJZCW3 · pith_short_8: 53M7BOIK

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/53M7BOIKW7GJZCW3UTMSJOJ4O2 \
  | 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: eed9f0b90ab7cc9c8adba4d924b93c76993fc80501666e120c343658deaf4c00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ddf19a800a28172391fb0fbc7117fc34b39e95bc53e7378013063fd56494d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-01-30T15:13:34Z",
    "title_canon_sha256": "dd4a89594856b84011e6dc1899a6bba1058ed68f6646763d1fe3270684ffb97d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18414",
    "kind": "arxiv",
    "version": 1
  }
}