Pith Number

pith:MM5BO3R5

pith:2025:MM5BO3R5JPNJ4TK2OGOH6ZYRTA

not attested not anchored not stored refs pending

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras

Ahmed Zahari Abdou

arxiv:2504.21180 v1 · 2025-04-29 · 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{MM5BO3R5JPNJ4TK2OGOH6ZYRTA}

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	2026-07-05T10:55:58.493953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633a176e3d4bda9e4d5a719c7f67119837ce0a6a74c38bf7946d75e18669b1ed

Aliases

arxiv: 2504.21180 · arxiv_version: 2504.21180v1 · doi: 10.48550/arxiv.2504.21180 · pith_short_12: MM5BO3R5JPNJ · pith_short_16: MM5BO3R5JPNJ4TK2 · pith_short_8: MM5BO3R5

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/MM5BO3R5JPNJ4TK2OGOH6ZYRTA \
  | 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: 633a176e3d4bda9e4d5a719c7f67119837ce0a6a74c38bf7946d75e18669b1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d721a336fbc49e2348a40ce2083fa9ccac57bffc5aed1fb9d633bbb38dc7a4a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-04-29T21:14:19Z",
    "title_canon_sha256": "3bc6f82d9d719c045eeefa03b08bede95634eed2c528c099444bf8620f0d3393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21180",
    "kind": "arxiv",
    "version": 1
  }
}