Pith Number

pith:WXPJ4A5B

pith:2016:WXPJ4A5B5JHHQDWGKUFDEV24CF

not attested not anchored not stored refs pending

Derivations and Centroids of Four Dimensional Associative Algebras

A.O. Abdulkareem, I.S. Rakhimov, M.A. Fiidow

arxiv:1606.03119 v1 · 2016-06-09 · 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{WXPJ4A5B5JHHQDWGKUFDEV24CF}

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	2026-05-18T00:50:29.501741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5de9e03a1ea4e780ec6550a32575c1147f4a20e9ffd8d81c674457606342595

Aliases

arxiv: 1606.03119 · arxiv_version: 1606.03119v1 · doi: 10.48550/arxiv.1606.03119 · pith_short_12: WXPJ4A5B5JHH · pith_short_16: WXPJ4A5B5JHHQDWG · pith_short_8: WXPJ4A5B

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/WXPJ4A5B5JHHQDWGKUFDEV24CF \
  | 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: b5de9e03a1ea4e780ec6550a32575c1147f4a20e9ffd8d81c674457606342595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d0fdc61e73f7b0adf3b5e5f2e8ec73d63c519c2230213d222b8533bc221665",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-09T20:52:18Z",
    "title_canon_sha256": "5ec6ed5bf3a8e749b0e14d4088a524d3f442f767516152b8944d1e14fac0fbf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03119",
    "kind": "arxiv",
    "version": 1
  }
}