Pith Number

pith:2OXTJDGH

pith:2014:2OXTJDGHVJYHMBZPN6IWWHSIJZ

not attested not anchored not stored refs pending

Division in Associative $D$-Algebra

Aleks Kleyn

arxiv:1412.5425 v1 · 2014-12-13 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OXTJDGHVJYHMBZPN6IWWHSIJZ}

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	2026-05-18T02:25:04.500369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3af348cc7aa7076072f6f916b1e484e712363bb609dc8cfb2a0a4cdb1860766

Aliases

arxiv: 1412.5425 · arxiv_version: 1412.5425v1 · doi: 10.48550/arxiv.1412.5425 · pith_short_12: 2OXTJDGHVJYH · pith_short_16: 2OXTJDGHVJYHMBZP · pith_short_8: 2OXTJDGH

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/2OXTJDGHVJYHMBZPN6IWWHSIJZ \
  | 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: d3af348cc7aa7076072f6f916b1e484e712363bb609dc8cfb2a0a4cdb1860766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c206e585c29e94d43df79ecd48873cf14c5411924a080f8664c41c53e0db91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2014-12-13T03:26:35Z",
    "title_canon_sha256": "8e7b24a376b723fd95c8918c35f12f6aafa7d7083aa56e1f541b882e234b2bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5425",
    "kind": "arxiv",
    "version": 1
  }
}