Pith Number

pith:WHQ3EAZR

pith:2011:WHQ3EAZRCIMDHX2AFNIF62EVJG

not attested not anchored not stored refs pending

Classification of the Absolute-Valued Algebras with Left-Unit Satisfying x2(x2)2 = (x2)2x2

Abdellatif Rochdi, Alassane Diouf, Maribel Ramirez

arxiv:1109.0239 v1 · 2011-09-01 · 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{WHQ3EAZRCIMDHX2AFNIF62EVJG}

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	2026-05-18T04:14:17.004391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e1b20331121833df402b505f689549a0569b0ea7c9629b1497ea6ada936a8c

Aliases

arxiv: 1109.0239 · arxiv_version: 1109.0239v1 · doi: 10.48550/arxiv.1109.0239 · pith_short_12: WHQ3EAZRCIMD · pith_short_16: WHQ3EAZRCIMDHX2A · pith_short_8: WHQ3EAZR

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/WHQ3EAZRCIMDHX2AFNIF62EVJG \
  | 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: b1e1b20331121833df402b505f689549a0569b0ea7c9629b1497ea6ada936a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "749c0a3e06bfec9e97dd129d1f232118d8123d31ee32b740697f6b14c81dbb15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-01T17:29:41Z",
    "title_canon_sha256": "c9dd498004454252366f58db845b1313e1ded73cf0f6cda8f06e882a950223e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0239",
    "kind": "arxiv",
    "version": 1
  }
}