Pith Number

pith:GIBXB3JX

pith:2011:GIBXB3JXDEUSMUREL2KBRETTZ6

not attested not anchored not stored refs pending

Jordan product determined points in matrix algebras

Yang Wenlei, Zhu Jun

arxiv:1111.4108 v1 · 2011-11-17 · math.OA · 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{GIBXB3JXDEUSMUREL2KBRETTZ6}

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	2026-05-18T04:08:05.670024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320370ed3719292652245e94189273cf9bb791db90ed80c760e0d8cdd658a8c7

Aliases

arxiv: 1111.4108 · arxiv_version: 1111.4108v1 · doi: 10.48550/arxiv.1111.4108 · pith_short_12: GIBXB3JXDEUS · pith_short_16: GIBXB3JXDEUSMURE · pith_short_8: GIBXB3JX

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/GIBXB3JXDEUSMUREL2KBRETTZ6 \
  | 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: 320370ed3719292652245e94189273cf9bb791db90ed80c760e0d8cdd658a8c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6daa9084506d5de558ca8ec430e5a554fe473c1c5aaf1439fdc19a098f5e18a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-17T14:23:22Z",
    "title_canon_sha256": "0873698ea043940741c504e6cba7b9e5d02bbda3c700a3acf43f3c5a7407e3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4108",
    "kind": "arxiv",
    "version": 1
  }
}