Pith Number

pith:ABUOUDBH

pith:2015:ABUOUDBHK6PUUWUSS54U4DAO5C

not attested not anchored not stored refs pending

Non-commutativity of the central sequence algebra for separable non-type I C$^{\ast}$-algebras

Eberhard Kirchberg, Hiroshi Ando

arxiv:1510.00468 v2 · 2015-10-02 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABUOUDBHK6PUUWUSS54U4DAO5C}

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	2026-05-18T00:44:25.159467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0068ea0c27579f4a5a9297794e0c0ee89594c05811523f6f7c0536727fcc2bd9

Aliases

arxiv: 1510.00468 · arxiv_version: 1510.00468v2 · doi: 10.48550/arxiv.1510.00468 · pith_short_12: ABUOUDBHK6PU · pith_short_16: ABUOUDBHK6PUUWUS · pith_short_8: ABUOUDBH

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/ABUOUDBHK6PUUWUSS54U4DAO5C \
  | 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: 0068ea0c27579f4a5a9297794e0c0ee89594c05811523f6f7c0536727fcc2bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43883189a17fc4937432f4156ed02e2b8a1c009dfff8c9178f71a1a68f2c089",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-10-02T02:04:49Z",
    "title_canon_sha256": "ccf4969006cc6be1def8ffccee28cea709a70c95274467f0067d38ab459386cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00468",
    "kind": "arxiv",
    "version": 2
  }
}