Pith Number

pith:YP6TYI7Q

pith:2013:YP6TYI7QK2FZFZFDOSHDZ2BBNR

not attested not anchored not stored refs pending

A nonseparable amenable operator algebra which is not isomorphic to a C*-algebra

Ilijas Farah, Narutaka Ozawa, Yemon Choi

arxiv:1309.2145 v5 · 2013-09-09 · math.OA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YP6TYI7QK2FZFZFDOSHDZ2BBNR}

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	2026-05-18T02:56:21.107026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3fd3c23f0568b92e4a3748e3ce8216c75bc0ef00ed38ea834da1f77b515d544

Aliases

arxiv: 1309.2145 · arxiv_version: 1309.2145v5 · doi: 10.48550/arxiv.1309.2145 · pith_short_12: YP6TYI7QK2FZ · pith_short_16: YP6TYI7QK2FZFZFD · pith_short_8: YP6TYI7Q

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/YP6TYI7QK2FZFZFDOSHDZ2BBNR \
  | 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: c3fd3c23f0568b92e4a3748e3ce8216c75bc0ef00ed38ea834da1f77b515d544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3e943cc9f918f81e9abafca42a290d89830c9bf44ee3923270128462b5fa598",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-09-09T13:03:39Z",
    "title_canon_sha256": "de33a46a8298ced473b5b15f6949c59f2efb029c54a4ae0cd3535e4d4be81d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2145",
    "kind": "arxiv",
    "version": 5
  }
}