Pith Number

pith:OY7GN2NS

pith:2013:OY7GN2NSYQSJZFWW3FOHJRR5IE

not attested not anchored not stored refs pending

Simplicity of UHF and Cuntz algebras on $L^p$~spaces

N. Christopher Phillips

arxiv:1309.0115 v2 · 2013-08-31 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OY7GN2NSYQSJZFWW3FOHJRR5IE}

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.

Cited by

1 paper in Pith

Takesaki duality for weak* closed $L^p$-operator crossed products

Receipt and verification

First computed	2026-05-18T03:13:21.101788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

763e66e9b2c4249c96d6d95c74c63d4133dd35cbd4a53b26b4f3638f5492add5

Aliases

arxiv: 1309.0115 · arxiv_version: 1309.0115v2 · doi: 10.48550/arxiv.1309.0115 · pith_short_12: OY7GN2NSYQSJ · pith_short_16: OY7GN2NSYQSJZFWW · pith_short_8: OY7GN2NS

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/OY7GN2NSYQSJZFWW3FOHJRR5IE \
  | 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: 763e66e9b2c4249c96d6d95c74c63d4133dd35cbd4a53b26b4f3638f5492add5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce36655ce6592231b807b3c8a5687b418df4349f9395942d55af84719543060b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-31T13:47:26Z",
    "title_canon_sha256": "31405939530a5879c3b9e9c33aa440d708b56247dbcfb09a32c12b18dee24d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0115",
    "kind": "arxiv",
    "version": 2
  }
}