Pith Number

pith:6NINLHKS

pith:2008:6NINLHKS7FRPLJMMA7ZNAY3VLE

not attested not anchored not stored refs pending

On the commutant of $C(X)$ in $C^*$-crossed products by $\mathbb{Z}$ and their representations

Christian Svensson, Jun Tomiyama

arxiv:0807.2940 v3 · 2008-07-18 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NINLHKS7FRPLJMMA7ZNAY3VLE}

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	2026-05-18T04:08:04.279137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f350d59d52f962f5a58c07f2d063755905f7f52b7204b75f58266e6307020c16

Aliases

arxiv: 0807.2940 · arxiv_version: 0807.2940v3 · doi: 10.48550/arxiv.0807.2940 · pith_short_12: 6NINLHKS7FRP · pith_short_16: 6NINLHKS7FRPLJMM · pith_short_8: 6NINLHKS

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/6NINLHKS7FRPLJMMA7ZNAY3VLE \
  | 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: f350d59d52f962f5a58c07f2d063755905f7f52b7204b75f58266e6307020c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f47208bae30c065ca83ed261a62aa2b79d85a98398858f8ae6178e39ba7460c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-07-18T10:18:39Z",
    "title_canon_sha256": "d8172221633e089803e12a9552e0b28d3875fe49b918c1d81b0a51f96dc3a003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2940",
    "kind": "arxiv",
    "version": 3
  }
}