Pith Number

pith:7BMMHQRL

pith:2013:7BMMHQRLM6KTFOG3KKZ26A3ITA

not attested not anchored not stored refs pending

Isomorphism, nonisomorphism, and amenability of L^p UHF algebras

N. Christopher Phillips

arxiv:1309.3694 v2 · 2013-09-14 · 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{7BMMHQRLM6KTFOG3KKZ26A3ITA}

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	2026-05-18T03:12:21.723783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f858c3c22b679532b8db52b3af0368982e1e21b223ea2bceb19f46a73c2ada39

Aliases

arxiv: 1309.3694 · arxiv_version: 1309.3694v2 · doi: 10.48550/arxiv.1309.3694 · pith_short_12: 7BMMHQRLM6KT · pith_short_16: 7BMMHQRLM6KTFOG3 · pith_short_8: 7BMMHQRL

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/7BMMHQRLM6KTFOG3KKZ26A3ITA \
  | 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: f858c3c22b679532b8db52b3af0368982e1e21b223ea2bceb19f46a73c2ada39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6262ed91e32b54633e3134ada8e353ff79e1c2388941b6121f641d73358a2ee6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-14T19:23:41Z",
    "title_canon_sha256": "a6c9b07d481d7df70c2bc9f488befbcf7e65019cae01a44f23e312c9e58305dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3694",
    "kind": "arxiv",
    "version": 2
  }
}