pith. sign in
Pith Number

pith:MFQCQXDL

pith:2011:MFQCQXDLNC7J7A2KRG52VBB5RU
not attested not anchored not stored refs pending

C*-algebras nearly contained in type I algebras

Allan M Sinclair, Erik Christensen, Roger R Smith, Stuart White

arxiv:1107.1983 v1 · 2011-07-11 · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MFQCQXDLNC7J7A2KRG52VBB5RU}

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 2026-05-18T01:34:51.350560Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6160285c6b68be9f834a89bbaa843d8d261f211b026925da299c23e6d1930d70

Aliases

arxiv: 1107.1983 · arxiv_version: 1107.1983v1 · doi: 10.48550/arxiv.1107.1983 · pith_short_12: MFQCQXDLNC7J · pith_short_16: MFQCQXDLNC7J7A2K · pith_short_8: MFQCQXDL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MFQCQXDLNC7J7A2KRG52VBB5RU \
  | 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: 6160285c6b68be9f834a89bbaa843d8d261f211b026925da299c23e6d1930d70
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0ba9a4de8b94eff85c3d74365f34d213f1c10afc483fe8d332ae19d743fdac1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-11T10:04:03Z",
    "title_canon_sha256": "b822ec5e05d4ff5bde5883a75acb232eb671a4e7018d6748241a6194a45246c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1983",
    "kind": "arxiv",
    "version": 1
  }
}