Pith Number

pith:FC5ZQTG2

pith:2011:FC5ZQTG25ITHAJEN3UDRRZCRZ5

not attested not anchored not stored refs pending

Decomposition of operator semigroups on W*-algebras

Andr\'as B\'atkai, D\'avid Kunszenti-Kov\'acs, Marco Schreiber, Ulrich Groh

arxiv:1106.0287 v2 · 2011-06-01 · math.OA · math.DS · 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{FC5ZQTG25ITHAJEN3UDRRZCRZ5}

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	2026-05-18T04:03:56.948349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28bb984cdaea2670248ddd0718e451cf4527d9df1a23978f19802ec73cefd4e5

Aliases

arxiv: 1106.0287 · arxiv_version: 1106.0287v2 · doi: 10.48550/arxiv.1106.0287 · pith_short_12: FC5ZQTG25ITH · pith_short_16: FC5ZQTG25ITHAJEN · pith_short_8: FC5ZQTG2

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/FC5ZQTG25ITHAJEN3UDRRZCRZ5 \
  | 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: 28bb984cdaea2670248ddd0718e451cf4527d9df1a23978f19802ec73cefd4e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6f4afd7cfe1728d97b7569da928f18e044b0b196264afebcdbcab86a9832df",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-06-01T19:25:49Z",
    "title_canon_sha256": "0c865d22233c1e7b9a38dc235f1618f169c0a665b90ccbd7ac96502137d6c8e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0287",
    "kind": "arxiv",
    "version": 2
  }
}