Pith Number

pith:QFVR3XHN

pith:2011:QFVR3XHNQODM6WV3OGLUSWWOH7

not attested not anchored not stored refs pending

Discrete amenable group actions on von Neumann algebras and invariant nuclear C*-subalgebras

Yasuhiko Sato

arxiv:1104.4339 v1 · 2011-04-21 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFVR3XHNQODM6WV3OGLUSWWOH7}

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	2026-05-18T04:23:35.383761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816b1ddced8386cf5abb7197495ace3fd6ab8c5dbbd803006c2959b89a365e91

Aliases

arxiv: 1104.4339 · arxiv_version: 1104.4339v1 · doi: 10.48550/arxiv.1104.4339 · pith_short_12: QFVR3XHNQODM · pith_short_16: QFVR3XHNQODM6WV3 · pith_short_8: QFVR3XHN

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/QFVR3XHNQODM6WV3OGLUSWWOH7 \
  | 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: 816b1ddced8386cf5abb7197495ace3fd6ab8c5dbbd803006c2959b89a365e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c601fc8e2bcd2ffc3a16b8f303609a5447a07028a3c4560d3540f801765800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-04-21T19:31:43Z",
    "title_canon_sha256": "425b18c5f52fa61000eefd6c679840d002c2d5c53409bec23caa5887ea985d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4339",
    "kind": "arxiv",
    "version": 1
  }
}