Pith Number

pith:HZP2YFEJ

pith:2012:HZP2YFEJLXBSMZCYOZA6LM4QTV

not attested not anchored not stored refs pending

W*-superrigidity for group von Neumann algebras of left-right wreath products

Mihaita Berbec, Stefaan Vaes

arxiv:1210.0336 v1 · 2012-10-01 · math.OA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZP2YFEJLXBSMZCYOZA6LM4QTV}

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	2026-05-18T00:15:59.800486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5fac14895dc32664587641e5b3909d6bf9297cfcb0a356189cb0218f22ecc1

Aliases

arxiv: 1210.0336 · arxiv_version: 1210.0336v1 · doi: 10.48550/arxiv.1210.0336 · pith_short_12: HZP2YFEJLXBS · pith_short_16: HZP2YFEJLXBSMZCY · pith_short_8: HZP2YFEJ

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/HZP2YFEJLXBSMZCYOZA6LM4QTV \
  | 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: 3e5fac14895dc32664587641e5b3909d6bf9297cfcb0a356189cb0218f22ecc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "784821c6441ff83c5b08101afb28bfc4b27d8b26a87314eaa7220273a1f2c615",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-01T10:10:08Z",
    "title_canon_sha256": "ba9a127061c4dc09ee44148d881d79591fd0d591fca091fcc4727d43fcb36211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0336",
    "kind": "arxiv",
    "version": 1
  }
}