Pith Number

pith:Q7MZIOBH

pith:2011:Q7MZIOBHHPO4IUIX3ZPFQ5V4TO

not attested not anchored not stored refs pending

Examples of mixing subalgebras of von Neumann algebras and their normalizers

Paul Jolissaint

arxiv:1103.5356 v8 · 2011-03-28 · 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{Q7MZIOBHHPO4IUIX3ZPFQ5V4TO}

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	2026-05-18T04:06:43.557810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d99438273bddc45117de5e5876bc9ba5e448586ee92e057f49815377871e69

Aliases

arxiv: 1103.5356 · arxiv_version: 1103.5356v8 · doi: 10.48550/arxiv.1103.5356 · pith_short_12: Q7MZIOBHHPO4 · pith_short_16: Q7MZIOBHHPO4IUIX · pith_short_8: Q7MZIOBH

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/Q7MZIOBHHPO4IUIX3ZPFQ5V4TO \
  | 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: 87d99438273bddc45117de5e5876bc9ba5e448586ee92e057f49815377871e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939f6f4a17985786bfa845ce68ecf5792d7624e166974ad31115aef4444925ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-03-28T13:59:13Z",
    "title_canon_sha256": "8ddf51f71ab732d570bb945f0d58cf378c970c3075115697cc64e7538d6d781e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5356",
    "kind": "arxiv",
    "version": 8
  }
}