Pith Number

pith:ZAW6W6W4

pith:2017:ZAW6W6W4X3U5WVA2F4ZCMER5DQ

not attested not anchored not stored refs pending

Singular MASAs in type III factors and Connes' Bicentralizer Property

Cyril Houdayer, Sorin Popa

arxiv:1704.07255 v3 · 2017-04-24 · 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{ZAW6W6W4X3U5WVA2F4ZCMER5DQ}

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.

Cited by

1 paper in Pith

Kadison's problem and ergodicity of the bicentralizer flow and

Receipt and verification

First computed	2026-07-05T02:10:35.881863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82deb7adcbee9db541a2f3226123d1c29e225eca9a48a95d77c64283ae1e3e6

Aliases

arxiv: 1704.07255 · arxiv_version: 1704.07255v3 · doi: 10.48550/arxiv.1704.07255 · pith_short_12: ZAW6W6W4X3U5 · pith_short_16: ZAW6W6W4X3U5WVA2 · pith_short_8: ZAW6W6W4

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/ZAW6W6W4X3U5WVA2F4ZCMER5DQ \
  | 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: c82deb7adcbee9db541a2f3226123d1c29e225eca9a48a95d77c64283ae1e3e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b81fc08c7965025fedb25f5a1cd05240b64de6404b573c85df3c825c7979b32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-04-24T14:34:23Z",
    "title_canon_sha256": "a0b217c40a5cc770efac2f4c0f7f5d9b41e6342b060793d4c11ce7cba2ded767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07255",
    "kind": "arxiv",
    "version": 3
  }
}