Pith Number

pith:XJBQIVT5

pith:2010:XJBQIVT5KCCBL2Q3JM24RSHJVF

not attested not anchored not stored refs pending

A classification of all finite index subfactors for a class of group-measure space II_1 factors

Stefaan Vaes, Steven Deprez

arxiv:1002.2129 v2 · 2010-02-10 · 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{XJBQIVT5KCCBL2Q3JM24RSHJVF}

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	2026-05-18T04:07:40.817205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4304567d508415ea1b4b35c8c8e9a960930c6e869c58c42e846bcee3175687

Aliases

arxiv: 1002.2129 · arxiv_version: 1002.2129v2 · doi: 10.48550/arxiv.1002.2129 · pith_short_12: XJBQIVT5KCCB · pith_short_16: XJBQIVT5KCCBL2Q3 · pith_short_8: XJBQIVT5

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/XJBQIVT5KCCBL2Q3JM24RSHJVF \
  | 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: ba4304567d508415ea1b4b35c8c8e9a960930c6e869c58c42e846bcee3175687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0728d2dfe9960b10962d4ce9a3a296504fb0163d182e7a8cd7db1df41eb14f27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-02-10T16:29:17Z",
    "title_canon_sha256": "21b32018014f08a8725071856c014b7bd333df24505c657131d447028ba2619d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2129",
    "kind": "arxiv",
    "version": 2
  }
}