Pith Number

pith:XGX3AVGA

pith:2008:XGX3AVGAV6ZMBLTFMS43MLXTIC

not attested not anchored not stored refs pending

Actions of F_\infty whose II_1 factors and orbit equivalence relations have prescribed fundamental group

Sorin Popa, Stefaan Vaes

arxiv:0803.3351 v3 · 2008-03-23 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGX3AVGAV6ZMBLTFMS43MLXTIC}

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	2026-05-18T02:15:59.931833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9afb054c0afb2c0ae6564b9b62ef3409d5e5904baadcdcdde8efc6211f8bb73

Aliases

arxiv: 0803.3351 · arxiv_version: 0803.3351v3 · doi: 10.48550/arxiv.0803.3351 · pith_short_12: XGX3AVGAV6ZM · pith_short_16: XGX3AVGAV6ZMBLTF · pith_short_8: XGX3AVGA

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/XGX3AVGAV6ZMBLTFMS43MLXTIC \
  | 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: b9afb054c0afb2c0ae6564b9b62ef3409d5e5904baadcdcdde8efc6211f8bb73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "599b65dbfe3ba1ec17a3aaf102494479870eebf79a84df65acccb7886b1005bb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-03-23T23:13:07Z",
    "title_canon_sha256": "9e4b314895cba00253c239dc05ee005f7c7a81399044c60de85f4b40dc8a3e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3351",
    "kind": "arxiv",
    "version": 3
  }
}