Pith Number

pith:W7W3GT36

pith:2011:W7W3GT36PQW56OQESOX564UUOH

not attested not anchored not stored refs pending

Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions

Niels Meesschaert, Stefaan Vaes, Sven Raum

arxiv:1107.1357 v2 · 2011-07-07 · math.OA · math.DS · 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{W7W3GT36PQW56OQESOX564UUOH}

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	2026-05-18T03:11:36.152141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7edb34f7e7c2ddf3a0493afdf729471deeb4dc5356bdb83550c63e56ccedc58

Aliases

arxiv: 1107.1357 · arxiv_version: 1107.1357v2 · doi: 10.48550/arxiv.1107.1357 · pith_short_12: W7W3GT36PQW5 · pith_short_16: W7W3GT36PQW56OQE · pith_short_8: W7W3GT36

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/W7W3GT36PQW56OQESOX564UUOH \
  | 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: b7edb34f7e7c2ddf3a0493afdf729471deeb4dc5356bdb83550c63e56ccedc58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18c0891da4727aa8058f00a62f8bee4303355bae817ebd2ab532a7aa2716817f",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-07T11:53:41Z",
    "title_canon_sha256": "ca21359b91bcc481d3a8c43f7edcef0885c2ff138a3551a383ce5821718b9505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1357",
    "kind": "arxiv",
    "version": 2
  }
}