Pith Number

pith:J3KGAP7D

pith:2011:J3KGAP7DI3PRNO7JQMEXMGD2PN

not attested not anchored not stored refs pending

Burnside problem for measure preserving groups of toral homeomorphisms and for 2-groups of toral homeomorphisms

Isabelle Liousse, Nancy Guelman

arxiv:1108.3778 v2 · 2011-08-18 · 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{J3KGAP7DI3PRNO7JQMEXMGD2PN}

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	2026-05-18T02:54:53.883523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed4603fe346df16bbe9830976187a7b7cc13bd30fe5549eb8b47ecdeb44d6d9

Aliases

arxiv: 1108.3778 · arxiv_version: 1108.3778v2 · doi: 10.48550/arxiv.1108.3778 · pith_short_12: J3KGAP7DI3PR · pith_short_16: J3KGAP7DI3PRNO7J · pith_short_8: J3KGAP7D

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/J3KGAP7DI3PRNO7JQMEXMGD2PN \
  | 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: 4ed4603fe346df16bbe9830976187a7b7cc13bd30fe5549eb8b47ecdeb44d6d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2a045c299101f3fae6497e50d5c06714270788bc59c77bf62488c3f047c980",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-18T15:31:24Z",
    "title_canon_sha256": "9f98dd19234607edf5caed918373da5f943095d1e81a1bdda2ddc7b13da0e9f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3778",
    "kind": "arxiv",
    "version": 2
  }
}