Pith Number

pith:HDNZKSZ2

pith:2021:HDNZKSZ2NN2S2DFDU476EDFLUM

not attested not anchored not stored refs pending

Noncommutative ergodic theory of higher rank lattices

Cyril Houdayer

arxiv:2110.07708 v1 · 2021-10-14 · math.OA · math.DS · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDNZKSZ2NN2S2DFDU476EDFLUM}

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

Uniformly recurrent subalgebras in finite von Neumann algebras

Receipt and verification

First computed	2026-07-05T11:37:58.355996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38db954b3a6b752d0ca3a73fe20caba33de9239b38b980ce54d9aae1780152ff

Aliases

arxiv: 2110.07708 · arxiv_version: 2110.07708v1 · doi: 10.48550/arxiv.2110.07708 · pith_short_12: HDNZKSZ2NN2S · pith_short_16: HDNZKSZ2NN2S2DFD · pith_short_8: HDNZKSZ2

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/HDNZKSZ2NN2S2DFDU476EDFLUM \
  | 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: 38db954b3a6b752d0ca3a73fe20caba33de9239b38b980ce54d9aae1780152ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb4863f142943c66a88be8589c594547926be56bbeb0c3088ef4e47dcf66f93e",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-10-14T20:57:17Z",
    "title_canon_sha256": "6022af06db6d7424a9e56280ef2d18d31e733148cfa23b643ada0a369e8d6f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07708",
    "kind": "arxiv",
    "version": 1
  }
}