Pith Number

pith:HNKW7MWZ

pith:2018:HNKW7MWZPND65ZHN4XMVU35VH2

not attested not anchored not stored refs pending

Bernoulli actions of amenable groups with weakly mixing Maharam extensions

Michael Bj\"orklund, Zemer Kosloff

arxiv:1808.05991 v3 · 2018-08-17 · math.DS · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNKW7MWZPND65ZHN4XMVU35VH2}

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

2 papers in Pith

Asymmetry of $\ell^{2}$-cohomology via skewed F{\o}lner geometry

Receipt and verification

First computed	2026-05-17T23:58:30.574182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b556fb2d97b47eee4ede5d95a6fb53e8689a0d5114a3dca15473ee3369a02a0

Aliases

arxiv: 1808.05991 · arxiv_version: 1808.05991v3 · doi: 10.48550/arxiv.1808.05991 · pith_short_12: HNKW7MWZPND6 · pith_short_16: HNKW7MWZPND65ZHN · pith_short_8: HNKW7MWZ

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/HNKW7MWZPND65ZHN4XMVU35VH2 \
  | 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: 3b556fb2d97b47eee4ede5d95a6fb53e8689a0d5114a3dca15473ee3369a02a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164810fd3f849bbaa8e97f03c569ac55b14834c25013e737bc15120be5c5f680",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-17T20:48:21Z",
    "title_canon_sha256": "fc8ba9e72b4d9193de5a7685553a72e67c42bcebf3e104c9aa67600bbf7cf886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05991",
    "kind": "arxiv",
    "version": 3
  }
}