Pith Number

pith:CB3K3AK6

pith:2014:CB3K3AK6L53CUSUCLHZQTI3ME3

not attested not anchored not stored refs pending

Property (T) and the Furstenberg Entropy of Nonsingular Actions

Lewis Bowen, Omer Tamuz, Yair Hartman

arxiv:1406.4488 v2 · 2014-06-17 · math.GR · 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{CB3K3AK6L53CUSUCLHZQTI3ME3}

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	2026-05-18T01:19:14.414977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1076ad815e5f762a4a8259f309a36c26c126238efb832490d15ce9b89e84ddb9

Aliases

arxiv: 1406.4488 · arxiv_version: 1406.4488v2 · doi: 10.48550/arxiv.1406.4488 · pith_short_12: CB3K3AK6L53C · pith_short_16: CB3K3AK6L53CUSUC · pith_short_8: CB3K3AK6

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/CB3K3AK6L53CUSUCLHZQTI3ME3 \
  | 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: 1076ad815e5f762a4a8259f309a36c26c126238efb832490d15ce9b89e84ddb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b5ffd22c0fecc9aa1ee26f588c78c2b05e3f0a019a37282dce2a1090da362bf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-17T19:15:51Z",
    "title_canon_sha256": "517be0bb6b4cea27747beab6c2a39d5cc701776c4655cd4f06dc28f102cd2cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4488",
    "kind": "arxiv",
    "version": 2
  }
}