Pith Number

pith:QGI6ECZ4

pith:2011:QGI6ECZ4LTWZEXP2XFXK5ARMKV

not attested not anchored not stored refs pending

Ergodic Decomposition for Measures Quasi-Invariant Under Borel Actions of Inductively Compact Groups

Alexander I. Bufetov

arxiv:1105.0664 v2 · 2011-05-03 · math.DS · math.FA · 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{QGI6ECZ4LTWZEXP2XFXK5ARMKV}

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	2026-05-18T02:46:33.099135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8191e20b3c5ced925dfab96eae822c557e8189eefc5bb392248f10ae01c1f566

Aliases

arxiv: 1105.0664 · arxiv_version: 1105.0664v2 · doi: 10.48550/arxiv.1105.0664 · pith_short_12: QGI6ECZ4LTWZ · pith_short_16: QGI6ECZ4LTWZEXP2 · pith_short_8: QGI6ECZ4

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/QGI6ECZ4LTWZEXP2XFXK5ARMKV \
  | 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: 8191e20b3c5ced925dfab96eae822c557e8189eefc5bb392248f10ae01c1f566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0403ed6b0f0a6e56c71d380c99a1ac8c00933746f385411be4e5602b447654cd",
    "cross_cats_sorted": [
      "math.FA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-03T19:35:37Z",
    "title_canon_sha256": "8a4f99537a56ceee3476ed2817b93479a9fa62bfefff8a9bc929121b0ae50558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0664",
    "kind": "arxiv",
    "version": 2
  }
}