Pith Number

pith:XZ4WEUYO

pith:2017:XZ4WEUYORJRFU3TYCCGGEVPFSQ

not attested not anchored not stored refs pending

Invariant ergodic measures and the classification of crossed product $C^\ast$-algebras

Xin Ma

arxiv:1711.00886 v3 · 2017-11-02 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ4WEUYORJRFU3TYCCGGEVPFSQ}

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	2026-05-18T00:12:11.051450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7962530e8a625a6e78108c6255e5941c65e102ea12bccdde821ee2b36f130e

Aliases

arxiv: 1711.00886 · arxiv_version: 1711.00886v3 · doi: 10.48550/arxiv.1711.00886 · pith_short_12: XZ4WEUYORJRF · pith_short_16: XZ4WEUYORJRFU3TY · pith_short_8: XZ4WEUYO

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/XZ4WEUYORJRFU3TYCCGGEVPFSQ \
  | 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: be7962530e8a625a6e78108c6255e5941c65e102ea12bccdde821ee2b36f130e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba37c53e08a20f69179d5765abaa3148ae8a78ef4ff7f6d9cc0393c99a6aeca0",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-02T18:52:08Z",
    "title_canon_sha256": "6ec5d28e1157cb6262e20366f6163ef5b516b40aec056384208a45941eb7cc33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00886",
    "kind": "arxiv",
    "version": 3
  }
}