Pith Number

pith:5YJQSV3Y

pith:2007:5YJQSV3YEHQZU4HDR3LXSFUG3O

not attested not anchored not stored refs pending

The Szemeredi property in ergodic W*-dynamical systems

Anton Stroh, Conrad Beyers, Rocco Duvenhage

arxiv:0709.1557 v3 · 2007-09-11 · 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{5YJQSV3YEHQZU4HDR3LXSFUG3O}

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	2026-05-18T04:42:36.271461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1309577821e19a70e38ed7791686db894d3b7e7a36aa873f719f2360bf3c12

Aliases

arxiv: 0709.1557 · arxiv_version: 0709.1557v3 · doi: 10.48550/arxiv.0709.1557 · pith_short_12: 5YJQSV3YEHQZ · pith_short_16: 5YJQSV3YEHQZU4HD · pith_short_8: 5YJQSV3Y

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/5YJQSV3YEHQZU4HDR3LXSFUG3O \
  | 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: ee1309577821e19a70e38ed7791686db894d3b7e7a36aa873f719f2360bf3c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c4d67d1c4db75bb25a40501910adfc2daf9861d8081a43382b5d67e79cd6b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2007-09-11T14:26:55Z",
    "title_canon_sha256": "3edac2a6603aea0ef550a5d2ffa4c72f362d562d2cd6ecca180c8f1b5f7554e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1557",
    "kind": "arxiv",
    "version": 3
  }
}