Pith Number

pith:P4OXTEMM

pith:2012:P4OXTEMMKPGGKOVHTS33G5SJ45

not attested not anchored not stored refs pending

Minimal Self-Joinings, Bounded Constructions, and Weak Closure of Ergodic Actions

V. V. Ryzhikov

arxiv:1212.2602 v2 · 2012-12-11 · 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{P4OXTEMMKPGGKOVHTS33G5SJ45}

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

1 paper in Pith

Weak limit semigroup in operator theory and ergodic theory

Receipt and verification

First computed	2026-05-18T03:38:35.862017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1d79918c53cc653aa79cb7b37649e742e31c8bcc4a598d6c882d2aca08858c

Aliases

arxiv: 1212.2602 · arxiv_version: 1212.2602v2 · doi: 10.48550/arxiv.1212.2602 · pith_short_12: P4OXTEMMKPGG · pith_short_16: P4OXTEMMKPGGKOVH · pith_short_8: P4OXTEMM

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/P4OXTEMMKPGGKOVHTS33G5SJ45 \
  | 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: 7f1d79918c53cc653aa79cb7b37649e742e31c8bcc4a598d6c882d2aca08858c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e42b50e2de93c785187c0e6d04bb1fdc1d2de64896138856b69fdfccc54bd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-11T20:09:54Z",
    "title_canon_sha256": "0457b54e140053c8f1c780af6907a0fed41b418d41d9707835f1424c43177ad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2602",
    "kind": "arxiv",
    "version": 2
  }
}