Pith Number

pith:AWMRCIVI

pith:2011:AWMRCIVI64UJ6FAPYDWT2YUSHU

not attested not anchored not stored refs pending

Weak Closure Theorem for Double Staircase Actions

V.V.Ryzhikov

arxiv:1108.0568 v1 · 2011-08-02 · 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{AWMRCIVI64UJ6FAPYDWT2YUSHU}

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	2026-05-18T04:16:30.187442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05991122a8f7289f140fc0ed3d62923d09406d92404eace55af7af2a7a2e15f7

Aliases

arxiv: 1108.0568 · arxiv_version: 1108.0568v1 · doi: 10.48550/arxiv.1108.0568 · pith_short_12: AWMRCIVI64UJ · pith_short_16: AWMRCIVI64UJ6FAP · pith_short_8: AWMRCIVI

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/AWMRCIVI64UJ6FAPYDWT2YUSHU \
  | 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: 05991122a8f7289f140fc0ed3d62923d09406d92404eace55af7af2a7a2e15f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03844e14da73bd5816df632bb8c16e09e25fe5046e9fd573226c255f090e96ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-02T13:22:41Z",
    "title_canon_sha256": "37fd576315ebf7c6e0df5863395749dcb6fa45a05009104020c45dfe4688f6d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0568",
    "kind": "arxiv",
    "version": 1
  }
}