Pith Number

pith:4WSW2XAZ

pith:2011:4WSW2XAZIAGXT7YEHQRVWP4YNA

not attested not anchored not stored refs pending

On Disjointness of Mixing Rank One Actions

V.V. Ryzhikov

arxiv:1109.0671 v1 · 2011-09-04 · 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{4WSW2XAZIAGXT7YEHQRVWP4YNA}

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	2026-05-18T04:14:07.084935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a56d5c19400d79ff043c235b3f98683f79d713178b5a61ad8072c062aa8f36

Aliases

arxiv: 1109.0671 · arxiv_version: 1109.0671v1 · doi: 10.48550/arxiv.1109.0671 · pith_short_12: 4WSW2XAZIAGX · pith_short_16: 4WSW2XAZIAGXT7YE · pith_short_8: 4WSW2XAZ

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/4WSW2XAZIAGXT7YEHQRVWP4YNA \
  | 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: e5a56d5c19400d79ff043c235b3f98683f79d713178b5a61ad8072c062aa8f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0985919ffadd7a7a58699cded98a01ae9eacbfebb7db527877ff1a102ef55158",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-04T04:49:45Z",
    "title_canon_sha256": "63b7a91cdffe07e0c06b6a6edef9c32153de69dbd1ae400bf8dd35a6acecabea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0671",
    "kind": "arxiv",
    "version": 1
  }
}