Pith Number

pith:JIJVGPXS

pith:2013:JIJVGPXSW6JHE33OP6BFHOMDHA

not attested not anchored not stored refs pending

Chacon's Type Ergodic Transformations with Unbounded Arithmetic Spacers

V.V. Ryzhikov

arxiv:1311.4524 v3 · 2013-11-18 · 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{JIJVGPXSW6JHE33OP6BFHOMDHA}

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

Size of exceptional sets in weakly mixing systems

Receipt and verification

First computed	2026-05-18T03:05:47.280430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a13533ef2b792726f6e7f8253b983383e32940164ceec46ca58730c94421034

Aliases

arxiv: 1311.4524 · arxiv_version: 1311.4524v3 · doi: 10.48550/arxiv.1311.4524 · pith_short_12: JIJVGPXSW6JH · pith_short_16: JIJVGPXSW6JHE33O · pith_short_8: JIJVGPXS

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/JIJVGPXSW6JHE33OP6BFHOMDHA \
  | 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: 4a13533ef2b792726f6e7f8253b983383e32940164ceec46ca58730c94421034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7a5cfb28f7014f0342e7303f19363d3d8be4872347d434d00f542a02f43c1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-18T20:28:32Z",
    "title_canon_sha256": "cd7ad7d5dac50e8ffd070f7ffb3e32a71decc067740179500da7df1c4981f39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4524",
    "kind": "arxiv",
    "version": 3
  }
}