Pith Number

pith:SQU5LJPW

pith:2018:SQU5LJPWIBXL2IFSGE3MCEEIJF

not attested not anchored not stored refs pending

Convergence to $\alpha$-stable L\'evy motion for chaotic billiards with several cusps at flat points

Fran\c{c}oise P\`ene, Hong-Kun Zhang, Paul Jung

arxiv:1809.08021 v4 · 2018-09-21 · math.DS · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQU5LJPWIBXL2IFSGE3MCEEIJF}

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	2026-05-17T23:45:52.823537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9429d5a5f6406ebd20b23136c11088496e256f0cdb6e4257c452d90fde176814

Aliases

arxiv: 1809.08021 · arxiv_version: 1809.08021v4 · doi: 10.48550/arxiv.1809.08021 · pith_short_12: SQU5LJPWIBXL · pith_short_16: SQU5LJPWIBXL2IFS · pith_short_8: SQU5LJPW

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/SQU5LJPWIBXL2IFSGE3MCEEIJF \
  | 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: 9429d5a5f6406ebd20b23136c11088496e256f0cdb6e4257c452d90fde176814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7a5e5757257180741a4c5ee52f35c479ad35204b25c79fc5a0b686c1244d79",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-21T10:22:19Z",
    "title_canon_sha256": "67f3b7588f56b1da2a5cfa89aedf470319c1829acd7ab7ca7a9e1859249a754a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08021",
    "kind": "arxiv",
    "version": 4
  }
}