Pith Number

pith:VUIT4XEZ

pith:2009:VUIT4XEZT7QHGZPADAPQWXAEEZ

not attested not anchored not stored refs pending

Chaos in cylindrical stadium billiards via a generic nonlinear mechanism

David P. Sanders, Thomas Gilbert

arxiv:0908.4243 v2 · 2009-08-28 · nlin.CD · cond-mat.stat-mech · 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{VUIT4XEZT7QHGZPADAPQWXAEEZ}

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	2026-05-18T03:34:25.874797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad113e5c999fe07365e0181f0b5c042646cc9d2492d471a72a50b238b498836f

Aliases

arxiv: 0908.4243 · arxiv_version: 0908.4243v2 · doi: 10.48550/arxiv.0908.4243 · pith_short_12: VUIT4XEZT7QH · pith_short_16: VUIT4XEZT7QHGZPA · pith_short_8: VUIT4XEZ

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/VUIT4XEZT7QHGZPADAPQWXAEEZ \
  | 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: ad113e5c999fe07365e0181f0b5c042646cc9d2492d471a72a50b238b498836f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "486679f94fd980ebd178a9a2c72b2b0d9b7897768cb3a6c60fb619f981939570",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2009-08-28T17:11:06Z",
    "title_canon_sha256": "711c5d7ab130b78a194a375758887c65c0038b7bf171c3eaec84f197ad3f007a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4243",
    "kind": "arxiv",
    "version": 2
  }
}