pith. sign in
Pith Number

pith:4Y7G455L

pith:2012:4Y7G455L7EJMQAP3WY3NBKSSKE
not attested not anchored not stored refs pending

Recurrence of particles in static and time varying oval billiards

Carl P. Dettmann, Edson D. Leonel

arxiv:1203.6235 v1 · 2012-03-28 · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4Y7G455L7EJMQAP3WY3NBKSSKE}

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 2026-05-18T01:58:01.024778Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e63e6e77abf912c801fbb636d0aa525122a24f647e7c49e79697f0cef1053825

Aliases

arxiv: 1203.6235 · arxiv_version: 1203.6235v1 · doi: 10.48550/arxiv.1203.6235 · pith_short_12: 4Y7G455L7EJM · pith_short_16: 4Y7G455L7EJMQAP3 · pith_short_8: 4Y7G455L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4Y7G455L7EJMQAP3WY3NBKSSKE \
  | 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: e63e6e77abf912c801fbb636d0aa525122a24f647e7c49e79697f0cef1053825
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9700d7d51ee46df1049f84977890729736559dd09d85c8f654e3a6c5857ed85b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-03-28T11:41:50Z",
    "title_canon_sha256": "813db7047c36253cb2f32a6fd12e8f4a0b425215266f7cd605725c0becded4d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6235",
    "kind": "arxiv",
    "version": 1
  }
}