pith. sign in
Pith Number

pith:T4VGOSNX

pith:2011:T4VGOSNXTP6A3J2UBOGDZK2DTY
not attested not anchored not stored refs pending

Scaling Invariance in a Time-Dependent Elliptical Billiard

Diego F. M. Oliveira, Marko Robnik

arxiv:1103.6223 v1 · 2011-03-31 · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T4VGOSNXTP6A3J2UBOGDZK2DTY}

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 2026-05-18T00:54:42.099690Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9f2a6749b79bfc0da7540b8c3cab439e0b8b7ddddaf82957ad78d2b660b36b25

Aliases

arxiv: 1103.6223 · arxiv_version: 1103.6223v1 · doi: 10.48550/arxiv.1103.6223 · pith_short_12: T4VGOSNXTP6A · pith_short_16: T4VGOSNXTP6A3J2U · pith_short_8: T4VGOSNX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T4VGOSNXTP6A3J2UBOGDZK2DTY \
  | 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: 9f2a6749b79bfc0da7540b8c3cab439e0b8b7ddddaf82957ad78d2b660b36b25
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9d753bfd3e1e8022a80fe452787a0fd667485e6f0304679cb87a29543f47a257",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-03-31T16:00:03Z",
    "title_canon_sha256": "a614d6938503fedf0597340100fc118471d19e53caa79bb8c275dafa123bf89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6223",
    "kind": "arxiv",
    "version": 1
  }
}