Pith Number

pith:TF53NJBW

pith:2013:TF53NJBWJLFF5T5W4WU4UX6E3B

not attested not anchored not stored refs pending

Separation of particles leading to decay and unlimited growth of energy in a driven stadium-like billiard

Andr\'e L.P. Livorati, Carl P. Dettmann, Edson D. Leonel, Iber\^e L. Caldas, Matheus S. Palmero

arxiv:1310.3615 v3 · 2013-10-14 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TF53NJBWJLFF5T5W4WU4UX6E3B}

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	2026-05-18T01:37:30.068298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997bb6a4364aca5ecfb6e5a9ca5fc4d85ebc5177460841ff0f32040c088e0425

Aliases

arxiv: 1310.3615 · arxiv_version: 1310.3615v3 · doi: 10.48550/arxiv.1310.3615 · pith_short_12: TF53NJBWJLFF · pith_short_16: TF53NJBWJLFF5T5W · pith_short_8: TF53NJBW

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/TF53NJBWJLFF5T5W4WU4UX6E3B \
  | 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: 997bb6a4364aca5ecfb6e5a9ca5fc4d85ebc5177460841ff0f32040c088e0425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bead386c540795a3d1e5d8fe0fb8c2f65b4d37875d8ecf33a05cc8d8e0c4e41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-10-14T10:08:15Z",
    "title_canon_sha256": "b7151bd49e99bb57ebe876cb4b4036b35d0135599f26309e3a25216f8ba2df3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3615",
    "kind": "arxiv",
    "version": 3
  }
}