Pith Number

pith:GPOGSUI6

pith:1995:GPOGSUI6QSXFSEWJ6YQQIOO7SP

not attested not anchored not stored refs pending

Symbolic Dynamics and Periodic Orbits for the Cardioid Billiard

A. B\"acker, H.R. Dullin

arxiv:chao-dyn/9511004 v1 · 1995-11-16 · chao-dyn · 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{GPOGSUI6QSXFSEWJ6YQQIOO7SP}

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	2026-05-18T03:20:07.124833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33dc69511e84ae5912c9f6210439df93deffd35822f1e7954f0a3f15b8bbc124

Aliases

arxiv: chao-dyn/9511004 · arxiv_version: chao-dyn/9511004v1 · doi: 10.48550/arxiv.chao-dyn/9511004 · pith_short_12: GPOGSUI6QSXF · pith_short_16: GPOGSUI6QSXFSEWJ · pith_short_8: GPOGSUI6

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/GPOGSUI6QSXFSEWJ6YQQIOO7SP \
  | 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: 33dc69511e84ae5912c9f6210439df93deffd35822f1e7954f0a3f15b8bbc124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01552cf73e60ef873e411f4666580ffb1e622e2feff6fe43340afe3a9e9ddf3e",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1995-11-16T18:05:48Z",
    "title_canon_sha256": "2ccdbd185fa094ada8c40a5161c1f1a79b78ad699b682c5f5c380c454fe1b7d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9511004",
    "kind": "arxiv",
    "version": 1
  }
}