Pith Number

pith:KXRR76UE

pith:2018:KXRR76UECE6IUZQNB6AYW3AA6Q

not attested not anchored not stored refs pending

3D billiards: visualization of regular structures and trapping of chaotic trajectories

Arnd B\"acker, Markus Firmbach, Roland Ketzmerick, Steffen Lange

arxiv:1805.06823 v2 · 2018-05-17 · 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{KXRR76UECE6IUZQNB6AYW3AA6Q}

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	2026-05-18T00:07:23.432670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e31ffa84113c8a660d0f818b6c00f434c1527193b86256d53b1e4bea153e49

Aliases

arxiv: 1805.06823 · arxiv_version: 1805.06823v2 · doi: 10.48550/arxiv.1805.06823 · pith_short_12: KXRR76UECE6I · pith_short_16: KXRR76UECE6IUZQN · pith_short_8: KXRR76UE

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/KXRR76UECE6IUZQNB6AYW3AA6Q \
  | 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: 55e31ffa84113c8a660d0f818b6c00f434c1527193b86256d53b1e4bea153e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e16f4d25d2cbc0067d14056eab88054d85874f93800b91da47d146c44845ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2018-05-17T15:35:09Z",
    "title_canon_sha256": "574c13af2dbf4448672be1ce44fbf76d12ec76cd7ebd4ca2c9572230b541194f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06823",
    "kind": "arxiv",
    "version": 2
  }
}