Pith Number

pith:QEVL2Z2D

pith:2009:QEVL2Z2DA4AYTLGOSTZCSKEBXE

not attested not anchored not stored refs pending

Bifurcations of Liouville Tori in Elliptical Billiards

Milena Radnovic, Vladimir Dragovic

arxiv:0902.4233 v2 · 2009-02-24 · nlin.SI · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEVL2Z2DA4AYTLGOSTZCSKEBXE}

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	2026-05-18T02:14:39.282618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812abd6743070189acce94f2292881b90e9920e8a5eac6e899da908a2aa4b680

Aliases

arxiv: 0902.4233 · arxiv_version: 0902.4233v2 · doi: 10.48550/arxiv.0902.4233 · pith_short_12: QEVL2Z2DA4AY · pith_short_16: QEVL2Z2DA4AYTLGO · pith_short_8: QEVL2Z2D

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/QEVL2Z2DA4AYTLGOSTZCSKEBXE \
  | 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: 812abd6743070189acce94f2292881b90e9920e8a5eac6e899da908a2aa4b680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493f40cb34d32fdb330d888dc1ff2d95640b4a4d9be056f8eec1bc5dfce4729f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2009-02-24T20:56:27Z",
    "title_canon_sha256": "73e6fc8fd38066b085d48e951fe55af01e7d530a63a84940dce2d17ed9f54f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4233",
    "kind": "arxiv",
    "version": 2
  }
}