Pith Number

pith:Z6AVUQP7

pith:2009:Z6AVUQP7REROS27CIHJ57UC4IO

not attested not anchored not stored refs pending

Correlations for pairs of periodic trajectories for open billiards

Luchezar Stoyanov, Vesselin Petkov

arxiv:0906.1257 v3 · 2009-06-06 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6AVUQP7REROS27CIHJ57UC4IO}

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	2026-05-18T02:13:28.531440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf815a41ff8922e96be241d3dfd05c43b4805601a98dff629267c7674611340a

Aliases

arxiv: 0906.1257 · arxiv_version: 0906.1257v3 · doi: 10.48550/arxiv.0906.1257 · pith_short_12: Z6AVUQP7RERO · pith_short_16: Z6AVUQP7REROS27C · pith_short_8: Z6AVUQP7

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/Z6AVUQP7REROS27CIHJ57UC4IO \
  | 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: cf815a41ff8922e96be241d3dfd05c43b4805601a98dff629267c7674611340a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f99c92cda70ea207d786da3dbd7386178ac86c75e51a30057def82ca377b89",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-06-06T08:43:34Z",
    "title_canon_sha256": "a809e8fac55d16acefa549d5fd38baef42d4965cf2503eb202f59d56b1daafaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1257",
    "kind": "arxiv",
    "version": 3
  }
}