Pith Number

pith:OKR6XBLP

pith:2026:OKR6XBLPIFBMWDAKQTCAT4QINY

not attested not anchored not stored refs pending

On exotic rationally integrable planar dual billiards I. Complex geometry and type of dynamics

Alexey Glutsyuk

arxiv:2605.24434 v1 · 2026-05-23 · math.DS · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKR6XBLPIFBMWDAKQTCAT4QINY}

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	2026-05-26T01:03:39.480673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a3eb856f4142cb0c0a84c409f2086e39701dbf03372da131452d0f2d4dbceb

Aliases

arxiv: 2605.24434 · arxiv_version: 2605.24434v1 · doi: 10.48550/arxiv.2605.24434 · pith_short_12: OKR6XBLPIFBM · pith_short_16: OKR6XBLPIFBMWDAK · pith_short_8: OKR6XBLP

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/OKR6XBLPIFBMWDAKQTCAT4QINY \
  | 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: 72a3eb856f4142cb0c0a84c409f2086e39701dbf03372da131452d0f2d4dbceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911e440db3143ec56deb8bee12d0af40827fdcb77cfc8b5b06d224339000c5e3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-23T07:10:21Z",
    "title_canon_sha256": "a4d67b2aca880e21aa7e64e319e5e69667586be7b734762439ee2649e59e835c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24434",
    "kind": "arxiv",
    "version": 1
  }
}