Pith Number

pith:BVND4LON

pith:2026:BVND4LONKSOWIXKSSOJLB6H7FF

not attested not anchored not stored refs pending

On the First Caustic of Elliptical Billiards

Aleksandra Uskova

arxiv:2606.04132 v1 · 2026-06-02 · math.DS · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVND4LONKSOWIXKSSOJLB6H7FF}

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	2026-06-04T00:06:51.465163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d5a3e2dcd549d645d529392b0f8ff296b8673eccccb04a04e1eddbd589e3bef

Aliases

arxiv: 2606.04132 · arxiv_version: 2606.04132v1 · doi: 10.48550/arxiv.2606.04132 · pith_short_12: BVND4LONKSOW · pith_short_16: BVND4LONKSOWIXKS · pith_short_8: BVND4LON

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/BVND4LONKSOWIXKSSOJLB6H7FF \
  | 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: 0d5a3e2dcd549d645d529392b0f8ff296b8673eccccb04a04e1eddbd589e3bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9febbaa356f067ee43340254dd742d1ff8e469282eaf39de7d7dc756f5c471c3",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-02T18:42:16Z",
    "title_canon_sha256": "513d5ed1cf900e961d13a383697789a2508decf1b4676552b707cb19c850ab2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04132",
    "kind": "arxiv",
    "version": 1
  }
}