Pith Number

pith:LK3U2UND

pith:2024:LK3U2UNDCVE3G3NF537QO5ICSK

not attested not anchored not stored refs pending

Symplectic billiards for pairs of polygons

Fabian Lander, Jannik M. Westermann, Peter Albers

arxiv:2402.12244 v1 · 2024-02-19 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LK3U2UNDCVE3G3NF537QO5ICSK}

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.

Cited by

1 paper in Pith

Symplectic billiards as Minkowski billiards

Receipt and verification

First computed	2026-07-05T07:46:50.999261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ab74d51a31549b36da5eeff07750292b656c0e85115cbb94f5c22a54a9ea26c

Aliases

arxiv: 2402.12244 · arxiv_version: 2402.12244v1 · doi: 10.48550/arxiv.2402.12244 · pith_short_12: LK3U2UNDCVE3 · pith_short_16: LK3U2UNDCVE3G3NF · pith_short_8: LK3U2UND

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/LK3U2UNDCVE3G3NF537QO5ICSK \
  | 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: 5ab74d51a31549b36da5eeff07750292b656c0e85115cbb94f5c22a54a9ea26c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceccd883b1b07eb61f6ba34eb54749af0a783414cdf3b74615646230fa2434a6",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-02-19T15:58:21Z",
    "title_canon_sha256": "ee161314643e322b492538321d27860d2cf7c5c869f9ca99c5a5a31483e450c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.12244",
    "kind": "arxiv",
    "version": 1
  }
}