Pith Number

pith:GSI5KYOF

pith:2022:GSI5KYOF7CSCAJL457SAT56O3A

not attested not anchored not stored refs pending

Shortest Minkowski billiard trajectories on convex bodies

Daniel Rudolf, Stefan Krupp

arxiv:2203.01802 v1 · 2022-03-03 · 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{GSI5KYOF7CSCAJL457SAT56O3A}

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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	2026-07-05T04:01:52.019165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3491d561c5f8a420257cefe409f7ced82ff4197762a71abc836700c04e1a46d4

Aliases

arxiv: 2203.01802 · arxiv_version: 2203.01802v1 · doi: 10.48550/arxiv.2203.01802 · pith_short_12: GSI5KYOF7CSC · pith_short_16: GSI5KYOF7CSCAJL4 · pith_short_8: GSI5KYOF

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/GSI5KYOF7CSCAJL457SAT56O3A \
  | 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: 3491d561c5f8a420257cefe409f7ced82ff4197762a71abc836700c04e1a46d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14437f27c51824d924bae9ba4213fa795fe94d83887d5847e3a2f3adfb026240",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-03-03T16:17:33Z",
    "title_canon_sha256": "056616ad960de8f031499fb5a51d1bd413fbe6ef0f09b22c10da9e6978d64958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.01802",
    "kind": "arxiv",
    "version": 1
  }
}