Pith Number

pith:CFIM6JAO

pith:2023:CFIM6JAOAW2HQKGJ3EBFB3ANDL

not attested not anchored not stored refs pending

Integrable Mechanical Billiards in Higher Dimensional Space Forms

Airi Takeuchi, Lei Zhao

arxiv:2303.12443 v1 · 2023-03-22 · 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{CFIM6JAOAW2HQKGJ3EBFB3ANDL}

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	2026-07-05T05:53:41.647337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1150cf240e05b47828c9d90250ec0d1af57de30279f3e9328329367ab85c3ffc

Aliases

arxiv: 2303.12443 · arxiv_version: 2303.12443v1 · doi: 10.48550/arxiv.2303.12443 · pith_short_12: CFIM6JAOAW2H · pith_short_16: CFIM6JAOAW2HQKGJ · pith_short_8: CFIM6JAO

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/CFIM6JAOAW2HQKGJ3EBFB3ANDL \
  | 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: 1150cf240e05b47828c9d90250ec0d1af57de30279f3e9328329367ab85c3ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a787c1990fb807dbdeb67f52ea9c0c27bd4730e4f6d0378666fe09500bfc47",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-03-22T10:26:51Z",
    "title_canon_sha256": "5c1b008b7cb08ac39254921dd5b5512e539781a8ffe006ae741a02aabf068968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.12443",
    "kind": "arxiv",
    "version": 1
  }
}