Pith Number

pith:7NZ4FFIS

pith:2023:7NZ4FFISGCUX2LQVBLQEO62CYT

not attested not anchored not stored refs pending

Kustaanheimo-Stiefel Transformation, Birkhoff-Waldvogel Transformation and Integrable Mechanical Billiards

Airi Takeuchi, Lei Zhao

arxiv:2311.08920 v1 · 2023-11-15 · 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{7NZ4FFISGCUX2LQVBLQEO62CYT}

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	2026-07-05T07:13:06.221280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb73c2951230a97d2e150ae0477b42c4e57ce80381ef809d3bfaa3063435ec53

Aliases

arxiv: 2311.08920 · arxiv_version: 2311.08920v1 · doi: 10.48550/arxiv.2311.08920 · pith_short_12: 7NZ4FFISGCUX · pith_short_16: 7NZ4FFISGCUX2LQV · pith_short_8: 7NZ4FFIS

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/7NZ4FFISGCUX2LQVBLQEO62CYT \
  | 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: fb73c2951230a97d2e150ae0477b42c4e57ce80381ef809d3bfaa3063435ec53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6918e0339c0c1f67bf74b750616cc8187fb1bffb056adacba4bb5379ba1236b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-11-15T12:46:46Z",
    "title_canon_sha256": "b2d0b24be12c21823153d09886df102c839176af6b8aa02944a92435b85dfbf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08920",
    "kind": "arxiv",
    "version": 1
  }
}