pith. sign in
Pith Number

pith:H2NIAJBC

pith:2025:H2NIAJBCOKPF3EC6R4KWMILFAI
not attested not anchored not stored refs pending

Poncelet property of planar elliptic integrable Kepler billiards

Daniel Jaud, Lei Zhao

arxiv:2511.06464 v2 · 2025-11-09 · math.DS · math-ph · math.MP · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{H2NIAJBCOKPF3EC6R4KWMILFAI}

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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.
Receipt and verification
First computed 2026-05-22T01:03:49.305031Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e9a802422729e5d905e8f15662165020ee0d8c2533c04f77bced50f4f08f33b

Aliases

arxiv: 2511.06464 · arxiv_version: 2511.06464v2 · doi: 10.48550/arxiv.2511.06464 · pith_short_12: H2NIAJBCOKPF · pith_short_16: H2NIAJBCOKPF3EC6 · pith_short_8: H2NIAJBC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/H2NIAJBCOKPF3EC6R4KWMILFAI \
  | 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: 3e9a802422729e5d905e8f15662165020ee0d8c2533c04f77bced50f4f08f33b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2e0bc7039ae4db4b72e1e051712e3ce920d8439266729539152c048a7c5896fc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-11-09T17:15:44Z",
    "title_canon_sha256": "f0817e9c63322c04dab1c40934a0227428e306e3e1e27460a02a645e58dd0f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06464",
    "kind": "arxiv",
    "version": 2
  }
}