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Pith Number

pith:RZHAJE55

pith:2025:RZHAJE55BPLTZ5AS2PVDUOT4OF
not attested not anchored not stored refs pending

On the Birkhoff conjecture for Kepler billiards

Irene De Blasi, Stefano Baranzini, Susanna Terracini, Vivina L. Barutello

arxiv:2507.08446 v1 · 2025-07-11 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RZHAJE55BPLTZ5AS2PVDUOT4OF}

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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

2 papers in Pith

Receipt and verification
First computed 2026-07-05T11:35:38.363601Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8e4e0493bd0bd73cf412d3ea3a3a7c714013ea032b11c717880165a92f717cb7

Aliases

arxiv: 2507.08446 · arxiv_version: 2507.08446v1 · doi: 10.48550/arxiv.2507.08446 · pith_short_12: RZHAJE55BPLT · pith_short_16: RZHAJE55BPLTZ5AS · pith_short_8: RZHAJE55
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RZHAJE55BPLTZ5AS2PVDUOT4OF \
  | 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: 8e4e0493bd0bd73cf412d3ea3a3a7c714013ea032b11c717880165a92f717cb7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bb4729bb2746a11621fe38fcbe400fe5119662bf6e885aeb566316c6fc3fccd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-11T09:37:55Z",
    "title_canon_sha256": "6c0efecbe186c6d0263d76aa5634848c2946f4b6b65e09d642166454bf99f139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08446",
    "kind": "arxiv",
    "version": 1
  }
}