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Pith Number

pith:N67I6AWT

pith:2026:N67I6AWTFBXGCN5HJU7TF5SEBW
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Exploring the link between coil non-planarity and magnetic surface geometry across a dataset of QI stellarators

Andrea Pavone, Felix Warmer, Sehyun Kwak

The principal-direction rotation rate of the plasma boundary is the strongest single predictor of coil non-planarity in quasi-isodynamic stellarators.

arxiv:2604.26763 v3 · 2026-04-29 · physics.plasm-ph

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\pithnumber{N67I6AWTFBXGCN5HJU7TF5SEBW}

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3 Author claim open · sign in to claim
4 Citations open
5 Replications open
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Claims

C1strongest claim

the principal-direction rotation rate of the plasma boundary is the single best predictor of coil non-planarity, while a Random Forest model using up to four surface features achieves R2 = 0.882 for the same target. These results provide quantitative evidence that the rate of change of the principal curvatures across the plasma boundary are the primary drivers of coil non-planarity in this dataset of quasi-isodynamic stellarators.

C2weakest assumption

That the filamentary coil configurations obtained via constrained optimization in SIMSOPT faithfully represent the minimal coil complexity required to support the given plasma boundary, and that the Constellaration dataset adequately samples the space of realistic QI stellarators.

C3one line summary

In quasi-isodynamic stellarators, the principal-direction rotation rate of the plasma boundary is the best single predictor of coil non-planarity, with a Random Forest model using four surface geometry features achieving R² = 0.882.

Receipt and verification
First computed 2026-05-20T00:03:12.794397Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6fbe8f02d3286e6137a74d3f32f6440db3f72238ddd6cfb8b32f73cee63bbc5e

Aliases

arxiv: 2604.26763 · arxiv_version: 2604.26763v3 · doi: 10.48550/arxiv.2604.26763 · pith_short_12: N67I6AWTFBXG · pith_short_16: N67I6AWTFBXGCN5H · pith_short_8: N67I6AWT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N67I6AWTFBXGCN5HJU7TF5SEBW \
  | 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: 6fbe8f02d3286e6137a74d3f32f6440db3f72238ddd6cfb8b32f73cee63bbc5e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bd03630401747652d29b494578092260af60b98fc154494b20f27ee01ef4539d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2026-04-29T14:57:50Z",
    "title_canon_sha256": "9dc2ab0cbe9cf67c648d84ab82aa19eb8b3ee8cc0304a5db542340b660f5ae38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26763",
    "kind": "arxiv",
    "version": 3
  }
}