Pith Number

pith:H5YW45CU

pith:2026:H5YW45CU3BOQ466Z7QHPQXBDLM

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Spatial Optimization of Interconnected Systems in Non-Convex Design Spaces

S. Westerhof, T. Hofman

A smooth inside-outside function lets optimizers pack interconnected components into arbitrary non-convex geometries while handling routing and physics.

arxiv:2605.17387 v1 · 2026-05-17 · cs.CE · cs.MS

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Record completeness

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4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

Results show that the optimizer can place multiple interconnected components within a custom geometry while simultaneously handling routing and physics-based objectives. The approach maintains geometric feasibility within numerical tolerance.

C2weakest assumption

The Maximal Disjoint Ball Decomposition (MDBD) method supplies an accurate and differentiable inside-outside evaluation suitable for arbitrary non-convex design boundaries during optimization.

C3one line summary

Extends SPI2 with differentiable MDBD-based inside-outside evaluation for non-convex spaces, integrates center-of-gravity and inertia calculations, and demonstrates an end-to-end CAD workflow on a fictional aircraft unit.

References

25 extracted · 25 resolved · 1 Pith anchors

[1] S. R. T. Peddada, L. E. Zeidner, K. A. James, and J. T. Allison, “An Introduction to 3D SPI2 (Spatial Packaging of Interconnected Systems With Physics Interactions) Design Problems: A Review of Relate 2021 · doi:10.1115/detc2021-72106

[3] G. Bossi, A. Damiano, N. Campagna, V . Castiglia, R. Miceli, and A. O. Di Tommaso, ‘A Hybrid Storage Systems for All Electric Aircraft’, in 2021 IEEE 15th International Conference on Compatibility, Po 2021 · doi:10.1109/cpe-powereng50821.2021.9501189

[4] J. Van Kampen, M. Salazar, and T. Hofman, ‘A Two-dimensional Spatial Optimization Framework for Vehicle Powertrain Systems’, in 2023 IEEE Vehicle Power and Propulsion Conference (VPPC), Milan, Italy: 2023 · doi:10.1109/vppc60535.2023.10403195

[5] Design and implementation of a low-cost, tabletop MRI scanner for education and research prototyping, 2020 · doi:10.1016/j.jmr.2019.106625

[6] Transforming Wastewater Management: The Evolution and Future of Compact STPs, 2024 · doi:10.1109/c-

Formal links

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Receipt and verification

First computed	2026-05-20T00:03:55.981208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f716e7454d85d0e7bd9fc0ef85c235b25d3c56dac4931a10ac0c200a3a92e92

Aliases

arxiv: 2605.17387 · arxiv_version: 2605.17387v1 · doi: 10.48550/arxiv.2605.17387 · pith_short_12: H5YW45CU3BOQ · pith_short_16: H5YW45CU3BOQ466Z · pith_short_8: H5YW45CU

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H5YW45CU3BOQ466Z7QHPQXBDLM \
  | 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: 3f716e7454d85d0e7bd9fc0ef85c235b25d3c56dac4931a10ac0c200a3a92e92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "129bec3c006eb58f58f1a80395f3f91ac02ca99f67c661fbf167f9804a998bda",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-05-17T11:11:23Z",
    "title_canon_sha256": "87aa01df31c89a0da15530b44f7af1c44b3673a4adce7f4326083f19a3a7d0ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17387",
    "kind": "arxiv",
    "version": 1
  }
}