{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:A7BE4L3U6TZ6LEGMBK5ZDWDBTV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f7d2ae97d5800762d115de00e7a4efea8a1b71d136ff37e80463f26204620087","cross_cats_sorted":["cs.CG","cs.NA","cs.SY","eess.SY","math.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CE","submitted_at":"2026-07-07T09:58:25Z","title_canon_sha256":"7084437fcac90a6aab0e7ef9479dd2761a473b08465ed8455326ac8f0d394b2b"},"schema_version":"1.0","source":{"id":"2607.06087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.06087","created_at":"2026-07-08T01:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.06087v1","created_at":"2026-07-08T01:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06087","created_at":"2026-07-08T01:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"A7BE4L3U6TZ6","created_at":"2026-07-08T01:18:56Z"},{"alias_kind":"pith_short_16","alias_value":"A7BE4L3U6TZ6LEGM","created_at":"2026-07-08T01:18:56Z"},{"alias_kind":"pith_short_8","alias_value":"A7BE4L3U","created_at":"2026-07-08T01:18:56Z"}],"graph_snapshots":[{"event_id":"sha256:672de01ee909436d2b741b218cd192a1a85e7200b8cf6d7fbadb6b81306b0c37","target":"graph","created_at":"2026-07-08T01:18:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.06087/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents an approach and application of optimization of spatial packaging of interconnected systems with physical interactions (SPI2) in three-dimensional component placement problems. To enable its application for an automotive use case, SPI2 must support both initial design generation, including component alignment, and robust system-level coordination, requiring improved solution reliability and tractable computational cost. To address these requirements, the proposed methodology improves convergence rate and solution quality by enhancing numerical robustness in gradient-based op","authors_text":"Jorn van Kampen, Julien B\\\"uckmann, Theo Hofman","cross_cats":["cs.CG","cs.NA","cs.SY","eess.SY","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CE","submitted_at":"2026-07-07T09:58:25Z","title":"A Decomposition-Based Framework for Joint Optimization and Spatial Packaging of Interconnected Systems with Physical Interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06087","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ee5220368e68f0dd0e0481b354e8a1b69838e6a00bbb6004fdb073bee3785ace","target":"record","created_at":"2026-07-08T01:18:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f7d2ae97d5800762d115de00e7a4efea8a1b71d136ff37e80463f26204620087","cross_cats_sorted":["cs.CG","cs.NA","cs.SY","eess.SY","math.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CE","submitted_at":"2026-07-07T09:58:25Z","title_canon_sha256":"7084437fcac90a6aab0e7ef9479dd2761a473b08465ed8455326ac8f0d394b2b"},"schema_version":"1.0","source":{"id":"2607.06087","kind":"arxiv","version":1}},"canonical_sha256":"07c24e2f74f4f3e590cc0abb91d8619d49c7f681be2b7d53a8e110cf78cf0e96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07c24e2f74f4f3e590cc0abb91d8619d49c7f681be2b7d53a8e110cf78cf0e96","first_computed_at":"2026-07-08T01:18:56.301679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-08T01:18:56.301679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sCebkMA43qzg8PNwtcXuFTD5ILJzdv1Vmmw39UtiYbWTPBfYw/zZtUNraUcVpUEfVBIXd8/pKBZMyFVbZKW0Dw==","signature_status":"signed_v1","signed_at":"2026-07-08T01:18:56.302245Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.06087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee5220368e68f0dd0e0481b354e8a1b69838e6a00bbb6004fdb073bee3785ace","sha256:672de01ee909436d2b741b218cd192a1a85e7200b8cf6d7fbadb6b81306b0c37"],"state_sha256":"b828f053225cf18986a500dbbc24bb9da868a5fcad250a5b357dc562990e551c"}