{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JF7QXKQYKQAJNQ3IT3JXQS7D57","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":"ea017a2b84410c39198a84b1675af4a32895a938f266027f98f3fbf36be579d2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-09T19:06:55Z","title_canon_sha256":"ed1f9d84616df0c4e0f86a735d86181bdbc4622439f2b8b29fa59fdcd154b8a6"},"schema_version":"1.0","source":{"id":"2606.11383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.11383","created_at":"2026-06-11T00:08:22Z"},{"alias_kind":"arxiv_version","alias_value":"2606.11383v1","created_at":"2026-06-11T00:08:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11383","created_at":"2026-06-11T00:08:22Z"},{"alias_kind":"pith_short_12","alias_value":"JF7QXKQYKQAJ","created_at":"2026-06-11T00:08:22Z"},{"alias_kind":"pith_short_16","alias_value":"JF7QXKQYKQAJNQ3I","created_at":"2026-06-11T00:08:22Z"},{"alias_kind":"pith_short_8","alias_value":"JF7QXKQY","created_at":"2026-06-11T00:08:22Z"}],"graph_snapshots":[{"event_id":"sha256:1d49ccef61e9c42a31ac3b8db5752ac4795267481578de24f8eeb164e9730b97","target":"graph","created_at":"2026-06-11T00:08:22Z","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/2606.11383/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Rolling stock planning is a complex optimization problem in railway management that involves assigning physical trains to scheduled trips while minimizing operational costs. In this work, we address a specific instance of this problem featuring 190 trips over two days, subject to constraints such as mandatory maintenance stops. We reformulate the problem as a Maximum-Weight Independent Set (MWIS) problem on a graph where nodes represent feasible train cycles. To handle the computational complexity of the large search space, we propose a hybrid divide-and-conquer algorithm. This approach iterat","authors_text":"Elisabeth Wybo, Ji\\v{r}\\'i Guth Jarkovsk\\'y, Martin Leib, Patricia Bickert","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-09T19:06:55Z","title":"Rolling Stock Planning Using the Quantum Approximate Optimization Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11383","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:c054dcd5f710e1c964de8a3770288b54d6c5065bd58b690b64a41fe5b5c52f24","target":"record","created_at":"2026-06-11T00:08:22Z","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":"ea017a2b84410c39198a84b1675af4a32895a938f266027f98f3fbf36be579d2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-09T19:06:55Z","title_canon_sha256":"ed1f9d84616df0c4e0f86a735d86181bdbc4622439f2b8b29fa59fdcd154b8a6"},"schema_version":"1.0","source":{"id":"2606.11383","kind":"arxiv","version":1}},"canonical_sha256":"497f0baa18540096c3689ed3784be3efcb1e7265da086c4cb7df885b26bc1c7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"497f0baa18540096c3689ed3784be3efcb1e7265da086c4cb7df885b26bc1c7d","first_computed_at":"2026-06-11T00:08:22.681028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T00:08:22.681028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AVD+zyZctFzMLESFKTnhUUOz3W0nmOWcIcbFsrNWGbBoeL5hxG+ZeJAmege7N3+j2LJGgHJ/Vg8u+CeAscm5BA==","signature_status":"signed_v1","signed_at":"2026-06-11T00:08:22.681867Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.11383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c054dcd5f710e1c964de8a3770288b54d6c5065bd58b690b64a41fe5b5c52f24","sha256:1d49ccef61e9c42a31ac3b8db5752ac4795267481578de24f8eeb164e9730b97"],"state_sha256":"5577ca8c020b0f6ae60f3dcba7e1c012c1b77021b9358198a1e8c3d44c2c1b7c"}