{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:276CL2O5C7KAASVVS3YJDGOKQU","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":"a4377b0894df3b5afad76568ecd2d3bee43e7ff9e6739abddf68a858ee6cd860","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-20T10:53:45Z","title_canon_sha256":"9c1f07c713cb74206fc2f664043380b8912fff431852bb06131f71a31a1ac407"},"schema_version":"1.0","source":{"id":"1504.05009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05009","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05009v1","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05009","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"pith_short_12","alias_value":"276CL2O5C7KA","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"276CL2O5C7KAASVV","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"276CL2O5","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:ba97f40036cec5698776ef227db9bcfbb9406e4d793071cc2681ff59e00999ad","target":"graph","created_at":"2026-05-18T02:18:22Z","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"},"paper":{"abstract_excerpt":"Robust optimization is concerned with constructing solutions that remain feasible also when a limited number of resources is removed from the solution. Most studies of robust combinatorial optimization to date made the assumption that every resource is equally vulnerable, and that the set of scenarios is implicitly given by a single budget constraint. This paper studies a robustness model of a different kind. We focus on \\textbf{bulk-robustness}, a model recently introduced~\\cite{bulk} for addressing the need to model non-uniform failure patterns in systems.\n  We significantly extend the techn","authors_text":"David Adjiashvili","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-20T10:53:45Z","title":"Non-Uniform Robust Network Design in Planar Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05009","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":"sha256:5b16ad8b7b65d94b00bd89acf19ffea77ca9ff8657dacf7eb3ab4710612b7f40","target":"record","created_at":"2026-05-18T02:18:22Z","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":"a4377b0894df3b5afad76568ecd2d3bee43e7ff9e6739abddf68a858ee6cd860","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-20T10:53:45Z","title_canon_sha256":"9c1f07c713cb74206fc2f664043380b8912fff431852bb06131f71a31a1ac407"},"schema_version":"1.0","source":{"id":"1504.05009","kind":"arxiv","version":1}},"canonical_sha256":"d7fc25e9dd17d4004ab596f09199ca851257fe16877cc5be9d7c189bdd80c39d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7fc25e9dd17d4004ab596f09199ca851257fe16877cc5be9d7c189bdd80c39d","first_computed_at":"2026-05-18T02:18:22.919061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:22.919061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MhXlq6hQb5Y84h8SBPP6a0Zhrm6z5F8xCVtImM6cGwM1TU+oUU+OeXYAfRzRh237FdCQygnEP43VfYPl0i4dAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:22.919716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b16ad8b7b65d94b00bd89acf19ffea77ca9ff8657dacf7eb3ab4710612b7f40","sha256:ba97f40036cec5698776ef227db9bcfbb9406e4d793071cc2681ff59e00999ad"],"state_sha256":"dd108362f6980ab68a08e29d479d8c75562cfd0727ce5280f779d784501e5727"}