{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CL5TBPHLZDFS73LDEIXNTNEP5K","short_pith_number":"pith:CL5TBPHL","canonical_record":{"source":{"id":"1507.07207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-26T15:03:47Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"cd7dbda2de457a558b1787f17145bfc667a1404a9e5f7cff3b4926a1482110cd","abstract_canon_sha256":"ff8553c35777e0565219d16365575bf42a568b8f464c7a22c36aa92347807456"},"schema_version":"1.0"},"canonical_sha256":"12fb30bcebc8cb2fed63222ed9b48feaad968094b52fbb9c3a29fd6fdcc9fdbb","source":{"kind":"arxiv","id":"1507.07207","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07207","created_at":"2026-05-18T01:12:38Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07207v2","created_at":"2026-05-18T01:12:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07207","created_at":"2026-05-18T01:12:38Z"},{"alias_kind":"pith_short_12","alias_value":"CL5TBPHLZDFS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CL5TBPHLZDFS73LD","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CL5TBPHL","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CL5TBPHLZDFS73LDEIXNTNEP5K","target":"record","payload":{"canonical_record":{"source":{"id":"1507.07207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-26T15:03:47Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"cd7dbda2de457a558b1787f17145bfc667a1404a9e5f7cff3b4926a1482110cd","abstract_canon_sha256":"ff8553c35777e0565219d16365575bf42a568b8f464c7a22c36aa92347807456"},"schema_version":"1.0"},"canonical_sha256":"12fb30bcebc8cb2fed63222ed9b48feaad968094b52fbb9c3a29fd6fdcc9fdbb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:38.039963Z","signature_b64":"H9fShZ+ThK6fC5IYkeuzN5UdFkAHO6VoRpOzPF+lX4jij4M4veG1hCPWYFQcubbHt59kJyfhgWD074vpY+exCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12fb30bcebc8cb2fed63222ed9b48feaad968094b52fbb9c3a29fd6fdcc9fdbb","last_reissued_at":"2026-05-18T01:12:38.039580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:38.039580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.07207","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wH3ZU8ms1qK+6YdwmqCFCR7PZRSpIApCtysj2D7PU0CPbKAZG9Kbp29ds58YXKBnHxTVamIHHYcQq+rrlhOUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:16:26.609783Z"},"content_sha256":"5d5238ab9196cee06cf1e9bb794052c40c30ebaa0b6e60af1cc5d6d2331bb7b3","schema_version":"1.0","event_id":"sha256:5d5238ab9196cee06cf1e9bb794052c40c30ebaa0b6e60af1cc5d6d2331bb7b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CL5TBPHLZDFS73LDEIXNTNEP5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structural Minimum Controllability Problem for Linear Continuous-Time Switching Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"George J. Pappas, Sergio Pequito","submitted_at":"2015-07-26T15:03:47Z","abstract_excerpt":"This paper addresses a structural design problem in control systems, and explicitly takes into consideration the possible application to large-scale systems. More precisely, we aim to determine and characterize the minimum number of manipulated state variables ensuring structural controllability of switched linear continuous-time systems. Towards this goal, we provide a new necessary and sufficient condition that leverages both graph-theoretic and algebraic properties required to ensure feasibility of the solutions. With this new condition, we show that a solution can be determined by an effic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07207","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VitkhrAP04+8s2Oz6rdLDq6Eyujf9/ojFBJgGmMz0pMl04tIySw/xWLsYmokDHRxT/yqcqQMjs2gGGDBZdcTDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:16:26.610120Z"},"content_sha256":"db6e011e265f5777fba2ea04da0bc39eed948326f790c59085e1a3570b4600f5","schema_version":"1.0","event_id":"sha256:db6e011e265f5777fba2ea04da0bc39eed948326f790c59085e1a3570b4600f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CL5TBPHLZDFS73LDEIXNTNEP5K/bundle.json","state_url":"https://pith.science/pith/CL5TBPHLZDFS73LDEIXNTNEP5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CL5TBPHLZDFS73LDEIXNTNEP5K/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T16:16:26Z","links":{"resolver":"https://pith.science/pith/CL5TBPHLZDFS73LDEIXNTNEP5K","bundle":"https://pith.science/pith/CL5TBPHLZDFS73LDEIXNTNEP5K/bundle.json","state":"https://pith.science/pith/CL5TBPHLZDFS73LDEIXNTNEP5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CL5TBPHLZDFS73LDEIXNTNEP5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CL5TBPHLZDFS73LDEIXNTNEP5K","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":"ff8553c35777e0565219d16365575bf42a568b8f464c7a22c36aa92347807456","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-26T15:03:47Z","title_canon_sha256":"cd7dbda2de457a558b1787f17145bfc667a1404a9e5f7cff3b4926a1482110cd"},"schema_version":"1.0","source":{"id":"1507.07207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07207","created_at":"2026-05-18T01:12:38Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07207v2","created_at":"2026-05-18T01:12:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07207","created_at":"2026-05-18T01:12:38Z"},{"alias_kind":"pith_short_12","alias_value":"CL5TBPHLZDFS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CL5TBPHLZDFS73LD","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CL5TBPHL","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:db6e011e265f5777fba2ea04da0bc39eed948326f790c59085e1a3570b4600f5","target":"graph","created_at":"2026-05-18T01:12:38Z","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":"This paper addresses a structural design problem in control systems, and explicitly takes into consideration the possible application to large-scale systems. More precisely, we aim to determine and characterize the minimum number of manipulated state variables ensuring structural controllability of switched linear continuous-time systems. Towards this goal, we provide a new necessary and sufficient condition that leverages both graph-theoretic and algebraic properties required to ensure feasibility of the solutions. With this new condition, we show that a solution can be determined by an effic","authors_text":"George J. Pappas, Sergio Pequito","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-26T15:03:47Z","title":"Structural Minimum Controllability Problem for Linear Continuous-Time Switching Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07207","kind":"arxiv","version":2},"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":"sha256:5d5238ab9196cee06cf1e9bb794052c40c30ebaa0b6e60af1cc5d6d2331bb7b3","target":"record","created_at":"2026-05-18T01:12:38Z","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":"ff8553c35777e0565219d16365575bf42a568b8f464c7a22c36aa92347807456","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-26T15:03:47Z","title_canon_sha256":"cd7dbda2de457a558b1787f17145bfc667a1404a9e5f7cff3b4926a1482110cd"},"schema_version":"1.0","source":{"id":"1507.07207","kind":"arxiv","version":2}},"canonical_sha256":"12fb30bcebc8cb2fed63222ed9b48feaad968094b52fbb9c3a29fd6fdcc9fdbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12fb30bcebc8cb2fed63222ed9b48feaad968094b52fbb9c3a29fd6fdcc9fdbb","first_computed_at":"2026-05-18T01:12:38.039580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:38.039580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H9fShZ+ThK6fC5IYkeuzN5UdFkAHO6VoRpOzPF+lX4jij4M4veG1hCPWYFQcubbHt59kJyfhgWD074vpY+exCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:38.039963Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.07207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d5238ab9196cee06cf1e9bb794052c40c30ebaa0b6e60af1cc5d6d2331bb7b3","sha256:db6e011e265f5777fba2ea04da0bc39eed948326f790c59085e1a3570b4600f5"],"state_sha256":"749742b74827b03dd957a19843d2513c94661ad8c555321247e1a54e9f2168bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nR1Y3K5wB78slisAuK3ZufBxadTAxitiKdUpEMCyRLuhlL749lw9Gg1zP052OJIFOnJtFokUZVQUNI3Gh1YDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:16:26.611943Z","bundle_sha256":"1426d3a3fd9fa308ceb5d309e85562a8fb698c9a375c1566bfd4b592a7e1ca14"}}