{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZSABVL7WTAZETUB22AEJIZMPFK","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":"60bdc2f9d1846273fac6cad5dde0566e938988214e5ed180a8084f489792d5e1","cross_cats_sorted":["cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-05-31T07:23:50Z","title_canon_sha256":"805c198a456446280c1cafa5c3e6d95dd362ca1e96b904be2fec5fdfdf407ee8"},"schema_version":"1.0","source":{"id":"1605.09509","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.09509","created_at":"2026-05-18T01:13:10Z"},{"alias_kind":"arxiv_version","alias_value":"1605.09509v1","created_at":"2026-05-18T01:13:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09509","created_at":"2026-05-18T01:13:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZSABVL7WTAZE","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZSABVL7WTAZETUB2","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZSABVL7W","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:a41d12fef3847a44eb3dc7498ceb9fcb091f05de2551b2d32254e3593f613850","target":"graph","created_at":"2026-05-18T01:13:10Z","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 investigates the fixed-time consensus problem under directed topologies. By using a motion-planning approach, a class of distributed fixed-time algorithms are developed for a multi-agent system with double-integrator dynamics. In the context of the fixed-time consensus, we focus on both directed fixed and switching topologies. Under the directed fixed topology, a novel class of distributed algorithms are designed, which guarantee the consensus of the multi-agent system with a fixed settling time if the topology has a directed spanning tree. Under the directed periodically switching ","authors_text":"Guanrong Chen, Wei Ren, Yongfang Liu, Yu Zhao","cross_cats":["cs.MA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-05-31T07:23:50Z","title":"Fixed-time consensus of multiple double-integrator systems under directed topologies: A motion-planning approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09509","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":"sha256:1ca782427a321bd89611621a0fcb65772f6adb0e42b53a87c7451c29636b3284","target":"record","created_at":"2026-05-18T01:13:10Z","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":"60bdc2f9d1846273fac6cad5dde0566e938988214e5ed180a8084f489792d5e1","cross_cats_sorted":["cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-05-31T07:23:50Z","title_canon_sha256":"805c198a456446280c1cafa5c3e6d95dd362ca1e96b904be2fec5fdfdf407ee8"},"schema_version":"1.0","source":{"id":"1605.09509","kind":"arxiv","version":1}},"canonical_sha256":"cc801aaff6983249d03ad00894658f2a88af56232fed2f6e60f31dcee10a2a9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc801aaff6983249d03ad00894658f2a88af56232fed2f6e60f31dcee10a2a9e","first_computed_at":"2026-05-18T01:13:10.742380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:10.742380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BZYwYDIp3jOgg9OwTJxa4Ci/N0/MEWhiUGmxa/01c2wTS/W01PssQbldS8wXWta1+MPEkvJcmXe/VnJU7JVjBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:10.742732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.09509","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ca782427a321bd89611621a0fcb65772f6adb0e42b53a87c7451c29636b3284","sha256:a41d12fef3847a44eb3dc7498ceb9fcb091f05de2551b2d32254e3593f613850"],"state_sha256":"d4c2cd7b83c16bd9e0b6d558f426d3abaa1d8fdff84c7867292a838ee4bab9bc"}