{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5KIFZAMAPC7SZZLRGDBBHRCU4U","short_pith_number":"pith:5KIFZAMA","canonical_record":{"source":{"id":"1812.01407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-12-04T13:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"2c7804a47844d7f6e91aa83b41a3c40b4c9f7e2409f0dd1a99aed013d2d932dd","abstract_canon_sha256":"83eb2040db3ef82ddf18d729bd9d0f47b1e8a9e49b7f12fc4619b43392a5d17d"},"schema_version":"1.0"},"canonical_sha256":"ea905c818078bf2ce57130c213c454e5357f1ab171607ac73046245ce49c2506","source":{"kind":"arxiv","id":"1812.01407","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01407","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01407v1","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01407","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"5KIFZAMAPC7S","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5KIFZAMAPC7SZZLR","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5KIFZAMA","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5KIFZAMAPC7SZZLRGDBBHRCU4U","target":"record","payload":{"canonical_record":{"source":{"id":"1812.01407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-12-04T13:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"2c7804a47844d7f6e91aa83b41a3c40b4c9f7e2409f0dd1a99aed013d2d932dd","abstract_canon_sha256":"83eb2040db3ef82ddf18d729bd9d0f47b1e8a9e49b7f12fc4619b43392a5d17d"},"schema_version":"1.0"},"canonical_sha256":"ea905c818078bf2ce57130c213c454e5357f1ab171607ac73046245ce49c2506","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:12.567789Z","signature_b64":"sx/la4Na/YJdLmt3d0axqMHBaX0vBO5TivrH8kfatk+7Fev9NrxH8FleT0aSMwEq/NqBfm69cB1D+joEt0QiBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea905c818078bf2ce57130c213c454e5357f1ab171607ac73046245ce49c2506","last_reissued_at":"2026-05-17T23:59:12.567102Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:12.567102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.01407","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/CstBkshzcSiI0XH7Vjv9/DHxd6ZtgP6OUmYQLWwlgyybJEbAdtYODdkg8CfFmZgpygaX48lOc1E8ZQVHqCJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:01:37.381505Z"},"content_sha256":"cc75adcbdd8237b9cbb5e363ce494711d6471598458d93bc0f26638b6b3c3c33","schema_version":"1.0","event_id":"sha256:cc75adcbdd8237b9cbb5e363ce494711d6471598458d93bc0f26638b6b3c3c33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5KIFZAMAPC7SZZLRGDBBHRCU4U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete-Time Distributed Observers over Jointly Connected Switching Networks and an Application","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Jie Huang, Tao Liu","submitted_at":"2018-12-04T13:43:24Z","abstract_excerpt":"In this paper, we first establish an exponential stability result for a class of linear switched systems and then apply this result to show the existence of the distributed observer for a discrete-time leader system over jointly connected switching networks. A special case of this result leads to the solution of a leader-following consensus problem of multiple discrete-time double-integrator systems over jointly connected switching networks. Then, we further develop the adaptive distributed observer for the discrete-time leader system over jointly connected switching networks, which has the ad"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01407","kind":"arxiv","version":1},"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":"2026-05-17T23:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HZC7PUTPR8DkQkHY9TZxptHvqSrdZggOHalANqyLamarpT4HAiZ+9EJzC8EoWS3QVDDAlZKShNBVVk7QQImrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:01:37.382152Z"},"content_sha256":"5379e67bcd24ede4641487f57decf9cdb960e808d35c1be8ace4cfb92f5e29ab","schema_version":"1.0","event_id":"sha256:5379e67bcd24ede4641487f57decf9cdb960e808d35c1be8ace4cfb92f5e29ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5KIFZAMAPC7SZZLRGDBBHRCU4U/bundle.json","state_url":"https://pith.science/pith/5KIFZAMAPC7SZZLRGDBBHRCU4U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5KIFZAMAPC7SZZLRGDBBHRCU4U/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":"2026-06-07T14:01:37Z","links":{"resolver":"https://pith.science/pith/5KIFZAMAPC7SZZLRGDBBHRCU4U","bundle":"https://pith.science/pith/5KIFZAMAPC7SZZLRGDBBHRCU4U/bundle.json","state":"https://pith.science/pith/5KIFZAMAPC7SZZLRGDBBHRCU4U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5KIFZAMAPC7SZZLRGDBBHRCU4U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5KIFZAMAPC7SZZLRGDBBHRCU4U","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":"83eb2040db3ef82ddf18d729bd9d0f47b1e8a9e49b7f12fc4619b43392a5d17d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-12-04T13:43:24Z","title_canon_sha256":"2c7804a47844d7f6e91aa83b41a3c40b4c9f7e2409f0dd1a99aed013d2d932dd"},"schema_version":"1.0","source":{"id":"1812.01407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01407","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01407v1","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01407","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"5KIFZAMAPC7S","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5KIFZAMAPC7SZZLR","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5KIFZAMA","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:5379e67bcd24ede4641487f57decf9cdb960e808d35c1be8ace4cfb92f5e29ab","target":"graph","created_at":"2026-05-17T23:59:12Z","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":"In this paper, we first establish an exponential stability result for a class of linear switched systems and then apply this result to show the existence of the distributed observer for a discrete-time leader system over jointly connected switching networks. A special case of this result leads to the solution of a leader-following consensus problem of multiple discrete-time double-integrator systems over jointly connected switching networks. Then, we further develop the adaptive distributed observer for the discrete-time leader system over jointly connected switching networks, which has the ad","authors_text":"Jie Huang, Tao Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-12-04T13:43:24Z","title":"Discrete-Time Distributed Observers over Jointly Connected Switching Networks and an Application"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01407","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:cc75adcbdd8237b9cbb5e363ce494711d6471598458d93bc0f26638b6b3c3c33","target":"record","created_at":"2026-05-17T23:59:12Z","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":"83eb2040db3ef82ddf18d729bd9d0f47b1e8a9e49b7f12fc4619b43392a5d17d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-12-04T13:43:24Z","title_canon_sha256":"2c7804a47844d7f6e91aa83b41a3c40b4c9f7e2409f0dd1a99aed013d2d932dd"},"schema_version":"1.0","source":{"id":"1812.01407","kind":"arxiv","version":1}},"canonical_sha256":"ea905c818078bf2ce57130c213c454e5357f1ab171607ac73046245ce49c2506","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea905c818078bf2ce57130c213c454e5357f1ab171607ac73046245ce49c2506","first_computed_at":"2026-05-17T23:59:12.567102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:12.567102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sx/la4Na/YJdLmt3d0axqMHBaX0vBO5TivrH8kfatk+7Fev9NrxH8FleT0aSMwEq/NqBfm69cB1D+joEt0QiBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:12.567789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc75adcbdd8237b9cbb5e363ce494711d6471598458d93bc0f26638b6b3c3c33","sha256:5379e67bcd24ede4641487f57decf9cdb960e808d35c1be8ace4cfb92f5e29ab"],"state_sha256":"d4ee171b64486327b237d3b8a1d857c463956fe2de0a2fc9f0dbe0720f4a516e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jtcHPf5e2AkWiXv6FFpOn9TSqiM2BWJQzUauw/3jq1R0UUGLIzMqLXCihy7AR8QsrWCE/PQvd6Hs9UNYFCMYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:01:37.385595Z","bundle_sha256":"200ce8942760a5dffc52f780a8cf9132f491ba7a6921e0a04354627b9747e994"}}