{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KGBS3ATFHU7V2UMB6AJVQ556WX","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":"64830373a293a8a848148582b8354575a44b9c3babeaea3413e0d23938fddebe","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-09-19T22:38:19Z","title_canon_sha256":"1f2fea60b9676d706e65fa93377e6d08f4c4763b1b53c1b3065647c6c1f79320"},"schema_version":"1.0","source":{"id":"1609.05962","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05962","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05962v1","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05962","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"KGBS3ATFHU7V","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KGBS3ATFHU7V2UMB","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KGBS3ATF","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:076d1d9c201ed154f537bdaf8a7666cbf16767bb835b3815bd340c82727713b6","target":"graph","created_at":"2026-05-17T23:51:06Z","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":"Identifying important nodes in complex networks is a fundamental problem in network analysis. Although a plethora of measures has been proposed to identify important nodes in static (i.e., time-invariant) networks, there is a lack of tools in the context of temporal networks (i.e., networks whose connectivity dynamically changes over time). The aim of this paper is to propose a system-theoretic approach for identifying important nodes in temporal networks. In this direction, we first propose a generalization of the popular Katz centrality measure to the family of Markovian temporal networks us","authors_text":"Masaki Ogura, Victor M. Preciado","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-09-19T22:38:19Z","title":"Katz Centrality of Markovian Temporal Networks: Analysis and Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05962","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":"sha256:97cccd3543ff3b24b487ac5d1a86797b9dad585de4b35d3116a48c12cf10e679","target":"record","created_at":"2026-05-17T23:51:06Z","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":"64830373a293a8a848148582b8354575a44b9c3babeaea3413e0d23938fddebe","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-09-19T22:38:19Z","title_canon_sha256":"1f2fea60b9676d706e65fa93377e6d08f4c4763b1b53c1b3065647c6c1f79320"},"schema_version":"1.0","source":{"id":"1609.05962","kind":"arxiv","version":1}},"canonical_sha256":"51832d82653d3f5d5181f0135877beb5e829f2baef3da17a28d1e8969e4e592a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51832d82653d3f5d5181f0135877beb5e829f2baef3da17a28d1e8969e4e592a","first_computed_at":"2026-05-17T23:51:06.398395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:06.398395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qBdVQlXiP3dYKvW2ZWfMbNkJSqgQpsJItJuQ1S7XvY0LtPB+aCtyWLRcTG0MmoaLueSIslVS7e4D8rKdea+QBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:06.398860Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05962","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97cccd3543ff3b24b487ac5d1a86797b9dad585de4b35d3116a48c12cf10e679","sha256:076d1d9c201ed154f537bdaf8a7666cbf16767bb835b3815bd340c82727713b6"],"state_sha256":"9ef9301406c4e323591d93a61cfaf2a87890c54c67f3c6d14ea541d87b90fb4f"}