{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4OJ6KRMN7QOSQVUECFU6DITAEP","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":"b3f313df650f38a7ec4c948f6dcfb942886a58ce3a6eec34bc5240f0c5952786","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-02-09T04:50:10Z","title_canon_sha256":"015c47871ae3430be075a18260ed8cabc2eb585ec05e66efa76678ade15b74e7"},"schema_version":"1.0","source":{"id":"1602.02857","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02857","created_at":"2026-05-18T00:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02857v6","created_at":"2026-05-18T00:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02857","created_at":"2026-05-18T00:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"4OJ6KRMN7QOS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4OJ6KRMN7QOSQVUE","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4OJ6KRMN","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:356b008ee71e7c27e86226cdf6f3c3ac9d257e5ecff5827e495494dbbeb61d09","target":"graph","created_at":"2026-05-18T00:24:04Z","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 technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems. The stochastic uncertainty is assumed to enter multiplicatively in system dynamics through input and output channels of the plant. Necessary and sufficient conditions for mean square exponential stability are expressed in terms of the input-output property of deterministic or nominal system dynamics captured by the {\\it mean square} system norm and variance of channel uncertainty. The stability results can also be interpreted as a small gain theorem for continuous-t","authors_text":"Amit Diwadkar, Sai Pushpak, Umesh Vaidya","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-02-09T04:50:10Z","title":"Mean Square Stability Analysis of Stochastic Continuous-time Linear Networked Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02857","kind":"arxiv","version":6},"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:e5e50eed8197443e81b5e05e5ab7c63de0e18c8a6148d59831e31e067e71d8d3","target":"record","created_at":"2026-05-18T00:24:04Z","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":"b3f313df650f38a7ec4c948f6dcfb942886a58ce3a6eec34bc5240f0c5952786","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-02-09T04:50:10Z","title_canon_sha256":"015c47871ae3430be075a18260ed8cabc2eb585ec05e66efa76678ade15b74e7"},"schema_version":"1.0","source":{"id":"1602.02857","kind":"arxiv","version":6}},"canonical_sha256":"e393e5458dfc1d2856841169e1a26023e78bdc28afac4b15fd4b4de01da37181","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e393e5458dfc1d2856841169e1a26023e78bdc28afac4b15fd4b4de01da37181","first_computed_at":"2026-05-18T00:24:04.675490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:04.675490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K5JjzdUxdwL0ss0YeA1gLF68lGPXFG5l0sxIv/mJON2VhYF3jQw1fgJM8k5tjZUm5YxRpAhd6Zmg0f4C4AZDCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:04.675990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.02857","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5e50eed8197443e81b5e05e5ab7c63de0e18c8a6148d59831e31e067e71d8d3","sha256:356b008ee71e7c27e86226cdf6f3c3ac9d257e5ecff5827e495494dbbeb61d09"],"state_sha256":"b8a51ab2288d4242c6ef21b4c6878abf7764ae387322269db33772ec064ab800"}