{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:AICLUBCGCRUH35TI34Z4577VB7","short_pith_number":"pith:AICLUBCG","canonical_record":{"source":{"id":"1501.03474","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-01-14T20:22:12Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"b8d4d4bd3ff464962972d215a6f39716d09f97653cbc21db38b89b69908a7208","abstract_canon_sha256":"c62dde6e1cb0536e93017b5341db857160b7437c935e3f7f600483e4109ee4bf"},"schema_version":"1.0"},"canonical_sha256":"0204ba044614687df668df33cefff50fc0fa0f6b998c60332b40a5e88d243840","source":{"kind":"arxiv","id":"1501.03474","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03474","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03474v2","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03474","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"pith_short_12","alias_value":"AICLUBCGCRUH","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AICLUBCGCRUH35TI","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AICLUBCG","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:AICLUBCGCRUH35TI34Z4577VB7","target":"record","payload":{"canonical_record":{"source":{"id":"1501.03474","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-01-14T20:22:12Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"b8d4d4bd3ff464962972d215a6f39716d09f97653cbc21db38b89b69908a7208","abstract_canon_sha256":"c62dde6e1cb0536e93017b5341db857160b7437c935e3f7f600483e4109ee4bf"},"schema_version":"1.0"},"canonical_sha256":"0204ba044614687df668df33cefff50fc0fa0f6b998c60332b40a5e88d243840","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:20.017466Z","signature_b64":"cjSrxjrC5JAvacSXoCSrsD+y6o/09hI2XkB09AlR6aEBGRGMG3BQoq0xKJeMg2UA76eY9FEHMRYMMAh1yyPXDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0204ba044614687df668df33cefff50fc0fa0f6b998c60332b40a5e88d243840","last_reissued_at":"2026-05-18T01:00:20.016832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:20.016832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.03474","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":"2026-05-18T01:00:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1PeC5zzmXrlvNIIwV9Qod62BfL0NF6Tr9HzdR7zkHyBsABWt7sFDDh/n+i/XWTvH4bfQXvCZC0vh3wMvFfoAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T04:51:42.101344Z"},"content_sha256":"e4d1ddded2177c27c9a1fe51b6826f766641dcc612945123f6c74dc98964834d","schema_version":"1.0","event_id":"sha256:e4d1ddded2177c27c9a1fe51b6826f766641dcc612945123f6c74dc98964834d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:AICLUBCGCRUH35TI34Z4577VB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Markov regenerative switched linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Masaki Ogura, Victor M. Preciado","submitted_at":"2015-01-14T20:22:12Z","abstract_excerpt":"In this paper, we give a necessary and sufficient condition for mean stability of switched linear systems having a Markov regenerative process as its switching signal. This class of switched linear systems, which we call Markov regenerative switched linear systems, contains Markov jump linear systems and semi-Markov jump linear systems as special cases. We show that a Markov regenerative switched linear system is $m$th mean stable if and only if a particular matrix is Schur stable, under the assumption that either $m$ is even or the system is positive."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03474","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":"2026-05-18T01:00:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XcvCYcph1LceP/bfqT+pGiXXUdrWz/RtImvy/qkAMh7n6wVU+5SYwfSdDXOm6x3XbrnOciOu1B28Xf8zs+YkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T04:51:42.101681Z"},"content_sha256":"b3e06b1688b31e35f422a2a2d78b9e4fb662060ea5c4b2d043e0323c23c44914","schema_version":"1.0","event_id":"sha256:b3e06b1688b31e35f422a2a2d78b9e4fb662060ea5c4b2d043e0323c23c44914"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AICLUBCGCRUH35TI34Z4577VB7/bundle.json","state_url":"https://pith.science/pith/AICLUBCGCRUH35TI34Z4577VB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AICLUBCGCRUH35TI34Z4577VB7/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":"2026-06-27T04:51:42Z","links":{"resolver":"https://pith.science/pith/AICLUBCGCRUH35TI34Z4577VB7","bundle":"https://pith.science/pith/AICLUBCGCRUH35TI34Z4577VB7/bundle.json","state":"https://pith.science/pith/AICLUBCGCRUH35TI34Z4577VB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AICLUBCGCRUH35TI34Z4577VB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AICLUBCGCRUH35TI34Z4577VB7","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":"c62dde6e1cb0536e93017b5341db857160b7437c935e3f7f600483e4109ee4bf","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-01-14T20:22:12Z","title_canon_sha256":"b8d4d4bd3ff464962972d215a6f39716d09f97653cbc21db38b89b69908a7208"},"schema_version":"1.0","source":{"id":"1501.03474","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03474","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03474v2","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03474","created_at":"2026-05-18T01:00:20Z"},{"alias_kind":"pith_short_12","alias_value":"AICLUBCGCRUH","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AICLUBCGCRUH35TI","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AICLUBCG","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:b3e06b1688b31e35f422a2a2d78b9e4fb662060ea5c4b2d043e0323c23c44914","target":"graph","created_at":"2026-05-18T01:00:20Z","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 give a necessary and sufficient condition for mean stability of switched linear systems having a Markov regenerative process as its switching signal. This class of switched linear systems, which we call Markov regenerative switched linear systems, contains Markov jump linear systems and semi-Markov jump linear systems as special cases. We show that a Markov regenerative switched linear system is $m$th mean stable if and only if a particular matrix is Schur stable, under the assumption that either $m$ is even or the system is positive.","authors_text":"Masaki Ogura, Victor M. Preciado","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-01-14T20:22:12Z","title":"Stability of Markov regenerative switched linear systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03474","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:e4d1ddded2177c27c9a1fe51b6826f766641dcc612945123f6c74dc98964834d","target":"record","created_at":"2026-05-18T01:00:20Z","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":"c62dde6e1cb0536e93017b5341db857160b7437c935e3f7f600483e4109ee4bf","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-01-14T20:22:12Z","title_canon_sha256":"b8d4d4bd3ff464962972d215a6f39716d09f97653cbc21db38b89b69908a7208"},"schema_version":"1.0","source":{"id":"1501.03474","kind":"arxiv","version":2}},"canonical_sha256":"0204ba044614687df668df33cefff50fc0fa0f6b998c60332b40a5e88d243840","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0204ba044614687df668df33cefff50fc0fa0f6b998c60332b40a5e88d243840","first_computed_at":"2026-05-18T01:00:20.016832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:20.016832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cjSrxjrC5JAvacSXoCSrsD+y6o/09hI2XkB09AlR6aEBGRGMG3BQoq0xKJeMg2UA76eY9FEHMRYMMAh1yyPXDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:20.017466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.03474","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4d1ddded2177c27c9a1fe51b6826f766641dcc612945123f6c74dc98964834d","sha256:b3e06b1688b31e35f422a2a2d78b9e4fb662060ea5c4b2d043e0323c23c44914"],"state_sha256":"8db746a7d57ad8bb47f56c9b02445422e7422630d59356a1779b0fd4c06f8496"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pa6l9Le+j/VwTvI9SOB264bO+/fFbDtFeH1BDUiL/Y/x4/k0UIu4WZnDq8hnowAn9ximcvDTgk9vGseis3cXCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T04:51:42.103431Z","bundle_sha256":"559573236e1ac7b434ecfed0ea29ac46efcb6dce15b056aaaf93cabf87a2653d"}}