{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:BEDNNWQXW23EKB5DF5QN3J6GHK","short_pith_number":"pith:BEDNNWQX","canonical_record":{"source":{"id":"1904.02737","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-04-04T18:24:11Z","cross_cats_sorted":[],"title_canon_sha256":"972647f09575c0ff9a6ff8a1821bde8a409cfc522b498da67db7e7747ebe2850","abstract_canon_sha256":"25766e54cf0431230feeec4539a80874d0fd955ef78de709f5ffdeabce743782"},"schema_version":"1.0"},"canonical_sha256":"0906d6da17b6b64507a32f60dda7c63a82ce36a0978d02b865ff112a7e7fc6b8","source":{"kind":"arxiv","id":"1904.02737","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.02737","created_at":"2026-05-17T23:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1904.02737v1","created_at":"2026-05-17T23:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02737","created_at":"2026-05-17T23:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"BEDNNWQXW23E","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BEDNNWQXW23EKB5D","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BEDNNWQX","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:BEDNNWQXW23EKB5DF5QN3J6GHK","target":"record","payload":{"canonical_record":{"source":{"id":"1904.02737","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-04-04T18:24:11Z","cross_cats_sorted":[],"title_canon_sha256":"972647f09575c0ff9a6ff8a1821bde8a409cfc522b498da67db7e7747ebe2850","abstract_canon_sha256":"25766e54cf0431230feeec4539a80874d0fd955ef78de709f5ffdeabce743782"},"schema_version":"1.0"},"canonical_sha256":"0906d6da17b6b64507a32f60dda7c63a82ce36a0978d02b865ff112a7e7fc6b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:19.838696Z","signature_b64":"yXfXcleQvQz2a8VcWw+8qUrLkSKDXOlHR23qbPMA5cIS7Z4CLO2mPh/4ORqO7Vpoto+rpTvx3PXvjdAo1yNiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0906d6da17b6b64507a32f60dda7c63a82ce36a0978d02b865ff112a7e7fc6b8","last_reissued_at":"2026-05-17T23:49:19.838056Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:19.838056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.02737","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":"2026-05-17T23:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NNN9tZrXnjpNRw9KfbQVcEOadT3O/IarS3p0YsiLpW4ybOIh6MNRUWu0ljuO2hCpiYvmSJKsO1emnoIjonu+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T21:36:35.420458Z"},"content_sha256":"77d61f67860e467d7357e60d7469a123097feb680a98a3414c7c9311984e9fc5","schema_version":"1.0","event_id":"sha256:77d61f67860e467d7357e60d7469a123097feb680a98a3414c7c9311984e9fc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:BEDNNWQXW23EKB5DF5QN3J6GHK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Topological and Metrical Properties of Stabilizing Feedback Gains: the MIMO Case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Afshin Mesbahi, Jingjing Bu, Mehran Mesbahi","submitted_at":"2019-04-04T18:24:11Z","abstract_excerpt":"In this paper, we discuss various topological and metrical aspects of the set of stabilizing static feedback gains for multiple-input-multiple-output (MIMO) linear-time-invariant (LTI) systems, in both continuous and discrete-time. Recently, connectivity properties of this set (for continuous time) have been reported in the literature, along with a discussion on how this connectivity is affected by restricting the feedback gain to linear subspaces. We show that analogous to the continuous-time case, one can construct instances where the set of stabilizing feedback gains for discrete time LTI s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02737","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":"2026-05-17T23:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tC6/8/WdVodAdzUynEcbHSqILGoetT5TJrfKQl/UjOmMxSktReufoUOXK+ohTqGsYnpMRPBqO0j2y4khR7cNBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T21:36:35.420817Z"},"content_sha256":"4d72808e7105e460c7ba95fe8a4ce9c8d13f51f5147f36ca08ea2b3456bd9640","schema_version":"1.0","event_id":"sha256:4d72808e7105e460c7ba95fe8a4ce9c8d13f51f5147f36ca08ea2b3456bd9640"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BEDNNWQXW23EKB5DF5QN3J6GHK/bundle.json","state_url":"https://pith.science/pith/BEDNNWQXW23EKB5DF5QN3J6GHK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BEDNNWQXW23EKB5DF5QN3J6GHK/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":"2026-05-21T21:36:35Z","links":{"resolver":"https://pith.science/pith/BEDNNWQXW23EKB5DF5QN3J6GHK","bundle":"https://pith.science/pith/BEDNNWQXW23EKB5DF5QN3J6GHK/bundle.json","state":"https://pith.science/pith/BEDNNWQXW23EKB5DF5QN3J6GHK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BEDNNWQXW23EKB5DF5QN3J6GHK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BEDNNWQXW23EKB5DF5QN3J6GHK","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":"25766e54cf0431230feeec4539a80874d0fd955ef78de709f5ffdeabce743782","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-04-04T18:24:11Z","title_canon_sha256":"972647f09575c0ff9a6ff8a1821bde8a409cfc522b498da67db7e7747ebe2850"},"schema_version":"1.0","source":{"id":"1904.02737","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.02737","created_at":"2026-05-17T23:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1904.02737v1","created_at":"2026-05-17T23:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02737","created_at":"2026-05-17T23:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"BEDNNWQXW23E","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BEDNNWQXW23EKB5D","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BEDNNWQX","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:4d72808e7105e460c7ba95fe8a4ce9c8d13f51f5147f36ca08ea2b3456bd9640","target":"graph","created_at":"2026-05-17T23:49:19Z","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 discuss various topological and metrical aspects of the set of stabilizing static feedback gains for multiple-input-multiple-output (MIMO) linear-time-invariant (LTI) systems, in both continuous and discrete-time. Recently, connectivity properties of this set (for continuous time) have been reported in the literature, along with a discussion on how this connectivity is affected by restricting the feedback gain to linear subspaces. We show that analogous to the continuous-time case, one can construct instances where the set of stabilizing feedback gains for discrete time LTI s","authors_text":"Afshin Mesbahi, Jingjing Bu, Mehran Mesbahi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-04-04T18:24:11Z","title":"On Topological and Metrical Properties of Stabilizing Feedback Gains: the MIMO Case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02737","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":"sha256:77d61f67860e467d7357e60d7469a123097feb680a98a3414c7c9311984e9fc5","target":"record","created_at":"2026-05-17T23:49:19Z","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":"25766e54cf0431230feeec4539a80874d0fd955ef78de709f5ffdeabce743782","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-04-04T18:24:11Z","title_canon_sha256":"972647f09575c0ff9a6ff8a1821bde8a409cfc522b498da67db7e7747ebe2850"},"schema_version":"1.0","source":{"id":"1904.02737","kind":"arxiv","version":1}},"canonical_sha256":"0906d6da17b6b64507a32f60dda7c63a82ce36a0978d02b865ff112a7e7fc6b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0906d6da17b6b64507a32f60dda7c63a82ce36a0978d02b865ff112a7e7fc6b8","first_computed_at":"2026-05-17T23:49:19.838056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:19.838056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yXfXcleQvQz2a8VcWw+8qUrLkSKDXOlHR23qbPMA5cIS7Z4CLO2mPh/4ORqO7Vpoto+rpTvx3PXvjdAo1yNiAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:19.838696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.02737","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77d61f67860e467d7357e60d7469a123097feb680a98a3414c7c9311984e9fc5","sha256:4d72808e7105e460c7ba95fe8a4ce9c8d13f51f5147f36ca08ea2b3456bd9640"],"state_sha256":"7936d432adaad5c274ece5d43d0cda4802ab6f2e822463759e1b5f1d1029a8b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PpScqX55eH0rSFY/O76uITjFMrQvQCT9MpfCqfBvksKONwQkbc1cydDBiMWNwQ1iOgvpfNayyo9RXEi6cFbvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T21:36:35.422827Z","bundle_sha256":"ff7b480464ffc0469eb25895254c0aedeb91021787eaaf6f09b05d3dadf6527b"}}