{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7RV2ET6EHFFKF6JCJHZL63LMIU","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":"cd0428311016db83d631155d29ef680051efc24800c6b2f47ceb8c6aaadf13cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-10-25T15:10:36Z","title_canon_sha256":"f47b29e1916e7793cf501af74ab99d827a0d1d9e9986a62fb58dbf252f364450"},"schema_version":"1.0","source":{"id":"1010.5160","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5160","created_at":"2026-05-18T04:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5160v1","created_at":"2026-05-18T04:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5160","created_at":"2026-05-18T04:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"7RV2ET6EHFFK","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7RV2ET6EHFFKF6JC","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7RV2ET6E","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:37160551c78e3b02e3f50c43c8d111fca7921aeac40ca4f0bd9d52951f72a727","target":"graph","created_at":"2026-05-18T04:38:49Z","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":"The paper presents partial-realization theory and realization algorithms for linear switched systems. Linear switched systems are a particular subclass of hybrid systems. We formulate a notion of a partial realization and we present conditions for existence of a minimal partial realization. We propose two partial-realization algorithms and we show that under certain conditions they yield a complete realization. Our main tool is the theory of rational formal power series.","authors_text":"Jan H. van Schuppen, Mihaly Petreczky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-10-25T15:10:36Z","title":"Partial-realization theory and algorithms for linear switched systems: A formal power series approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5160","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":"sha256:99e19d91c65b72f8b3c108672867943d77f78ebc0a70c09d2a233f0243bf151e","target":"record","created_at":"2026-05-18T04:38:49Z","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":"cd0428311016db83d631155d29ef680051efc24800c6b2f47ceb8c6aaadf13cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-10-25T15:10:36Z","title_canon_sha256":"f47b29e1916e7793cf501af74ab99d827a0d1d9e9986a62fb58dbf252f364450"},"schema_version":"1.0","source":{"id":"1010.5160","kind":"arxiv","version":1}},"canonical_sha256":"fc6ba24fc4394aa2f92249f2bf6d6c4521633cfe609884fe616bff168dd3c385","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc6ba24fc4394aa2f92249f2bf6d6c4521633cfe609884fe616bff168dd3c385","first_computed_at":"2026-05-18T04:38:49.262011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:49.262011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W4PUaEEF7s0Cg+wg6FfjBhNuS0H1gckFyfj+u5zcqXzl1eVR2z3Hv4nl/umo8dGXn1COhJxU1S+OycKCz6R6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:49.262571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5160","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99e19d91c65b72f8b3c108672867943d77f78ebc0a70c09d2a233f0243bf151e","sha256:37160551c78e3b02e3f50c43c8d111fca7921aeac40ca4f0bd9d52951f72a727"],"state_sha256":"8da997d186a7564d5d101a083d39bed0114cca8e4aacc9d1662a16ab972b5924"}