{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZLDNWS26PM2MLCN3IXKIX7X5FR","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":"c35dae3f938c0289b52fc03b5f1112605428cae4c264f7de8d47d0c3c39e5a1a","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2010-06-17T12:57:34Z","title_canon_sha256":"b1b340e106f21230ae8b50cdd87c1c5a56d301c740b1e5a2d07c01568786b819"},"schema_version":"1.0","source":{"id":"1006.3455","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3455","created_at":"2026-05-18T01:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3455v1","created_at":"2026-05-18T01:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3455","created_at":"2026-05-18T01:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"ZLDNWS26PM2M","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZLDNWS26PM2MLCN3","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZLDNWS26","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:dc24ad8ced66cddd6553b10936f7491a2fa0723932badd756b09a05095f6e621","target":"graph","created_at":"2026-05-18T01:09:23Z","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":"An external description for aperiodically sampled MIMO linear systems has been developed. Emphasis is on the sampling period sequence, included among the variables to be handled. The computational procedure is simple and no use of polynomial matrix theory is required. This input/output description is believed to be a basic formulation for its later application to the problem of optimal control and/or identification of linear dynamical systems.","authors_text":"Amparo F\\'uster-Sabater","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2010-06-17T12:57:34Z","title":"An External Description for MIMO Systems Sampled in an Aperiodic Way"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3455","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":"sha256:9b4bd3b712346cb813a0465945b46055b6107fdc81c3e6d6d32e36857ea94d0c","target":"record","created_at":"2026-05-18T01:09:23Z","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":"c35dae3f938c0289b52fc03b5f1112605428cae4c264f7de8d47d0c3c39e5a1a","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2010-06-17T12:57:34Z","title_canon_sha256":"b1b340e106f21230ae8b50cdd87c1c5a56d301c740b1e5a2d07c01568786b819"},"schema_version":"1.0","source":{"id":"1006.3455","kind":"arxiv","version":1}},"canonical_sha256":"cac6db4b5e7b34c589bb45d48bfefd2c5224c84501daec2252b5a1e6997d866f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cac6db4b5e7b34c589bb45d48bfefd2c5224c84501daec2252b5a1e6997d866f","first_computed_at":"2026-05-18T01:09:23.874308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:23.874308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+KBF/EraA7aSOcb/j2yDAC1Ho6UUL+JmN0/DPQ2XV8EWcCvUdWn9y7Ts1nQF57EAbVlkMNkgJSv9Zc/NCXDnDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:23.874855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.3455","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b4bd3b712346cb813a0465945b46055b6107fdc81c3e6d6d32e36857ea94d0c","sha256:dc24ad8ced66cddd6553b10936f7491a2fa0723932badd756b09a05095f6e621"],"state_sha256":"680e4e30cd63b2ef8d924958ed75060b1e305475ac60114a2a6e14ca84ae3227"}