{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:I7VKPLON6KH4AWKPDX2NXD3NYQ","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":"3f1475a707ffe05856eb78530d43946d9afc48660aa55cd0ce4ca5a6d67a2877","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-12-31T13:34:23Z","title_canon_sha256":"c7274dd8a893f3cc654039d2397628343e9cf871f6dbf67c02081bd094c4b767"},"schema_version":"1.0","source":{"id":"1201.0259","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0259","created_at":"2026-05-18T04:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0259v1","created_at":"2026-05-18T04:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0259","created_at":"2026-05-18T04:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"I7VKPLON6KH4","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I7VKPLON6KH4AWKP","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I7VKPLON","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:5f9066079a9ad460d5a5155063567404a5b14bd5ca3f16c24a96c53fed4b5eea","target":"graph","created_at":"2026-05-18T04:05:25Z","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":"This paper investigates the multitime linear normal PDE systems. We study especially the controllability of such systems, obtaining complementary results to those in our recent papers. Here the multitime controllability original results are formulated using the $\\gamma$ - gramian matrix, the Im - gramian space and a controllability functional. There are given also some original examples which illustrate and round the theoretical results.","authors_text":"Constantin Udriste, Cristian Ghiu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-12-31T13:34:23Z","title":"A decision functional for multitime controllability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0259","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:c3e003af70953c61e3d3791c06d587b8e5aeb598ea5b5aba45acf184d6463fc8","target":"record","created_at":"2026-05-18T04:05:25Z","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":"3f1475a707ffe05856eb78530d43946d9afc48660aa55cd0ce4ca5a6d67a2877","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-12-31T13:34:23Z","title_canon_sha256":"c7274dd8a893f3cc654039d2397628343e9cf871f6dbf67c02081bd094c4b767"},"schema_version":"1.0","source":{"id":"1201.0259","kind":"arxiv","version":1}},"canonical_sha256":"47eaa7adcdf28fc0594f1df4db8f6dc4154c31d0f7f2a3af4f00df0e9e4c02de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47eaa7adcdf28fc0594f1df4db8f6dc4154c31d0f7f2a3af4f00df0e9e4c02de","first_computed_at":"2026-05-18T04:05:25.632798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:25.632798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bdbR58Qr9Za1RQ6T3ggBePF3fh312wFNYsxbBz5CZlWIgjNzjsdeNaaiVwg+IA6QsquD5VF3wYfhNWTpIxqwDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:25.633325Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0259","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3e003af70953c61e3d3791c06d587b8e5aeb598ea5b5aba45acf184d6463fc8","sha256:5f9066079a9ad460d5a5155063567404a5b14bd5ca3f16c24a96c53fed4b5eea"],"state_sha256":"e4c4e2f153bb210ca7c798585ceb9b1aa9b1a09676d04aaf13c0c6a807c793ed"}