{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RCMDUCJMAXSZOVMFCYASFNJ4OZ","short_pith_number":"pith:RCMDUCJM","schema_version":"1.0","canonical_sha256":"88983a092c05e5975585160122b53c7650920b168e598c670a66e1ae1b284d69","source":{"kind":"arxiv","id":"1402.4368","version":1},"attestation_state":"computed","paper":{"title":"Algebraic characterization of approximate controllability of behaviours of spatially invariant systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"Amol Sasane","submitted_at":"2014-02-18T15:10:03Z","abstract_excerpt":"An algebraic characterization of the property of approximate controllability is given, for behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system of homogeneous, linear, constant coefficient partial differential equations corresponding to a polynomial matrix."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1402.4368","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-18T15:10:03Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c0959516657ac3149f8942dcd21782687648f5780dfad6134782102b10407477","abstract_canon_sha256":"e4af15e8c52b7abe86ba91647cd2db2f1752a88b9f99a130e2c5d99a2d9086e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:44.078877Z","signature_b64":"xfxZXA5FVirN5yW5jwm9RODgoeE2TmRDPMJc8XKIV5S6fdzcvreZF9UI6KNkuH0PWUfg0npcA3yTFv8y9Ht9Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88983a092c05e5975585160122b53c7650920b168e598c670a66e1ae1b284d69","last_reissued_at":"2026-05-18T02:58:44.078194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:44.078194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraic characterization of approximate controllability of behaviours of spatially invariant systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"Amol Sasane","submitted_at":"2014-02-18T15:10:03Z","abstract_excerpt":"An algebraic characterization of the property of approximate controllability is given, for behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system of homogeneous, linear, constant coefficient partial differential equations corresponding to a polynomial matrix."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4368","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1402.4368","created_at":"2026-05-18T02:58:44.078291+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.4368v1","created_at":"2026-05-18T02:58:44.078291+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4368","created_at":"2026-05-18T02:58:44.078291+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCMDUCJMAXSZ","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCMDUCJMAXSZOVMF","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCMDUCJM","created_at":"2026-05-18T12:28:46.137349+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ","json":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ.json","graph_json":"https://pith.science/api/pith-number/RCMDUCJMAXSZOVMFCYASFNJ4OZ/graph.json","events_json":"https://pith.science/api/pith-number/RCMDUCJMAXSZOVMFCYASFNJ4OZ/events.json","paper":"https://pith.science/paper/RCMDUCJM"},"agent_actions":{"view_html":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ","download_json":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ.json","view_paper":"https://pith.science/paper/RCMDUCJM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.4368&json=true","fetch_graph":"https://pith.science/api/pith-number/RCMDUCJMAXSZOVMFCYASFNJ4OZ/graph.json","fetch_events":"https://pith.science/api/pith-number/RCMDUCJMAXSZOVMFCYASFNJ4OZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ/action/storage_attestation","attest_author":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ/action/author_attestation","sign_citation":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ/action/citation_signature","submit_replication":"https://pith.science/pith/RCMDUCJMAXSZOVMFCYASFNJ4OZ/action/replication_record"}},"created_at":"2026-05-18T02:58:44.078291+00:00","updated_at":"2026-05-18T02:58:44.078291+00:00"}