{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DTKE67EL72CSX6EAOTAD3N5ZSH","short_pith_number":"pith:DTKE67EL","schema_version":"1.0","canonical_sha256":"1cd44f7c8bfe852bf88074c03db7b991dcb7a91164cc7d58b454c62f7f6d9b59","source":{"kind":"arxiv","id":"1306.3836","version":1},"attestation_state":"computed","paper":{"title":"Grushin problems and control theory: Formulation and examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Akram Ben Aissa","submitted_at":"2013-06-17T12:35:52Z","abstract_excerpt":"In this paper we give a new formulation of an abstract control problem in terms of a Grushin problem, so that we will reformulate all notions of controllability, observability and stability in a new form that gives readers an easy interpretation of these notions."},"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":"1306.3836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-06-17T12:35:52Z","cross_cats_sorted":[],"title_canon_sha256":"1aa8dab9e4425059c60734a6f66c8b5a3f510207d9462a72e7f1f481645a7646","abstract_canon_sha256":"a8b5ed00efc6ab2291bf82e28037b0d42edc5cc636b0ffbc8bea9944c3975ff5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:46.228807Z","signature_b64":"EpTVNBqBZgibbH8EacBPkvjPZRJMo7MeVeysgstYHoVz/Wb/WErEl8Wat9OM/k0PASS9nJXRchEVTDGVtf0mAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1cd44f7c8bfe852bf88074c03db7b991dcb7a91164cc7d58b454c62f7f6d9b59","last_reissued_at":"2026-05-18T03:20:46.228033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:46.228033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Grushin problems and control theory: Formulation and examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Akram Ben Aissa","submitted_at":"2013-06-17T12:35:52Z","abstract_excerpt":"In this paper we give a new formulation of an abstract control problem in terms of a Grushin problem, so that we will reformulate all notions of controllability, observability and stability in a new form that gives readers an easy interpretation of these notions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3836","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":"1306.3836","created_at":"2026-05-18T03:20:46.228165+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.3836v1","created_at":"2026-05-18T03:20:46.228165+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3836","created_at":"2026-05-18T03:20:46.228165+00:00"},{"alias_kind":"pith_short_12","alias_value":"DTKE67EL72CS","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DTKE67EL72CSX6EA","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DTKE67EL","created_at":"2026-05-18T12:27:43.054852+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/DTKE67EL72CSX6EAOTAD3N5ZSH","json":"https://pith.science/pith/DTKE67EL72CSX6EAOTAD3N5ZSH.json","graph_json":"https://pith.science/api/pith-number/DTKE67EL72CSX6EAOTAD3N5ZSH/graph.json","events_json":"https://pith.science/api/pith-number/DTKE67EL72CSX6EAOTAD3N5ZSH/events.json","paper":"https://pith.science/paper/DTKE67EL"},"agent_actions":{"view_html":"https://pith.science/pith/DTKE67EL72CSX6EAOTAD3N5ZSH","download_json":"https://pith.science/pith/DTKE67EL72CSX6EAOTAD3N5ZSH.json","view_paper":"https://pith.science/paper/DTKE67EL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.3836&json=true","fetch_graph":"https://pith.science/api/pith-number/DTKE67EL72CSX6EAOTAD3N5ZSH/graph.json","fetch_events":"https://pith.science/api/pith-number/DTKE67EL72CSX6EAOTAD3N5ZSH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DTKE67EL72CSX6EAOTAD3N5ZSH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DTKE67EL72CSX6EAOTAD3N5ZSH/action/storage_attestation","attest_author":"https://pith.science/pith/DTKE67EL72CSX6EAOTAD3N5ZSH/action/author_attestation","sign_citation":"https://pith.science/pith/DTKE67EL72CSX6EAOTAD3N5ZSH/action/citation_signature","submit_replication":"https://pith.science/pith/DTKE67EL72CSX6EAOTAD3N5ZSH/action/replication_record"}},"created_at":"2026-05-18T03:20:46.228165+00:00","updated_at":"2026-05-18T03:20:46.228165+00:00"}