{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EY7Q2X7XJHZCP6CICBAX4LZSCR","short_pith_number":"pith:EY7Q2X7X","schema_version":"1.0","canonical_sha256":"263f0d5ff749f227f84810417e2f321472be26e42e56fa8512bc3e3f685ba618","source":{"kind":"arxiv","id":"1607.04582","version":1},"attestation_state":"computed","paper":{"title":"Global mild solutions for the nonautonomous 2D Navier-Stokes equations with impulse effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Everaldo M. Bonotto, Jaqueline G. Mesquita, Ricardo P. Silva","submitted_at":"2016-07-15T17:08:00Z","abstract_excerpt":"The present paper deals with existence and uniqueness of global mild solutions for the 2D Navier-Stokes equations with impulses. Using the framework of nonautonomous dynamical systems, we extend previous results considering the 2D Navier-Stokes equations with impulse effects and allowing that the nonlinear terms are explicitly time-dependent. Additionally, we present sufficient conditions to obtain dissipativity (boundedness) for solutions starting in bounded sets."},"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":"1607.04582","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-15T17:08:00Z","cross_cats_sorted":[],"title_canon_sha256":"08d3968e24f0f955b297975074d708c4863f16dca470d61357f8782dfaea22e9","abstract_canon_sha256":"fc47f0fe843b640fab523991e06325b9d1ebbff2ebae3e78e0b1f4800fd5c801"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:56.954492Z","signature_b64":"tzDTY5FAk56R4Jc4zez7UiAa+KEVU5q13RxRrCQF3w6widZgfxPQlL+NKvnU1y9uqDOVqzn6ksMmdPTMMqbmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"263f0d5ff749f227f84810417e2f321472be26e42e56fa8512bc3e3f685ba618","last_reissued_at":"2026-05-18T00:28:56.953934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:56.953934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global mild solutions for the nonautonomous 2D Navier-Stokes equations with impulse effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Everaldo M. Bonotto, Jaqueline G. Mesquita, Ricardo P. Silva","submitted_at":"2016-07-15T17:08:00Z","abstract_excerpt":"The present paper deals with existence and uniqueness of global mild solutions for the 2D Navier-Stokes equations with impulses. Using the framework of nonautonomous dynamical systems, we extend previous results considering the 2D Navier-Stokes equations with impulse effects and allowing that the nonlinear terms are explicitly time-dependent. Additionally, we present sufficient conditions to obtain dissipativity (boundedness) for solutions starting in bounded sets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04582","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":"1607.04582","created_at":"2026-05-18T00:28:56.954015+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.04582v1","created_at":"2026-05-18T00:28:56.954015+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04582","created_at":"2026-05-18T00:28:56.954015+00:00"},{"alias_kind":"pith_short_12","alias_value":"EY7Q2X7XJHZC","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"EY7Q2X7XJHZCP6CI","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"EY7Q2X7X","created_at":"2026-05-18T12:30:15.759754+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/EY7Q2X7XJHZCP6CICBAX4LZSCR","json":"https://pith.science/pith/EY7Q2X7XJHZCP6CICBAX4LZSCR.json","graph_json":"https://pith.science/api/pith-number/EY7Q2X7XJHZCP6CICBAX4LZSCR/graph.json","events_json":"https://pith.science/api/pith-number/EY7Q2X7XJHZCP6CICBAX4LZSCR/events.json","paper":"https://pith.science/paper/EY7Q2X7X"},"agent_actions":{"view_html":"https://pith.science/pith/EY7Q2X7XJHZCP6CICBAX4LZSCR","download_json":"https://pith.science/pith/EY7Q2X7XJHZCP6CICBAX4LZSCR.json","view_paper":"https://pith.science/paper/EY7Q2X7X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.04582&json=true","fetch_graph":"https://pith.science/api/pith-number/EY7Q2X7XJHZCP6CICBAX4LZSCR/graph.json","fetch_events":"https://pith.science/api/pith-number/EY7Q2X7XJHZCP6CICBAX4LZSCR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EY7Q2X7XJHZCP6CICBAX4LZSCR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EY7Q2X7XJHZCP6CICBAX4LZSCR/action/storage_attestation","attest_author":"https://pith.science/pith/EY7Q2X7XJHZCP6CICBAX4LZSCR/action/author_attestation","sign_citation":"https://pith.science/pith/EY7Q2X7XJHZCP6CICBAX4LZSCR/action/citation_signature","submit_replication":"https://pith.science/pith/EY7Q2X7XJHZCP6CICBAX4LZSCR/action/replication_record"}},"created_at":"2026-05-18T00:28:56.954015+00:00","updated_at":"2026-05-18T00:28:56.954015+00:00"}