{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MO4GRRB4JX2PEG2OLU5G37BOQE","short_pith_number":"pith:MO4GRRB4","schema_version":"1.0","canonical_sha256":"63b868c43c4df4f21b4e5d3a6dfc2e812495042dc24a4f891d7604cec08de084","source":{"kind":"arxiv","id":"1402.5251","version":1},"attestation_state":"computed","paper":{"title":"Global Attractor for the Navier-Stokes Equations with horizontal filtering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Davide Catania, Luca Bisconti","submitted_at":"2014-02-21T11:10:43Z","abstract_excerpt":"We consider a Large Eddy Simulation model for a homogeneous incompressible Newtonian fluid in a box space domain with periodic boundary conditions on the lateral boundaries and homogeneous Dirichlet conditions on the top and bottom boundaries, thus simulating a horizontal channel. The model is obtained through the application of an anisotropic horizontal filter, which is known to be less memory consuming from a numerical point of view, but provides less regularity with respect to the standard isotropic one defined as the inverse of the Helmholtz operator.\n  It is known that there exists a uniq"},"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":"1402.5251","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-21T11:10:43Z","cross_cats_sorted":[],"title_canon_sha256":"0ac371b8c14b942db4ae154dba8c78d3a13e364661d382e210ca213bd23bf30f","abstract_canon_sha256":"54b981fe64041a3c5fd6f95171d59b3f9171f0ffd5d88e8cec2af410563227bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:22.730113Z","signature_b64":"oY1ob965dn+goPY5gskzEYahcmyrEucoANaQr+noeKL5bbll/5Ww+SxUnvBeQBINDuvvdmlB0rJpihqf7gusCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63b868c43c4df4f21b4e5d3a6dfc2e812495042dc24a4f891d7604cec08de084","last_reissued_at":"2026-05-18T02:58:22.729689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:22.729689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global Attractor for the Navier-Stokes Equations with horizontal filtering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Davide Catania, Luca Bisconti","submitted_at":"2014-02-21T11:10:43Z","abstract_excerpt":"We consider a Large Eddy Simulation model for a homogeneous incompressible Newtonian fluid in a box space domain with periodic boundary conditions on the lateral boundaries and homogeneous Dirichlet conditions on the top and bottom boundaries, thus simulating a horizontal channel. The model is obtained through the application of an anisotropic horizontal filter, which is known to be less memory consuming from a numerical point of view, but provides less regularity with respect to the standard isotropic one defined as the inverse of the Helmholtz operator.\n  It is known that there exists a uniq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5251","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":"1402.5251","created_at":"2026-05-18T02:58:22.729749+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.5251v1","created_at":"2026-05-18T02:58:22.729749+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5251","created_at":"2026-05-18T02:58:22.729749+00:00"},{"alias_kind":"pith_short_12","alias_value":"MO4GRRB4JX2P","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MO4GRRB4JX2PEG2O","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MO4GRRB4","created_at":"2026-05-18T12:28:38.356838+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/MO4GRRB4JX2PEG2OLU5G37BOQE","json":"https://pith.science/pith/MO4GRRB4JX2PEG2OLU5G37BOQE.json","graph_json":"https://pith.science/api/pith-number/MO4GRRB4JX2PEG2OLU5G37BOQE/graph.json","events_json":"https://pith.science/api/pith-number/MO4GRRB4JX2PEG2OLU5G37BOQE/events.json","paper":"https://pith.science/paper/MO4GRRB4"},"agent_actions":{"view_html":"https://pith.science/pith/MO4GRRB4JX2PEG2OLU5G37BOQE","download_json":"https://pith.science/pith/MO4GRRB4JX2PEG2OLU5G37BOQE.json","view_paper":"https://pith.science/paper/MO4GRRB4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.5251&json=true","fetch_graph":"https://pith.science/api/pith-number/MO4GRRB4JX2PEG2OLU5G37BOQE/graph.json","fetch_events":"https://pith.science/api/pith-number/MO4GRRB4JX2PEG2OLU5G37BOQE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MO4GRRB4JX2PEG2OLU5G37BOQE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MO4GRRB4JX2PEG2OLU5G37BOQE/action/storage_attestation","attest_author":"https://pith.science/pith/MO4GRRB4JX2PEG2OLU5G37BOQE/action/author_attestation","sign_citation":"https://pith.science/pith/MO4GRRB4JX2PEG2OLU5G37BOQE/action/citation_signature","submit_replication":"https://pith.science/pith/MO4GRRB4JX2PEG2OLU5G37BOQE/action/replication_record"}},"created_at":"2026-05-18T02:58:22.729749+00:00","updated_at":"2026-05-18T02:58:22.729749+00:00"}