{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:L7JA4OK7YXYQBLHDQKC4NXPUJF","short_pith_number":"pith:L7JA4OK7","schema_version":"1.0","canonical_sha256":"5fd20e395fc5f100ace38285c6ddf4497c21858b55fd03454bf7bf86a34907ff","source":{"kind":"arxiv","id":"1204.3045","version":1},"attestation_state":"computed","paper":{"title":"Theory for the Rotational Deconvolution model of Turbulence with Fractional regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hani Ali","submitted_at":"2012-04-13T16:46:11Z","abstract_excerpt":"We introduce a new regularization of the rotational Navier-Stokes equations that we call the Rotational Approximate Deconvolution Model (RADM). We generalize the deconvolution type model, studied by Berselli and Lewandowski [5], to the RADM model with fractional regularization where the convergence of the solution is studied with weaker conditions on the parameter regularization."},"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":"1204.3045","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-04-13T16:46:11Z","cross_cats_sorted":[],"title_canon_sha256":"155c1d8b60a5b7c139ae0100b9f23719cc5dd1fba2f1d0b34e2f8d9b9da05ae2","abstract_canon_sha256":"d2af1d7e71a3b4c2d46dfa9df242aa89a02b0d42f5733b2978d66c2d9dc29c09"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:54.092836Z","signature_b64":"6nVR2WWGN1L6zF7D6ICtEgAuEMRAvXm3HXwhPSW7lL7F7nwvlevb9TDF/I23DlPd9apmLr4fOC5o2cz894HWCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fd20e395fc5f100ace38285c6ddf4497c21858b55fd03454bf7bf86a34907ff","last_reissued_at":"2026-05-18T03:57:54.092203Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:54.092203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory for the Rotational Deconvolution model of Turbulence with Fractional regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hani Ali","submitted_at":"2012-04-13T16:46:11Z","abstract_excerpt":"We introduce a new regularization of the rotational Navier-Stokes equations that we call the Rotational Approximate Deconvolution Model (RADM). We generalize the deconvolution type model, studied by Berselli and Lewandowski [5], to the RADM model with fractional regularization where the convergence of the solution is studied with weaker conditions on the parameter regularization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3045","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":"1204.3045","created_at":"2026-05-18T03:57:54.092304+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.3045v1","created_at":"2026-05-18T03:57:54.092304+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3045","created_at":"2026-05-18T03:57:54.092304+00:00"},{"alias_kind":"pith_short_12","alias_value":"L7JA4OK7YXYQ","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"L7JA4OK7YXYQBLHD","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"L7JA4OK7","created_at":"2026-05-18T12:27:14.488303+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/L7JA4OK7YXYQBLHDQKC4NXPUJF","json":"https://pith.science/pith/L7JA4OK7YXYQBLHDQKC4NXPUJF.json","graph_json":"https://pith.science/api/pith-number/L7JA4OK7YXYQBLHDQKC4NXPUJF/graph.json","events_json":"https://pith.science/api/pith-number/L7JA4OK7YXYQBLHDQKC4NXPUJF/events.json","paper":"https://pith.science/paper/L7JA4OK7"},"agent_actions":{"view_html":"https://pith.science/pith/L7JA4OK7YXYQBLHDQKC4NXPUJF","download_json":"https://pith.science/pith/L7JA4OK7YXYQBLHDQKC4NXPUJF.json","view_paper":"https://pith.science/paper/L7JA4OK7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.3045&json=true","fetch_graph":"https://pith.science/api/pith-number/L7JA4OK7YXYQBLHDQKC4NXPUJF/graph.json","fetch_events":"https://pith.science/api/pith-number/L7JA4OK7YXYQBLHDQKC4NXPUJF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L7JA4OK7YXYQBLHDQKC4NXPUJF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L7JA4OK7YXYQBLHDQKC4NXPUJF/action/storage_attestation","attest_author":"https://pith.science/pith/L7JA4OK7YXYQBLHDQKC4NXPUJF/action/author_attestation","sign_citation":"https://pith.science/pith/L7JA4OK7YXYQBLHDQKC4NXPUJF/action/citation_signature","submit_replication":"https://pith.science/pith/L7JA4OK7YXYQBLHDQKC4NXPUJF/action/replication_record"}},"created_at":"2026-05-18T03:57:54.092304+00:00","updated_at":"2026-05-18T03:57:54.092304+00:00"}