{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:T7WQ2AMNJAFHQSTHSP5TWV6NMD","short_pith_number":"pith:T7WQ2AMN","schema_version":"1.0","canonical_sha256":"9fed0d018d480a784a6793fb3b57cd60ffcf2a1bf8e0fe98646a0732d1373246","source":{"kind":"arxiv","id":"1301.4282","version":1},"attestation_state":"computed","paper":{"title":"Approximate Deconvolution Model in a bounded domain with a vertical regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hani Ali","submitted_at":"2013-01-18T01:05:03Z","abstract_excerpt":"We study the global existence issue for a three-dimensional Approximate Deconvolution Model with a vertical filter. We consider this model in a bounded cylindrical domain where we construct a unique global weak solution. The proof is based on a refinement of the energy method given by Berselli in [3]."},"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":"1301.4282","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-18T01:05:03Z","cross_cats_sorted":[],"title_canon_sha256":"22054ac3b066c75e6f29b313aa9ff96b38b68f0c63d0c41f82b6bd1dc58d5717","abstract_canon_sha256":"66cfabae8c3612246cc82b4ac6b7121ee2a8e912cefbecb7962085a414d71c6a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:05.722075Z","signature_b64":"bAASDU23xydzdp0p8KHm7xcyiSM9xwjQmtcyhlVdb2k87UPHytREMXw+3ImHmgNqmO41JDoMwOvj1/BgugY3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fed0d018d480a784a6793fb3b57cd60ffcf2a1bf8e0fe98646a0732d1373246","last_reissued_at":"2026-05-18T03:36:05.721622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:05.721622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximate Deconvolution Model in a bounded domain with a vertical regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hani Ali","submitted_at":"2013-01-18T01:05:03Z","abstract_excerpt":"We study the global existence issue for a three-dimensional Approximate Deconvolution Model with a vertical filter. We consider this model in a bounded cylindrical domain where we construct a unique global weak solution. The proof is based on a refinement of the energy method given by Berselli in [3]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4282","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":"1301.4282","created_at":"2026-05-18T03:36:05.721689+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.4282v1","created_at":"2026-05-18T03:36:05.721689+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4282","created_at":"2026-05-18T03:36:05.721689+00:00"},{"alias_kind":"pith_short_12","alias_value":"T7WQ2AMNJAFH","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"T7WQ2AMNJAFHQSTH","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"T7WQ2AMN","created_at":"2026-05-18T12:27:59.945178+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/T7WQ2AMNJAFHQSTHSP5TWV6NMD","json":"https://pith.science/pith/T7WQ2AMNJAFHQSTHSP5TWV6NMD.json","graph_json":"https://pith.science/api/pith-number/T7WQ2AMNJAFHQSTHSP5TWV6NMD/graph.json","events_json":"https://pith.science/api/pith-number/T7WQ2AMNJAFHQSTHSP5TWV6NMD/events.json","paper":"https://pith.science/paper/T7WQ2AMN"},"agent_actions":{"view_html":"https://pith.science/pith/T7WQ2AMNJAFHQSTHSP5TWV6NMD","download_json":"https://pith.science/pith/T7WQ2AMNJAFHQSTHSP5TWV6NMD.json","view_paper":"https://pith.science/paper/T7WQ2AMN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.4282&json=true","fetch_graph":"https://pith.science/api/pith-number/T7WQ2AMNJAFHQSTHSP5TWV6NMD/graph.json","fetch_events":"https://pith.science/api/pith-number/T7WQ2AMNJAFHQSTHSP5TWV6NMD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T7WQ2AMNJAFHQSTHSP5TWV6NMD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T7WQ2AMNJAFHQSTHSP5TWV6NMD/action/storage_attestation","attest_author":"https://pith.science/pith/T7WQ2AMNJAFHQSTHSP5TWV6NMD/action/author_attestation","sign_citation":"https://pith.science/pith/T7WQ2AMNJAFHQSTHSP5TWV6NMD/action/citation_signature","submit_replication":"https://pith.science/pith/T7WQ2AMNJAFHQSTHSP5TWV6NMD/action/replication_record"}},"created_at":"2026-05-18T03:36:05.721689+00:00","updated_at":"2026-05-18T03:36:05.721689+00:00"}