{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GYOEKT3STC22JTZM4DA63JOTPM","short_pith_number":"pith:GYOEKT3S","schema_version":"1.0","canonical_sha256":"361c454f7298b5a4cf2ce0c1eda5d37b0c2bf98cb2dbad47e98ee58055bbf3ce","source":{"kind":"arxiv","id":"1611.01918","version":2},"attestation_state":"computed","paper":{"title":"Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Bo You, Chang Zhang, Fang Li","submitted_at":"2016-11-07T07:12:52Z","abstract_excerpt":"In this paper, we mainly consider the long-time behavior of solutions for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions and two polynomial growth nonlinearities of arbitrary order. We prove the existence of a finite dimensional global attractor for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions by using the $\\ell$-trajectories method."},"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":"1611.01918","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-11-07T07:12:52Z","cross_cats_sorted":[],"title_canon_sha256":"3b600e2bd025092f3b3cec849aa78e8e1786592a266e29403e1a1b6dfab7bee2","abstract_canon_sha256":"81c7aa3db233a7617a8eb0df3953cf4f6d80490083753b3953784f7aa1029ea8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:37.003792Z","signature_b64":"/RkCfx+xP2+qjwZ324f8MkTEeoqW6AmfBmkKJhPvhCT3PUtOza35DridhSFud1KDyfcznRwPM+vYBF9q8+O3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"361c454f7298b5a4cf2ce0c1eda5d37b0c2bf98cb2dbad47e98ee58055bbf3ce","last_reissued_at":"2026-05-18T00:48:37.003206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:37.003206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Bo You, Chang Zhang, Fang Li","submitted_at":"2016-11-07T07:12:52Z","abstract_excerpt":"In this paper, we mainly consider the long-time behavior of solutions for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions and two polynomial growth nonlinearities of arbitrary order. We prove the existence of a finite dimensional global attractor for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions by using the $\\ell$-trajectories method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01918","kind":"arxiv","version":2},"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":"1611.01918","created_at":"2026-05-18T00:48:37.003337+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.01918v2","created_at":"2026-05-18T00:48:37.003337+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01918","created_at":"2026-05-18T00:48:37.003337+00:00"},{"alias_kind":"pith_short_12","alias_value":"GYOEKT3STC22","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GYOEKT3STC22JTZM","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GYOEKT3S","created_at":"2026-05-18T12:30:19.053100+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/GYOEKT3STC22JTZM4DA63JOTPM","json":"https://pith.science/pith/GYOEKT3STC22JTZM4DA63JOTPM.json","graph_json":"https://pith.science/api/pith-number/GYOEKT3STC22JTZM4DA63JOTPM/graph.json","events_json":"https://pith.science/api/pith-number/GYOEKT3STC22JTZM4DA63JOTPM/events.json","paper":"https://pith.science/paper/GYOEKT3S"},"agent_actions":{"view_html":"https://pith.science/pith/GYOEKT3STC22JTZM4DA63JOTPM","download_json":"https://pith.science/pith/GYOEKT3STC22JTZM4DA63JOTPM.json","view_paper":"https://pith.science/paper/GYOEKT3S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.01918&json=true","fetch_graph":"https://pith.science/api/pith-number/GYOEKT3STC22JTZM4DA63JOTPM/graph.json","fetch_events":"https://pith.science/api/pith-number/GYOEKT3STC22JTZM4DA63JOTPM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GYOEKT3STC22JTZM4DA63JOTPM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GYOEKT3STC22JTZM4DA63JOTPM/action/storage_attestation","attest_author":"https://pith.science/pith/GYOEKT3STC22JTZM4DA63JOTPM/action/author_attestation","sign_citation":"https://pith.science/pith/GYOEKT3STC22JTZM4DA63JOTPM/action/citation_signature","submit_replication":"https://pith.science/pith/GYOEKT3STC22JTZM4DA63JOTPM/action/replication_record"}},"created_at":"2026-05-18T00:48:37.003337+00:00","updated_at":"2026-05-18T00:48:37.003337+00:00"}