{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5I3WFGWXSSUEG4T3EOQ3HLSL25","short_pith_number":"pith:5I3WFGWX","schema_version":"1.0","canonical_sha256":"ea37629ad794a843727b23a1b3ae4bd76957ef3130fe694c008b3e33f5de7208","source":{"kind":"arxiv","id":"1704.01790","version":1},"attestation_state":"computed","paper":{"title":"Correctors justification for a Smoluchowski--Soret--Dufour model posed in perforated domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Adrian Muntean, Vo Anh Khoa","submitted_at":"2017-04-06T11:38:42Z","abstract_excerpt":"We study a coupled thermo-diffusion system that accounts for the dynamics of hot colloids in periodically heterogeneous media. Our model describes the joint evolution of temperature and colloidal concentrations in a saturated porous structure, where the Smoluchowski interactions are responsible for aggregation and fragmentation processes in the presence of Soret-Dufour type effects. Additionally, we allow for deposition and depletion on internal micro-surfaces. In this work, we derive corrector estimates quantifying the rate of convergence of the periodic homogenization limit process performed"},"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":"1704.01790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-06T11:38:42Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"9eb816e94abb62beb9bcb7201ccfa37aafe02a2918d10a37a8ed0e91a08a36f4","abstract_canon_sha256":"e91107ddefb65d32e1da7597ce189e0e10074c75bf430fe0f75639b836246080"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:54.341074Z","signature_b64":"4m8mk9HEPIiDL7eHiZ75cHqMP89l4ATJnlZpn61GGelfyix+PZkAbZDtoJf+6xseMIafuhtpIrZlDYSG9bZrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea37629ad794a843727b23a1b3ae4bd76957ef3130fe694c008b3e33f5de7208","last_reissued_at":"2026-05-18T00:46:54.340632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:54.340632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correctors justification for a Smoluchowski--Soret--Dufour model posed in perforated domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Adrian Muntean, Vo Anh Khoa","submitted_at":"2017-04-06T11:38:42Z","abstract_excerpt":"We study a coupled thermo-diffusion system that accounts for the dynamics of hot colloids in periodically heterogeneous media. Our model describes the joint evolution of temperature and colloidal concentrations in a saturated porous structure, where the Smoluchowski interactions are responsible for aggregation and fragmentation processes in the presence of Soret-Dufour type effects. Additionally, we allow for deposition and depletion on internal micro-surfaces. In this work, we derive corrector estimates quantifying the rate of convergence of the periodic homogenization limit process performed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01790","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":"1704.01790","created_at":"2026-05-18T00:46:54.340704+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.01790v1","created_at":"2026-05-18T00:46:54.340704+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01790","created_at":"2026-05-18T00:46:54.340704+00:00"},{"alias_kind":"pith_short_12","alias_value":"5I3WFGWXSSUE","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5I3WFGWXSSUEG4T3","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5I3WFGWX","created_at":"2026-05-18T12:31:00.734936+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/5I3WFGWXSSUEG4T3EOQ3HLSL25","json":"https://pith.science/pith/5I3WFGWXSSUEG4T3EOQ3HLSL25.json","graph_json":"https://pith.science/api/pith-number/5I3WFGWXSSUEG4T3EOQ3HLSL25/graph.json","events_json":"https://pith.science/api/pith-number/5I3WFGWXSSUEG4T3EOQ3HLSL25/events.json","paper":"https://pith.science/paper/5I3WFGWX"},"agent_actions":{"view_html":"https://pith.science/pith/5I3WFGWXSSUEG4T3EOQ3HLSL25","download_json":"https://pith.science/pith/5I3WFGWXSSUEG4T3EOQ3HLSL25.json","view_paper":"https://pith.science/paper/5I3WFGWX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.01790&json=true","fetch_graph":"https://pith.science/api/pith-number/5I3WFGWXSSUEG4T3EOQ3HLSL25/graph.json","fetch_events":"https://pith.science/api/pith-number/5I3WFGWXSSUEG4T3EOQ3HLSL25/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5I3WFGWXSSUEG4T3EOQ3HLSL25/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5I3WFGWXSSUEG4T3EOQ3HLSL25/action/storage_attestation","attest_author":"https://pith.science/pith/5I3WFGWXSSUEG4T3EOQ3HLSL25/action/author_attestation","sign_citation":"https://pith.science/pith/5I3WFGWXSSUEG4T3EOQ3HLSL25/action/citation_signature","submit_replication":"https://pith.science/pith/5I3WFGWXSSUEG4T3EOQ3HLSL25/action/replication_record"}},"created_at":"2026-05-18T00:46:54.340704+00:00","updated_at":"2026-05-18T00:46:54.340704+00:00"}