{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OLNXIRFDLCDU6TVCZD7URXK4C2","short_pith_number":"pith:OLNXIRFD","schema_version":"1.0","canonical_sha256":"72db7444a358874f4ea2c8ff48dd5c16af3cdcdbd2199e58a79034a2ac300e42","source":{"kind":"arxiv","id":"1404.4177","version":2},"attestation_state":"computed","paper":{"title":"A thermo-diffusion system with Smoluchowski interactions: well-posedness and homogenization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Adrian Muntean, Oleh Krehel, Toyohiko Aiki","submitted_at":"2014-04-16T09:25:04Z","abstract_excerpt":"We study the solvability and homogenization of a thermal-diffusion reaction problem posed in a periodically perforated domain. The system describes the motion of populations of hot colloidal particles interacting together via Smoluchowski production terms. The upscaled system, obtained via two-scale convergence techniques, allows the investigation of deposition effects in porous materials in the presence of thermal gradients."},"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":"1404.4177","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-16T09:25:04Z","cross_cats_sorted":[],"title_canon_sha256":"242fb73c5f353d38901d8fb0e59abacf89cb82060c7e84bd83a8714a5ea2d327","abstract_canon_sha256":"3ef4f0a613d4f6b2a3f3f3168f1e845034d9bde06abd5ab4f399034c79ee9b22"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:46.223170Z","signature_b64":"A6MOKfQZMEbIfMJqP8FGnqCzpUkyplQ/zvr4qe0KtoaH6ZIJAh9buP/C3KsvwWM6ZoM7jQmpJuDL1kL8MtG8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72db7444a358874f4ea2c8ff48dd5c16af3cdcdbd2199e58a79034a2ac300e42","last_reissued_at":"2026-05-18T02:42:46.222726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:46.222726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A thermo-diffusion system with Smoluchowski interactions: well-posedness and homogenization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Adrian Muntean, Oleh Krehel, Toyohiko Aiki","submitted_at":"2014-04-16T09:25:04Z","abstract_excerpt":"We study the solvability and homogenization of a thermal-diffusion reaction problem posed in a periodically perforated domain. The system describes the motion of populations of hot colloidal particles interacting together via Smoluchowski production terms. The upscaled system, obtained via two-scale convergence techniques, allows the investigation of deposition effects in porous materials in the presence of thermal gradients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4177","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":"1404.4177","created_at":"2026-05-18T02:42:46.222794+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4177v2","created_at":"2026-05-18T02:42:46.222794+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4177","created_at":"2026-05-18T02:42:46.222794+00:00"},{"alias_kind":"pith_short_12","alias_value":"OLNXIRFDLCDU","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"OLNXIRFDLCDU6TVC","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"OLNXIRFD","created_at":"2026-05-18T12:28:41.024544+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/OLNXIRFDLCDU6TVCZD7URXK4C2","json":"https://pith.science/pith/OLNXIRFDLCDU6TVCZD7URXK4C2.json","graph_json":"https://pith.science/api/pith-number/OLNXIRFDLCDU6TVCZD7URXK4C2/graph.json","events_json":"https://pith.science/api/pith-number/OLNXIRFDLCDU6TVCZD7URXK4C2/events.json","paper":"https://pith.science/paper/OLNXIRFD"},"agent_actions":{"view_html":"https://pith.science/pith/OLNXIRFDLCDU6TVCZD7URXK4C2","download_json":"https://pith.science/pith/OLNXIRFDLCDU6TVCZD7URXK4C2.json","view_paper":"https://pith.science/paper/OLNXIRFD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4177&json=true","fetch_graph":"https://pith.science/api/pith-number/OLNXIRFDLCDU6TVCZD7URXK4C2/graph.json","fetch_events":"https://pith.science/api/pith-number/OLNXIRFDLCDU6TVCZD7URXK4C2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OLNXIRFDLCDU6TVCZD7URXK4C2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OLNXIRFDLCDU6TVCZD7URXK4C2/action/storage_attestation","attest_author":"https://pith.science/pith/OLNXIRFDLCDU6TVCZD7URXK4C2/action/author_attestation","sign_citation":"https://pith.science/pith/OLNXIRFDLCDU6TVCZD7URXK4C2/action/citation_signature","submit_replication":"https://pith.science/pith/OLNXIRFDLCDU6TVCZD7URXK4C2/action/replication_record"}},"created_at":"2026-05-18T02:42:46.222794+00:00","updated_at":"2026-05-18T02:42:46.222794+00:00"}