{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EBFMRIBWJL7VKJSUUX7LZ7TK4O","short_pith_number":"pith:EBFMRIBW","schema_version":"1.0","canonical_sha256":"204ac8a0364aff552654a5febcfe6ae3a552a5ca340c7beeb101b7a535a7e8d3","source":{"kind":"arxiv","id":"1702.04530","version":1},"attestation_state":"computed","paper":{"title":"Well-posedness for a moving boundary model of an evaporation front in a porous medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Friedrich Lippoth, Georg Prokert","submitted_at":"2017-02-15T10:08:36Z","abstract_excerpt":"We consider a two-phase elliptic-parabolic moving boundary problem modelling an evaporation front in a porous medium. Our main result is a proof of short-time existence and uniqueness of strong solutions to the corresponding nonlinear evolution problem in an $L_{p}$-setting. It relies critically on nonstandard optimal regularity results for a linear elliptic-parabolic system with dynamic boundary condition."},"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":"1702.04530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-15T10:08:36Z","cross_cats_sorted":[],"title_canon_sha256":"1771ecdcce4bbf999d500e01a61ad872130e3106251df57865379876150728c5","abstract_canon_sha256":"0a68fb791966d660cf5ebbe2bf84c0746cf2564f771499714740f14878bd7450"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:41.380850Z","signature_b64":"7rWrx8Kio0c/uO+hwkIClA10JCNqjNC7uEq9MlKTs/SfpeUdovvU7XlXYLaQH8rQfofeeCGG5em0dishJhGSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"204ac8a0364aff552654a5febcfe6ae3a552a5ca340c7beeb101b7a535a7e8d3","last_reissued_at":"2026-05-18T00:50:41.380152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:41.380152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Well-posedness for a moving boundary model of an evaporation front in a porous medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Friedrich Lippoth, Georg Prokert","submitted_at":"2017-02-15T10:08:36Z","abstract_excerpt":"We consider a two-phase elliptic-parabolic moving boundary problem modelling an evaporation front in a porous medium. Our main result is a proof of short-time existence and uniqueness of strong solutions to the corresponding nonlinear evolution problem in an $L_{p}$-setting. It relies critically on nonstandard optimal regularity results for a linear elliptic-parabolic system with dynamic boundary condition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04530","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":"1702.04530","created_at":"2026-05-18T00:50:41.380254+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.04530v1","created_at":"2026-05-18T00:50:41.380254+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04530","created_at":"2026-05-18T00:50:41.380254+00:00"},{"alias_kind":"pith_short_12","alias_value":"EBFMRIBWJL7V","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EBFMRIBWJL7VKJSU","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EBFMRIBW","created_at":"2026-05-18T12:31:12.930513+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/EBFMRIBWJL7VKJSUUX7LZ7TK4O","json":"https://pith.science/pith/EBFMRIBWJL7VKJSUUX7LZ7TK4O.json","graph_json":"https://pith.science/api/pith-number/EBFMRIBWJL7VKJSUUX7LZ7TK4O/graph.json","events_json":"https://pith.science/api/pith-number/EBFMRIBWJL7VKJSUUX7LZ7TK4O/events.json","paper":"https://pith.science/paper/EBFMRIBW"},"agent_actions":{"view_html":"https://pith.science/pith/EBFMRIBWJL7VKJSUUX7LZ7TK4O","download_json":"https://pith.science/pith/EBFMRIBWJL7VKJSUUX7LZ7TK4O.json","view_paper":"https://pith.science/paper/EBFMRIBW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.04530&json=true","fetch_graph":"https://pith.science/api/pith-number/EBFMRIBWJL7VKJSUUX7LZ7TK4O/graph.json","fetch_events":"https://pith.science/api/pith-number/EBFMRIBWJL7VKJSUUX7LZ7TK4O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EBFMRIBWJL7VKJSUUX7LZ7TK4O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EBFMRIBWJL7VKJSUUX7LZ7TK4O/action/storage_attestation","attest_author":"https://pith.science/pith/EBFMRIBWJL7VKJSUUX7LZ7TK4O/action/author_attestation","sign_citation":"https://pith.science/pith/EBFMRIBWJL7VKJSUUX7LZ7TK4O/action/citation_signature","submit_replication":"https://pith.science/pith/EBFMRIBWJL7VKJSUUX7LZ7TK4O/action/replication_record"}},"created_at":"2026-05-18T00:50:41.380254+00:00","updated_at":"2026-05-18T00:50:41.380254+00:00"}