{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FR3MX75HB3SA7SPLMIOZKHCSBW","short_pith_number":"pith:FR3MX75H","schema_version":"1.0","canonical_sha256":"2c76cbffa70ee40fc9eb621d951c520dbd4c233fc016419a0deb9ad66cbb30c4","source":{"kind":"arxiv","id":"1702.07159","version":1},"attestation_state":"computed","paper":{"title":"Existence and boundary regularity for degenerate phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Casimir Lindfors, Jos\\'e Miguel Urbano, Paolo Baroni, Tuomo Kuusi","submitted_at":"2017-02-23T10:14:35Z","abstract_excerpt":"We study the Cauchy-Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan problem. We prove that weak solutions are continuous up to the parabolic boundary and quantify the continuity by deriving a modulus. As a byproduct, these a priori regularity results are used to prove the existence of a so-called physical solution."},"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":"1702.07159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-23T10:14:35Z","cross_cats_sorted":[],"title_canon_sha256":"1de458ac81c5bfd96a4283848cc3e18dd6ee82d11a1cb2416c74d2958228170f","abstract_canon_sha256":"5b7813703768d9fc48cf135eac1b305a38e1a3b0e59610a99e5647cf373a3a70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:08.047139Z","signature_b64":"h0357priWSo9m+QRRZsqoIf3P+maOKDsAwvefYGENLIASPlZLxQImmphrxvT+6SitLZ8/s+z1/2N+Cz1ogHxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c76cbffa70ee40fc9eb621d951c520dbd4c233fc016419a0deb9ad66cbb30c4","last_reissued_at":"2026-05-18T00:50:08.046411Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:08.046411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence and boundary regularity for degenerate phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Casimir Lindfors, Jos\\'e Miguel Urbano, Paolo Baroni, Tuomo Kuusi","submitted_at":"2017-02-23T10:14:35Z","abstract_excerpt":"We study the Cauchy-Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan problem. We prove that weak solutions are continuous up to the parabolic boundary and quantify the continuity by deriving a modulus. As a byproduct, these a priori regularity results are used to prove the existence of a so-called physical solution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07159","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":"1702.07159","created_at":"2026-05-18T00:50:08.046527+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.07159v1","created_at":"2026-05-18T00:50:08.046527+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07159","created_at":"2026-05-18T00:50:08.046527+00:00"},{"alias_kind":"pith_short_12","alias_value":"FR3MX75HB3SA","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FR3MX75HB3SA7SPL","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FR3MX75H","created_at":"2026-05-18T12:31:15.632608+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/FR3MX75HB3SA7SPLMIOZKHCSBW","json":"https://pith.science/pith/FR3MX75HB3SA7SPLMIOZKHCSBW.json","graph_json":"https://pith.science/api/pith-number/FR3MX75HB3SA7SPLMIOZKHCSBW/graph.json","events_json":"https://pith.science/api/pith-number/FR3MX75HB3SA7SPLMIOZKHCSBW/events.json","paper":"https://pith.science/paper/FR3MX75H"},"agent_actions":{"view_html":"https://pith.science/pith/FR3MX75HB3SA7SPLMIOZKHCSBW","download_json":"https://pith.science/pith/FR3MX75HB3SA7SPLMIOZKHCSBW.json","view_paper":"https://pith.science/paper/FR3MX75H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.07159&json=true","fetch_graph":"https://pith.science/api/pith-number/FR3MX75HB3SA7SPLMIOZKHCSBW/graph.json","fetch_events":"https://pith.science/api/pith-number/FR3MX75HB3SA7SPLMIOZKHCSBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FR3MX75HB3SA7SPLMIOZKHCSBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FR3MX75HB3SA7SPLMIOZKHCSBW/action/storage_attestation","attest_author":"https://pith.science/pith/FR3MX75HB3SA7SPLMIOZKHCSBW/action/author_attestation","sign_citation":"https://pith.science/pith/FR3MX75HB3SA7SPLMIOZKHCSBW/action/citation_signature","submit_replication":"https://pith.science/pith/FR3MX75HB3SA7SPLMIOZKHCSBW/action/replication_record"}},"created_at":"2026-05-18T00:50:08.046527+00:00","updated_at":"2026-05-18T00:50:08.046527+00:00"}