{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KIFIGNGD7LGEBWLYMOQ63GZSLW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cc3359471dab1ff5a9c7d178e93504fe025a6839e47f324e57e52babde5257e9","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-08T14:54:07Z","title_canon_sha256":"11538dac0f2c861c9f7d59d685860aaaa0d4cdd1f5c6a9112a2c6dfc4b353c2b"},"schema_version":"1.0","source":{"id":"1810.04054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04054","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04054v1","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04054","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"KIFIGNGD7LGE","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KIFIGNGD7LGEBWLY","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KIFIGNGD","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:823631f245c45ef96c4568cb6e8eecf490ec91f237a53dc02492bae0a74efea7","target":"graph","created_at":"2026-05-18T00:03:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Recently it was obtained in [Tarzia, Thermal Sci. 21A (2017) 1-11] for the classical two-phase Lam\\'e-Clapeyron-Stefan problem an equivalence between the temperature and convective boundary conditions at the fixed face under a certain restriction. Motivated by this article we study the two-phase Stefan problem for a semi-infinite material with a latent heat defined as a power function of the position and a convective boundary condition at the fixed face. An exact solution is constructed using Kummer functions in case that an inequality for the convective transfer coefficient is satisfied gener","authors_text":"Domingo A. Tarzia, Julieta Bollati","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-08T14:54:07Z","title":"Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04054","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7178139f6a470a6e5fad0012c1b17588f561fd0f6f124bfb9f6f35fa27c8650d","target":"record","created_at":"2026-05-18T00:03:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cc3359471dab1ff5a9c7d178e93504fe025a6839e47f324e57e52babde5257e9","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-08T14:54:07Z","title_canon_sha256":"11538dac0f2c861c9f7d59d685860aaaa0d4cdd1f5c6a9112a2c6dfc4b353c2b"},"schema_version":"1.0","source":{"id":"1810.04054","kind":"arxiv","version":1}},"canonical_sha256":"520a8334c3facc40d97863a1ed9b325d85772a948981200089f0e088030807d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"520a8334c3facc40d97863a1ed9b325d85772a948981200089f0e088030807d5","first_computed_at":"2026-05-18T00:03:00.899246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:00.899246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5q5RxHL3Jt+Lp2hsctqK7yQipD+YyVhuFgTvtMNQd9NRysFORQM+x3onixsM83Ku0Hs+fcVOvtmjgp3GVueyCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:00.899845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.04054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7178139f6a470a6e5fad0012c1b17588f561fd0f6f124bfb9f6f35fa27c8650d","sha256:823631f245c45ef96c4568cb6e8eecf490ec91f237a53dc02492bae0a74efea7"],"state_sha256":"8192c310202cf08401a83d76ad464f90325d41ff9e778ad306f24137ba056141"}