{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:KIFIGNGD7LGEBWLYMOQ63GZSLW","short_pith_number":"pith:KIFIGNGD","schema_version":"1.0","canonical_sha256":"520a8334c3facc40d97863a1ed9b325d85772a948981200089f0e088030807d5","source":{"kind":"arxiv","id":"1810.04054","version":1},"attestation_state":"computed","paper":{"title":"Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Domingo A. Tarzia, Julieta Bollati","submitted_at":"2018-10-08T14:54:07Z","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"},"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":"1810.04054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-08T14:54:07Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"11538dac0f2c861c9f7d59d685860aaaa0d4cdd1f5c6a9112a2c6dfc4b353c2b","abstract_canon_sha256":"cc3359471dab1ff5a9c7d178e93504fe025a6839e47f324e57e52babde5257e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:00.899845Z","signature_b64":"5q5RxHL3Jt+Lp2hsctqK7yQipD+YyVhuFgTvtMNQd9NRysFORQM+x3onixsM83Ku0Hs+fcVOvtmjgp3GVueyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"520a8334c3facc40d97863a1ed9b325d85772a948981200089f0e088030807d5","last_reissued_at":"2026-05-18T00:03:00.899246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:00.899246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Domingo A. Tarzia, Julieta Bollati","submitted_at":"2018-10-08T14:54:07Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04054","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":"1810.04054","created_at":"2026-05-18T00:03:00.899354+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.04054v1","created_at":"2026-05-18T00:03:00.899354+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04054","created_at":"2026-05-18T00:03:00.899354+00:00"},{"alias_kind":"pith_short_12","alias_value":"KIFIGNGD7LGE","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"KIFIGNGD7LGEBWLY","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"KIFIGNGD","created_at":"2026-05-18T12:32:33.847187+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/KIFIGNGD7LGEBWLYMOQ63GZSLW","json":"https://pith.science/pith/KIFIGNGD7LGEBWLYMOQ63GZSLW.json","graph_json":"https://pith.science/api/pith-number/KIFIGNGD7LGEBWLYMOQ63GZSLW/graph.json","events_json":"https://pith.science/api/pith-number/KIFIGNGD7LGEBWLYMOQ63GZSLW/events.json","paper":"https://pith.science/paper/KIFIGNGD"},"agent_actions":{"view_html":"https://pith.science/pith/KIFIGNGD7LGEBWLYMOQ63GZSLW","download_json":"https://pith.science/pith/KIFIGNGD7LGEBWLYMOQ63GZSLW.json","view_paper":"https://pith.science/paper/KIFIGNGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.04054&json=true","fetch_graph":"https://pith.science/api/pith-number/KIFIGNGD7LGEBWLYMOQ63GZSLW/graph.json","fetch_events":"https://pith.science/api/pith-number/KIFIGNGD7LGEBWLYMOQ63GZSLW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KIFIGNGD7LGEBWLYMOQ63GZSLW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KIFIGNGD7LGEBWLYMOQ63GZSLW/action/storage_attestation","attest_author":"https://pith.science/pith/KIFIGNGD7LGEBWLYMOQ63GZSLW/action/author_attestation","sign_citation":"https://pith.science/pith/KIFIGNGD7LGEBWLYMOQ63GZSLW/action/citation_signature","submit_replication":"https://pith.science/pith/KIFIGNGD7LGEBWLYMOQ63GZSLW/action/replication_record"}},"created_at":"2026-05-18T00:03:00.899354+00:00","updated_at":"2026-05-18T00:03:00.899354+00:00"}