{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZVE24EXW5AVLEX63AJGBN6QAUC","short_pith_number":"pith:ZVE24EXW","schema_version":"1.0","canonical_sha256":"cd49ae12f6e82ab25fdb024c16fa00a09cdb31becfde24703b924f917e5c832f","source":{"kind":"arxiv","id":"1705.03031","version":2},"attestation_state":"computed","paper":{"title":"Approximation of the modified error function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Andrea N. Ceretani, Domingo A. Tarzia, Natalia N. Salva","submitted_at":"2017-05-08T18:16:24Z","abstract_excerpt":"In this article, we obtain explicit approximations of the modified error function introduced in Cho, Sunderland. Journal of Heat Transfer 96-2 (1974), 214-217, as part of a Stefan problem with a temperature-dependent thermal conductivity. This function depends on a parameter $\\delta$, which is related to the thermal conductivity in the original phase-change process. We propose a method to obtain approximations, which is based on the assumption that the modified error function admits a power series representation in $\\delta$. Accurate approximations are obtained through functions involving erro"},"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":"1705.03031","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-05-08T18:16:24Z","cross_cats_sorted":[],"title_canon_sha256":"cebf247e8af43e788b951977df57826ab3511bed3f2c15adb3644636fbe0d6b2","abstract_canon_sha256":"3185ccb7d22aa3ec1d32144af1e85d72916911f72eef74571879cbb44876fa6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:43.704816Z","signature_b64":"/8F8qGieiWTZt1dE6zknU7QzY47Rm2qAl72AXvmHgroUkAbRhApKk7nhi7WvnetHuJxY0Hq6sPtMAOsvaMyHAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd49ae12f6e82ab25fdb024c16fa00a09cdb31becfde24703b924f917e5c832f","last_reissued_at":"2026-05-18T00:17:43.704135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:43.704135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximation of the modified error function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Andrea N. Ceretani, Domingo A. Tarzia, Natalia N. Salva","submitted_at":"2017-05-08T18:16:24Z","abstract_excerpt":"In this article, we obtain explicit approximations of the modified error function introduced in Cho, Sunderland. Journal of Heat Transfer 96-2 (1974), 214-217, as part of a Stefan problem with a temperature-dependent thermal conductivity. This function depends on a parameter $\\delta$, which is related to the thermal conductivity in the original phase-change process. We propose a method to obtain approximations, which is based on the assumption that the modified error function admits a power series representation in $\\delta$. Accurate approximations are obtained through functions involving erro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03031","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":"1705.03031","created_at":"2026-05-18T00:17:43.704240+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.03031v2","created_at":"2026-05-18T00:17:43.704240+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03031","created_at":"2026-05-18T00:17:43.704240+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZVE24EXW5AVL","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZVE24EXW5AVLEX63","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZVE24EXW","created_at":"2026-05-18T12:31:59.375834+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/ZVE24EXW5AVLEX63AJGBN6QAUC","json":"https://pith.science/pith/ZVE24EXW5AVLEX63AJGBN6QAUC.json","graph_json":"https://pith.science/api/pith-number/ZVE24EXW5AVLEX63AJGBN6QAUC/graph.json","events_json":"https://pith.science/api/pith-number/ZVE24EXW5AVLEX63AJGBN6QAUC/events.json","paper":"https://pith.science/paper/ZVE24EXW"},"agent_actions":{"view_html":"https://pith.science/pith/ZVE24EXW5AVLEX63AJGBN6QAUC","download_json":"https://pith.science/pith/ZVE24EXW5AVLEX63AJGBN6QAUC.json","view_paper":"https://pith.science/paper/ZVE24EXW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.03031&json=true","fetch_graph":"https://pith.science/api/pith-number/ZVE24EXW5AVLEX63AJGBN6QAUC/graph.json","fetch_events":"https://pith.science/api/pith-number/ZVE24EXW5AVLEX63AJGBN6QAUC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZVE24EXW5AVLEX63AJGBN6QAUC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZVE24EXW5AVLEX63AJGBN6QAUC/action/storage_attestation","attest_author":"https://pith.science/pith/ZVE24EXW5AVLEX63AJGBN6QAUC/action/author_attestation","sign_citation":"https://pith.science/pith/ZVE24EXW5AVLEX63AJGBN6QAUC/action/citation_signature","submit_replication":"https://pith.science/pith/ZVE24EXW5AVLEX63AJGBN6QAUC/action/replication_record"}},"created_at":"2026-05-18T00:17:43.704240+00:00","updated_at":"2026-05-18T00:17:43.704240+00:00"}