{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:43DM6XKAC4MVS54AQGN34PVIR4","short_pith_number":"pith:43DM6XKA","schema_version":"1.0","canonical_sha256":"e6c6cf5d401719597780819bbe3ea88f0eb070b1ba00fad613bc1edafc91d967","source":{"kind":"arxiv","id":"1402.2191","version":2},"attestation_state":"computed","paper":{"title":"A new equivalence of Stefan's problems for the Time-Fractional-Diffusion Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eduardo Santillan Marcus, Sabrina Roscani","submitted_at":"2014-02-10T15:50:21Z","abstract_excerpt":"A fractional Stefan problem with a boundary convective condition is solved, where the fractional derivative of order $ \\alpha \\in (0,1) $ is taken in the Caputo sense. Then an equivalence with other two fractional Stefan problems (the first one with a constant condition on $ x = 0 $ and the second with a flux condition)is proved and the convergence to the classical solutions is analyzed when $ \\alpha \\nearrow 1$ recovering the heat equation with its respective Stefan 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":"1402.2191","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-10T15:50:21Z","cross_cats_sorted":[],"title_canon_sha256":"180ddd6793dcba5cde62bf19c4eba1c862fe07d792631457e7627a2a7aae5ba3","abstract_canon_sha256":"a3c364eb5b7044d30defc36af32b37c95ccf6dc231e4e9ec788cf5187a2971df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:37.886732Z","signature_b64":"HXe3QY+sA1r+pjfHGyj4+aiU3CvScmBkUcL2B+i+A6x+KgGAiD5ageI7DjeNPh7tOlLaDUq69I3ss3NpNkoQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6c6cf5d401719597780819bbe3ea88f0eb070b1ba00fad613bc1edafc91d967","last_reissued_at":"2026-05-18T02:55:37.886159Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:37.886159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new equivalence of Stefan's problems for the Time-Fractional-Diffusion Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eduardo Santillan Marcus, Sabrina Roscani","submitted_at":"2014-02-10T15:50:21Z","abstract_excerpt":"A fractional Stefan problem with a boundary convective condition is solved, where the fractional derivative of order $ \\alpha \\in (0,1) $ is taken in the Caputo sense. Then an equivalence with other two fractional Stefan problems (the first one with a constant condition on $ x = 0 $ and the second with a flux condition)is proved and the convergence to the classical solutions is analyzed when $ \\alpha \\nearrow 1$ recovering the heat equation with its respective Stefan condition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2191","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":"1402.2191","created_at":"2026-05-18T02:55:37.886255+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.2191v2","created_at":"2026-05-18T02:55:37.886255+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2191","created_at":"2026-05-18T02:55:37.886255+00:00"},{"alias_kind":"pith_short_12","alias_value":"43DM6XKAC4MV","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"43DM6XKAC4MVS54A","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"43DM6XKA","created_at":"2026-05-18T12:28:11.866339+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/43DM6XKAC4MVS54AQGN34PVIR4","json":"https://pith.science/pith/43DM6XKAC4MVS54AQGN34PVIR4.json","graph_json":"https://pith.science/api/pith-number/43DM6XKAC4MVS54AQGN34PVIR4/graph.json","events_json":"https://pith.science/api/pith-number/43DM6XKAC4MVS54AQGN34PVIR4/events.json","paper":"https://pith.science/paper/43DM6XKA"},"agent_actions":{"view_html":"https://pith.science/pith/43DM6XKAC4MVS54AQGN34PVIR4","download_json":"https://pith.science/pith/43DM6XKAC4MVS54AQGN34PVIR4.json","view_paper":"https://pith.science/paper/43DM6XKA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.2191&json=true","fetch_graph":"https://pith.science/api/pith-number/43DM6XKAC4MVS54AQGN34PVIR4/graph.json","fetch_events":"https://pith.science/api/pith-number/43DM6XKAC4MVS54AQGN34PVIR4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/43DM6XKAC4MVS54AQGN34PVIR4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/43DM6XKAC4MVS54AQGN34PVIR4/action/storage_attestation","attest_author":"https://pith.science/pith/43DM6XKAC4MVS54AQGN34PVIR4/action/author_attestation","sign_citation":"https://pith.science/pith/43DM6XKAC4MVS54AQGN34PVIR4/action/citation_signature","submit_replication":"https://pith.science/pith/43DM6XKAC4MVS54AQGN34PVIR4/action/replication_record"}},"created_at":"2026-05-18T02:55:37.886255+00:00","updated_at":"2026-05-18T02:55:37.886255+00:00"}