{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6NLZCUTNWFH4TGORITOM2V2HXN","short_pith_number":"pith:6NLZCUTN","schema_version":"1.0","canonical_sha256":"f35791526db14fc999d144dccd5747bb6c5ec4faccb1c75b274e45ecfd06129b","source":{"kind":"arxiv","id":"1803.01963","version":1},"attestation_state":"computed","paper":{"title":"An Accurate and Efficient Algorithm for The Time-fractional Molecular Beam Epitaxy Model with Slope Selection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Hong Wang, Jia Zhao, Jiwei Zhang, Lizhen Chen, Waixiang Cao","submitted_at":"2018-03-06T00:28:22Z","abstract_excerpt":"In this paper, we propose a time-fractional molecular beam epitaxy (MBE) model with slope selection and its efficient, accurate, full discrete, linear numerical approximation. The numerical scheme utilizes the fast algorithm for the Caputo fractional derivative operator in time discretization and Fourier spectral method in spatial discretization. Refinement tests are conducted to verify the $2-\\alpha$ order of time convergence, with $\\alpha \\in (0, 1]$ the fractional order of derivative. Several numerical simulations are presented to demonstrate the accuracy and efficiency of our newly propose"},"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":"1803.01963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-06T00:28:22Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"0b12010fdf347fd92ff4a4ef000100363ba993b9a7cc42f02ff1eb3357023869","abstract_canon_sha256":"661047d76a02f58d40572e053fc0a6e1f7dfbb3ffca8b2c4ad5f83354dc1d18f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:11:35.076177Z","signature_b64":"DiIPhThXAQjtZ4PQVSCnqXjVkB/mkjVUdy2dnMdTo8Oo63L/YaQWYUOCd/XJk2/uTpe5U0Y1A91D4xkm2WN2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f35791526db14fc999d144dccd5747bb6c5ec4faccb1c75b274e45ecfd06129b","last_reissued_at":"2026-06-04T19:11:35.075550Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:11:35.075550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Accurate and Efficient Algorithm for The Time-fractional Molecular Beam Epitaxy Model with Slope Selection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Hong Wang, Jia Zhao, Jiwei Zhang, Lizhen Chen, Waixiang Cao","submitted_at":"2018-03-06T00:28:22Z","abstract_excerpt":"In this paper, we propose a time-fractional molecular beam epitaxy (MBE) model with slope selection and its efficient, accurate, full discrete, linear numerical approximation. The numerical scheme utilizes the fast algorithm for the Caputo fractional derivative operator in time discretization and Fourier spectral method in spatial discretization. Refinement tests are conducted to verify the $2-\\alpha$ order of time convergence, with $\\alpha \\in (0, 1]$ the fractional order of derivative. Several numerical simulations are presented to demonstrate the accuracy and efficiency of our newly propose"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01963","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1803.01963/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1803.01963","created_at":"2026-06-04T19:11:35.075687+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.01963v1","created_at":"2026-06-04T19:11:35.075687+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01963","created_at":"2026-06-04T19:11:35.075687+00:00"},{"alias_kind":"pith_short_12","alias_value":"6NLZCUTNWFH4","created_at":"2026-06-04T19:11:35.075687+00:00"},{"alias_kind":"pith_short_16","alias_value":"6NLZCUTNWFH4TGOR","created_at":"2026-06-04T19:11:35.075687+00:00"},{"alias_kind":"pith_short_8","alias_value":"6NLZCUTN","created_at":"2026-06-04T19:11:35.075687+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.04142","citing_title":"Energy stable schemes for gradient flows based on novel auxiliary variable with energy bounded above","ref_index":3,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN","json":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN.json","graph_json":"https://pith.science/api/pith-number/6NLZCUTNWFH4TGORITOM2V2HXN/graph.json","events_json":"https://pith.science/api/pith-number/6NLZCUTNWFH4TGORITOM2V2HXN/events.json","paper":"https://pith.science/paper/6NLZCUTN"},"agent_actions":{"view_html":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN","download_json":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN.json","view_paper":"https://pith.science/paper/6NLZCUTN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.01963&json=true","fetch_graph":"https://pith.science/api/pith-number/6NLZCUTNWFH4TGORITOM2V2HXN/graph.json","fetch_events":"https://pith.science/api/pith-number/6NLZCUTNWFH4TGORITOM2V2HXN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN/action/storage_attestation","attest_author":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN/action/author_attestation","sign_citation":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN/action/citation_signature","submit_replication":"https://pith.science/pith/6NLZCUTNWFH4TGORITOM2V2HXN/action/replication_record"}},"created_at":"2026-06-04T19:11:35.075687+00:00","updated_at":"2026-06-04T19:11:35.075687+00:00"}