{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:H273QQCQ6BYUX37XALV4ACAYQR","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":"ec398eecd7ba3447bf3922a4f4f18929490678cf150f5c1b7dea789fbd5b6feb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-19T16:01:44Z","title_canon_sha256":"27369e943d0b0674af435ffc46bf89e5f49c20fa959ad0033e29e34f232e6343"},"schema_version":"1.0","source":{"id":"1804.07246","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07246","created_at":"2026-05-18T00:18:00Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07246v1","created_at":"2026-05-18T00:18:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07246","created_at":"2026-05-18T00:18:00Z"},{"alias_kind":"pith_short_12","alias_value":"H273QQCQ6BYU","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"H273QQCQ6BYUX37X","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"H273QQCQ","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:77710783c59de04b10bcb726d8e87ea12d89157b4f20619edf72918c81425a90","target":"graph","created_at":"2026-05-18T00:18:00Z","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":"In this paper, by using Strang's second-order splitting method, the numerical procedure for the three-dimensional (3D) space fractional Allen-Cahn equation can be divided into three steps. The first and third steps involve an ordinary differential equation, which can be solved analytically. The intermediate step involves a 3D linear fractional diffusion equation, which is solved by the Crank-Nicolson alternating directional implicit (ADI) method. The ADI technique can convert the multidimensional problem into a series of one-dimensional problems, which greatly reduces the computational cost. A","authors_text":"Dongdong He, Hongling Hu, Kejia Pan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-19T16:01:44Z","title":"A fourth-order maximum principle preserving operator splitting scheme for three-dimensional fractional Allen-Cahn equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07246","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":"sha256:1e76c70ec77a1e0129211e808d730492190847d5824999223179598fccceeae5","target":"record","created_at":"2026-05-18T00:18:00Z","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":"ec398eecd7ba3447bf3922a4f4f18929490678cf150f5c1b7dea789fbd5b6feb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-19T16:01:44Z","title_canon_sha256":"27369e943d0b0674af435ffc46bf89e5f49c20fa959ad0033e29e34f232e6343"},"schema_version":"1.0","source":{"id":"1804.07246","kind":"arxiv","version":1}},"canonical_sha256":"3ebfb84050f0714beff702ebc00818845ab1e7e66bd200928bf2f72c0ac967f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ebfb84050f0714beff702ebc00818845ab1e7e66bd200928bf2f72c0ac967f9","first_computed_at":"2026-05-18T00:18:00.930003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:00.930003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s0LSDJsd0pwtuyfKOJIj98HSkIDGQCr/MPgtnF2ZUMOxs0ThAmsUt99ENJkrYLnXXuDYUA5ysOTq9aeUrwPgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:00.930710Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.07246","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e76c70ec77a1e0129211e808d730492190847d5824999223179598fccceeae5","sha256:77710783c59de04b10bcb726d8e87ea12d89157b4f20619edf72918c81425a90"],"state_sha256":"5d4e5e5f02bcac06e72d0afed0ca61996a7b53d2e42d50c075d8663461a73b65"}