{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:T7QBOYIOHD2KCURSWJIQLSPAKL","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":"d7ac1d91bc312f9dbcd9f5ebc204dfccf03b1ca57f3674d29353e018c9442458","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-13T08:18:22Z","title_canon_sha256":"0e187ae80cb9ebf219495c6f713d0689818813ed35240260ce81fe9afc37ecfa"},"schema_version":"1.0","source":{"id":"1304.3788","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3788","created_at":"2026-05-18T02:51:42Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3788v1","created_at":"2026-05-18T02:51:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3788","created_at":"2026-05-18T02:51:42Z"},{"alias_kind":"pith_short_12","alias_value":"T7QBOYIOHD2K","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T7QBOYIOHD2KCURS","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T7QBOYIO","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:33617d40ab23a86dc7c15044a537ea2f3509462ed406e2ae3506c3a38957d48d","target":"graph","created_at":"2026-05-18T02:51:42Z","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":"Space fractional convection diffusion equation describes physical phenomena where particles or energy (or other physical quantities) are transferred inside a physical system due to two processes: convection and superdiffusion. In this paper, we discuss the practical alternating directions implicit method to solve the two-dimensional two-sided space fractional convection diffusion equation on a finite domain. We theoretically prove and numerically verify that the presented finite difference scheme is unconditionally von Neumann stable and second order convergent in both space and time direction","authors_text":"Minghua Chen, Weihua Deng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-13T08:18:22Z","title":"A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3788","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":"sha256:4ee286d20f464d570a6df45b04e5bcdac37b0a55c1199d9a886fd98191fed03c","target":"record","created_at":"2026-05-18T02:51:42Z","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":"d7ac1d91bc312f9dbcd9f5ebc204dfccf03b1ca57f3674d29353e018c9442458","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-13T08:18:22Z","title_canon_sha256":"0e187ae80cb9ebf219495c6f713d0689818813ed35240260ce81fe9afc37ecfa"},"schema_version":"1.0","source":{"id":"1304.3788","kind":"arxiv","version":1}},"canonical_sha256":"9fe017610e38f4a15232b25105c9e052d6943b9b1f59a3e0c7f983f3044a65a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fe017610e38f4a15232b25105c9e052d6943b9b1f59a3e0c7f983f3044a65a3","first_computed_at":"2026-05-18T02:51:42.423396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:42.423396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KziYH1CcDgPD+L0rROlfdMj8P3kY402SUykaVGCBqZBu6/H3Hr+CMzMvTaQQZvBzlzlnf46XMChZzHG8luwvBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:42.423973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3788","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ee286d20f464d570a6df45b04e5bcdac37b0a55c1199d9a886fd98191fed03c","sha256:33617d40ab23a86dc7c15044a537ea2f3509462ed406e2ae3506c3a38957d48d"],"state_sha256":"427925a9b19e1b484b0dda794f1ed15c90c2ce3c46911308797c0c542b4f9fb9"}