{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4SDNUTG3P653OZHMDPMJQONYK2","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":"aadd791084325acf5d7d7ae5fe2a31910f9f513f7d3125dbf23d625b544d883c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-30T04:16:04Z","title_canon_sha256":"47ac26975899ac427bfc95834b747e32c5a297debcb8c229ba171f74d157ead0"},"schema_version":"1.0","source":{"id":"1703.10308","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10308","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10308v2","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10308","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"pith_short_12","alias_value":"4SDNUTG3P653","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4SDNUTG3P653OZHM","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4SDNUTG3","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:d03c6db90d8a5f047eb530f60ba6b35e08712f86b6a1ea40b49a8e63e5e57407","target":"graph","created_at":"2026-05-18T00:26:57Z","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 mathematical physics, the space-fractional diffusion equations are of particular interest in the studies of physical phenomena modelled by L\\'{e}vy processes, which are sometimes called super-diffusion equations. In this article, we develop the differential quadrature (DQ) methods for solving the 2D space-fractional diffusion equations on irregular domains. The methods in presence reduce the original equation into a set of ordinary differential equations (ODEs) by introducing valid DQ formulations to fractional directional derivatives based on the functional values at scattered nodal points","authors_text":"F. Liu, X. G. Zhu, Y. F. Nie, Z. B. Yuan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-30T04:16:04Z","title":"Differential quadrature method for space-fractional diffusion equations on 2D irregular domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10308","kind":"arxiv","version":2},"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:ac5fbdd700ee60e97e860a246f72b75f00bee13f587d429851e7c61313536473","target":"record","created_at":"2026-05-18T00:26:57Z","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":"aadd791084325acf5d7d7ae5fe2a31910f9f513f7d3125dbf23d625b544d883c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-30T04:16:04Z","title_canon_sha256":"47ac26975899ac427bfc95834b747e32c5a297debcb8c229ba171f74d157ead0"},"schema_version":"1.0","source":{"id":"1703.10308","kind":"arxiv","version":2}},"canonical_sha256":"e486da4cdb7fbbb764ec1bd89839b8569ca36703b579cd98b3751e8461238658","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e486da4cdb7fbbb764ec1bd89839b8569ca36703b579cd98b3751e8461238658","first_computed_at":"2026-05-18T00:26:57.439525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:57.439525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jEZghMEzAPFi30ZZcEwakjK8gpt82XcGbi+f4OlOgsTe4djjJTPI/Hheakis5ALUQParg72socSrCXxPbvWWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:57.440021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10308","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac5fbdd700ee60e97e860a246f72b75f00bee13f587d429851e7c61313536473","sha256:d03c6db90d8a5f047eb530f60ba6b35e08712f86b6a1ea40b49a8e63e5e57407"],"state_sha256":"86d9665b96eaf50e872aece6ccc22721fe7b8080922ba792cb2afd616ff4d64e"}