{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RK2MSPUUZTOPEOVT7MLOOFXOWY","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":"983f46ae30971c64179f629a1d5cff8a64191680f8c771e02c29de2b076bb5ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-19T03:53:53Z","title_canon_sha256":"71789f932ddabcb03f6c994c909c4d91d0bce58ff8f78728e3ed9ac4e647335d"},"schema_version":"1.0","source":{"id":"1903.07816","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07816","created_at":"2026-05-17T23:50:53Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07816v1","created_at":"2026-05-17T23:50:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07816","created_at":"2026-05-17T23:50:53Z"},{"alias_kind":"pith_short_12","alias_value":"RK2MSPUUZTOP","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"RK2MSPUUZTOPEOVT","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"RK2MSPUU","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:a7ed1f2974d069d792c0f872c869c01fe5336db6b9e180ce53aa40d89c7ac20d","target":"graph","created_at":"2026-05-17T23:50:53Z","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, we consider the finite difference method for the generalized two-dimensional (2D) multi-term time-fractional Oldroyd-B fluid model, which is a subclass of non-Newtonian fluids. Different from the general multi-term time fractional equations, the generalized fluid equation not only has a multi-term time derivative but also possess a special time fractional operator on the spatial derivative. Firstly, a new discretization of the time fractional derivative is given. And a vital lemma, which plays an important role in the proof of stability, is firstly proposed. Then the new finite ","authors_text":"Baogui Xin, Fawang Liu, Libo Feng, Yanqin Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-19T03:53:53Z","title":"Novel numerical analysis for simulating the generalized 2D multi-term time fractional Oldroyd-B fluid model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07816","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":"sha256:7133c802c212bc8e149da3076fa2c6058521168d82f1e4e893641a62991abc0c","target":"record","created_at":"2026-05-17T23:50:53Z","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":"983f46ae30971c64179f629a1d5cff8a64191680f8c771e02c29de2b076bb5ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-19T03:53:53Z","title_canon_sha256":"71789f932ddabcb03f6c994c909c4d91d0bce58ff8f78728e3ed9ac4e647335d"},"schema_version":"1.0","source":{"id":"1903.07816","kind":"arxiv","version":1}},"canonical_sha256":"8ab4c93e94ccdcf23ab3fb16e716eeb62154baf8829958820b2f28b6c8487eb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ab4c93e94ccdcf23ab3fb16e716eeb62154baf8829958820b2f28b6c8487eb6","first_computed_at":"2026-05-17T23:50:53.827192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:53.827192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xe+PUIiRuZYG5d6WsE69SBz224zlnwyx6HEO1s3yLKz21Q+Wf/MKDtniQwLC5nk7AqWdEHbhH0DwBbndF4RBCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:53.827926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.07816","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7133c802c212bc8e149da3076fa2c6058521168d82f1e4e893641a62991abc0c","sha256:a7ed1f2974d069d792c0f872c869c01fe5336db6b9e180ce53aa40d89c7ac20d"],"state_sha256":"ca65e41b55292924bba9760c0b24cadc173575f45b2d48b71fb3a5b3d0a9f2f8"}