{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VYTA5C3YK5SO7VZJSQHLBIXLQT","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":"fe28cd13dd7b7c453454a701e189a78db20667706df77631d8593aa265d6f820","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-05-15T12:28:53Z","title_canon_sha256":"52d9df6491068054150890b634ff1a74d389366009b76ebf08a7689cc3358ca0"},"schema_version":"1.0","source":{"id":"1805.05728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.05728","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"1805.05728v1","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05728","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"VYTA5C3YK5SO","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VYTA5C3YK5SO7VZJ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VYTA5C3Y","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:dd5af91a96d8eae9ea0660e4c45a472691368d60ba246beb0384ff6603d85b86","target":"graph","created_at":"2026-05-18T00:15:53Z","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, a high-order exponential scheme is developed to solve the 1D unsteady convection-diffusion equation with Neumann boundary conditions. The present method applies fourth-order compact exponential difference scheme in spatial discretization at all interior and boundary points. The Pad\\'e approximation is used for the discretization. The resulting scheme obtains fourth-order accuracy in both spatial and temporal discretization. In each iterative loop, the scheme corresponds to a strictly diagonally dominant tridiagonal matrix equation, which can be inverted by simple tridiagonal Gau","authors_text":"Yang Liu, Yucheng Fu, Zhenfu Tian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-05-15T12:28:53Z","title":"A Compact Exponential Scheme for Solving 1D Unsteady Convection-Diffusion Equation with Neumann Boundary Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05728","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:c1b14c468c621fea1f158812c63c7c284f56a9824667a7d2c574602f983f3e02","target":"record","created_at":"2026-05-18T00:15:53Z","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":"fe28cd13dd7b7c453454a701e189a78db20667706df77631d8593aa265d6f820","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-05-15T12:28:53Z","title_canon_sha256":"52d9df6491068054150890b634ff1a74d389366009b76ebf08a7689cc3358ca0"},"schema_version":"1.0","source":{"id":"1805.05728","kind":"arxiv","version":1}},"canonical_sha256":"ae260e8b785764efd729940eb0a2eb84dfed09395673c5e2f0f38b69e1ee45de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae260e8b785764efd729940eb0a2eb84dfed09395673c5e2f0f38b69e1ee45de","first_computed_at":"2026-05-18T00:15:53.861901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:53.861901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QjW/ektGSHi2/RZ8Glw1pW2neeZWg99Y8HXR4Ht0EePUoRwFeoZBRyFqCqidxOghzMz3JefyawK9ZVhuRHp9Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:53.862636Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.05728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1b14c468c621fea1f158812c63c7c284f56a9824667a7d2c574602f983f3e02","sha256:dd5af91a96d8eae9ea0660e4c45a472691368d60ba246beb0384ff6603d85b86"],"state_sha256":"02a23d5e46922a95525b36660f057ae21edef6ad20ac0998e8716e10ab122dc9"}