{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OVR54QSL2JVBXPCA6IQZTWEUOY","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":"1a8fc3a5e3dc41d1126e8a8bbcac394fdb18c61c1ba59ebe7c35d4df9e58d664","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-09-09T11:32:26Z","title_canon_sha256":"bd3826b9c54966adf2196268a948dae1ff4948d7bc6e58bfd49ce0b1177d1c0f"},"schema_version":"1.0","source":{"id":"1809.02957","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02957","created_at":"2026-05-18T00:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02957v1","created_at":"2026-05-18T00:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02957","created_at":"2026-05-18T00:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"OVR54QSL2JVB","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OVR54QSL2JVBXPCA","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OVR54QSL","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:6f5d750c2501a8f80252d965df177be5950e55325a340fecd312f66503f43492","target":"graph","created_at":"2026-05-18T00:06:10Z","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":"This article establishes a discrete maximum principle (DMP) for the approximate solution of convection-diffusion-reaction problems obtained from the weak Galerkin finite element method on nonuniform rectangular partitions. The DMP analysis is based on a simplified formulation of the weak Galerkin involving only the approximating functions defined on the boundary of each element. The simplified weak Galerkin method has a reduced computational complexity over the usual weak Galerkin, and indeed provides a discretization scheme different from the weak Galerkin when the reaction term presents. An ","authors_text":"Junping Wang, Yujie Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-09-09T11:32:26Z","title":"A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02957","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":"sha256:5ad9ad8f36aa41c0be1aa0808c697f7d9bc830f8c7abab336beed97a242220b5","target":"record","created_at":"2026-05-18T00:06:10Z","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":"1a8fc3a5e3dc41d1126e8a8bbcac394fdb18c61c1ba59ebe7c35d4df9e58d664","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-09-09T11:32:26Z","title_canon_sha256":"bd3826b9c54966adf2196268a948dae1ff4948d7bc6e58bfd49ce0b1177d1c0f"},"schema_version":"1.0","source":{"id":"1809.02957","kind":"arxiv","version":1}},"canonical_sha256":"7563de424bd26a1bbc40f22199d8947637879eeda7b1fdbeeffb94cf091e6b69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7563de424bd26a1bbc40f22199d8947637879eeda7b1fdbeeffb94cf091e6b69","first_computed_at":"2026-05-18T00:06:10.508159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:10.508159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YLv1ifNR6Dx/Wk8rC88K0SOoAwl6Go9EoVHfhrEniSuUthVIY9KOIyBbA35Kigz3iKhS/fwJ4oalqHlLXFrJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:10.508716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.02957","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ad9ad8f36aa41c0be1aa0808c697f7d9bc830f8c7abab336beed97a242220b5","sha256:6f5d750c2501a8f80252d965df177be5950e55325a340fecd312f66503f43492"],"state_sha256":"7006b88221c27b42e4563b11384a04ee98e1671d3b188f94391f71eac0328f0d"}