{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HNPZHGI2W6LG2XQABUBWOFO7TI","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":"2b529b61549867ba45ec6934835a46358b4e29c692a990ae64ac9a03243bcfa7","cross_cats_sorted":["math.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-10-22T03:48:36Z","title_canon_sha256":"e6ccdb7c3a52694d955120d61985cb61ea258c9fbd7164655907630f64569def"},"schema_version":"1.0","source":{"id":"1610.06993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06993","created_at":"2026-05-18T01:01:30Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06993v1","created_at":"2026-05-18T01:01:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06993","created_at":"2026-05-18T01:01:30Z"},{"alias_kind":"pith_short_12","alias_value":"HNPZHGI2W6LG","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HNPZHGI2W6LG2XQA","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HNPZHGI2","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:c078c27d03fd742a42152a1d99a6867185ecefae1c0575088545a68c9c5604d3","target":"graph","created_at":"2026-05-18T01:01:30Z","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":"Coarse grid projection (CGP) methodology is a novel multigrid method for systems involving decoupled nonlinear evolution equations and linear elliptic Poisson equations. The nonlinear equations are solved on a fine grid and the linear equations are solved on a corresponding coarsened grid. Mapping operators execute data transfer between the grids. The CGP framework is constructed upon spatial and temporal discretization schemes. This framework has been established for finite volume/difference discretizations as well as explicit time integration methods. In this article we present for the first","authors_text":"A. E. Staples, A. Kashefi","cross_cats":["math.NA","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-10-22T03:48:36Z","title":"A Finite-Element Coarse-Grid Projection Method: A Dual Acceleration/Mesh Refinement Tool for Incompressible Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06993","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":"sha256:86082717a237501a7d2f3b223f2f9b6b6515ad4a3fee4fe2dcbe9da9b4270f26","target":"record","created_at":"2026-05-18T01:01:30Z","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":"2b529b61549867ba45ec6934835a46358b4e29c692a990ae64ac9a03243bcfa7","cross_cats_sorted":["math.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-10-22T03:48:36Z","title_canon_sha256":"e6ccdb7c3a52694d955120d61985cb61ea258c9fbd7164655907630f64569def"},"schema_version":"1.0","source":{"id":"1610.06993","kind":"arxiv","version":1}},"canonical_sha256":"3b5f93991ab7966d5e000d036715df9a1d4954e2f0b20fd5c631bd7e10992aca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b5f93991ab7966d5e000d036715df9a1d4954e2f0b20fd5c631bd7e10992aca","first_computed_at":"2026-05-18T01:01:30.667777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:30.667777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZSPt0W60kpFOEgxvZwxRPKB/ABTGoY/KGa2GbKfZbrrDuerT32/LQICOMzTe59VCmRcdNoYspbFgaeJsnfa4CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:30.668391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.06993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86082717a237501a7d2f3b223f2f9b6b6515ad4a3fee4fe2dcbe9da9b4270f26","sha256:c078c27d03fd742a42152a1d99a6867185ecefae1c0575088545a68c9c5604d3"],"state_sha256":"d77c3838cd732f5864a7bdd88e7e64e4c3f39b3229421c510761ee6793366911"}