{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5Q3NPA7PCMNLAB2OQQGK322J7V","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":"a8f5452bda9bfd48014186437afd7bf3465970e41afed65f0f72e0aa183801f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-19T12:01:55Z","title_canon_sha256":"19ea7e6de8be14a72921667b1c58547848d2e744bda86a3790f39dbca56876b4"},"schema_version":"1.0","source":{"id":"1806.07173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07173","created_at":"2026-05-18T00:12:51Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07173v1","created_at":"2026-05-18T00:12:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07173","created_at":"2026-05-18T00:12:51Z"},{"alias_kind":"pith_short_12","alias_value":"5Q3NPA7PCMNL","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5Q3NPA7PCMNLAB2O","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5Q3NPA7P","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:2711efbbcc7d69b8812b30823b3a2231eb5656b19ef0cff788ef71835a5c5336","target":"graph","created_at":"2026-05-18T00:12:51Z","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":"We propose a new discretization of a mixed stress formulation of the Stokes equations. The velocity $u$ is approximated with $H(\\operatorname{div})$-conforming finite elements providing exact mass conservation. While many standard methods use $H^1$-conforming spaces for the discrete velocity, $H(\\operatorname{div})$-conformity fits the considered variational formulation in this work. A new stress-like variable $\\sigma$ equalling the gradient of the velocity is set within a new function space $H(\\operatorname{curl} \\operatorname{div})$. New matrix-valued finite elements having continuous \"norma","authors_text":"Jay Gopalakrishnan, Joachim Sch\\\"oberl, Philip L. Lederer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-19T12:01:55Z","title":"A mass conserving mixed stress formulation for the Stokes equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07173","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:b30cc9bbb0a4dc293127a1da8a2c38d0f8db72cd0e7910eb2882c3b5d03c5c03","target":"record","created_at":"2026-05-18T00:12:51Z","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":"a8f5452bda9bfd48014186437afd7bf3465970e41afed65f0f72e0aa183801f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-19T12:01:55Z","title_canon_sha256":"19ea7e6de8be14a72921667b1c58547848d2e744bda86a3790f39dbca56876b4"},"schema_version":"1.0","source":{"id":"1806.07173","kind":"arxiv","version":1}},"canonical_sha256":"ec36d783ef131ab0074e840cadeb49fd4b2adc8b59f21cd33a469fa13afb3dac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec36d783ef131ab0074e840cadeb49fd4b2adc8b59f21cd33a469fa13afb3dac","first_computed_at":"2026-05-18T00:12:51.666327Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:51.666327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IromifR4zThAQ9OzYVNNVtiFnDlB4NnHc8pTArm6nWnjhWgWuOEKpvDYkDBTRmOB4mykMr1bc1O7Yv5JsRQTDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:51.666823Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.07173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b30cc9bbb0a4dc293127a1da8a2c38d0f8db72cd0e7910eb2882c3b5d03c5c03","sha256:2711efbbcc7d69b8812b30823b3a2231eb5656b19ef0cff788ef71835a5c5336"],"state_sha256":"db752d3aaea8d25f5d6149660c6bcd95a10ebe9a281ad1b95c62a6e6126e5968"}