{"as_of":"2026-08-16T19:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:815db83022b4dbb6cec25dd0481b21c7d8b78a63d26dba5acea8cccc0a0b9b5b","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T11:31:45.998656Z","state":"measured"},{"denominator":59,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":59,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T04:14:45.422717Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T04:14:45.527164Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"cited_work":{"arxiv_id":"2412.15408","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.15408","snapshot_observed_at":"2026-08-14T04:14:45.527164Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","venue":"math.NA","work_id":"e1fea6b4-dcff-4247-9869-00a59099946a","year":2024},"citing_paper":{"arxiv_id":"2608.10217","last_updated":"2026-08-10T20:36:47Z","snapshot_observed_at":"2026-08-14T23:10:19.384496Z","submitted_at":"2026-08-10T20:36:47Z","title":"A Volumetrically Stabilized Mixed Formulation of the Finite Element Immersed Boundary Method for Fluid Structure Interaction with Fully Incompressible Hyperelastic Solids","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T04:14:45.422717Z"},"links":{"cited_paper":"/paper/2412.15408","citing_paper":"/paper/2608.10217"},"observation_digest":"sha256:eac494cc6d7648507596b4e29060b1aa19342ac377cbd73522b095c6f4757548","observation_id":"1f2a6edf-5d9d-4f16-8962-e54635f5cc8b","resolution":{"observed_at":"2026-08-14T04:14:45.534781Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.15408/citation-record","integrity":"/paper/2412.15408/integrity","json":"/paper/2412.15408/citation-record.json","paper":"/paper/2412.15408"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.683293Z","title":null,"venue":null,"work_id":"5ce40d63-edcf-4bd3-86b7-f1c6d5058a3f","year":2002},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.505478Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:41d66985dc8918a9ef4c1789c4b515967bf61216de26388ccaa365f76dcb1282","observation_id":"2fb556c6-3449-48c7-9109-2433e755242a","resolution":{"observed_at":"2026-08-11T11:31:47.692106Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.656857Z","title":null,"venue":null,"work_id":"1548ee73-e68c-4f38-8de4-48f9aaaa7290","year":1972},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.516071Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:32365f0f5a3eb294cdbbe4d5201201a282c6eaad1a2aab9f067933b00bbe53a6","observation_id":"88ca5975-5a98-42cc-ba65-662778e0a593","resolution":{"observed_at":"2026-08-11T11:31:47.665544Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.635964Z","title":"Griffith and X.Y","venue":null,"work_id":"059f2b7b-c612-4dd8-a68e-0dedabb10b69","year":2017},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.524578Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:1f61a7fe2c962d8333518accc1b4358edf795f87c67af14db6e972c35627ae6d","observation_id":"73c8cb62-6ee8-4440-b2b3-ed330a82fb9b","resolution":{"observed_at":"2026-08-11T11:31:47.641955Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.611103Z","title":"Jones, R","venue":null,"work_id":"6552ecf0-0c95-4cc8-b71a-e84f7d67a459","year":2015},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.533739Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:dcebf06398d5ba5c1040c6fa3fe1cbfee14df8c9bafffeb8f5fb68577c54cb67","observation_id":"2364e892-bad6-4c79-adaf-d5e1dd38acb5","resolution":{"observed_at":"2026-08-11T11:31:47.619971Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.585020Z","title":"Santhanakrishnan, S.K","venue":null,"work_id":"9c2d3387-e773-46d7-8373-3fa5668b2233","year":2018},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.544550Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:78f2faa1b5e85737526184cdbb0db7d44339ddf1d0118972046e6e2c808a73e8","observation_id":"cad8188a-ca7c-444a-99bb-bead6e121277","resolution":{"observed_at":"2026-08-11T11:31:47.594286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.560337Z","title":"Alben, L.A","venue":null,"work_id":"84d55cbf-e9de-4705-a29d-992bf3e2bfca","year":2013},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.555919Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:1c3281071d7fabbdc67f018cfca681840a68a24cb213361b6ae8cf7004801fb9","observation_id":"39358147-4150-46a3-acd2-28113221eaad","resolution":{"observed_at":"2026-08-11T11:31:47.568148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.536149Z","title":"Bale, B.E","venue":null,"work_id":"49127a9b-4569-483d-b6fd-444a96788a69","year":2014},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.563542Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:c5ff3bc74233d6e43abbd7cdcddab2cf3177b8edb007fdbd7a0515e3c5ec3372","observation_id":"827a36d0-54c9-443b-b4bb-a00acc31b95c","resolution":{"observed_at":"2026-08-11T11:31:47.542267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.515510Z","title":"Tytell, C","venue":null,"work_id":"f146c848-5e72-416c-a76a-bfe551949463","year":2014},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.575933Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:4d792a89236e05794db1161044c8497f39f8162ba2d02563dfc636a0c900ab7a","observation_id":"9e04f539-94a6-4368-beb4-970ff850f8f5","resolution":{"observed_at":"2026-08-11T11:31:47.521885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.494783Z","title":"Bale, I.D","venue":null,"work_id":"21db8299-00f2-4f15-8fa7-4f5c7a171e6a","year":2015},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.583150Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:e66ff3861a0cbd326bc3677b3b3416d5a53af07c00cb9875b6daaaea8734aade","observation_id":"6ecd3c61-d247-4721-b321-3d964d1a863a","resolution":{"observed_at":"2026-08-11T11:31:47.501390Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.469398Z","title":"Hoover, B.E","venue":null,"work_id":"f13d8d3a-f4cb-4362-8cc3-2ffe1c9e1f21","year":2017},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.591497Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:0cee18223fc76eecd03cf3f14b2815d2f896ee36b793037ae6d5cb000029ecbb","observation_id":"5bf17c28-fd99-4335-bc8e-1c013705b236","resolution":{"observed_at":"2026-08-11T11:31:47.478923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.441939Z","title":"Nangia, R","venue":null,"work_id":"55e52658-3a1d-4dd4-a473-0494978e6f37","year":2017},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.598849Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:8f82e5078ead032167d1ddd1932d76a92830f4a021dbb7e2ac5e8c54f5baf386","observation_id":"38dde4f9-b891-4261-b132-9b45580e5e76","resolution":{"observed_at":"2026-08-11T11:31:47.450781Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.417377Z","title":"Griffith, X.Y","venue":null,"work_id":"4625324f-dbb7-4d12-9bea-425621b21ad1","year":2009},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.608916Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:cf3d42bdd20d406c3b443aaa1217b948e53f602bd9da4e8bd0072329b12f1b4b","observation_id":"a0bdacc8-9989-492f-8a11-cf461da30ab0","resolution":{"observed_at":"2026-08-11T11:31:47.426058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.395556Z","title":"Hasan, E.M","venue":null,"work_id":"487ea000-6d42-43c2-b0f3-83b09a19efc8","year":2017},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.617473Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:54f2420d07e729a0d77676b96cb0d3ab69f14f25087544ce9f97257df654fe02","observation_id":"6d78752c-8a0b-4ca3-8b08-f39109ec2b71","resolution":{"observed_at":"2026-08-11T11:31:47.403236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.373134Z","title":"Griffith","venue":null,"work_id":"7dc59298-9589-4155-99cc-a710c11da367","year":2012},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.623631Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:9541a2d97d267d55522652dfdcffcae3d81d93f2c1a9755cf4ac5ec2a7c58e1d","observation_id":"374dd356-c018-49d5-9527-a50b82dd3a71","resolution":{"observed_at":"2026-08-11T11:31:47.380798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.345300Z","title":null,"venue":null,"work_id":"7deea0e1-58ab-4300-8c56-6a6da783e4cd","year":2016},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.630711Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:c6042660002f04e8d920f0fab65a1e75e9cff18a24e4623d30e9677810e6f327","observation_id":"e0862e16-b44f-4824-9dfe-47ba7a7ad08b","resolution":{"observed_at":"2026-08-11T11:31:47.351488Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.324617Z","title":"Crowl and A.L","venue":null,"work_id":"3651f05b-439b-4fb8-8be5-9da263492d8c","year":2011},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.640538Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:05925dce1c2e198b26889e35402557744306ed1e70937305f1dc36154e0ccd3b","observation_id":"d7cc42a6-6550-4bce-adc1-60e68c680372","resolution":{"observed_at":"2026-08-11T11:31:47.330604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.305355Z","title":"Kaiser, D.M","venue":null,"work_id":"1baa1e78-b8fd-49af-aa00-ee06073de6fc","year":2019},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.647066Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:98b4d9ac0f89421132416f4b348c2eab18507d7a72217117a02eb1955960463e","observation_id":"e3f96f0f-e3e8-4aac-92cd-bc00a866ddaf","resolution":{"observed_at":"2026-08-11T11:31:47.311148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.285523Z","title":"Davey, C","venue":null,"work_id":"6f602f5b-bec3-419a-b91b-d5928317aef1","year":2024},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.656352Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:c83daa005f493b03759a376041ac2505783f99685d285b20bd570700e3e1d94c","observation_id":"10a1e0ec-3d11-43b3-a15a-e748229b24e4","resolution":{"observed_at":"2026-08-11T11:31:47.291904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.258029Z","title":"Zhang, A","venue":null,"work_id":"31288e35-83c0-407e-a1ec-523df251a95d","year":2004},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.663464Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:62c9ac6bd6e8ffc2dfae05063ed8c564b3ffb0d6d693fbd0d34ad236dd68a609","observation_id":"5f63eeed-81a0-41d2-b544-11951887a7c5","resolution":{"observed_at":"2026-08-11T11:31:47.265254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.232426Z","title":"Wang and K.W","venue":null,"work_id":"76cc4d4b-47ad-44c8-9e89-14c19d9a500b","year":2004},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.673748Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:818012d77171749ffc359820f7a3df673c981791d83096d6a5c6a7f79236c02c","observation_id":"68108fe7-f55d-4980-a382-a29880bf9723","resolution":{"observed_at":"2026-08-11T11:31:47.238560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.210545Z","title":null,"venue":null,"work_id":"8aae87df-51cb-44b5-9c97-57bfde4af068","year":1995},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.683049Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:727eb2510fb76b35d2e11cb260eaf44fa28344ad31a2ee082230d5d586816dba","observation_id":"047c2ce5-49ad-44ec-ba3f-009fc0ead17a","resolution":{"observed_at":"2026-08-11T11:31:47.217035Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.190386Z","title":"Boffi, L","venue":null,"work_id":"f529eae6-6ffa-41bf-8ffe-f1e596a0e0c6","year":2008},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.697817Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:26b5df5efa4803e7c9879caeccca670df50baa84ce0e1bb86dd7cbd03f2a210e","observation_id":"7db48af5-06dc-4558-aded-e281ba5fd6fe","resolution":{"observed_at":"2026-08-11T11:31:47.196323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.168310Z","title":"Wells, B","venue":null,"work_id":"ac732277-aab2-4ff8-b30d-9c4e0e90dafa","year":2023},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.710144Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:1e9e5b830646aede7e92de0a590a3fd3d17902b4e0980bf12dc76d62abfbe82f","observation_id":"c5a787a0-d39d-4c63-a15d-755c3528af17","resolution":{"observed_at":"2026-08-11T11:31:47.175534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.145347Z","title":"Vadala-Roth, S","venue":null,"work_id":"8b0149bb-d273-4170-a24b-f9a5363f4547","year":2020},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.718454Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:21713ee9eaec1ed772acfa9a785da96f618581ca24f7b4df537d249fcb257624","observation_id":"19e4c94d-3126-4f53-bfc4-61b382684c04","resolution":{"observed_at":"2026-08-11T11:31:47.152562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.119382Z","title":"Lee and B.E","venue":null,"work_id":"053282e8-309e-4882-a11c-89d4ff3a19d1","year":2022},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.726050Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:6ecf6ee7c762daa56e94145917351685ee9ff249687d4fded81209e5af05890d","observation_id":"bd4e9a66-25f7-4eae-97f1-4b212eebfcfe","resolution":{"observed_at":"2026-08-11T11:31:47.129158Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.092579Z","title":"Peskin and B.F","venue":null,"work_id":"004e882c-e3d3-4fd5-8704-e185027100c1","year":1993},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.734477Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:f50ddbc9396e421a9488a887539a507d40477d0bbf917311b04dd0ca7c2d26e3","observation_id":"e33112d6-039b-4d0d-9465-babc16c672cd","resolution":{"observed_at":"2026-08-11T11:31:47.100198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2408.08280","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.164151Z","title":"Gruninger and B.E","venue":null,"work_id":"59773de8-a91d-4110-a399-fabd2369f752","year":2024},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.742034Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:454cada2d9d3f4e45d2d6ff349fcc266c578c8df340dfbb42e42f0c2d65731a7","observation_id":"68d00ebe-7698-44e6-b7a2-791c1153777f","resolution":{"observed_at":"2026-08-11T11:31:46.176774Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.064283Z","title":"Cortez and M","venue":null,"work_id":"a292bcf4-160f-483b-96a7-a2783c3ab10b","year":2000},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.748416Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:82d7141f61e93eea5fb989893512cfbf44e004fdf2ecf030daaf0f120f07c10c","observation_id":"2fafbdc1-5ba7-469d-b4cd-2d0e0f02555a","resolution":{"observed_at":"2026-08-11T11:31:47.073831Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.036846Z","title":null,"venue":null,"work_id":"0f847d81-1cdf-4920-b324-a5507a31f781","year":2017},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.758954Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:8e9392c891d5b0f566bc9b6ae3cbba69716dc9b58571f64f65a5557ff62a5038","observation_id":"287b7905-6095-4f4e-b717-743b3b9a8f4d","resolution":{"observed_at":"2026-08-11T11:31:47.045499Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:47.012916Z","title":"Griffith","venue":null,"work_id":"1dd68d08-ba5f-40d0-9f21-235c4e4d5c32","year":2012},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.767168Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:bd16d250b079fa1c26c4537d140f316d9304faf06f230ffb66febd9586455f8d","observation_id":"c1cb0c58-41d3-433a-8d4f-a8c9bf38f683","resolution":{"observed_at":"2026-08-11T11:31:47.018687Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.976538Z","title":"Lee and R.J","venue":null,"work_id":"2a2983b0-e96e-406d-968c-8a41bd0b3d92","year":2003},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.773579Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:876815359dc56f945a10f04485e94bb91346330876add6ca843fc7589fb33f79","observation_id":"03d432b1-9709-43f7-a140-071fa350e711","resolution":{"observed_at":"2026-08-11T11:31:46.986709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.951607Z","title":"Bonet and R.D","venue":null,"work_id":"dea58d7e-25ab-4539-8d80-994d39eea28f","year":2008},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.779370Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:8c67c6e45e2cd7df1ecd742ae403df7a88e66b416f4d9189f288097b63c953b2","observation_id":"58220e5f-21ef-4b5a-9a1a-615a4fd7639b","resolution":{"observed_at":"2026-08-11T11:31:46.957979Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.920304Z","title":"Devendran and C","venue":null,"work_id":"fdc2b68b-7c15-4d73-80c7-cc50010ff00c","year":2012},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.788301Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:93ad619ad8308cb483ce990c4a1f9be40923d68ac981762ca687983e2ee291be","observation_id":"c90cc4ba-7a81-4d77-b29b-775d423e7b5c","resolution":{"observed_at":"2026-08-11T11:31:46.926122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.893838Z","title":"Unser, A","venue":null,"work_id":"b6a9a7fa-34f5-4cd9-9990-a7167ba2a956","year":1992},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.796740Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:2a733d8261285fb28588fa649bed3f636afb2cfeafb9cd38be908986b7b52f23","observation_id":"7c3c416a-0267-436b-b1cf-275dad144879","resolution":{"observed_at":"2026-08-11T11:31:46.904720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.872461Z","title":"Schroeder, R","venue":null,"work_id":"89a75704-87bf-4ec1-9813-982769d7bbcb","year":2022},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.806796Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:b815669f4fe73f6d67c5778501825066c793d7d002622dd951bf1d904acd0b17","observation_id":"3bcd5740-ab3b-430c-86e1-b2013b8396bf","resolution":{"observed_at":"2026-08-11T11:31:46.878749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.843637Z","title":"Handscomb","venue":null,"work_id":"ecf97c05-45fd-4dd9-9ce5-f6adccbe019b","year":1984},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.826953Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:456fe69bf32baaf2b546a384656920e3da9443603950e146e7d127b3f70b2313","observation_id":"5a19f31a-3181-4152-a065-f4741290d782","resolution":{"observed_at":"2026-08-11T11:31:46.856857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.819017Z","title":"Harlow and J.E","venue":null,"work_id":"5f32c018-028a-40e9-b33f-4c6c1bf40aff","year":1965},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.832937Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:c103d01963da31a1a8e1d3e8a86353e329839803b84f8375b8ac7d89a329d6fb","observation_id":"cd0d8f83-46e7-48ac-a962-dcd63a79b238","resolution":{"observed_at":"2026-08-11T11:31:46.825793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.787708Z","title":null,"venue":null,"work_id":"926e66ce-f958-4bd2-adfc-88ead8f660cd","year":2009},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.842868Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:b26cf1c95027db644989c85b9d2e1101f2365eb35455447749d903b1abcaf9ef","observation_id":"e08b809a-78d2-44ce-a12e-a47b3710f804","resolution":{"observed_at":"2026-08-11T11:31:46.796675Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.766607Z","title":"Rider, J.A","venue":null,"work_id":"f6ef8332-1fb7-4042-acf6-4d93ba270e7a","year":2007},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.849826Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:7a078a266d57a9d823725c8d094cf91c4b6c97fe7501b74670dfe9627a796d42","observation_id":"bff9f9aa-31ae-4cfe-ae76-b83055566235","resolution":{"observed_at":"2026-08-11T11:31:46.771972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.736618Z","title":"Colella and P.R","venue":null,"work_id":"e966fff2-d8f7-49bb-8377-f437c08ede26","year":1984},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.861164Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:078e6c7d07ec0dacedec85502e8d41bb1451dcd3cfd7368e2e330ed0a61a043b","observation_id":"6a27d053-45c2-4e8b-b624-af65cdb68424","resolution":{"observed_at":"2026-08-11T11:31:46.749196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.710292Z","title":null,"venue":null,"work_id":"202e121d-4890-4af7-8e49-0dc64673ebc6","year":2016},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.873199Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:ee63e7663531228aaffbb12bb96b780c1c04c3b92b0ac3019f2614432152f4c3","observation_id":"d338d9cc-630f-4179-acaa-379c0aa666e4","resolution":{"observed_at":"2026-08-11T11:31:46.716702Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.679187Z","title":"Roma, C.S","venue":null,"work_id":"cf6a0b34-5048-4eb6-afa3-7e9989c3b6cf","year":1999},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.880112Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:9f4bdbf18ee023d76b8bc5ff7eb96724a934181afffb8a89ed9075b0438b1339","observation_id":"e5a2fc17-e9b9-4ed1-8a6e-72e805413315","resolution":{"observed_at":"2026-08-11T11:31:46.687439Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.656850Z","title":"Schoenberg","venue":null,"work_id":"52cd9198-0b76-47cf-a414-c088491c1d5d","year":1973},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.887923Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:9856aaee078179671a63d757de8ff771cca4097c7aed37ea19eaf1de4c0ead38","observation_id":"e6b3d3f2-fabc-43bb-aea8-e06525364470","resolution":{"observed_at":"2026-08-11T11:31:46.662517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.627890Z","title":"Schoenberg","venue":null,"work_id":"15886454-62c1-4230-893f-ab9aabfb6428","year":1946},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.894446Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:f235d3be2c44271942d06623f365553f42ea4529b0ef331bc7cd7e3e2385f889","observation_id":"e1736fd3-7842-4ee4-b900-d2579638f832","resolution":{"observed_at":"2026-08-11T11:31:46.637380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.608457Z","title":null,"venue":null,"work_id":"b298a8d9-36c2-405f-9720-ffedef999b19","year":1978},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.901014Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:669f381ea2ad23c3bf2b4f109c34a396f08a2c43fb892f49fc4830179e76f8f0","observation_id":"39302bf7-c058-45ca-b8fd-d5cee05d6b83","resolution":{"observed_at":"2026-08-11T11:31:46.615025Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.579868Z","title":"Gruninger, A","venue":null,"work_id":"a1524afd-cf68-4778-86bf-5974ab61ee34","year":2024},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.907971Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:6e9e5fe58b96515b172d27086e7a0b96e13097d81d41d96d4b4bb8765c572568","observation_id":"32f985ea-b03b-46f6-99e1-90f5f294a99f","resolution":{"observed_at":"2026-08-11T11:31:46.588662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.551526Z","title":"Roy-Chowdhury, T","venue":null,"work_id":"26695170-30d7-465d-a787-1059ae72b302","year":2024},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.913484Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:4d80fb3017030535c125bf9619b2012a76b9529c57422769cc515675f55361f3","observation_id":"8b388aae-c91d-4c44-814f-2101de07b332","resolution":{"observed_at":"2026-08-11T11:31:46.559693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.518874Z","title":"Thermodynamic relations for high elastic materials","venue":null,"work_id":"c1fbd6b5-9887-4098-aa58-1a2d6f1e60eb","year":1961},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.920867Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:fcc4babdbbc49cb1e853b71b3f6bd6634c7dfb29bac1ba79c49a3e880c86cd3f","observation_id":"984d2939-0fbf-4547-94ec-f596630e489d","resolution":{"observed_at":"2026-08-11T11:31:46.528043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.488739Z","title":"Griffith, Richard D","venue":null,"work_id":"bb40183b-17a3-4616-a233-959beda6bdec","year":2007},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.931346Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:234056b34c46099862ae3dee41c179c814b754a94a8ae203f1812cbbdaa41de4","observation_id":"e97c250a-fe0c-4eb9-89ed-8a9035ce616d","resolution":{"observed_at":"2026-08-11T11:31:46.500428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.444792Z","title":"Griffith, Richard D","venue":null,"work_id":"127e233c-a1b9-49c2-83eb-b93d39f3a27a","year":2009},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.940800Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:946afb7cbb28d52b7f1aa149078cac1f598d1255b06534b69fc5d58a7ed50702","observation_id":"a7d2be51-35a8-4bec-a79b-b4076191128b","resolution":{"observed_at":"2026-08-11T11:31:46.463859Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.420231Z","title":"http://ibamr.github.io/","venue":null,"work_id":"5b723947-bc72-4712-a7dd-0a9a98e67c2c","year":null},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.946355Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:6a1e6266510742a96bb5cb888dadbeea620ae19d506c218e74666d51ceed0bd8","observation_id":"ccfc924b-7fcc-430f-aa12-8752b96bb974","resolution":{"observed_at":"2026-08-11T11:31:46.426046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.382688Z","title":"Hornung and Scott R","venue":null,"work_id":"7144dd72-a886-47e4-81f1-fffa6c02d8a6","year":2002},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.955062Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:83bd7e66e2852b0bd6027314544fedb7af8eb63ebafbc7876ce9290fed767c50","observation_id":"b643828c-be4f-40a1-8c0b-7917edaad82f","resolution":{"observed_at":"2026-08-11T11:31:46.391210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.350643Z","title":"Adams, Steven Benson, Jed Brown, Peter Brune, Kris Buschelman, Emil M","venue":null,"work_id":"cb31f6f7-d171-4fac-8004-f677d53a79c6","year":2024},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.962455Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:ba2258a2021019fd825cc9855b4eefdba46b95658e3d77ccc98d2bae07e22c02","observation_id":"d133accb-524b-4dc7-8cf9-5676abed7657","resolution":{"observed_at":"2026-08-11T11:31:46.359935Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.319156Z","title":"Adams, Steven Benson, Jed Brown, Peter Brune, Kris Buschelman, Emil Constantinescu, Lisandro Dalcin, Alp Dener, Victor Eijkhout, Jacob Faibussowitsch, William D","venue":null,"work_id":"5c83821b-ce69-4566-bb3b-9ab846681332","year":2024},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.970127Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:0b515b2d4bc08e4f4c03106233295ff50700365103fd711e505c83acf9d17bbc","observation_id":"3bc7aa16-de3f-4f5d-964f-f63e1c3324aa","resolution":{"observed_at":"2026-08-11T11:31:46.330985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.287625Z","title":"Gropp, Lois Curfman McInnes, and Barry F","venue":null,"work_id":"35655ed2-9072-4861-88f8-0e793fbbba80","year":1997},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.978432Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:d80bb2a6d889d5fd9c1ddfd4f7bf4669fd6f41e3663df92e9599c78b9cc1905f","observation_id":"896ae50f-c913-43e2-9b3f-4106e1199322","resolution":{"observed_at":"2026-08-11T11:31:46.295701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.258415Z","title":"Turek and J","venue":null,"work_id":"91287892-5776-47bc-8597-9f731b904c5f","year":2006},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.986380Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:d0963eca2ba0fcb6b6df83520d143901dcfb643c00a3fa57ab52d66bb22bb57c","observation_id":"a8e8cd75-4a68-46c7-9404-e06fda641e98","resolution":{"observed_at":"2026-08-11T11:31:46.265620Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.223671Z","title":"Lee, A.D","venue":null,"work_id":"bb4c4b85-a75c-4a76-a69f-22e3291a7627","year":2020},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.992800Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:b1a1f89f4288dcfc25af73e136cdd2b8c0b1fe202364788f81647537b0ca8881","observation_id":"e6136030-8088-4a27-9443-f2d2927a862b","resolution":{"observed_at":"2026-08-11T11:31:46.235281Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:31:46.199140Z","title":"Gasser, R.W","venue":null,"work_id":"aa7017af-a4c9-4be4-a2a6-e5787e343539","year":2006},"citing_paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-11T11:31:45.998656Z"},"links":{"citing_paper":"/paper/2412.15408"},"observation_digest":"sha256:63118b90bd7171f4eab91bb36d33819ea27a197c910dc6860197fbcf669f0053","observation_id":"ca37ce03-de00-405d-b92b-fabc6c32580f","resolution":{"observed_at":"2026-08-11T11:31:46.206547Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.15408","last_updated":"2024-12-19T21:22:49Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-14T04:59:35.203130Z","submitted_at":"2024-12-19T21:22:49Z","title":"Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":1,"verified_fuzzy":49},"total_outbound_references":58},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2412.15408."}