{"as_of":"2026-08-16T11:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1def032c242e10c123493368a5c33952fc024a92a6c7865c9631f30c0818bf44","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:52:28.780266Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.04272/citation-record","integrity":"/paper/1908.04272/integrity","json":"/paper/1908.04272/citation-record.json","paper":"/paper/1908.04272"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:52:29.235268Z","title":"An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg-Landau Theory","venue":null,"work_id":"b12b124a-ada6-48c7-a57c-d018e97a05ab","year":2017},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.651983Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:b95ac4602b91260cc8a0fa8254dda228076b67c515ee8df24aad21d72e68de80","observation_id":"abf33f9e-cc4e-482e-9167-3233a286ea16","resolution":{"observed_at":"2026-08-14T13:52:29.241345Z","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":"2026-08-14T13:52:29.218694Z","title":"Simula- tion of Dynamic Earthquake Ruptures in Com- plex Geometries Using High-Order Finite Differ- ence Methods","venue":null,"work_id":"31ab7ee9-4ee2-4ce7-b7a2-3e7db4af8482","year":2013},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.659142Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:8ddea0b2988f5059fb60fd3f412c60a34dba06537d5acc6b44fe8d2956d3495e","observation_id":"54539cf2-624c-4d90-9dcd-7663a2ba3b58","resolution":{"observed_at":"2026-08-14T13:52:29.224446Z","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":"2026-08-14T13:52:29.202944Z","title":"Spectral/hp Ele- ment Methods for Computational Fluid Dynamics (Second Edition)","venue":null,"work_id":"196fd2ff-ccaa-44c5-8862-acf4d1081285","year":2005},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.665467Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:82a7d900fa8e23e2f52a3c88f3a61506b52dbd03c2348adea84f3ea67ff85b92","observation_id":"532ad758-5e5a-4c44-a8fc-9b73385fce78","resolution":{"observed_at":"2026-08-14T13:52:29.208159Z","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":"2026-08-14T13:52:29.186714Z","title":"Implementing Spectral Methods for Partial Differential Equations","venue":null,"work_id":"d3719e71-ae59-4856-a083-f0d5d83f3366","year":2009},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.670867Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:7efdc2058943cda6823e742814fff38823330c2fee6f1755004017561acb88dd","observation_id":"e3405394-3c85-4620-ac58-32003034fa98","resolution":{"observed_at":"2026-08-14T13:52:29.192036Z","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":"2026-08-14T13:52:29.170188Z","title":"Quad-Mesh Generation and Processing: A Survey","venue":null,"work_id":"d29bc251-bf1a-44f9-aa17-6dd8a6f8eb80","year":2013},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.676548Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:fbe101ea1d8654edc985be4ef7a0824cd7ba3b012ab36a4b0f8d1398e083c570","observation_id":"3aa52100-07ba-4a9c-bc7e-1face65c6c72","resolution":{"observed_at":"2026-08-14T13:52:29.175622Z","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":"2026-08-14T13:52:29.153560Z","title":"A High Resolution PDE Approach to Quadrilateral Mesh Generation","venue":null,"work_id":"b877ea8c-72f7-4ae9-b2b3-77bc7e356d4d","year":2019},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.681897Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:cbdf339ccc41611910b0cf0a4b6fcd20330496b7613b7e3dd1b8d9d783bc0252","observation_id":"c8a2b6e9-7ae7-490e-a949-e112fc8d063e","resolution":{"observed_at":"2026-08-14T13:52:29.158950Z","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":"2026-08-14T13:52:29.136711Z","title":"Compari- son of Adaptive h and p Refinements for Spectral Difference Methods","venue":null,"work_id":"23067bc0-d18b-4e95-a805-a6cf5def7eec","year":2010},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.687662Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:080ba0ae5077f8b522f972b2ff9f0bc2b904c63ed667cc8eff55c1e65f716a53","observation_id":"29f13c98-a25f-4d31-a5eb-e78a18e60a77","resolution":{"observed_at":"2026-08-14T13:52:29.142239Z","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":"2026-08-14T13:52:29.120901Z","title":"A p-adaptation method for compressible flow prob- lems using a goal-based error indicator","venue":null,"work_id":"268ac36c-2144-4b3f-ab0e-286d5616a05a","year":2016},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.693276Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:066e6cc45756b159b1d9c07c12b76f99d5b670c2c09d77a0c2b0b41bda9b5a96","observation_id":"5c7ad7fb-2a7d-4e13-b2a2-e7985a7aa0f5","resolution":{"observed_at":"2026-08-14T13:52:29.125846Z","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":"2026-08-14T13:52:29.105577Z","title":"Towards p-Adaptive Spectral/hp Element Methods for Modelling Industrial Flows","venue":null,"work_id":"682d83fa-1037-44ba-8784-b59b40d5e30d","year":2016},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.697732Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:1a5d148369e70fc07213021b20fcf15b1064ed430e99e3900f4d9e6863cefabc","observation_id":"f7b23c18-9b53-488f-9b5b-a58dffacea01","resolution":{"observed_at":"2026-08-14T13:52:29.110441Z","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":"2026-08-14T13:52:29.090231Z","title":"Toward a paver replacement","venue":null,"work_id":"30bc767c-f50d-4ede-bd4d-2e97119fad82","year":2017},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.702376Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:5520df4ddd667aecdc7c6df99328237b1d931cb86b9b43984d45e7ac4980f4da","observation_id":"237bc8f9-810b-428c-b062-db66cfe0766a","resolution":{"observed_at":"2026-08-14T13:52:29.095151Z","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":"2026-08-14T13:52:29.073703Z","title":"A Continuum Theory for Unstruc- tured Mesh Generation in Two Dimensions","venue":null,"work_id":"fd43d4da-191f-4549-aceb-50bd02dccde7","year":2006},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.707115Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:d6b4bd5ab096273d7c65b67134c9d394b88321f039428d053d173f129f3a30dc","observation_id":"e359f7e9-8083-4661-a8e5-5c55f7db4abe","resolution":{"observed_at":"2026-08-14T13:52:29.079940Z","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":"2026-08-14T13:52:29.055672Z","title":"Towards Unstructured Mesh Genera- tion Using the Inverse Poisson Problem","venue":null,"work_id":"f55bc357-9c5b-4db3-9cef-7b1b20b9a47e","year":2008},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.711990Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:dfbd80ca279535183ad233fa6b6a5eb8cf6e9eb21d4468a338aa9e7a8631a49e","observation_id":"b322bd0a-98ae-4dff-bcf0-8073c8157ded","resolution":{"observed_at":"2026-08-14T13:52:29.062503Z","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":"2026-08-14T13:52:29.028618Z","title":"Con- tinuous Topology Simplification of Planar Vector Fields","venue":null,"work_id":"99339916-ca01-48d8-8a2c-27925c7a779a","year":2001},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.716646Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:56d896d59ffd64e1ffd0fcb44bdc83a1234c550c358737d6ea44dd1ec7c9f9cc","observation_id":"25df5cbf-bb42-4116-b7e6-442c746f1f4a","resolution":{"observed_at":"2026-08-14T13:52:29.034332Z","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":"2026-08-14T13:52:29.011607Z","title":"A PDE based approach to multi-domain partitioning and quadrilateral meshing","venue":null,"work_id":"549198f4-b58b-42f0-abe0-c29e753644c9","year":2012},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.721317Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:0dd1859f0e6486bbc30a4b25e31281e237781270b5a25365a33b25258294d919","observation_id":"e6b20b1f-6fb4-4372-b02e-adf697484c0c","resolution":{"observed_at":"2026-08-14T13:52:29.016806Z","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":"2026-08-14T13:52:28.995263Z","title":"Nektar++: An open-source spectral/hp element framework","venue":null,"work_id":"32a991d2-1b22-421b-a903-410a811c4511","year":2015},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.726362Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:b7def66534c576e37ab66414519a07494271dcfcae7e5702eb8ae278770cd3a7","observation_id":"beb560b9-624f-4970-8a81-56d65c4566d6","resolution":{"observed_at":"2026-08-14T13:52:29.000287Z","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":"2026-08-14T13:52:28.979390Z","title":"Sub-Cell Shock Captur- ing for Discontinuous Galerkin Methods","venue":null,"work_id":"3da304b7-6934-4329-b5e8-7399a45f8c6d","year":2006},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.731219Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:00fa476b35f809a71d5a33a4a15ba6ade4586be3a506f6685028eeaf28f9fb1a","observation_id":"a679ee4d-bed6-49e5-a665-16328049fea9","resolution":{"observed_at":"2026-08-14T13:52:28.984342Z","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":"2026-08-14T13:52:28.963373Z","title":"Nektar++: enhancing the capability and appli- cation of high-fidelity spectral/hp element meth- ods","venue":null,"work_id":"3b1515ad-c705-491d-b4af-ed5d7ad81b77","year":2019},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.735675Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:d1dd80d401991c854bd35796db684216bcf99af3129bb631447967d26a77f82b","observation_id":"b794fdfc-4726-433e-beae-90dfefbbd674","resolution":{"observed_at":"2026-08-14T13:52:28.968637Z","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":"2026-08-14T13:52:28.946421Z","title":"Mesh generation in curvi- linear domains using high-order elements","venue":null,"work_id":"a2257788-08ca-4cfd-b7c9-c380b3d72178","year":2002},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.740229Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:2889fb267a7402fd62f7909c6269d9992d063da8f0fa2018a0e300dc7bdd99b8","observation_id":"c0b6688b-aa5b-4ed9-8f12-b8f4a506acd3","resolution":{"observed_at":"2026-08-14T13:52:28.952209Z","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":"2026-08-14T13:52:28.930659Z","title":"Nonlinear Par- ticle Tracking for High-Order Elements","venue":null,"work_id":"5f3736af-19de-4cf7-9a7d-b1f8aedf4a40","year":2001},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.744813Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:036c87e589568c5310800fa60930992e789d5457559a74e7fd563cf8586653ce","observation_id":"a7813e47-359f-43e8-9d34-d887206a8753","resolution":{"observed_at":"2026-08-14T13:52:28.935677Z","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":"2026-08-14T13:52:28.915071Z","title":"Hexahedral meshing using midpoint subdivision and integer programming","venue":null,"work_id":"67388a81-d774-4c1f-b0d7-4ee2ab81bbe2","year":1995},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.749815Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:e7cc051cb9397abab11ee9b8c126027ea14c6ae6fa86d782bb34a5a62139f5ff","observation_id":"684d0be9-7cab-4f78-ace1-d063426cab74","resolution":{"observed_at":"2026-08-14T13:52:28.920114Z","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":"2026-08-14T13:52:28.897554Z","title":"Open Cascade","venue":null,"work_id":"50348aaa-09c3-4f7e-9af1-10fbbb5d1c74","year":2018},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.754539Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:905a8b6c1422c25b494ba965df78c1051867a4c1983053ac4c460663e5198a54","observation_id":"05639761-f274-4ff3-8a76-ef3a1664a9ec","resolution":{"observed_at":"2026-08-14T13:52:28.902976Z","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":"2026-08-14T13:52:28.880489Z","title":"An isoparametric approach to high-order curvilin- ear boundary-layer meshing","venue":null,"work_id":"b4b32617-2f89-4a5f-a9ab-1ec7f5773fce","year":2015},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.759681Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:13509055449c18d7211909006d7add21ec6c07cfd26f6791e62c7bbee677855f","observation_id":"5c784a8d-a922-46a4-a3d6-c778bd29c01f","resolution":{"observed_at":"2026-08-14T13:52:28.885615Z","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":"2026-08-14T13:52:28.863363Z","title":"High-order curvilinear hybrid mesh generation for CFD sim- ulations","venue":null,"work_id":"a6e6d5a2-ef34-4ea3-a7dd-49ba1f510252","year":2018},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.764750Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:eee19baa5361f4ff6cbcbe2eb0a69e7f331bb55fdfaa23a5cbf5b80c98d73685","observation_id":"5c021119-c40b-4b76-bbda-8e253dac4064","resolution":{"observed_at":"2026-08-14T13:52:28.868951Z","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":"2026-08-14T13:52:28.846993Z","title":"A semi-structured approach to curvilinear mesh generation around streamlined bodies","venue":null,"work_id":"8a0f4cb2-7724-4079-877b-11b3c85d7b5e","year":2019},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.769462Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:2fa1abc76cb2445ec02a7e2dffc6b3a7831d5c93b2f7f40baf431669ea5011e4","observation_id":"6c18311b-faf8-4e4a-b7ee-d067e9ca5f38","resolution":{"observed_at":"2026-08-14T13:52:28.852318Z","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":"2026-08-14T13:52:28.830450Z","title":"Practical 3D frame field generation","venue":null,"work_id":"5fe22e10-fd1c-4bca-a697-dac8635de8ab","year":2016},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.775164Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:807b9a4896d040b96c08cb8255d969104f81e500fbfa1894646559c68b54bf16","observation_id":"58a6f099-a8f0-406d-be65-3c6444f6f127","resolution":{"observed_at":"2026-08-14T13:52:28.835957Z","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":"2026-08-14T13:52:28.811836Z","title":"Multi-Block Decomposition Using Cross- Fields","venue":null,"work_id":"875e7852-ca80-4bf2-a05e-6aa4ba1aef45","year":2013},"citing_paper":{"arxiv_id":"1908.04272","last_updated":"2019-09-18T14:35:42Z","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:52:28.780266Z"},"links":{"citing_paper":"/paper/1908.04272"},"observation_digest":"sha256:57a6b87c1790168f828a9db867bbecd392b4cfb6248a629090caa73d0d1a428b","observation_id":"17510694-95cc-4f17-b720-9b091cfdd2be","resolution":{"observed_at":"2026-08-14T13:52:28.818613Z","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":"1908.04272","last_updated":"2019-09-18T14:35:42Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T06:29:41.293516Z","submitted_at":"2019-08-12T17:35:01Z","title":"Naturally curved quadrilateral mesh generation using an adaptive spectral element solver"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":26},"total_outbound_references":26},"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 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.04272."}