{"as_of":"2026-08-08T12:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:de704bea05294d3b7abef2d00f8ac8697a12806ed7c8ad9e078106a529c07b0e","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:24:46.439791Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.08251/citation-record","integrity":"/paper/2506.08251/integrity","json":"/paper/2506.08251/citation-record.json","paper":"/paper/2506.08251"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:24:46.946365Z","title":"B., Loula, A","venue":null,"work_id":"4d7c8af2-69fe-4aeb-aeee-0581956b45f7","year":2006},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.288442Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:ad875ffd89fcb1ec8f963f9f935b71b345052ff28102f2eb1ffa2cddfc0acd59","observation_id":"c10a10c5-7d90-4495-96f3-8843fac32102","resolution":{"observed_at":"2026-08-07T05:24:46.950698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.931844Z","title":"N., 1982","venue":null,"work_id":"892dcb6c-57f8-42f7-9d13-6718287cc2dd","year":1982},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.294537Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:2108f4687157fb24b890c0412f5f07dc4de6146032108d38fa1b4b2e9e540cce","observation_id":"dfd9bab3-09d8-43c2-89cd-49407fac3ee8","resolution":{"observed_at":"2026-08-07T05:24:46.936625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.917711Z","title":"N., Brezzi, F., Cockburn, B., Marini, D., 2002","venue":null,"work_id":"21ea6293-519d-458a-8abf-bae0d0424131","year":2002},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.299883Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:44aa55557e844a0703c8966eb0303136f21584f8d89d5ac93b5cfea0e2f9c6f1","observation_id":"0c14e575-9d79-4f1a-ab8e-6aa593ea0298","resolution":{"observed_at":"2026-08-07T05:24:46.922424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.903637Z","title":"P., Valentin, F., 2007","venue":null,"work_id":"4dd80a0c-dfc2-4735-aaef-50b6aff57556","year":2007},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.304764Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:0429a0b4f1d986cd4a00c4f69bdf0b595e34e46f6528cf55716acff2b6def0d1","observation_id":"6e5b4f49-264f-4db3-a190-5cc24f948d5e","resolution":{"observed_at":"2026-08-07T05:24:46.908264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.889780Z","title":"A., Rojas, L","venue":null,"work_id":"f9fa6dfb-f87b-4ee7-ad57-be2295e7718f","year":1974},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.309483Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:4787899a0b9b17e0d1ea80d3f2f529e2e228605d90637145e52eb2f2a8d34a0c","observation_id":"b5409ca4-2478-4ada-9d22-4f403f2dc207","resolution":{"observed_at":"2026-08-07T05:24:46.894469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.874151Z","title":"On the existence, uniqueness and approximation of saddle point problems arising from lagrange multipliers","venue":null,"work_id":"68afbf1c-05b2-456f-a3de-c0218116dc77","year":1974},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.314615Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:f206b35f340f92ddd90ceb6c8d7ed4bd0acc1646be83f47360ea4f1bd5f41c24","observation_id":"e8563fd4-e8ad-4a94-8ae5-1e1b81de0e91","resolution":{"observed_at":"2026-08-07T05:24:46.879103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.859431Z","title":"D., S¨ uli, E., 2006","venue":null,"work_id":"7dbbd538-a82b-4f3a-8f94-b99bf6ca7309","year":2006},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.319641Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:23c7d73112ab30ee8c1e9ca767c5ffb06c8c7c730b304538dae8bc9c5a1d7696","observation_id":"4028b198-ab84-46c8-bbb0-19c33d58a555","resolution":{"observed_at":"2026-08-07T05:24:46.863875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.844554Z","title":"D., 1985","venue":null,"work_id":"1128a6ce-f211-4924-ad6b-3877f7026974","year":1985},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.324249Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:ae6edadd35ad58126d43e64b9c19c6e67b0cae670adfdeabae7725cc226bbc6a","observation_id":"801d11ac-8428-45a8-b05e-ac8f875658db","resolution":{"observed_at":"2026-08-07T05:24:46.849290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.829795Z","title":"Mixed and Hybrid Finite Element Methods","venue":null,"work_id":"09a44360-6ab6-4a4d-ad82-9e7eb908fd43","year":1991},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.328931Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:d0c2bd028ac2609d141c6bc60420ae3077411796d36cd1445d58e9d415d699d8","observation_id":"367311df-1067-4d9c-8039-2a8a50187534","resolution":{"observed_at":"2026-08-07T05:24:46.834837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.814091Z","title":null,"venue":null,"work_id":"706a90e9-9625-4cc9-a9ea-03f664b0e363","year":2005},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.333391Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:9e2fae2c2720dd06dc506f22072a6cf24d95570539173f7fd4181a87fb16b6a7","observation_id":"77d75397-6367-4e8e-ae42-2c2b1cddb52e","resolution":{"observed_at":"2026-08-07T05:24:46.818547Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.799652Z","title":"G., 1978","venue":null,"work_id":"03eb04ca-6f13-41ea-b9fc-9276c5078a36","year":1978},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.337929Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:a5c1ee3f29a03e94d994e597e489b5a522b861c5cbf853c25da8507dc7bb535f","observation_id":"eae11551-48c0-4634-aa79-126b3ecc023e","resolution":{"observed_at":"2026-08-07T05:24:46.804301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.786105Z","title":"Continuous groundwater velocity fields and path lines in linear, bilinear and trilinear finite elements","venue":null,"work_id":"fb8efe55-9578-4093-a328-8d521364f381","year":1992},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.342153Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:ace2ea7d30eccb74b2510d3f4f99d26d9c96146fb2923cb2414fc6a28ba54639","observation_id":"9922a338-2eba-4832-aa14-dc99a48acbb8","resolution":{"observed_at":"2026-08-07T05:24:46.790589Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.772175Z","title":"R., 2006","venue":null,"work_id":"62c49ff4-cfe0-438f-8c8d-cd55e631dbc4","year":2006},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.346342Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:03edb9cda877665580ce36bedc4228cc7ce23e8f3e235d71bbdf6e77f5dcc6f9","observation_id":"771b940c-014c-4687-81d4-91ef40da6f29","resolution":{"observed_at":"2026-08-07T05:24:46.776546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.759147Z","title":"R., Loula, A","venue":null,"work_id":"47c905e4-acbc-490c-bc5d-0f08d7c64d71","year":2007},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.350991Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:d7b1ad43a65913ab004aeca6720f131c98e8038681b1b434731fac7aa2ed626e","observation_id":"35180f11-d1f9-4f54-938c-6d899de4bbe6","resolution":{"observed_at":"2026-08-07T05:24:46.763093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.745598Z","title":"R., Loula, A","venue":null,"work_id":"7c6fd83b-63d0-4060-be1b-55e985080a3a","year":2008},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.355223Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:095347b437054416ffd486320f6acd3ab30cfc6a976a160f6b1e15ee9d3dad1b","observation_id":"cf90d77f-c2a7-4089-845e-cb5941b59990","resolution":{"observed_at":"2026-08-07T05:24:46.750017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.731734Z","title":"I., Shaw, G","venue":null,"work_id":"759bf845-3ebe-40b1-9837-f19b5fd15f57","year":1995},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.359493Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:7f3a888014af572d03eba501c0e2fc72df52716d8ca7b0f1257c09622f5bc2db","observation_id":"c8732289-a3eb-4c7f-af93-816379858a50","resolution":{"observed_at":"2026-08-07T05:24:46.736177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.718076Z","title":"Coupling local discontinuous and continuous Galerkin methods for flow problems","venue":null,"work_id":"738c51c6-31e0-4b2c-a9f6-201c5093a4dd","year":2005},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.364627Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:735ee66137587c8e6c3a5bfe483f936c0c454c67efe93e8df6a51909c844691e","observation_id":"5a8f82a4-2fff-4a9d-b9ae-b017873b9df1","resolution":{"observed_at":"2026-08-07T05:24:46.722647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.703716Z","title":"Interior penalty proceedures for elliptic and parabolic Galerkin methods","venue":null,"work_id":"b4cfaa93-394f-48e4-bb42-494088c80bfb","year":1976},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.369114Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:e5a6bb5580b09172ef453075f57d64c31ea7eeaa441d0bf9f9650a8faa1f33f6","observation_id":"0db62562-ac79-40dc-aafa-c4620510c8ef","resolution":{"observed_at":"2026-08-07T05:24:46.709024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.688558Z","title":null,"venue":null,"work_id":"50fcf2e7-a38d-4e24-8117-5debf63eba64","year":2000},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.373614Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:f421b42f8db92baf66b846ffeb3c6bcee1b9789eb55a81b2cec864df9e102d6c","observation_id":"7b3fb2f3-b3cc-4a4b-8c53-6b51c511e167","resolution":{"observed_at":"2026-08-07T05:24:46.693189Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.675120Z","title":"J., 1994","venue":null,"work_id":"043806ca-42c5-4517-bdfc-e9bbd106490b","year":1994},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.377842Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:747fa68f89e11a08f44ef90ff43977b12ec9504c83c1db88c97b64402dec0fb0","observation_id":"87da2f49-8b5b-481b-b054-fb5127a85207","resolution":{"observed_at":"2026-08-07T05:24:46.679349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.660539Z","title":"P., Hughes, T","venue":null,"work_id":"bd233ce8-1d37-4959-97ce-47f2325150cf","year":1988},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.382217Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:a0ab4908be6a9e98d98a328f058f01583cd58e160b2dec2494c3a98bae8fc7a4","observation_id":"dd62f255-3f9e-41f4-b1ac-1a98e638a708","resolution":{"observed_at":"2026-08-07T05:24:46.665697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.647325Z","title":"P., Hughes, T","venue":null,"work_id":"6e9a3d60-e60b-4dd8-b1bf-53be92c90456","year":1988},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.386921Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:60c7055c5f9175fb39b88fd450ed1fe4d21c5e07a21ea7983652e7c1fba503fe","observation_id":"18f97bd8-da4d-43c6-9930-dd31d6b64228","resolution":{"observed_at":"2026-08-07T05:24:46.651472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.633118Z","title":"M., Fomin, S","venue":null,"work_id":"939651b6-b767-4cb5-a38e-8e8b73169a9d","year":1963},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.390894Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:52b0b05382ddc4a41d2bb379e7b6799222ccb1c838aa38749889566e46a6b3f6","observation_id":"7ec69e61-dbac-4ed5-9498-4a1599d283d9","resolution":{"observed_at":"2026-08-07T05:24:46.637759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.619016Z","title":"H., S¨ uli, E., 2005","venue":null,"work_id":"f84fd5b7-a0c1-4f68-885e-cbc3d178adc2","year":2005},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.395315Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:707800a565303cdd3bff48e9ec444a0ef6471e5516ea20c1fbf85ffb7dd45666","observation_id":"fa27dda0-a910-45e5-85da-00f22a1866cd","resolution":{"observed_at":"2026-08-07T05:24:46.623517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.605275Z","title":null,"venue":null,"work_id":"a93dc486-04a7-4203-94bc-e961630c0c14","year":2006},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.399411Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:9512273d12c22e151402532f1e21f6c7a0571628337152593d79a88ec473a54c","observation_id":"9f0555b4-717c-46d5-985b-88d51e161025","resolution":{"observed_at":"2026-08-07T05:24:46.609582Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.591842Z","title":null,"venue":null,"work_id":"011aa543-5551-430e-ae87-3af81ad6f76c","year":1987},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.403664Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:0da1aab5c9ed41e6ddc56e113dde1cd0cd35d0e65ae239345e96c932dd4526a0","observation_id":"78a67d57-fc7c-4598-9e5f-13db9795ef57","resolution":{"observed_at":"2026-08-07T05:24:46.596232Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.577741Z","title":null,"venue":null,"work_id":"aed05442-14ee-4498-89c0-3e5394df9e5e","year":1995},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.408162Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:bcebba7184152e9e9951867be71a13db22ad3c1975015f0c4c67c42eb827c28d","observation_id":"f831141a-b610-4491-a800-8ea13e8f45f4","resolution":{"observed_at":"2026-08-07T05:24:46.582191Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.563744Z","title":null,"venue":null,"work_id":"c77b95cc-d39b-456f-958a-c04c39265383","year":1988},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.412507Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:e7000c0d2c119616c4e04f1e28b42c76f519b1dc216c87409d20fd363293db53","observation_id":"e7679141-757a-4197-aa00-ba8afd892f6d","resolution":{"observed_at":"2026-08-07T05:24:46.567972Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.548477Z","title":null,"venue":null,"work_id":"fcddd8ab-3c76-43b0-a20c-8998592bfa24","year":2002},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.416952Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:60abee5179da2807a41924f978968df0deb6632c66a7f064bd2d4cfef26a55a9","observation_id":"7875a280-502a-4910-9de9-3a6ac2b42f91","resolution":{"observed_at":"2026-08-07T05:24:46.553844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.530908Z","title":"T., Babˇ uska, I., Baumann, C","venue":null,"work_id":"06efa4be-66a3-4b38-a14f-90ba52d4f84a","year":1998},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.421498Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:b7672c7dd621d99fab98f2f43170c9926da11e4432fe36b3f93e9fea6be8409a","observation_id":"3007e6e3-0351-4a87-81bc-677f3bf1ba13","resolution":{"observed_at":"2026-08-07T05:24:46.536956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.516135Z","title":"A., Thomas, J","venue":null,"work_id":"7773818c-013b-492c-9d70-d94ae096c903","year":1977},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.426314Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:8fbd7d7a85ecdef1d02325145f72ad4a90eb0ab9f503c609a0e0dde863f95c33","observation_id":"f6e1c535-01b8-44eb-95e4-2a232a7deadb","resolution":{"observed_at":"2026-08-07T05:24:46.521006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.501147Z","title":null,"venue":null,"work_id":"8fafb91d-25bb-46d6-a3eb-de33289ef227","year":2002},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.430567Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:286deb1e53a4e48e4b2243c911a87acd9d3efdda02fa81d791a839850ffe2af0","observation_id":"a215a669-8f25-41a3-81ea-e6bf5eee03ec","resolution":{"observed_at":"2026-08-07T05:24:46.505799Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.486453Z","title":"M., 1990","venue":null,"work_id":"1a33c4c6-ac10-4e80-a596-469225faa297","year":1990},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.435138Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:b2006dc482c1e5bc4c6899db9ebf3b04c80c1e335b7f486b0e2e9c05314d534a","observation_id":"5878b629-6435-4841-997c-ff303b857dc6","resolution":{"observed_at":"2026-08-07T05:24:46.491050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:24:46.470103Z","title":"F., 1978","venue":null,"work_id":"c5be707c-e5da-4f4c-bb01-36c37b9c84e3","year":1978},"citing_paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T05:24:46.439791Z"},"links":{"citing_paper":"/paper/2506.08251"},"observation_digest":"sha256:9acb004ccff4b7abfab374ff1b965d36e7b7e04c57bf725ae31be873a09c8601","observation_id":"51e6e879-0f55-446e-a1a1-bba7e23c5eaa","resolution":{"observed_at":"2026-08-07T05:24:46.476031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.08251","last_updated":"2025-06-09T21:39:48Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T05:12:57.923065Z","submitted_at":"2025-06-09T21:39:48Z","title":"On Finite Element Methods for Heterogeneous Elliptic Problems"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":26},"total_outbound_references":34},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.08251."}