{"as_of":"2026-08-11T13:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c15c070d6723a24339749ea6bb9fd8910c13890bff3b88a0ce16322350bd407c","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-07T15:08:27.274626Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2604.25722/citation-record","integrity":"/paper/2604.25722/integrity","json":"/paper/2604.25722/citation-record.json","paper":"/paper/2604.25722"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bear, Dynamics of Fluids in Porous Media, Courier Corporation","venue":null,"work_id":"ed0d22e5-186c-4268-92fe-4eaa0f354201","year":2013},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:a0635c1999a7975afe1a82c35269c90ad27772f3c122cea1ab431e8d57a403c9","observation_id":"f2f2ac75-437f-465c-a004-5790a598a657","resolution":{"observed_at":"2026-05-27T03:48:45.316672Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"64133bd2-3e7b-4033-948c-b53e8e6afe57","year":2015},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:f08aa792d5c1f81309929e7c1e864c337f069812c4d0dc8dd6dfd0e78b61f4b9","observation_id":"53ed9300-b24d-4136-a84b-00663fdc79be","resolution":{"observed_at":"2026-05-27T03:48:45.296878Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4afcf174-5445-4016-aa05-367cc3183f72","year":2010},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:769c86d00da305c3360a3d4f70652149f55104a1bb94dacb2bd059d25e5f9c6b","observation_id":"b21271d2-0528-4380-a8b8-40b635f9b98f","resolution":{"observed_at":"2026-05-27T03:48:45.305437Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"fe4cfa9c-c116-4769-ba64-895382747329","year":2021},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:e557ce7a5d4c29c1f57c27915dd2cf6d1204352a45ac1825ee33b0409fac02f3","observation_id":"28b9454a-2a82-4fd1-8f16-dee48da84c90","resolution":{"observed_at":"2026-05-27T03:48:45.293701Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Sánchez-Palencia, Non-Homogeneous Media and Vibration Theory, Springer","venue":null,"work_id":"b0f9cd55-1193-43e5-805b-ba065414acc6","year":1980},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:cbda0a9ae966a8d16c2dd3529e65be826b7cec6ad16156342269869748a8ee70","observation_id":"0b62616a-7dbf-4d68-9ca2-95e04b25e4da","resolution":{"observed_at":"2026-05-27T03:48:45.331421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Auriault, C","venue":null,"work_id":"79cc4b34-ec20-462b-85b1-76d396e6afe9","year":2010},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:1fd0015f1621c2ddd6be10943f18b9f985c258e0fcfc2f3b34c672823feb098a","observation_id":"af3f5591-9a35-4fba-b39d-68c8e93e8127","resolution":{"observed_at":"2026-05-27T03:48:45.305816Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Hornung, Homogenization and Porous Media, Springer Science & Business Media","venue":null,"work_id":"74d498ea-2f87-4321-a281-ad5e9d315508","year":1997},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:11c73bfb751e7be2660713f7477d84bf5d621c432a1c817c993ed239cfc81bb1","observation_id":"553437ab-4c31-4c56-b347-7cd291822ae6","resolution":{"observed_at":"2026-05-27T03:48:45.281729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Mikelić, Homogenization theory and applications to filtration through porous media, in: Filtration in Porous Media and Industrial Application, Springer, 2007, pp","venue":null,"work_id":"9360633e-f2e7-480c-9577-aa8dbefdc579","year":2007},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:8498a20b056ab7a103d1d471040080a544bf5629f7cf8b9e852aa03770d15244","observation_id":"4d1c141a-5fad-4336-af8b-8edb3f174537","resolution":{"observed_at":"2026-05-27T03:48:45.309675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Lions, Some Methods in the Mathematical Analysis of Systems and Their Control, Gordon And Breach","venue":null,"work_id":"ddfb3453-cf03-4d50-a8e5-2735f224a232","year":1981},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:ae0e361eeb08eedbae6d868961cc86a3eb8b37ec0804fb159874fae21d9a87be","observation_id":"f61575b1-d7a3-4bce-8358-01c7b33b7915","resolution":{"observed_at":"2026-05-27T03:48:45.308783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"925fa631-efe8-4ddd-8151-c832be83cee0","year":1992},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:fd07a91bca1c37c6136f79420ea8bcf3a6295134c5fe52e1e4ee001d64ed9132","observation_id":"8e4e1e1f-dfc4-442a-b8ad-2cac91e184a1","resolution":{"observed_at":"2026-05-27T03:48:45.259848Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Mikelic, Mathematical derivation of the Darcy-type law with memory effects, governing transient flow through porous medium, Glasnik Matematicki 29 (49) (1994) 57–77","venue":null,"work_id":"6bcb181e-50d6-4829-a233-a0603362dea5","year":1994},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:7bbfbe3f3815cdb67e5e87c04546ba77c8f209693a7dab85b326fb1ea232ed55","observation_id":"f2f186a6-0a95-43a5-8039-3a879be0d23e","resolution":{"observed_at":"2026-05-27T03:48:45.262167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a6c9d3d0-0d1b-4385-8ef7-62dfc7ec9858","year":1997},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:1f563e51b92c904d354a5418dcad762960ecaa7c26148f31b5028da9fa1a7849","observation_id":"81b2a6e1-90bd-43c6-b4f5-bf1634af08a3","resolution":{"observed_at":"2026-05-27T03:48:45.327473Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Knabner, L","venue":null,"work_id":"0563b756-adb5-4d50-984f-ef1bb7fbe46d","year":2003},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:2e3719aab1ac1a579ebfb18f0045fe575e041749bbf90345ed3feb0f13ed363c","observation_id":"e6ff507f-dcf4-497b-a022-ef0bbd9209f0","resolution":{"observed_at":"2026-05-27T03:48:45.315942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Quarteroni, A","venue":null,"work_id":"89859d52-3522-4d74-8399-bc91db8d22f4","year":1994},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:c3650e22e2756e89565da5941129df0ddd1356635ccb8290dc8802d46d2738d2","observation_id":"72b3136d-d9e8-4260-bb92-6fcaa352a37c","resolution":{"observed_at":"2026-05-27T03:48:45.250117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"57311f9c-9cfa-4aeb-aaca-3b6888010d3f","year":1998},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:14a89c32eda043cc5e19701a683621f29f327134fd2db70f6e69804e7aa23736","observation_id":"741415b4-521a-4452-8cce-f74604989114","resolution":{"observed_at":"2026-05-27T03:48:45.312269Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Lubich, Convolution quadrature and discretized operational calculus","venue":null,"work_id":"b7a8905c-6fc1-4493-8b3b-12ac13c7b6fb","year":1988},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:9f66ee3f686f3b22ba3817fa003f2f81278cd3a6dd195e0e0197a9e142ec24ed","observation_id":"5ee887ac-b32d-4b63-ba4c-e840276add7c","resolution":{"observed_at":"2026-05-27T03:48:45.324596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2d568177-599e-4f2d-b888-c1ddea1b5b88","year":2023},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:e00801e550c93bb01e06d0fe29815bfb5a8ea53578a69189cf14c87a1d913f41","observation_id":"9324b80b-34b9-4adb-9acb-fac20a255fbe","resolution":{"observed_at":"2026-05-27T03:48:45.337419Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Linz, Analytical and Numerical Methods for Volterra Equations, SIAM","venue":null,"work_id":"90f50eb7-0ce9-41a9-831c-e70d727abcd8","year":1985},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:45f6bd39eacf52bbefa3c4b41e468ba3264ebae4e2d17c6a264b511fa6ff96b6","observation_id":"14c2c287-bcfa-4f9a-9c3a-29a75e26f433","resolution":{"observed_at":"2026-05-27T03:48:45.275734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Vabishchevich, Numerical solution of theCauchy problemfor Volterraintegrodifferentialequations with difference kernels, Applied Numerical Mathematics 174 (2022) 177–190","venue":null,"work_id":"9ba489f0-0cbb-4fc2-b283-7e08b789b613","year":2022},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:194861e15b1464d1b3d16e556c3b7fce80a75a20a9b0be4e2aa514370b937acb","observation_id":"f55355ae-a280-43ce-a764-968fd7735bb9","resolution":{"observed_at":"2026-05-27T03:48:45.286408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4da25358-e912-4872-8064-bd917ffb74c1","year":2023},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:21561fa132df742c7bd9456cc257a7501f656de00f7996ddb142984382490d17","observation_id":"3d981ff3-8099-488a-b7e1-544c90a02e8c","resolution":{"observed_at":"2026-05-27T03:48:45.334514Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c38d89c0-bcde-421c-af03-401fcc752477","year":2020},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:2193ef5156d5027cdb5aad799bd43f4b776e51b93e1d6604ebfb1b1d1bbb0d45","observation_id":"7e444639-a5fd-481e-b603-e14f21d03331","resolution":{"observed_at":"2026-05-27T03:48:45.279409Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Glowinski, T.-W","venue":null,"work_id":"0f8337a1-38a2-4d1f-b274-216bc99ae712","year":2022},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:70fd928051a997b329b2a2d2afda1b9dadf500fd978a8adcd929bc6a436b53d7","observation_id":"726820db-5c1a-438d-b15d-31ba0a77247b","resolution":{"observed_at":"2026-05-27T03:48:45.302512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Meinardus, Approximation of Functions: Theory and Numerical Methods, Springer, Berlin, Heidel- berg","venue":null,"work_id":"30894b34-dd0e-4f44-a7f3-ba2b73355fe9","year":2012},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:13b9bd25f22c907d56ea39c9deb3931edbcbd383af46cb0db9187851069a1b29","observation_id":"0e624295-cc8b-4c74-9097-087047f02189","resolution":{"observed_at":"2026-05-27T03:48:45.289564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"954ab460-4327-4b02-8d50-3a155a4b60ef","year":2019},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:cb416f5d032f5d792b76a80c84d856acd7c6f71c28d87036ecb4c2a4e3f3ba80","observation_id":"87d6a6fb-c0d0-4493-8ac9-00578f1fef53","resolution":{"observed_at":"2026-05-27T03:48:45.243080Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Pereyra, G","venue":null,"work_id":"4022e473-6713-44e8-bb06-62e3a4d633a5","year":2010},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:0d49c172e9317d1698c7a937338026c02b77180cd87feed73db27c60149a1054","observation_id":"36e0ac6a-4624-4e1d-870d-996267a62909","resolution":{"observed_at":"2026-05-27T03:48:45.269241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Holmström, J","venue":null,"work_id":"1425c2aa-6f38-44a0-9f9c-b4de307f00d5","year":2002},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:dd7580bd3748d6c55137a00adcb42613034d50829f7bcda73f72dbe738187684","observation_id":"c52a986a-f251-47b1-a6fe-8051fec2e3e8","resolution":{"observed_at":"2026-05-27T03:48:45.293073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b8284556-accd-4826-8644-034ab0b3191d","year":2026},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:e646d4d92c54e69b18de74c53b3aa9705337fb7a19846e8fdae7c0342932d258","observation_id":"cf9296a5-b79d-401c-a60e-7ffbdea368a9","resolution":{"observed_at":"2026-05-27T03:48:45.287890Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Braess, Nonlinear Approximation Theory, Springer, Berlin, Heidelberg","venue":null,"work_id":"a7bb4e82-a7c8-4636-a405-71e3195c376b","year":1986},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:cc0ce0e295225fbbaa4e84baf5d9acd3d8454875cc2f996e1d1bbda5071c22e8","observation_id":"bebd2015-c9dd-4543-be8b-07b4b46e4e33","resolution":{"observed_at":"2026-05-27T03:48:45.303143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.16237","last_updated":"2025-10-17T22:00:37Z","snapshot_observed_at":"2026-08-10T01:18:30.543182Z","submitted_at":"2025-10-17T22:00:37Z","title":"Applications of AAA rational approximation","version":1},"cited_work":{"arxiv_id":"2510.16237","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2510.16237","snapshot_observed_at":"2026-06-24T15:15:16.303145Z","title":"Nakatsukasa, L","venue":null,"work_id":"e6513bea-1b33-49e7-adc5-5e4b45869926","year":2025},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"cited_paper":"/paper/2510.16237","citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:252429d39d599222316e3f72f6c9280759e8dadb098a90621355507b555bb3e9","observation_id":"8d38e0d8-d85c-41b9-907a-15d3314632a8","resolution":{"observed_at":"2026-06-24T15:15:16.303145Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a9481662-c3d2-4dea-bcaf-baeca39db361","year":2026},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:e33304c4c4df2ea87625ca1d0b80081b377a16899c51694aa035b8fe5c003b0f","observation_id":"d918df97-a625-4673-b922-2c43c5c71aeb","resolution":{"observed_at":"2026-05-27T03:48:45.312980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"82cacf09-4235-4f63-91b3-ba790fa9a20e","year":2025},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:63b385f5af934564cd8f2ba0574ed90d362f56cca2a78471c187ad439efcd0e0","observation_id":"58c1b9ed-ebf4-4fb0-b521-3bc40fa71217","resolution":{"observed_at":"2026-05-27T03:48:45.256070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems, Springer Science & Business Media","venue":null,"work_id":"dea7fbe5-afc1-4eef-ad74-27b7371df123","year":2011},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:cfc3755b3fa7fc1ab0ff375561c5fa577f37dbb458c20c4785f555b8b13ff45f","observation_id":"4d6117d3-e7a5-4de8-9506-1603d8946eee","resolution":{"observed_at":"2026-05-27T03:48:45.267325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Babuška, J","venue":null,"work_id":"e793c7e1-303e-43fa-aab9-7b9f8a325feb","year":1991},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:9d8c5a4da7ff8670bc7686be39622ee90ecb8734ef7dd02cbf007735c9685f7c","observation_id":"0f22135a-dcc6-4005-bc72-358d84ee2e61","resolution":{"observed_at":"2026-05-27T03:48:45.271425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Boffi, F","venue":null,"work_id":"68c805e9-3cde-4147-a767-f22b95f1c8cf","year":2013},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:5205de332a1e664f70b5b8f1b3ebf5deea04c6bb545a9e64c11f2113da71f60f","observation_id":"30c7591a-471a-4537-a06e-969138bcd32f","resolution":{"observed_at":"2026-05-27T03:48:45.296301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":"Saad, Numerical Methods for Large Eigenvalue Problems, SIAM","venue":null,"work_id":"90bc8e47-6bba-456e-b836-8da627439a2d","year":2011},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:43e3d226d1def2b333f9beda8a7fb9f65ccbe1929c15a96a8370bdf4ef64e031","observation_id":"dbef55e4-08d9-43d2-ae9a-7f09a1bcb878","resolution":{"observed_at":"2026-05-27T03:48:45.321010Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"83784655-d98e-46be-835e-e6015dea49b5","year":2001},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:0aa6eaf6ac3d58879fb3add9475a7ae7cdb92504b7eae3aa0ea19c163908406c","observation_id":"7d9002d6-2ede-4a1b-b7f1-4c302315e0ae","resolution":{"observed_at":"2026-05-27T03:48:45.290702Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"08f025a5-c275-4b3d-ae90-28e8a5f98aab","year":2002},"citing_paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-07T15:08:27.274626Z"},"links":{"citing_paper":"/paper/2604.25722"},"observation_digest":"sha256:e93b35d5f60d92b98c624528b66652a78b02187fdfc30e980fd34f24134f9917","observation_id":"2dd46c27-976d-41ed-84a0-6a1dcf46bcee","resolution":{"observed_at":"2026-05-27T03:48:45.231033Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.25722","last_updated":"2026-04-28T14:48:03Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-07-31T06:10:04.110554Z","submitted_at":"2026-04-28T14:48:03Z","title":"Computational homogenization of unsteady flows in a periodic porous medium"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":37},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2604.25722."}