{"as_of":"2026-08-16T11:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0b1865876c6f9937ac25c68a40948c01c46f087d5ad9150aec88a8bc38b8ec83","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:17:10.570902Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.05892/citation-record","integrity":"/paper/1908.05892/integrity","json":"/paper/1908.05892/citation-record.json","paper":"/paper/1908.05892"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0770.3500","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.863458Z","title":"Allaire : Homogenization and two-scale convergence","venue":null,"work_id":"1a4e85cb-220f-47f7-871c-4cdc7920be75","year":1992},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.478839Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:744459d3f83b40aa255048a8cb3fd52f157e348e849075e83df43ead66835314","observation_id":"037f211c-3752-4fc2-9e2f-8c6cd3139dfc","resolution":{"observed_at":"2026-08-14T13:17:11.872752Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0866.35017","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.797621Z","title":"Allaire, M","venue":null,"work_id":"7af3bf6c-1d33-49dd-8e38-9e0dd13d34e7","year":1996},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.483547Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:595f7355c04f6010b5bb7d168e85859881f3dae9789f0ddeb45fecafdbe4697e","observation_id":"fe217bf3-ffe7-4e70-9884-1f1dfc70c119","resolution":{"observed_at":"2026-08-14T13:17:11.804105Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1205.35019","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.717992Z","title":"Allaire, A","venue":null,"work_id":"a8c1a5ac-64e2-4c3f-aef0-47627d7dbf0b","year":2010},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.487437Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:60542394f386fe211e62a035ba4e2f3883f5121f980ac81146829677305e4bc8","observation_id":"d33a130b-5895-43ad-99e5-8cb622ce958f","resolution":{"observed_at":"2026-08-14T13:17:11.727101Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0404.35001","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.646535Z","title":"Bensoussan, J.-L","venue":null,"work_id":"88cab8bb-f2fa-4afa-a7c2-80f0d11474a7","year":1978},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.492072Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:e796afda973e551a2375cf0bfe0ebcab63294ba09fa96c8ca8b2dda34c6a7944","observation_id":"65554b70-2ce4-4739-bf36-56d30d599ba8","resolution":{"observed_at":"2026-08-14T13:17:11.653055Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.921535Z","title":"Danielsson, P","venue":null,"work_id":"e2d713e6-e145-46b3-94df-712bd179340a","year":2018},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.496388Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:2b92d3a0976b756f954900d4ce621a731388ead014656824f717a13f36ee9b5f","observation_id":"bfb38557-a3cf-4ba6-8ab3-b9898e8780ea","resolution":{"observed_at":"2026-08-14T13:17:11.925485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.908589Z","title":"Danielsson, P","venue":null,"work_id":"d092e930-5556-4908-b87a-e1002c484d3d","year":2018},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.500813Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:9f617bc510a3ccacabcf974b92d07025baa95476532f8c81f6d7c1466cd677cc","observation_id":"cbd6b99d-1de3-4e1e-aab6-aaa279f8f769","resolution":{"observed_at":"2026-08-14T13:17:11.913273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1336.35046","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.572971Z","title":"Douanla, J","venue":null,"work_id":"f286f318-8fc5-410d-969c-380d29f53e65","year":2015},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.505312Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:1180e8b4db611fdf015c1e53e3c00f65f64c5e722e0b7db0493c26e9e1d639e2","observation_id":"b1925234-b69d-4732-956d-14c682fc0383","resolution":{"observed_at":"2026-08-14T13:17:11.581942Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1198.35023","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.506985Z","title":"Flod´ en, A","venue":null,"work_id":"fcd5a97a-5b5b-40a5-b899-8070d22a5cf5","year":2010},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.509258Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:5170d8479d3c5404a567c796927c6bb6c00bb015e055140aea307addc5c7ee7d","observation_id":"c9dc20e8-1b1b-4cf3-a774-63455c533510","resolution":{"observed_at":"2026-08-14T13:17:11.513240Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1242.35030","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.437849Z","title":"Flod´ en, A","venue":null,"work_id":"71cfbe95-3b7b-4592-b91f-9d5b5558acb4","year":2012},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.513349Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:657a1972a56c87695b684532265085f7ca759bd362610fe8355dabf04e5f3726","observation_id":"3a66b597-ee55-4a05-91d6-0d44dacb5a3c","resolution":{"observed_at":"2026-08-14T13:17:11.447193Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1293.35027","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.369308Z","title":"Flod´ en, A","venue":null,"work_id":"12344fd5-a45d-4ae3-9c5a-b7272948ce58","year":2013},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.517161Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:5614c0a3d6e112ec1f78c6a3942b6497fd0e5cb26cf26f23d7c81c7326a360de","observation_id":"09be3303-1035-4732-82de-018917382f0a","resolution":{"observed_at":"2026-08-14T13:17:11.375269Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1155/2014/101685","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:10.613473Z","title":"Flod´ en, A","venue":null,"work_id":"c8b51b38-c5ff-4716-a25a-2dd60e03813f","year":2014},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.521176Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:6823b52577f3731e9058976be806a822a4acd041a585b86309e247f5c27fa535","observation_id":"5d4a8fbf-d618-4345-ae22-abe3040d2609","resolution":{"observed_at":"2026-08-14T13:17:10.617638Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.894516Z","title":"Holmbom : Homogenization of parabolic equations: an alternative ap- proach and some corrector-type results","venue":null,"work_id":"02db082b-977a-412e-8dac-508dff907d5d","year":1997},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.525329Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:8bbb14f13d5419bfdfe23554db6b33fc4d487becf40d7f9d83b0fae1c39bf4c6","observation_id":"b3f81630-ba2a-4e1b-8aa8-0e2e76cd9359","resolution":{"observed_at":"2026-08-14T13:17:11.899675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2018.0350","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.229389Z","title":"Johnsen, T","venue":null,"work_id":"4106fd49-26e2-40c5-8bb6-011c04b46e42","year":2018},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.533260Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:951d7733aa7b017af0bf2d37d2453465c6422445840d6fc300a5b3bd01ab7973","observation_id":"93a88dcb-065e-4e72-bbb3-a8263ac77699","resolution":{"observed_at":"2026-08-14T13:17:11.236790Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10255-019-0810-1","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:10.597489Z","title":"Lobkova : Homogenization of linear parabolic equations with a certain resonant matching between rapid spatial and temporal oscillations in peri- odically perforated domains","venue":null,"work_id":"1d400efe-bc4c-49e3-a97d-c7ed817da557","year":2019},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.537177Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:5ff13287aa9f2ca7afa2aae4c58b4f87fa709b22793b323023894d99c846f0e5","observation_id":"9416f8c4-417d-49b6-924f-c9f4659f3be5","resolution":{"observed_at":"2026-08-14T13:17:10.603952Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1061.35015","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.152468Z","title":"Lukkassen, G","venue":null,"work_id":"44476e9f-9aeb-4f97-b05d-d8b671f8509e","year":2002},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.541681Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:38e9aafd3202d8f940ad1376dd5c274ee55cd7ef6a58191f8d3edefcfd5a4283","observation_id":"bacf7d1b-316f-4e6f-91fe-446b893ad52f","resolution":{"observed_at":"2026-08-14T13:17:11.161964Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0688.35007","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.083047Z","title":"Nguetseng : A general convergence result for a functional related to the theory of homogenization","venue":null,"work_id":"b3f3448e-7d3e-4fd5-9c57-c4fa728d5e0f","year":1989},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.546464Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:3637d48e9a09e1e2906ef4d849573b0ad6d10309e55eeecb6aabe6b27487bca0","observation_id":"af36d8d3-9e6a-4951-9cd1-1567d20228a3","resolution":{"observed_at":"2026-08-14T13:17:11.091374Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0723.73011","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.012834Z","title":"Nguetseng : Asymptotic analysis for a stiff variational problem arising in mechanics","venue":null,"work_id":"48c627f1-5e56-4b29-8627-2337a14d1b50","year":1990},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.550415Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:8e2b4c9fe4a63919c0861b700c0d3c0bc50c1f58e7d6536bdd64399bfc5371dd","observation_id":"84367814-0d74-4d9f-b8d5-390314a35bd2","resolution":{"observed_at":"2026-08-14T13:17:11.020653Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1116.35011","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:10.933025Z","title":"Nguetseng, J","venue":null,"work_id":"b3736a6f-f8b9-4846-8db1-521410764149","year":2007},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.554859Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:dcbfe90d030f08519e97bc7d17e33b91239b53a9664bb204c23028b21ef35207","observation_id":"4f523727-1fd2-41ef-9719-808830c3f2f7","resolution":{"observed_at":"2026-08-14T13:17:10.940014Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.881371Z","title":"Persson : Selected Topics in Homogenization","venue":null,"work_id":"6091ac55-17b3-4642-9b46-f7a6400362a1","year":2012},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.559274Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:31253820238b05ee0d546651ca85f4d3d5f00882ab5bed7aa49e340a11b25d3b","observation_id":"efb45312-d3da-486d-a9ca-10c76b0d6e27","resolution":{"observed_at":"2026-08-14T13:17:11.885927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1265.35018","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:10.857840Z","title":"Persson : Homogenization of monotone parabolic problems with sev- eral temporal scales","venue":null,"work_id":"e114326d-5fbf-40fe-b9a3-950455cfa21a","year":2012},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.563528Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:d05b79f605e49a9601b80cd0fdb08a021d33f9fd4c82250169e3c2c7b0179e24","observation_id":"2b86d246-6f47-4ae2-b623-c56d80a08e32","resolution":{"observed_at":"2026-08-14T13:17:10.864257Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:10.567411Z","title":"Svanstedt, J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.567411Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:04d8c65e144ff0fd87129bdf16dc93dc78ebf33a9f74acac6996c5f69050a747","observation_id":"b68d919f-7dde-4ae5-86b5-0378a028dd1f","resolution":{"observed_at":"2026-08-14T13:17:10.567411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0684.47028","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:10.711976Z","title":"Zeidler : Nonlinear functional analysis and its applications II/A: linear monotone operators","venue":null,"work_id":"85e70bd5-6496-4aff-889e-05742f711ac8","year":1990},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.570902Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:285650adff7a0c6e0f8caba7cb1eeea574d9a7f95d513fb6a6e0b664c33c590d","observation_id":"ba0ee18d-4fc7-4928-99d5-779f912708af","resolution":{"observed_at":"2026-08-14T13:17:10.720435Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0898.35008","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:17:11.292042Z","title":null,"venue":null,"work_id":"a12ee040-dfc6-433d-94e3-787fb38b958c","year":null},"citing_paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales","version":1},"reference_index":343,"source":"pdf_text","source_observed_at":"2026-08-14T13:17:10.529266Z"},"links":{"citing_paper":"/paper/1908.05892"},"observation_digest":"sha256:770e44c6f8131699eaaed0d763e528496c56aa3e32d73fd1391cf8325f275e55","observation_id":"44af7cc3-f133-4bb9-a42e-091e543218c2","resolution":{"observed_at":"2026-08-14T13:17:11.301375Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05892","last_updated":"2019-08-16T08:55:23Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T11:14:17.244092Z","submitted_at":"2019-08-16T08:55:23Z","title":"Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":17,"verified_fuzzy":4},"total_outbound_references":23},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.05892."}