{"as_of":"2026-08-16T10:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:318135bbf60f7e8e901a1f7f49cc4d230ccf3ce27261c7b0e01ee2f6d9346442","coverage":[{"denominator":45,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":45,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:16:44.164244Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"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/1908.07895/citation-record","integrity":"/paper/1908.07895/integrity","json":"/paper/1908.07895/citation-record.json","paper":"/paper/1908.07895"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:16:44.626672Z","title":"Adams and L","venue":null,"work_id":"c5016030-415d-44a3-9433-230fa332d3e8","year":1996},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.018582Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:47b5f252a536191f41df168e59d459e1099c6deab541959d48bc680ef26e1485","observation_id":"9ef7bdc7-7ab7-45de-a376-84b9dff9f19a","resolution":{"observed_at":"2026-08-14T12:16:44.629733Z","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":"2026-08-14T12:16:44.617729Z","title":"Aimar, A","venue":null,"work_id":"c962eef4-5052-4347-a630-64f39fca1bf9","year":2005},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.022692Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:7631932f3a43f1c6739e554d0f1215e8d6e984ee12886ffe7d7ea90d5ad2a68c","observation_id":"53d23b63-0b45-4ea9-8cfb-128287e88263","resolution":{"observed_at":"2026-08-14T12:16:44.621156Z","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":"2026-08-14T12:16:44.608428Z","title":"Ambrosio, N","venue":null,"work_id":"bdf9a2f9-5ac1-433a-8e23-0d71521d5385","year":2014},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.025945Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:193862b36d22085006bb95238b6934ee8269d3a428ed20c0b3238d99cb41b91e","observation_id":"8c0c415d-4763-4b03-a5c0-cbc0ff0ee35c","resolution":{"observed_at":"2026-08-14T12:16:44.611621Z","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":"2026-08-14T12:16:44.599317Z","title":"Capogna and N","venue":null,"work_id":"8930fdef-b4ca-45d7-b57d-7f0c8ec686bc","year":2006},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.030103Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:c7740874c4066621dbe672ad267e26f53fd7660a77c5d6311b2fb92a78a64f0e","observation_id":"e7889e84-8ca4-4bec-8383-1c501f335bbe","resolution":{"observed_at":"2026-08-14T12:16:44.602316Z","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":"2026-08-14T12:16:44.588012Z","title":"Chang and J","venue":null,"work_id":"894d00a0-7829-481f-a765-701d516c95b3","year":2015},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.033732Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:eb112446d46681b2cffbce668295428ba7a188789b38ef704c4212ceed8ee866","observation_id":"e3c8e152-0b5e-4811-8451-b87960c4b4c6","resolution":{"observed_at":"2026-08-14T12:16:44.592231Z","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":"2026-08-14T12:16:44.578678Z","title":"Cheeger, Diﬀerentiability of Lipschitz functions on metric measure spaces, GAF A 9:3 (1999), 428-517","venue":null,"work_id":"deedbf8d-3844-4ffa-bfc6-bce1d3f2d92b","year":1999},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.037147Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:dfde00f75cf2530bc6c571dc6c354eed2ae22193b0ee69e39b535b27bbf6013f","observation_id":"becf2611-e89a-467b-b64a-1f1cf806ab75","resolution":{"observed_at":"2026-08-14T12:16:44.581983Z","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":{"arxiv_id":"nlin/0511066","last_updated":"2005-11-30T05:29:03Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2005-11-30T05:29:03Z","title":"Fractional and fractal derivatives modeling of turbulence","version":1},"cited_work":{"arxiv_id":"nlin/0511066","doi":null,"metadata_source":"pith","pith_arxiv_id":"nlin/0511066","snapshot_observed_at":"2026-08-14T12:16:44.193190Z","title":"Fractional and fractal derivatives modeling of turbulence","venue":"nlin.CD","work_id":"2550fe6e-9856-4e90-8ccc-becaeffb97e6","year":2005},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.040616Z"},"links":{"cited_paper":"/paper/nlin/0511066","citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:9aa07f224ce379246a5ac04433397180ffc3a35e5f2c9ced0fbe5ff88c73f44d","observation_id":"ed334b37-2b25-435f-aa7c-d9e5879d1942","resolution":{"observed_at":"2026-08-14T12:16:44.199671Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:16:44.568011Z","title":"Christ, A T (b) theorem with remarks on analytic capacity and the Cauchy in tegral, Colloq","venue":null,"work_id":"2757f9db-f4bb-4cd6-83b1-7ac7f7969239","year":1990},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.044124Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:339d68a5fa1e495329d14f0e678371502da378c7d903dbd86525710e7cb775f8","observation_id":"7fba5b26-0834-489f-a254-2a8efef9aa70","resolution":{"observed_at":"2026-08-14T12:16:44.571908Z","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":"2026-08-14T12:16:44.557723Z","title":"Constantin, Geometric statistics in turbulence, SIA M Rev","venue":null,"work_id":"d6d23e49-3669-491d-bcb1-2b7a437a80de","year":1994},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.046868Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:45f730c92e519e54692d03b2e075104d558bc8428f1981933131d037d5988a5f","observation_id":"77d24b1d-608e-43f4-833b-b2d9233b21f9","resolution":{"observed_at":"2026-08-14T12:16:44.562143Z","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":"2026-08-14T12:16:44.547603Z","title":"Coifman and G","venue":null,"work_id":"c00c676c-7ac1-4fd5-97fd-511382ea926e","year":1971},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.049519Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:7a95c733fc88199357cddcd1df0f1e78f8a17408d32b10de5acaca7ccc1f3e6c","observation_id":"ebeeed3e-1cbf-4852-aafb-c5a184552404","resolution":{"observed_at":"2026-08-14T12:16:44.552058Z","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":"2026-08-14T12:16:44.538260Z","title":"Dziuba´ nski, G","venue":null,"work_id":"974587ec-9200-4335-9915-d42c018984e5","year":2005},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.052275Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:9fba6155b0ab01dd20435b93aa7264d26e8f73321ad3043a549114a9050adadb","observation_id":"19410ae9-e6e8-4724-9e68-f0037a2d60c0","resolution":{"observed_at":"2026-08-14T12:16:44.541570Z","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":"2026-08-14T12:16:44.528283Z","title":"Dziuba´ nski, Note on H 1 spaces related to degenerate Schr¨ odinger operators, Ill.J","venue":null,"work_id":"b12693b8-77b1-43a2-ae57-2a14b8ee1db1","year":2005},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.055934Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:3ddb2d54a85e85779d23c61ff43f932ae0893b15b14525acf0cd840270d72119","observation_id":"e49ed192-d20a-4ffc-8f39-3f3a3572fefd","resolution":{"observed_at":"2026-08-14T12:16:44.531890Z","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":"2026-08-14T12:16:44.515831Z","title":"Folland and E.M","venue":null,"work_id":"456a7f3f-f240-4955-8a54-56f6ec9a2ad8","year":1982},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.059974Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:a6f078a7d7a971153fcd75af24db431c96800124bd56c0af4ff5bf5fefdd675c","observation_id":"ee8f85dd-e2ce-4f0c-9fba-dd58a1969a63","resolution":{"observed_at":"2026-08-14T12:16:44.520812Z","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":"2026-08-14T12:16:44.505589Z","title":"Grigor’yan, Gaussian upper bounds for the heat kerne l on arbitrary manifolds, J","venue":null,"work_id":"8954f387-8e64-43ed-9c65-a9ce3918ed17","year":1997},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.063483Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:2a10c463bed7fae54e572551c187c9bb3331f87be696a97c7547ea7e05e16eab","observation_id":"2d720343-01bf-4f5c-99c1-3178d4009182","resolution":{"observed_at":"2026-08-14T12:16:44.509353Z","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":"2026-08-14T12:16:44.493998Z","title":"Grigor’yan, Heat kernels and function theory on metr ic measure spaces, Contemp","venue":null,"work_id":"a6570383-18cb-4309-a614-67d607ba8aa6","year":2002},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.066563Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:3ec856dfc2854bc7d8ffc360d0df95444636c81cc630ac158e21f8ff7bf6b869","observation_id":"501ddbc4-a5d2-4f2f-a62c-a4aa70568171","resolution":{"observed_at":"2026-08-14T12:16:44.498535Z","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":"2026-08-14T12:16:44.483773Z","title":"Grigor’yan, On stochastically complete manifolds, Engl","venue":null,"work_id":"305183d8-c9bb-4e6c-a6c1-c0c81dbd6a5b","year":1987},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.069803Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:bf7867b3bafb05a58204d6a432e0b23b9930d92c08644504b8e604cf06582842","observation_id":"90fcd6ef-620f-4e8a-b627-b8066a030a5b","resolution":{"observed_at":"2026-08-14T12:16:44.487477Z","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":"2026-08-14T12:16:44.474393Z","title":"Grigor’yan, Analytic and geometric background of re currence and non-explosion of the Brownian motion on Riemannian manifolds, Bull","venue":null,"work_id":"6b5d7a4d-f703-4a6d-8486-77ce00bb1f13","year":1999},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.073626Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:25993d40a239ff874f38e2092935fda3f09088eba677c1e05e287d396aff017b","observation_id":"75655edf-3570-41a3-9973-7b2e85b4ce05","resolution":{"observed_at":"2026-08-14T12:16:44.478100Z","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":"2026-08-14T12:16:44.463867Z","title":"Grigor’yan, E","venue":null,"work_id":"5003ee9b-a310-4d8c-aa58-09a34fa29bc7","year":2017},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.077072Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:96c1d6637bd38436af559f78eed9404986e4684b8fcddbe99ce4b16b8daa98a7","observation_id":"bc67c5e0-e6f3-4935-9400-c15e9b6e3b76","resolution":{"observed_at":"2026-08-14T12:16:44.468212Z","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":"2026-08-14T12:16:44.455304Z","title":"Grigor’yan, E","venue":null,"work_id":"7b57b6c3-04d7-483a-9beb-4318fb499d9b","year":2018},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.080419Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:db661bd5c62ea7dceed7e5a4afbb146827ec02df461fdd095b5cde455c319d2f","observation_id":"3c178f3c-dbb4-4151-b1fc-98705f6b39ce","resolution":{"observed_at":"2026-08-14T12:16:44.458586Z","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":"2026-08-14T12:16:44.446560Z","title":"Grigor’yan and J","venue":null,"work_id":"18e5c254-eec3-4a9f-83a9-7aad2aeb6a2f","year":2008},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.084748Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:0f0dcbdb6a15bf10b63e3ef4643ec74fc013aa35acc4695628d9b70c68a1f045","observation_id":"ac5afd4f-5617-4432-9499-37f5630e13b5","resolution":{"observed_at":"2026-08-14T12:16:44.449588Z","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":"2026-08-14T12:16:44.436707Z","title":"Grigor’yan, J","venue":null,"work_id":"b8897ac0-100f-484a-b189-99c57e02009e","year":2003},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.088474Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:f69371b81f265b909ba65fbb015a8bf47f50c71102f48d58aac888f8df5f8a9c","observation_id":"63b95612-ffe9-4e99-aa3a-e9c08701611a","resolution":{"observed_at":"2026-08-14T12:16:44.441202Z","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":"2026-08-14T12:16:44.427824Z","title":"Hebisch and L","venue":null,"work_id":"642e0d99-4597-4261-a787-52c9eb21b8b9","year":2001},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.091655Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:5e0b71e2d09e397fe2f818a50e86ee05e9a77f45f5d5d840e15e3512afceaa6e","observation_id":"19accf77-5b17-4a12-86f2-c560424e190e","resolution":{"observed_at":"2026-08-14T12:16:44.431131Z","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":"2026-08-14T12:16:44.418179Z","title":"Heinonen and P","venue":null,"work_id":"bb419ed3-0ed7-46f7-807a-df8ba42f59e1","year":1998},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.094248Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:9af7bed2a92b8be8439b3ea360d50e5d33f4c5862d90592cccfd205b9d780a84","observation_id":"c21aa0ac-3be1-42e0-bf5a-42c7e06fe81c","resolution":{"observed_at":"2026-08-14T12:16:44.421856Z","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":"2026-08-14T12:16:44.408621Z","title":"Heinonen, P","venue":null,"work_id":"ff2d4cb9-5130-4265-bc0c-c94d1e914188","year":2015},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.096918Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:403c30feb732ebf0272a2f85ad18a503e51bb89677419dfcd88fe8b2e28f34c9","observation_id":"dac38a36-0010-4131-8914-83e606c27013","resolution":{"observed_at":"2026-08-14T12:16:44.411797Z","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":"2026-08-14T12:16:44.399318Z","title":"Huang, P","venue":null,"work_id":"5e16ecbd-00ce-4d0e-8a38-62271af572ad","year":2016},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.099594Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:578524358627b2cd78a114fadf10f1c3fcf5e2465421be6e0cc159868677d533","observation_id":"d5da5de1-d75d-4f2c-95f3-4152b76399b4","resolution":{"observed_at":"2026-08-14T12:16:44.402954Z","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":"2026-08-14T12:16:44.390371Z","title":"Jespersen, R","venue":null,"work_id":"2a788cfe-d197-47be-852e-5d6478c94eb0","year":1999},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.102296Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:7b15ecf256169222798f59cd6adb0756de43f06f2c4ed73609f420e972ef31c4","observation_id":"87350ff4-84f4-4424-9166-09530d8b4d75","resolution":{"observed_at":"2026-08-14T12:16:44.393482Z","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":"2026-08-14T12:16:44.379359Z","title":"Jiang, J","venue":null,"work_id":"785529c0-889c-4b49-841e-e35684e3e54c","year":2015},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.104784Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:26fbafebc69498839eae578f4942566cdc37189cf52b5dc6455519eaf5304238","observation_id":"0729fbc7-880a-4509-8e0c-7e31c8e623bf","resolution":{"observed_at":"2026-08-14T12:16:44.384068Z","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":"2026-08-14T12:16:44.370057Z","title":"Li, Estimations Lp des op´ erateurs de Schr¨ odinger sur les groupes nilpotents , J","venue":null,"work_id":"79fd162e-94e7-4436-aaa7-4c1cd6bcb07e","year":1999},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.109074Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:7c3771f4f097edfd7840dad0ce60693820435d725ad198177e050c7a0a21f385","observation_id":"12df90f4-48df-4e7a-81e3-d93884caa5ab","resolution":{"observed_at":"2026-08-14T12:16:44.373450Z","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":"2026-08-14T12:16:44.361189Z","title":"Li and S","venue":null,"work_id":"65d28d92-8f46-46ab-872c-61e2a445502e","year":1986},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.112162Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:c99de3e9905c0241defcd040019b99aa133e01933f207f65a37311318f4e66a0","observation_id":"1a219f5e-172c-42d0-b025-93c55b087f12","resolution":{"observed_at":"2026-08-14T12:16:44.364203Z","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":"2026-08-14T12:16:44.351611Z","title":"Lin and H","venue":null,"work_id":"030c4614-7591-47d1-ab6e-453595443b51","year":2011},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.115103Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:2895cb4435f351031934b49b94e578873995f8cdee136e17d8e880dfa7946601","observation_id":"bb535ae8-ea22-442c-b229-0c9640f43c95","resolution":{"observed_at":"2026-08-14T12:16:44.354691Z","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":"2026-08-14T12:16:44.342200Z","title":"Lions, Quelques m´ ethodes de r´ esolution des probl` emes aux limites non lin´ eaires, Dunod/Gauthier","venue":null,"work_id":"a7a87b99-bfb0-4249-bad5-c5ce546b6d0c","year":1969},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.118302Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:eeb3198fc4f8db28d192528e9812115fac6250c0417f63fac568f9fe4bce7e1e","observation_id":"ccdb6dd2-a846-4f80-b777-801232dccccc","resolution":{"observed_at":"2026-08-14T12:16:44.345960Z","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":"2026-08-14T12:16:44.332693Z","title":null,"venue":null,"work_id":"5a4032e4-1cf1-4758-9102-2eaa8bce1ed2","year":2014},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.121380Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:b94a73b96e668347097d1864a0f4972e647c768f3b55bddf027faeda6e47cd8e","observation_id":"d6a86dab-5a01-44e8-94ae-43a989e63afe","resolution":{"observed_at":"2026-08-14T12:16:44.336184Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:16:44.323633Z","title":null,"venue":null,"work_id":"23a72f4d-1ae6-45ed-b469-941dfb995d4c","year":2012},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.124534Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:7eb9c5f0540d99ad376b5194eef313104e1bb8b53f47ee2a672de9882ce7e26d","observation_id":"d776dda1-7193-487a-a528-0380740b8426","resolution":{"observed_at":"2026-08-14T12:16:44.327037Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:16:44.314388Z","title":null,"venue":null,"work_id":"3b9a4d93-4981-4420-8b4d-7e85bddd9bb5","year":2008},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.128431Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:3e94b517318b50557b14a5f01ac77b31c653eecaa800c76b5b948374005b9fcd","observation_id":"7f158471-525e-4e8e-b60c-e69e83943658","resolution":{"observed_at":"2026-08-14T12:16:44.317474Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:16:44.305558Z","title":"Podlubny, Fractional Diﬀerential Equations, Acade mic Press, New York, NY, USA, 1999","venue":null,"work_id":"587b6a10-0033-4e6d-9f5e-59927f452290","year":1999},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.131635Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:b96faecd84effb644f9baf66efc0c657e2222bb3243fd455b937f7a2ab68140e","observation_id":"b68a2922-eddb-415d-82b5-1b10a0115f60","resolution":{"observed_at":"2026-08-14T12:16:44.309131Z","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":"2026-08-14T12:16:44.296603Z","title":"Saichev and G.M","venue":null,"work_id":"33715d6d-1bcc-44c2-8bf5-6fa9620a237e","year":1997},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.135328Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:255e1fb0e2177b111e1d9643c9c0dc12c85494bec246358f7eb96a4d323acb76","observation_id":"61dd7b5b-d7d9-4114-9761-32202c870fb9","resolution":{"observed_at":"2026-08-14T12:16:44.299761Z","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":"2026-08-14T12:16:44.287557Z","title":"Shen, Lp estimates for Schr¨ odinger operators with certain potentials, Ann","venue":null,"work_id":"148a870b-c4b9-4671-8c39-163b8c97bb09","year":1995},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.138373Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:40a17962e83a96e1d63554c480b85b9d28d3f0c647b1add6940421006d1ce186","observation_id":"e9c165c8-aa1d-483b-9674-cfc374639844","resolution":{"observed_at":"2026-08-14T12:16:44.291066Z","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":"2026-08-14T12:16:44.278109Z","title":"Shi and J","venue":null,"work_id":"f2994267-adfa-4e6e-a67d-2c3744b73505","year":2017},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.142090Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:af386813a70c50cc722a2100a3fc586cf264a3623b78039eb58aa47d47ce8198","observation_id":"0f615254-1fb9-4d0b-81b0-3a1b3492cf03","resolution":{"observed_at":"2026-08-14T12:16:44.281545Z","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":"2026-08-14T12:16:44.268649Z","title":"Sogge, Fourier integral operators in classical anal ysis, Cambridge University Press, 1993","venue":null,"work_id":"cbdf8e10-43f6-434b-9f9b-abb7185c431b","year":1993},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.145076Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:7fb395901f5596344e4d7f63e7548b254b177ca2beea4a31776dcce6562175f0","observation_id":"48e64fd0-4229-4f0d-985d-b35d74d7b491","resolution":{"observed_at":"2026-08-14T12:16:44.271931Z","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":"2026-08-14T12:16:44.258622Z","title":"Varopoulos, L","venue":null,"work_id":"f791d795-8939-4fb8-b0f9-e0930dc8a1f2","year":1992},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.148002Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:dc56822e91a7359473e7fa523e92017098cad56a128c973745a7bab0d8d245ea","observation_id":"4b1d03fc-b68b-48d4-897e-1a31d608ca7e","resolution":{"observed_at":"2026-08-14T12:16:44.261710Z","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":"2026-08-14T12:16:44.248099Z","title":"Yan and Da","venue":null,"work_id":"8dfd88a5-b8fe-4223-99f0-d291fb420d44","year":2007},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.151248Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:0ad8f5378229ff40a900f3d3a90236ba58d72582668f924720625079467a4bc1","observation_id":"86b6c79e-67c2-4fe5-b12c-8ddc01d5f38e","resolution":{"observed_at":"2026-08-14T12:16:44.252251Z","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":"2026-08-14T12:16:44.238178Z","title":"Yang, Some function spaces relative to Morrey-Camp anato spaces on metric spaces, Nagoya Math","venue":null,"work_id":"64ae1068-6ab9-4fb2-81dd-42467f290f3f","year":2005},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.154720Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:f4b6f97a35f679a101f852f89e1aa24f6268493fa6f819d73f28e091c9bb96b0","observation_id":"a7ed88f6-180b-400c-95d1-767a8305df29","resolution":{"observed_at":"2026-08-14T12:16:44.241866Z","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":"2026-08-14T12:16:44.228705Z","title":"Yang, Do","venue":null,"work_id":"adcff2ca-a5c8-4e85-8488-ca75a1697aa6","year":2017},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.157724Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:81896f9e9f77d3d370dcd10222d8ca3c18d922ae242033c54365933255bcfc84","observation_id":"38be545d-1b3f-427b-8664-accd42db6509","resolution":{"observed_at":"2026-08-14T12:16:44.232061Z","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":"2026-08-14T12:16:44.217351Z","title":"Yosida, Functional Analysis, Springer Press, Berli n, 1980","venue":null,"work_id":"0cd97cf1-425b-46e5-a17c-311937ac4a09","year":1980},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.161039Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:3654af85f35e3171b3f9266a3de972c63ae7e876ed69e30c8e3dce6e010430d1","observation_id":"97a332af-e977-4692-bbf5-f33f751daf60","resolution":{"observed_at":"2026-08-14T12:16:44.221634Z","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":"2026-08-14T12:16:44.206719Z","title":"Zhai, Strichartz type estimates for fractional heat equations, J","venue":null,"work_id":"8a3bd477-ea47-427a-86d3-1615d435d7c8","year":2009},"citing_paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T12:16:44.164244Z"},"links":{"citing_paper":"/paper/1908.07895"},"observation_digest":"sha256:f4e6540ea46c9112fdef6ea33e6e9b55a43264844e4e8b321019a7ccb9573001","observation_id":"3343ac5c-3bc2-4def-8da4-fd85f558860c","resolution":{"observed_at":"2026-08-14T12:16:44.210375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.07895","last_updated":"2019-08-21T14:33:35Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T11:51:48.241466Z","submitted_at":"2019-08-21T14:33:35Z","title":"Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations"},"reference_resolution":{"displayed":45,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":41},"total_outbound_references":45},"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 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:1908.07895."}