{"as_of":"2026-08-08T02:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:336bd3106e45b7e27558af5fdc7db51e8c7669b1e9d646efdf3c37365e9091a1","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:53:48.414913Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.06875/citation-record","integrity":"/paper/2506.06875/integrity","json":"/paper/2506.06875/citation-record.json","paper":"/paper/2506.06875"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:07.199332Z","title":"Abdellaoui, A","venue":null,"work_id":"1925d9d1-516c-4610-b361-e0202f19dd57","year":2018},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:38.371435Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:41b7e6692f353bcfad857924ba625e8a961940cb588965b03b0c5c82fd1b7be8","observation_id":"362c9ce9-412e-41f2-bcb3-cc1c2b15a82d","resolution":{"observed_at":"2026-08-07T05:54:07.275816Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:07.041397Z","title":"Abdellaoui, S","venue":null,"work_id":"a4791393-1dd6-4c80-af1f-3ae9f7cd5a4f","year":2024},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:38.452994Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:01e61673ecba1e3a7936bd6c4dfd3bd4a80929084b50d2fbb5b6ea06c7afde8b","observation_id":"4b0310a8-fe1c-49fd-9f1f-afb04973c06e","resolution":{"observed_at":"2026-08-07T05:54:07.104118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:06.867856Z","title":"Abdellaoui, A","venue":null,"work_id":"747cf1db-0cab-4488-a6ab-3b24e50601b2","year":2020},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:38.586704Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:a8ed63b07dd6e35fbb0bf7ff3dfee673cf76ad99e3302584d052d9ec8b7a661e","observation_id":"cc1e9339-84c4-4744-8640-6aa80d7253c7","resolution":{"observed_at":"2026-08-07T05:54:06.945682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s021919972550004x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:48.666872Z","title":"Abdellaoui, A.J","venue":null,"work_id":"ba57d876-3066-4013-8898-468bfac8c5d2","year":null},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:38.747108Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:92a4aa7f51b4b1fb495681be13547e4014cad8650940090769fea8be07c3c3a1","observation_id":"47dac42a-7721-4c8d-bee4-85f5aa8c16c9","resolution":{"observed_at":"2026-08-07T05:53:48.782230Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:06.571792Z","title":"Abdellaoui, A.J","venue":null,"work_id":"0b27ae71-c3bd-4c8a-8900-cfe7ba606910","year":2022},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:38.891518Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:a534f4ca2c57b8234b04cce83bb75fcfe43228fcecacb7568b41d20a479e6b09","observation_id":"08068903-b8fb-4426-93e0-02c59adf1ae3","resolution":{"observed_at":"2026-08-07T05:54:06.736037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:06.369142Z","title":"Abdellaoui, P","venue":null,"work_id":"062eba05-1b8e-4785-8e37-d8d03ea5a860","year":2021},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:38.932288Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:fb5801b83e6143d0cc122d4eccbf33cad210f55e64cb13239303de4cfe819eb8","observation_id":"d4924862-cd62-4877-8689-f1f33a4f7fdf","resolution":{"observed_at":"2026-08-07T05:54:06.452947Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:06.139749Z","title":"Abdellaoui, I","venue":null,"work_id":"027d9ab7-cc90-49fb-b6e8-0848a3cfe702","year":2018},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:38.994179Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:55d4bc30b829be749acee302084dc39e3df8758d6e65acaceb0047283d32b0cd","observation_id":"f25c1f5e-3cb8-4100-b5f9-22adcb502c8e","resolution":{"observed_at":"2026-08-07T05:54:06.231355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:05.949156Z","title":"Abdellaoui, I","venue":null,"work_id":"3b18164e-f657-4075-bd67-32258aa5e67b","year":2022},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:39.155991Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:b001bc204b6ace9fd3a73e5b9c8644a3ab6b1934c214b56b190390c60abc84f6","observation_id":"3cdcded5-c770-4e90-9427-6b441fc615d0","resolution":{"observed_at":"2026-08-07T05:54:06.047725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:05.810912Z","title":"Abels, G","venue":null,"work_id":"4aec806e-3530-4b7b-adb7-21cfd3817a2e","year":2025},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:39.321088Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:a950d66ece29641a1483ac84a22cc3d6b03b4e5d4c2af9eaa891fbb0bdfbcaba","observation_id":"2e3556f5-0a61-4a7e-8990-2c771bcd4a22","resolution":{"observed_at":"2026-08-07T05:54:05.886700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:05.590176Z","title":"Adams :Sobolev spaces","venue":null,"work_id":"9f1741fa-0fd2-463f-a27b-5f9d8d8ae7b6","year":1975},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:39.521132Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:5e9695344780f61aad8294d4e3047e8491c43069864ac253eff033aaf2a1c7bc","observation_id":"2e70ac70-02d9-4a2a-b0f7-5bb72841e3aa","resolution":{"observed_at":"2026-08-07T05:54:05.741343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:05.303130Z","title":"Adams, L.I","venue":null,"work_id":"db2ac65b-03c3-488b-91ee-475e91174414","year":1996},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:39.658037Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:ee62d908809f530e76ecf4c619dae05cefb5c4a329cddb503a36a6e318cfcf0d","observation_id":"1234a8dc-a48f-4c4c-823b-c627961ee340","resolution":{"observed_at":"2026-08-07T05:54:05.429130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:04.992283Z","title":"Bonforte, Y","venue":null,"work_id":"f4422675-c1ab-467b-8087-4d589717b113","year":2017},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:39.933365Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:7e9327f1d19b059ba4f93da8e365309d6a5d7878b19777b1df19ca9e46c995bd","observation_id":"85018cab-5e78-4f30-aa40-9f8d2ddc5fe5","resolution":{"observed_at":"2026-08-07T05:54:05.128817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:04.617189Z","title":"Biccari, M","venue":null,"work_id":"f5d6ab43-bc6d-4328-9f4d-984ea833d4e1","year":null},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:40.151310Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:064fcbeb7a8212b94a623342c29abf6e1f0f585d096530b2cbceb96921bac0c6","observation_id":"3adbb800-c211-4596-8ff5-70dbbbeab15d","resolution":{"observed_at":"2026-08-07T05:54:04.774693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:04.233349Z","title":"Biccari, M","venue":null,"work_id":"b5cba011-5830-429a-a8bf-f528818e3b0f","year":2018},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:40.339967Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:aa60b33037e402ab07ffd3c05035fd55d059873f269f68699adfee0e849a83d0","observation_id":"fd739691-c4a8-4d65-920e-87dc24d59a13","resolution":{"observed_at":"2026-08-07T05:54:04.382397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:03.853710Z","title":"Bogdan, T","venue":null,"work_id":"3d5eec17-71d9-446c-8e5a-a8a6028db83c","year":1999},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:40.502725Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:9a18baccadcd1480155b58c1ad9d0dd907961d7e219e87513e2725e89235ebb5","observation_id":"fd0b60c1-d8bc-4dea-9c06-ec550fbc3040","resolution":{"observed_at":"2026-08-07T05:54:04.008977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:03.424157Z","title":"Bogdan, T","venue":null,"work_id":"6a0e98bd-be0d-4bef-8d55-68a8225fc278","year":2007},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:40.643525Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:61b173eaf7cfc141f061267cd0370403b50f812fec33e6a33dae6940efe0967d","observation_id":"c5067d9d-9913-493d-846d-fc6050bc1214","resolution":{"observed_at":"2026-08-07T05:54:03.623913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:03.116785Z","title":"Bogdan, T","venue":null,"work_id":"d56b06d4-a305-4d71-b970-c7aac59e4af1","year":2008},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:40.801591Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:b06dbdb5b0c173aac860f101e90fedadcc193c4f5f7f2eadbd6dcb11d8e23e8b","observation_id":"5ff86aef-470f-4a52-9b36-3e2885b5bbe7","resolution":{"observed_at":"2026-08-07T05:54:03.260650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:02.819598Z","title":"Bogdan, T","venue":null,"work_id":"159b425a-2a38-4caa-9a40-3db528a2ffb1","year":2002},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:41.002837Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:e0c66d1469cf6a44203c8e1aa8374f4688d3ef09f583482b811332213fc1272f","observation_id":"6f4fbb47-709e-418e-9ea1-a8a500bf0471","resolution":{"observed_at":"2026-08-07T05:54:02.967275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:02.514872Z","title":"Bucur, E","venue":null,"work_id":"c593eaf8-eed0-4ff2-8f04-4f767cb32237","year":2016},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:41.224130Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:c12d145d565f04e527ea56f7edf11e24843849c423758e301eeb215337fa95cf","observation_id":"2fbc413a-44ea-4772-8632-229ddc0e9d0e","resolution":{"observed_at":"2026-08-07T05:54:02.635732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:02.213557Z","title":null,"venue":null,"work_id":"b5689ed7-7d04-499b-bad5-67b9855f1940","year":2014},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:41.372560Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:bd61fdb415bc20f52c0dbf24046f521a7cf4064c3d30b13b30ef622679f7509b","observation_id":"d1b2139d-ba6e-47d3-a197-2d3c49ff9c6e","resolution":{"observed_at":"2026-08-07T05:54:02.350411Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:01.982065Z","title":null,"venue":null,"work_id":"4994a22b-60f5-4f27-b2af-933c88e211f9","year":2012},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:41.529587Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:ab6ee3e753d038638974ae7e9a84807e95f689030030a3c2719da705e9228e89","observation_id":"12434113-b0e2-40aa-b161-1556ffeea92a","resolution":{"observed_at":"2026-08-07T05:54:02.109196Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:01.764124Z","title":null,"venue":null,"work_id":"565f424c-df0a-4522-9507-b560416acb3a","year":2019},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:41.701343Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:fa7710270c19ea40f2c728cc5549839eeab65f917109d232722548d0613b39be","observation_id":"dd46d55c-e89a-4964-afff-c499d3daf51e","resolution":{"observed_at":"2026-08-07T05:54:01.876971Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:01.510819Z","title":null,"venue":null,"work_id":"5e38491a-d5ea-48bb-8ae5-87543ced00e8","year":2004},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:41.907565Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:61a71a1999f7a7c87457eeb6e231b58cee1ddc2e7d0e36257aefb20492d4fbe9","observation_id":"d3a9f957-e957-477e-a239-0f9f0fbd18e7","resolution":{"observed_at":"2026-08-07T05:54:01.613631Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:01.190387Z","title":"Corwin :The Kardar-Parisi-Zhang equation and universality class","venue":null,"work_id":"d7cd3d8b-c6c2-4841-9d3b-b2f354d6ee22","year":2012},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:42.129964Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:01c06e90e9374c2dc2eb0e746cafd69d5940a587560686f6d41790a0163d17fe","observation_id":"904f2fa4-ab98-48c8-901f-1fe5ad1407f9","resolution":{"observed_at":"2026-08-07T05:54:01.313074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:00.843295Z","title":"Daoud, E.H","venue":null,"work_id":"2dae5205-bc88-4bd8-aa42-0f3fc8ba3bbe","year":2022},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:42.314617Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:0327cf0ae6cc06c9a5ea073acb91228e641c5877a1829ebc682f35fbc433a1d6","observation_id":"70b633eb-f36d-4196-b7c0-61cd6cf09e41","resolution":{"observed_at":"2026-08-07T05:54:01.015959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:00.465334Z","title":"Di Nezza, G","venue":null,"work_id":"fbeefecc-af2d-420e-b632-814fc4659b47","year":2012},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:42.482248Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:4b6388b56e5f1313fd6f8e280c92a12e645d15d4417a8ccecad18d23679569ed","observation_id":"56124f0a-694a-41b3-b550-157a2667e886","resolution":{"observed_at":"2026-08-07T05:54:00.609114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:54:00.110189Z","title":"Dipierro, A","venue":null,"work_id":"47ba16c0-8f9f-4449-b066-dae952da5a0b","year":2014},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:42.684716Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:26630fe589047fc04c210cdc3311b0dea97b94c39a2cfa086b1e1c8742adf21b","observation_id":"b692f936-b394-4504-be7d-c640f79c79e6","resolution":{"observed_at":"2026-08-07T05:54:00.291413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:59.742165Z","title":"Edmunds, W.D","venue":null,"work_id":"364e45a1-9e11-47ba-95a4-6bbaa86f1bd4","year":2023},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:42.839570Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:384f2bdad7785175da59e7438e01ff75e3c2f9efcf2ec3f6291f1be83ce28fee","observation_id":"e6c16c56-0712-423b-97c8-4c92b3cdf3ee","resolution":{"observed_at":"2026-08-07T05:53:59.937602Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:59.431662Z","title":"Edmunds, R","venue":null,"work_id":"1d871a5f-d76a-42e9-93e6-304b54a707c8","year":2014},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:42.988491Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:824304709d3c9e601221ac672235316314deb80370da20f6a87d4a3b444f91da","observation_id":"1aca1c59-4c65-45a2-bfd1-d63cdadf0e86","resolution":{"observed_at":"2026-08-07T05:53:59.586896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:59.126773Z","title":"Felsinger, M","venue":null,"work_id":"f0f992d8-c6bc-4eae-b32f-ca58dd7b15af","year":2013},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:43.130959Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:0b91389b1312cb116f8190c677b167d4eea3425aefe9e6c9c9f4d7edf64509f2","observation_id":"92a59f0a-8507-4e82-b7dd-c8ff50dd8c6b","resolution":{"observed_at":"2026-08-07T05:53:59.285405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:58.766029Z","title":"Fernandez-Real, X","venue":null,"work_id":"6e06356b-36a7-4df0-93fa-33789a37f7a1","year":2016},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:43.266118Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:58e1af1870f5eef0e2124fa1ca4979acf37f9b410085901ea26494433dc8c946","observation_id":"a8856a0f-e54b-4df8-9b61-33045c14dfeb","resolution":{"observed_at":"2026-08-07T05:53:58.913242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:58.480597Z","title":"Gilboa, S","venue":null,"work_id":"9ba50471-e76a-4613-a9c5-48f786fa4240","year":2008},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:43.462655Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:2eb1f37c8268c591004d40965061a9dca098c8fd50e2f775d513805a7f9adf81","observation_id":"8c512e4f-15d0-4e3b-af6f-c3090aecc799","resolution":{"observed_at":"2026-08-07T05:53:58.622332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:58.179302Z","title":"Grubb:Fractional Laplacians on domains, a development of H¨ ormander’s theory ofµ-transmission pseudodifferential operators","venue":null,"work_id":"caf69875-7c1a-41df-9f89-00d0ee249762","year":2015},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:43.613526Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:a0f1b3efd52800b6916e1648b5734272a16fdb0a8d6ff123d314caf2ab7d7feb","observation_id":"18486c58-1d36-432a-8dfa-8cac8fffec4f","resolution":{"observed_at":"2026-08-07T05:53:58.348370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:57.822687Z","title":"Grubb :Regularity inL p Sobolev espace of solution to the fractional heat equation.J","venue":null,"work_id":"a840f678-8458-414a-af6f-78725eb5fe4d","year":2018},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:43.761399Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:240d2dcc4e12ebd7af04f0c6af1356aebe187d3b9208187732020eebce1ab950","observation_id":"80b0ae02-2ce1-45a6-bafa-94a1b94d41bd","resolution":{"observed_at":"2026-08-07T05:53:58.009808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:57.526860Z","title":"Gu, P.-L","venue":null,"work_id":"e7b3db51-34dd-4de1-9285-483cf37f2e6c","year":2021},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:43.924965Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:05da22d6742ddbd1d26cf23ca276ad500ccd23b3901e8e09e2ae9354e34e8ef1","observation_id":"f8be78e1-de0e-4b62-8970-1a08f59ee1f7","resolution":{"observed_at":"2026-08-07T05:53:57.669881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:57.163006Z","title":"Hairer :Solving the KPZ equation","venue":null,"work_id":"196e69ac-51ca-468d-b19a-4b033586b885","year":2013},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:44.141069Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:f1c8374e93e827fbe14e9b9512811e60442c7c4fd624cd9f3b8930739e36372b","observation_id":"65db3f8b-2fc4-4ad5-89c3-2d7cd79f46eb","resolution":{"observed_at":"2026-08-07T05:53:57.377556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:56.789724Z","title":"Jakubowski, K","venue":null,"work_id":"2f66134d-3428-473b-9124-90076cbadbce","year":2010},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:44.310317Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:98aaf30a4cdf8d8eb6311ab2c8a07fd0db8a9def7958c3286d92c742627b70a7","observation_id":"0076d6e6-261c-43dd-b577-bd23b4e335bb","resolution":{"observed_at":"2026-08-07T05:53:56.989089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:56.486197Z","title":"Jarohs, A","venue":null,"work_id":"2e1fd867-2f41-43bf-a3cf-cc0eacd0c6e9","year":2020},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:44.512572Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:41a66d16f24264f5a99b371d0eac7b2b430467416166d411e024b7d191451e20","observation_id":"3ee295e2-f572-4342-aacb-ca53916c0f52","resolution":{"observed_at":"2026-08-07T05:53:56.632985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:56.203225Z","title":"Karch, W.A","venue":null,"work_id":"146a11ec-c3f3-46d6-9ea3-fb855bd6ad20","year":2008},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:44.654819Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:86473ef7786ff18e483584da0a5efe6e8dc8edc6306a129b64bd59024ec5b7df","observation_id":"21422a73-95b3-492c-a52f-622046a636b1","resolution":{"observed_at":"2026-08-07T05:53:56.337049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:55.888102Z","title":"Kardar, G","venue":null,"work_id":"f79c3be5-2181-45b1-a246-64fe98e02624","year":1986},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:44.826886Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:2622a07826fe31b37e92c9734c0f18c63c38b052b8c13a2574b6d2bcb41bdf12","observation_id":"ef00953e-c9a7-4982-9ff7-0c294797a532","resolution":{"observed_at":"2026-08-07T05:53:56.052651Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:55.581051Z","title":"Katzav :Growing surfaces with anomalous diffusion: Results for the fractal Kardar-Parisi-Zhang equation.Phys","venue":null,"work_id":"ca71eb75-f0cd-4f5a-9139-83915ed01f0a","year":2003},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:45.004101Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:c6b0cc9028b4c54ee5d0e56132f60dc87271304faa2cf4b6d99fae3e79a5e672","observation_id":"65d5b945-8343-4433-8bb5-b18cda63370c","resolution":{"observed_at":"2026-08-07T05:53:55.731999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:55.269820Z","title":"Kellog :Direct observation of substitutional-atom trapping on a metal surface.Phys","venue":null,"work_id":"769a0627-0307-4fdb-a8ea-4f934e7393fd","year":1994},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:45.146716Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:fd37aad98f2bef0cae01be90928c1df55ea96ab5fda65bdc58a2c55233c7d73f","observation_id":"295ef188-9564-49a7-8853-86d566d18f16","resolution":{"observed_at":"2026-08-07T05:53:55.412096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:54.841826Z","title":null,"venue":null,"work_id":"db3451ac-12b6-4c2e-a4e0-d765b6236469","year":2014},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:45.303013Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:01124cbf204d8cc079af76d00219a1c0e92e0b439cae1bedb9732392349df1d0","observation_id":"8216e8cc-9883-4514-baeb-7ce977fcb16a","resolution":{"observed_at":"2026-08-07T05:53:55.062966Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:54.511946Z","title":"Kulczycki, M","venue":null,"work_id":"5eb514e2-5551-4e36-bed6-f55c056c1aa7","year":2016},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:45.507070Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:7f126e901d7c9b70b3699564fd74bf387ac91fa9c17f3068e5be6472872ac5cb","observation_id":"c4e8d7ab-924c-44e8-a0b7-e3b1af697cbf","resolution":{"observed_at":"2026-08-07T05:53:54.664581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:54.202537Z","title":"Kuusi, G","venue":null,"work_id":"84aefcbb-d8e8-43c5-8a22-537751890b54","year":2015},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:45.668431Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:530e2e74b2947cc421f452c46ad823a6cfe7bdf66bb31a130d173cf078403efa","observation_id":"0d83b987-0d04-4965-8fb6-9dd340f6ada0","resolution":{"observed_at":"2026-08-07T05:53:54.303189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:53.862570Z","title":"Leoni :A First Course in Fractional Sobolev Spaces.Graduate Studies in Mathematics","venue":null,"work_id":"8b16aa9b-8d96-4605-a0b8-a92039461bee","year":2023},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:45.827714Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:26877086918c50a70bf1e18163f06f1833b341f18dc52b15b022cf4776e42b4e","observation_id":"a2319a12-1297-44d4-8ec6-6d70881f4012","resolution":{"observed_at":"2026-08-07T05:53:54.053634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:53.528849Z","title":"Leonori, I","venue":null,"work_id":"b73c4d4a-fc91-4645-84ca-28416be6bc10","year":2015},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:46.090692Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:2949df7fde7fac4fcf3ed2e35a5fbf5e4d04123cb4b611aa5dc73de60bf5d418","observation_id":"28160219-2511-477d-a4e0-59b21b2d61f5","resolution":{"observed_at":"2026-08-07T05:53:53.676984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:53.102676Z","title":null,"venue":null,"work_id":"92bacf35-b2e2-4d3b-876c-478e4c8c2202","year":2010},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:46.260188Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:086fdb7ab56b859a6e68f4fde0b5d557a8b1ae7e0521ce0a65e5420ab308ae75","observation_id":"e3dc5faf-ee2f-4f7c-97f4-21be3cc41dfc","resolution":{"observed_at":"2026-08-07T05:53:53.318411Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:52.831329Z","title":"Mann, W.A","venue":null,"work_id":"159becb9-a64d-4c62-a750-7bf760e1bee5","year":2001},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:46.452887Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:c6a33339828fb3cde24f24d7245bafcee3ca1b0490acf073f058578e6c26e9ea","observation_id":"fe42eb76-a204-4c27-b48f-e4fcac099540","resolution":{"observed_at":"2026-08-07T05:53:52.947309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:52.474420Z","title":"Molica Bisci, V.D","venue":null,"work_id":"344a8d44-ef69-430c-a573-acaf98da6d78","year":2016},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:46.603479Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:558e53f90c2888ee37adcedd8afafb0a2507f8139e987841397a18e0ad6aa9d8","observation_id":"53a89397-148f-4216-a6aa-0ffd336271fa","resolution":{"observed_at":"2026-08-07T05:53:52.700319Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:52.146894Z","title":"Nowak :H s,p regularity theory for a class of nonlocal elliptic equations.Nonlinear Anal., 195:111730,28,2020","venue":null,"work_id":"245b4777-149a-4df8-bfef-8fc6dcebc295","year":2020},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:46.764878Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:2325b247da23cf8ca09d31c0ff45d59f71aa611f6af13656fbbb5bed0003055f","observation_id":"0bc91773-13c4-4972-81a6-f2e3e99bac23","resolution":{"observed_at":"2026-08-07T05:53:52.331365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:51.745444Z","title":"Ponce :Elliptic PDEs: measures and capacities","venue":null,"work_id":"6e40fd4c-b006-41f2-8f2a-c991b1896557","year":2016},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:46.917141Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:f2f81d45fb90d12f528259af330858774161ed4d3b1d5fcd6ddf37b6f2bec9ca","observation_id":"0775ac46-5c73-48ce-85f8-cd9fcf540415","resolution":{"observed_at":"2026-08-07T05:53:51.964610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:51.434574Z","title":"Riesz :Int´ egrales de Riemann–Liouville et potentiels,Acta Sci","venue":null,"work_id":"15a603ef-9d8b-400b-a4c4-35da6669cdab","year":1938},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:47.279538Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:993729b8da0770d263215f8c30aeba01ea013f6c555ee8253ab37bd55bb04c9b","observation_id":"ed9fba3e-dc8a-494a-b53a-39d3cefd05c8","resolution":{"observed_at":"2026-08-07T05:53:51.578346Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:51.067497Z","title":null,"venue":null,"work_id":"6fec8ac6-96f4-43d5-8b38-7e8381e9f421","year":2011},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:47.386976Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:af98665603935d096d94a6838b0583508cc7cf629ead67c25506c4d0378f0e6e","observation_id":"cd9b399b-efeb-4f9d-848f-35d65d54cdd6","resolution":{"observed_at":"2026-08-07T05:53:51.210253Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:50.623294Z","title":"Schikorra :Integro-differential harmonic maps into spheres","venue":null,"work_id":"26d5598c-c1e3-409d-900b-94a09dd38917","year":2015},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:47.536098Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:7ed0a8cd6c8da6b5f7396a5b3a1881f934884a727b2e7097c6b114c3da460ef6","observation_id":"82659989-ccc4-4a58-bfd5-ae9ea8a3d7c3","resolution":{"observed_at":"2026-08-07T05:53:50.852408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:50.271095Z","title":"Shieh, D","venue":null,"work_id":"f4406dfc-a483-4629-a8a5-9dde8ed8cec1","year":2014},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:47.682372Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:d34206bdac157269006c8cfc12659b79e3b90ea63483c4201752f87644c54a9a","observation_id":"d08181df-12d2-4184-889e-e7bb40590982","resolution":{"observed_at":"2026-08-07T05:53:50.420041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:49.971571Z","title":null,"venue":null,"work_id":"dc982aef-df51-4103-99eb-99fbba839961","year":1961},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:47.839030Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:8937356b4149e8e5cdb4887ce693b73974f3449158ec1fdb19e9eaabce495e49","observation_id":"567d71b2-52d5-4a1d-805a-8725097c6b16","resolution":{"observed_at":"2026-08-07T05:53:50.134157Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:49.623599Z","title":null,"venue":null,"work_id":"ee4aa780-c070-454e-b207-ae46f82f8e0a","year":1970},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:47.983892Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:213314e5b4a7974dd30145c0dac42f3ca9fe617e9ead880dc307ef4ef89b3e4f","observation_id":"c5468d6f-7a20-4a19-aabf-77ca02d84f4a","resolution":{"observed_at":"2026-08-07T05:53:49.774534Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:49.292754Z","title":null,"venue":null,"work_id":"ba188577-d903-4ccc-98bf-ea74fbb0ee2e","year":1998},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:48.204886Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:c7fefc6b0636a9ccfbb217e1570ca1f140b755c8a59c71b1bde8800e0be63294","observation_id":"8db4db73-a93f-4ef4-aded-7ee4a9005550","resolution":{"observed_at":"2026-08-07T05:53:49.428307Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:53:48.958864Z","title":"Younes1, K","venue":null,"work_id":"428a28be-567a-4dae-bc47-c7da7e2fe34f","year":2024},"citing_paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T05:53:48.414913Z"},"links":{"citing_paper":"/paper/2506.06875"},"observation_digest":"sha256:9aa285fd5b416482b0786d3aa1f126e8eb2f42f90419fdfdc836e10409bf69bb","observation_id":"77e2685e-2100-46a3-ab8a-698e11c5bb8e","resolution":{"observed_at":"2026-08-07T05:53:49.122457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.06875","last_updated":"2025-06-07T17:45:00Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T05:44:48.552801Z","submitted_at":"2025-06-07T17:45:00Z","title":"Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":49},"total_outbound_references":60},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2506.06875."}