{"as_of":"2026-08-18T23:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7ce36ccb387c7789a8c2a7d686b9e494a31eef8df7c5d9b8d19ae3470d01e79b","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T13:43:31.055800Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T19:37:56.102099Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-05T19:37:56.724403Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"cited_work":{"arxiv_id":"2107.04364","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.04364","snapshot_observed_at":"2026-08-05T19:37:56.724403Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","venue":"math.AP","work_id":"b668b8fe-d24a-4a77-99fc-a97c313ab0b3","year":2021},"citing_paper":{"arxiv_id":"2508.12138","last_updated":"2025-08-16T19:12:34Z","snapshot_observed_at":"2026-08-05T19:37:55.103851Z","submitted_at":"2025-08-16T19:12:34Z","title":"Substituting Proof of Work in Blockchain with Training-Verified Collaborative Model Computation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T19:37:56.102099Z"},"links":{"cited_paper":"/paper/2107.04364","citing_paper":"/paper/2508.12138"},"observation_digest":"sha256:d53604247585fc534b495f9ad0ff69ce9ac266fe93a51f0ef0b97a1fdea73089","observation_id":"0b19c761-dc90-4c6e-813f-1599fa228f5d","resolution":{"observed_at":"2026-08-05T19:37:56.738305Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2107.04364/citation-record","integrity":"/paper/2107.04364/integrity","json":"/paper/2107.04364/citation-record.json","paper":"/paper/2107.04364"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and G´omez, I., Improvement of Besov regularity for solutions of the fractional Laplacian, Constr","venue":null,"work_id":"a87f504b-2ec8-42ed-a236-496ba90f153b","year":2015},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:f1706b8751846661ce334cfdd7792b3e7015b57189c461f9f18c5a6729f2ed64","observation_id":"559eb653-8049-40d1-900a-677ce70a7051","resolution":{"observed_at":"2026-05-24T13:44:32.848877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Ros-Oton, X., Global regularity for the free boundary in the obstacle problem for the fraction Laplacian, Amer","venue":null,"work_id":"1e69b729-51ce-493f-885a-ddda43df0907","year":2018},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:268a3dde777f79c6da0297e394c0161a9dae0aa5281b6d568f691e3bdce7cf6a","observation_id":"ed74b896-d376-4221-8e2a-fc546b22c86b","resolution":{"observed_at":"2026-05-24T13:44:32.844335Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Hansen, W., Potential theory.An analytic and probabilistic approach to balayage, Universitext, Springer, Berlin","venue":null,"work_id":"bac58931-b84f-4516-8597-02dcca1bc641","year":1986},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:8db133abb457f537a3d3d381eea75c9e171d2fe83bc37faeed4b2ed57a6be225","observation_id":"e26d1c7f-76e7-4d52-a045-dfa493bab2bc","resolution":{"observed_at":"2026-05-24T13:44:32.840606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"123 (1997), 4–80","venue":null,"work_id":"77a1f077-f09f-46ff-9709-087dd1e7fc95","year":1997},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:bb4451e5a4dbeb4134cfdfeffa50ae234059be6b07169c7c533583ab01fa2f6c","observation_id":"89245614-988c-4bd5-bc27-2236f0fbabe2","resolution":{"observed_at":"2026-05-24T13:44:32.836663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Kwa´snicki, M., Estimates and structure of α-harmonic functions, Probab","venue":null,"work_id":"5952f6cd-2684-4171-8403-94bf3d4642c1","year":2008},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:592babeb74d00c8059df3f48727c328fce378fee61b1b02f29ae1736245e5899","observation_id":"98f8619b-efb1-4a09-b6fe-d07c9bb68a0f","resolution":{"observed_at":"2026-05-24T13:44:32.831876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Sire, Y., Variational problems with free boundaries for the fractional Laplacian, J","venue":null,"work_id":"9ec9b48f-28bc-45ad-9746-c0e4fff0cd80","year":2010},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:0aa160a152c3e0cf58c290efac8ec245950ed054bc0dd2099280012d246fad93","observation_id":"79640c88-e9db-4b93-b9b2-10e88e0612ba","resolution":{"observed_at":"2026-05-24T13:44:32.823889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Silvestre, L., Regularity estimates for the solution and the free boundary of the obstacle problem for the fra ctional Lapla- cian, Invent","venue":null,"work_id":"52b1487a-7141-487e-8a61-f51013b3284c","year":2008},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:df9daa733cda0fd4e436e6d7515af329eb8fbdacf97e9dffbf7409355c2b218c","observation_id":"e1aea93d-9c99-4622-af43-1a53fde27013","resolution":{"observed_at":"2026-05-24T13:44:32.820468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Silvestre, L., An extension problem related to the frac- tional Laplacian, Comm","venue":null,"work_id":"7efb76f3-2c6e-49d0-a492-573fac706b01","year":2007},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:7bb4654c9e6939b8f48a520ef4225e9f1905e6fabd201aefe0233d418369d910","observation_id":"11ad89bd-99f5-434a-8e66-8a52ae8518d4","resolution":{"observed_at":"2026-05-24T13:44:32.812753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Mosco, U., Wiener criteria and energy decay for relaxed Dirichlet problems, Arch","venue":null,"work_id":"d3e279a8-72e9-4d7c-8ffa-ed958969af5e","year":1986},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:86b6a24dc8d4a40436ad47281054ab572d4a735163c006f8f45eb2194c89641c","observation_id":"161f12e7-906a-4685-b9b2-f7507d35a1f3","resolution":{"observed_at":"2026-05-24T13:44:32.942349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Mosco, U., Wiener’s criterion and Γ-convergence, Appl","venue":null,"work_id":"b9fee018-d614-42da-8ff4-cae740b8cbfd","year":1987},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:c017fb0e7b7847dab45b620521d2d0e1e685c7bb3c60fc97f219abecb3f45771","observation_id":"3ffbdb62-586d-4d65-97fb-7de6b9da70e5","resolution":{"observed_at":"2026-05-24T13:44:32.935039Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"25cf997b-5275-436b-bd44-9e85e3d1d5cc","year":2000},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:c89f82567001bd7d4d9dc1f8a4030e375c684a6d1c6fb4f94f4224b2e93f9c1c","observation_id":"0aa450ff-4892-4775-adc9-4ee2c1f98305","resolution":{"observed_at":"2026-05-24T13:44:32.930772Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"B., Jerison, D","venue":null,"work_id":"eb9633c0-c83d-4eb1-a5e3-f737a1660a22","year":1982},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:03acc70962fec39ad74b9531fd8f3d8de7600f9e4ad7bcba29cca27dfb75dd5d","observation_id":"f70ade0f-74c3-4c6d-b8c5-05e4f4c1e52f","resolution":{"observed_at":"2026-05-24T13:44:32.945874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"B., Kenig, C","venue":null,"work_id":"6197e634-6aa3-468d-b567-b35c849dd28f","year":1982},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:0a09caf39a0e41eea4f734d6bccfbc2be60d0874bf04b43e369948a2a1796fb3","observation_id":"fed12347-5d81-484c-b61a-0aa7ff0aa916","resolution":{"observed_at":"2026-05-24T13:44:32.925692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Voigt, P., The Dirichlet problem for nonlocal operators, Math","venue":null,"work_id":"6c5aec00-a356-4a37-9bf4-f0215e9d6165","year":2015},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:be92c848727881079c6722e60ea6caa928862cc9ae851666abd95bf9e37de800","observation_id":"153a90eb-5e98-466f-80f4-4e5b714ab94d","resolution":{"observed_at":"2026-05-24T13:44:32.921666Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e281b536-aed4-432b-a417-b97a90e2b602","year":1974},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:e47b3aabdad695b98182b4e524f731ded0fcc7b01b899c5ed843d2c43a2c1545","observation_id":"05562012-2484-498e-bf89-321cfe0de305","resolution":{"observed_at":"2026-05-24T13:44:32.915603Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Martio, O., Nonlinear Potential Theory of Degenerate Elliptic Equations, 2nd ed., Dover, Mineola, NY","venue":null,"work_id":"30692545-c2b8-4dfd-a8a9-44391f16677f","year":2006},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:55ff3c8efb0f7f8b066d0e0015298a2129c055d5369f1f5ee22f9334a4bcd4f2","observation_id":"9e8dc04b-cf82-4104-a7f8-3fe0caff236b","resolution":{"observed_at":"2026-05-24T13:44:32.804956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Jacob, N., On the Dirichlet problem for pseudodifferential op- erators generating Feller semigroups, J","venue":null,"work_id":"a5baee58-582b-4e73-80fc-7cd2d328d30b","year":1996},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:e6c5dd584fd59ff4c6eecb438026c9ab000d6469f552a048bef24735522f76c7","observation_id":"77cbd0be-1384-41ef-85b3-fe3da08ed85a","resolution":{"observed_at":"2026-05-24T13:44:32.911987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Mal´y, J., The Wiener test and potential estimates for quasilinear elliptic equations, Acta Math","venue":null,"work_id":"cac62941-88d2-42d3-b5e0-06be3a5d6399","year":1994},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:45ad4e9afa23ee698d718de28fe4e70b5a1476dcf9049ec4738a91a83bc9cdc9","observation_id":"d053ba1d-79ce-4bac-9daa-9ff85f56a3f4","resolution":{"observed_at":"2026-05-24T13:44:32.907950Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Shi, W., Higher regularity for the fractional thin obstacle problem, New York J","venue":null,"work_id":"5e44ca1a-f7fc-4d5c-b5a9-206092d3c2af","year":2019},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:7dc7e2b6f85216b254ea6aa090214148b46c7b70f1fa20c9b707830fcee84137","observation_id":"8bf66a42-a1ae-4544-ad4e-cc82552531fb","resolution":{"observed_at":"2026-05-24T13:44:32.903380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"S., Foundations of modern potential theory, Grundlehren der mathematischen Wissenschaften 180, Springer, New York-Heidelberg","venue":null,"work_id":"a1423207-f7d6-438a-80dd-9b70ac230c4c","year":1972},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:5ee6f731d4746f1dc26f138407b796d3a02126806eb545488780ec1b0e39e59e","observation_id":"03c4f923-0080-4d9d-99ac-0add8b9d46f7","resolution":{"observed_at":"2026-05-24T13:44:32.801517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Martio, O., Two theorems of N","venue":null,"work_id":"808c2680-dedc-494d-984d-56ba792af0e3","year":1985},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:0f2e5c80c25812ac4b81d57ab52bcdb16cb06dd574623c4ca8f68f1d01df6ff9","observation_id":"1947ef65-7f7e-4619-872e-f33a2df8d9ba","resolution":{"observed_at":"2026-05-24T13:44:32.898493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Weinberger, H","venue":null,"work_id":"b8ef3c50-f79a-4488-94a2-50bb54f61482","year":1963},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:90ba1a4f67bbb347941905f12698ff22d3630bdb563ed2b3cadf5cfee0a0f486","observation_id":"feb79fb3-6ef3-41e1-a2d6-7173c6b55b51","resolution":{"observed_at":"2026-05-24T13:44:32.894408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"G., Regularity at the boundary of solutions of elliptic equations and conformal mapping, Dokl","venue":null,"work_id":"cc49e1eb-b9b3-41d0-86b3-f2787cd91639","year":1963},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:6aaa1afc6ef61949a94c0cc8c17eb3eeb7d4b0bd92cbc929df7b9ac65f597b29","observation_id":"83658db9-3b5a-4698-8fb8-f5f55c9f07cf","resolution":{"observed_at":"2026-05-24T13:44:32.887608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"G., On the continuity at a boundary point of solutions of quasi- linear elliptic equations, Vestnik Leningrad","venue":null,"work_id":"273dcbe4-5b1d-4009-a5d7-6ed9d8cf8373","year":1970},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:a2d0b0bb0297533f5cf23dad7d0406b0b3053bc94e4724992554bc5ba9a20d75","observation_id":"aa34c69e-24d5-4893-bff6-a39eb43d0b4f","resolution":{"observed_at":"2026-05-24T13:44:32.808932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"G., Behaviour of solutions to the Dirichlet problem for the bi- harmonic operator at a boundary point, in Equadiff IV (Prague, 1977), pp","venue":null,"work_id":"61ce28eb-14fc-4be4-9d7e-3d4d44682456","year":1977},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:6841c2632efa3394b3a4d3e998abea93475217d029ec43b110966f340e9ca317","observation_id":"eebe3f74-715f-41b4-984c-51e990c45739","resolution":{"observed_at":"2026-05-24T13:44:32.882945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"G., On the Wiener type regularity of a boundary point for the polyharmonic operator, Appl","venue":null,"work_id":"b0c920f3-353e-402a-ba77-bb4ee3a403a1","year":1999},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:c1fb912a2252f2d495758c74387a6a3db59f7912824676f526221127d6047759","observation_id":"0936f030-0560-492f-a29d-a0ec8927d40c","resolution":{"observed_at":"2026-05-24T13:44:32.879059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"G., Sobolev Spaces with Applications to Elliptic Partial Differ en- tial Equations, Grundlehren der mathematischen Wissenschaften 342, Springer, Heidelberg","venue":null,"work_id":"8fab8326-4fd4-4e9c-837f-407961796c13","year":2011},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:192078a94fe206056dccf6f46d4f64d95d01c3dbeefa826c1d7246066c731354","observation_id":"88e4b2c5-1312-42a8-8cb0-951a869da119","resolution":{"observed_at":"2026-05-24T13:44:32.874693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"G., Boundary Behavior of Solutions to Elliptic Equations in Gen - eral Domains, EMS Tracts in Mathematics 30, European Math","venue":null,"work_id":"a6fd4a35-a00c-4695-a712-39201cf570b4","year":2018},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:84ec5a634ded1f5b91c7e954b6c1cadc08d2dab36360e20513ec65b38b515e72","observation_id":"4b9237cd-56a8-4077-8225-bd4b426b5cf7","resolution":{"observed_at":"2026-05-24T13:44:32.816779Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6d0f11ce-5947-42fc-8113-59eaa0245fc4","year":1983},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:b7e13d2ed71fcdcc61311f56b9775869e5d3458ab890c2dc07af3674c20d2ad1","observation_id":"bfe31b80-a0fb-4fa5-b774-e3e8468c5a7a","resolution":{"observed_at":"2026-05-24T13:44:32.870843Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0a712e2a-1fd9-4c39-9585-82beb96c4f34","year":1996},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:bf894262634e39c7a10195d0835b86f17b2a30e04605fcf341656c91effddddc","observation_id":"ebccd199-80b6-4025-bfa5-61a00b2ec5de","resolution":{"observed_at":"2026-05-24T13:44:32.867240Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5317f9dd-c96b-4b8c-a687-71d7eac8b5ed","year":2016},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:5dbde280d8416de22902db7dee2dfee2fc0b14f781f9bbdace4ccea6bae1a258","observation_id":"868e9bbb-6355-43d5-a0ec-923879cc87bc","resolution":{"observed_at":"2026-05-24T13:44:32.863701Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Serra, J., The Dirichlet problem for the fractional Lapla- cian: regularity up to the boundary, J","venue":null,"work_id":"afc0c644-9240-409e-963c-8bc5ecc69a76","year":2014},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:b96697af2326adfeab474960db74f8d5d84235bf943ce682e49ba19d56d0f866","observation_id":"069e9c0f-d7ca-4c96-9bdc-8026c5d6fd88","resolution":{"observed_at":"2026-05-24T13:44:32.826973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and Serra, J., The Pohozaev identity for the fractional Lapla- cian, Arch","venue":null,"work_id":"fa72290a-8606-4e51-8bb1-c8db9df03b05","year":2014},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:8a6f4f3382cffd006a3d897592ee5ee5f74e9a4a09195a92cc5ef0541f453464","observation_id":"1601d3fd-f29f-4682-be20-c71cfd32e047","resolution":{"observed_at":"2026-05-24T13:44:32.860135Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pure Appl","venue":null,"work_id":"e843eb41-a458-40cf-bde2-e2ab66706c72","year":2007},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:e4294d1935eaec69a73456e85aa68c36aeac4bd22134ed4abea5ef1c6cbe1456","observation_id":"921c878e-3aa2-47cb-b259-82e67dd2360c","resolution":{"observed_at":"2026-05-24T13:44:32.856366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8e9c3516-c302-407a-821d-4d3db707ddc9","year":1924},"citing_paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-24T13:43:31.055800Z"},"links":{"citing_paper":"/paper/2107.04364"},"observation_digest":"sha256:b0aa1d56127a66741d398e0a8d93eda9878909402c89590de0cb660449d29a10","observation_id":"0e65c0c1-d01b-4e42-9caf-99897c0f79cb","resolution":{"observed_at":"2026-05-24T13:44:32.852495Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2107.04364","last_updated":"2022-10-31T18:57:28Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-18T18:58:01.312738Z","submitted_at":"2021-07-09T11:13:21Z","title":"Boundary estimates and a Wiener criterion for the fractional Laplacian"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":29},"total_outbound_references":35},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2107.04364."}