{"as_of":"2026-08-16T11:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ce59f210491fd175551f04efbcce2ed6082ae3afaa2f0609423a2f5f6d88ebf0","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:39:34.369941Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.03033/citation-record","integrity":"/paper/1908.03033/integrity","json":"/paper/1908.03033/citation-record.json","paper":"/paper/1908.03033"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.943024Z","title":"John- N irenberg lemmas for a doubling measure","venue":null,"work_id":"175620a0-ba2b-439d-8177-7b529276c0c2","year":2011},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.201818Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:568f8a1bfd5f0e1c841806e19b7b07232c967c725dcfe41dd75e682a8c8f14b0","observation_id":"8b9e7494-01f1-4128-a7a0-8c345034a57a","resolution":{"observed_at":"2026-08-14T14:39:34.948420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.206789Z","title":"Null sets of harmonic measure on NTA domains: L ipschitz approximation revisited","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.206789Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:76d59d38346a787568488471ff65eda52c9d74f5fccb03bb5bc8146f6cd2b0ed","observation_id":"a13fc72b-89ac-44c7-9f4b-886a3343bc4a","resolution":{"observed_at":"2026-08-14T14:39:34.206789Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.915816Z","title":"Reifenberg flatness and oscillation of the unit normal vector","venue":null,"work_id":"08c68d1d-0acd-42bf-a264-39c400682c7a","year":2017},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.211502Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:826cb5ffedba9ba4d3baeff9b500ffe24a5d8a4411da2f6e7340bd4bebf4b38d","observation_id":"8cb17b30-9adb-4af0-b255-db56b5b7c585","resolution":{"observed_at":"2026-08-14T14:39:34.921525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.900043Z","title":"A singular integral approach to a two phase free boundary problem","venue":null,"work_id":"7e62e331-f3b4-43aa-88bc-af6c4262f56b","year":2016},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.216258Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:de1f26ab5e776eaa810a14fffd29140ce01f3112f056985ba1719a2efb1e45cf","observation_id":"ecc77930-814b-4cd0-b71e-aaa6bab1ce3b","resolution":{"observed_at":"2026-08-14T14:39:34.905198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.884765Z","title":"A T(b) theorem with remarks on analytic capacity and the C auchy integral","venue":null,"work_id":"f5983a08-b34f-4fcb-8cf8-2072fe3e2aab","year":1990},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.221578Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:d0a79a1d5fc9c40729d8d655e2fd5aef6653477f73cb1c944b399e655071cc8c","observation_id":"cbe4e092-e423-4b7b-8dac-ad8d254e217f","resolution":{"observed_at":"2026-08-14T14:39:34.889540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.870448Z","title":"Morceaux de graphes lipschitziens et int\\' e grales singuli\\`eres sur une surface","venue":null,"work_id":"6ff6fe84-87be-4c53-bf54-73cd3e2b5624","year":1988},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.226724Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:81081b57853f8cd2fdc151f03693801f2b90a0c76d27407d6b2935bc61cb4d67","observation_id":"9f6b29f3-9023-4c7f-9db0-fd10b62df9d1","resolution":{"observed_at":"2026-08-14T14:39:34.874741Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.856397Z","title":"Wavelets and singular integrals on curves and surfaces , volume 1465 of Lecture Notes in Mathematics","venue":null,"work_id":"b176d710-ec9b-43a6-b0d5-cfe7a378d2ed","year":1991},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.232595Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:57e82ffa82794092708a64c4bb39ac31dcded7fd1b6125d1452704d2224a2053","observation_id":"37d434db-43e6-4876-8299-b530e7f14d4e","resolution":{"observed_at":"2026-08-14T14:39:34.860801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.842059Z","title":"Frontiere orientate di misura minima","venue":null,"work_id":"3abfc790-fab8-4eb3-a86a-d648d323fdde","year":1960},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.237368Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:5417b2592a38906315e8f9d17460fc8f7cc3a71bd46c439795365c6834fb3d80","observation_id":"1f7f3dbe-76c7-4c8e-a485-afb2108076c8","resolution":{"observed_at":"2026-08-14T14:39:34.846507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.827389Z","title":"David and D","venue":null,"work_id":"f52a4d4b-3094-4744-9d6b-2b0d2fed744b","year":1990},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.241937Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:61d51c73f43553a349b53594c63cb438fffd8b5cd9b9d2815ad7cd863bc1772c","observation_id":"13bb1ca1-6b53-4b7e-904b-5814d06bf9b8","resolution":{"observed_at":"2026-08-14T14:39:34.831898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.811904Z","title":"Quasiminimal surfaces of codimension 1 and J ohn domains","venue":null,"work_id":"1c6b9c06-ceb8-4f2d-afe3-22163e28d8cf","year":1998},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.246809Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:49d82ebcf9e2d637e312a3204f155f2c0acb81f21173767bcb8d6aa72f50e3d3","observation_id":"1b502d81-c502-4446-9c7c-a37f4cb252bc","resolution":{"observed_at":"2026-08-14T14:39:34.817093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.251502Z","title":"Evans and Ronald F","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.251502Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:94a17a6188f0b47b2c6e5386353d0204a97df5421bc0f05a4c3eb04e79e290fc","observation_id":"e722cc0d-8bc6-4912-a5c8-738a3111b13d","resolution":{"observed_at":"2026-08-14T14:39:34.251502Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.786602Z","title":"Systems of dyadic cubes in a doubling metric space","venue":null,"work_id":"dca916e8-1fa3-4676-823c-dd60d5f04adb","year":2012},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.256381Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:f8813b4237858757fce1d9fccdf6964730a009052ace5aa04decfe20d3dceaf2","observation_id":"2c790af0-3801-443f-8f6a-772b83976a06","resolution":{"observed_at":"2026-08-14T14:39:34.791404Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.771433Z","title":"The weak- A_ property of harmonic and p -harmonic measures implies uniform rectifiability","venue":null,"work_id":"af02ebf6-b17d-4f57-9d5e-04948586cd33","year":2017},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.260942Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:d9c9cc32bef7c5848bcf9d7dec3865a83c9093c6c18a3fc7b3429f679427e99c","observation_id":"e4f25a0e-afc7-44a6-a1d9-927e07abbfb0","resolution":{"observed_at":"2026-08-14T14:39:34.776334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.756433Z","title":"Uniform rectifiability and harmonic measure I : U niform rectifiability implies P oisson kernels in L^p","venue":null,"work_id":"2674e896-e07f-4c9d-b941-4edd31e1e32f","year":2014},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.265422Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:17572867c2dca164b078799f5e489edcf400107da0f94364f6244c9c8ca36b18","observation_id":"7a02a9f7-d94f-4d99-b850-02eea7b54bdc","resolution":{"observed_at":"2026-08-14T14:39:34.761366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1505.06499","last_updated":"2015-05-24T23:27:09Z","snapshot_observed_at":"2026-08-16T10:57:48.488081Z","submitted_at":"2015-05-24T23:27:09Z","title":"Uniform Rectifiability and harmonic measure IV: Ahlfors regularity plus Poisson kernels in $L^p$ implies uniform rectifiability","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1505.06499","snapshot_observed_at":"2026-08-14T14:39:34.270152Z","title":"Uniform rectifiability and harmonic measure iv: Ahlfors regularity plus poisson kernels in l^ p implies uniform rectifiability","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.270152Z"},"links":{"cited_paper":"/paper/1505.06499","citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:125d91a5132b904ecff895f7c473802c713b1d09816f4d7542cc585c4c59a4d8","observation_id":"7cfe4c73-b302-4be1-bc6b-90cac27ef2f3","resolution":{"observed_at":"2026-08-14T14:39:34.270152Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.742030Z","title":"Uniform rectifiability, C arleson measure estimates, and approximation of harmonic functions","venue":null,"work_id":"23c41f5e-415c-40c9-98d6-2b826d5ad9ef","year":2016},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.275216Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:b9bcc324f24b790353737670cfdaef2669ccdf40ea0a01d73b3f23f1623632af","observation_id":"dc4576ab-b97e-40ea-9f78-2b4145837b7a","resolution":{"observed_at":"2026-08-14T14:39:34.746619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.726172Z","title":"Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro","venue":null,"work_id":"78857627-9445-4fd3-a063-9af777d411b9","year":2010},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.279820Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:6016788103d9927834f0e77aa93651e38b0a5e3362cfffe8017e0e7e14b163bb","observation_id":"3d13c4d7-ede3-4e1b-867f-cd1542f5bf7f","resolution":{"observed_at":"2026-08-14T14:39:34.731171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.711201Z","title":"Jerison and Carlos E","venue":null,"work_id":"534baa59-fbb7-4bfa-9b16-ea140a8421ef","year":1982},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.283791Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:8aa81102cefe24215cf73406d7e7322069adf02da1fb493b6eba2df2cbb6e827","observation_id":"0bf2b71f-b68b-4e06-8634-df89c0d924b7","resolution":{"observed_at":"2026-08-14T14:39:34.715519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.697086Z","title":"Kenig and Tatiana Toro","venue":null,"work_id":"261c1826-d4c9-4cae-b52e-efd6075a18ca","year":1997},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.287835Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:e2054e0d688f6de0b4997b800c1635cd5c3990ff4538ff9352b2a6e3c27a659f","observation_id":"a33887f3-2c21-4f3d-bb84-9577fdae9632","resolution":{"observed_at":"2026-08-14T14:39:34.701495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.681266Z","title":"Kenig and Tatiana Toro","venue":null,"work_id":"837ef85e-dc78-426c-9ebf-837364b8b90e","year":1999},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.292196Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:4d424ac4d09d958f00a4bf8cc031d84541ee76ae365112e09335f6060e5b6def","observation_id":"cf1e2a51-ce55-4a4a-8e0b-a7a9614fea7c","resolution":{"observed_at":"2026-08-14T14:39:34.686631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.665626Z","title":"Kenig and Tatiana Toro","venue":null,"work_id":"833f6fbd-b623-4dc2-819d-5337686528ff","year":2003},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.296820Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:afb6311da1848478acd08402220ce3052dd844207782f7c1b0eb60afc823a6f7","observation_id":"f2fe1bad-c817-4720-9d60-0f4e4b617bb9","resolution":{"observed_at":"2026-08-14T14:39:34.670407Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.650650Z","title":"Kenig and Tatiana Toro","venue":null,"work_id":"6d77b5dc-a889-40d7-bf14-883ca325ba5a","year":2006},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.300788Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:9879ffa62c4ea1b74b6778fc556e7acccdc7a365666aa176e301286ba0d5fbe6","observation_id":"6cc431cb-5b70-423c-bdae-3d32f23ae3a7","resolution":{"observed_at":"2026-08-14T14:39:34.655450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.304820Z","title":"Sets of finite perimeter and geometric variational problems , volume 135 of Cambridge Studies in Advanced Mathematics","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.304820Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:f5cdef76dfc462e684ebb42dfa93785790ea30dbaf4bd1cc3bf3c54595fa5f1b","observation_id":"28de87b9-534c-424c-86b3-9c7beea124bc","resolution":{"observed_at":"2026-08-14T14:39:34.304820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.308997Z","title":"Geometry of sets and measures in E uclidean spaces , volume 44 of Cambridge Studies in Advanced Mathematics","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.308997Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:3f4f6e362c3c492005bc5ad9a11b5ab376dca80835bebd1c556d99a57f614ee1","observation_id":"9303a6cb-78f9-49b3-b129-1fa5c452ed5a","resolution":{"observed_at":"2026-08-14T14:39:34.308997Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.05056","last_updated":"2016-05-24T20:32:03Z","snapshot_observed_at":"2026-08-14T22:27:28.279415Z","submitted_at":"2015-10-17T01:04:31Z","title":"On the Geometry of Rectifiable Sets with Carleson and Poincar\\'e-type Conditions","version":2},"cited_work":{"arxiv_id":"1510.05056","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.05056","snapshot_observed_at":"2026-08-14T14:39:34.453801Z","title":"On the Geometry of Rectifiable Sets with Carleson and Poincar\\'e-type Conditions","venue":"math.CA","work_id":"41a372ae-cb6e-496e-a7a3-c35a4b9be850","year":2015},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.312997Z"},"links":{"cited_paper":"/paper/1510.05056","citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:9c10d38bf88fc7fda2eb16c1890ad1c5b29a68f46802a241c95c8013a7340acb","observation_id":"4272906a-9031-4a7c-bb79-b7aa62ebe382","resolution":{"observed_at":"2026-08-14T14:39:34.458527Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.07655","last_updated":"2016-05-24T20:42:46Z","snapshot_observed_at":"2026-08-14T21:55:53.430530Z","submitted_at":"2016-05-24T20:42:46Z","title":"Poincar\\'e-type Inequalities and Finding Good Parameterizations","version":1},"cited_work":{"arxiv_id":"1605.07655","doi":null,"metadata_source":"pith","pith_arxiv_id":"1605.07655","snapshot_observed_at":"2026-08-14T14:39:34.433390Z","title":"Poincar\\'e-type Inequalities and Finding Good Parameterizations","venue":"math.MG","work_id":"c5097fe4-3ae8-4fda-8fe5-c4dc83abb93a","year":2016},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.318040Z"},"links":{"cited_paper":"/paper/1605.07655","citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:4d4c40cf8ddac675bb5bbfe4a6dfa031e8c0ef338405db30119be02a299590aa","observation_id":"66a31585-fe09-45ba-bed2-45a4fbb96214","resolution":{"observed_at":"2026-08-14T14:39:34.438081Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.614187Z","title":"Melnikov , and Joan Verdera","venue":null,"work_id":"2f3315b8-82e6-4e93-b0ba-3b95a1c5a8e3","year":1996},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.322752Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:dad12c755a0561e1e5182caac9aeaf70925b324a04ff042f952ebce36eea07b7","observation_id":"96ca9cd7-0e77-4321-8807-bd1c5788cee9","resolution":{"observed_at":"2026-08-14T14:39:34.619334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.599234Z","title":"On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1","venue":null,"work_id":"0806ef78-d19a-48e1-98a9-a176385885d2","year":2014},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.327642Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:3b493fe682d3a021eca3915e8f3c961670c74d3f5193ef0649d7c629c3d0e3d7","observation_id":"5e34a657-e244-446e-aa42-9b0028c241db","resolution":{"observed_at":"2026-08-14T14:39:34.603983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.00751","last_updated":"2020-03-19T11:09:37Z","snapshot_observed_at":"2026-08-14T16:53:43.595638Z","submitted_at":"2019-04-01T12:29:39Z","title":"The two-phase problem for harmonic measure in VMO","version":6},"cited_work":{"arxiv_id":"1904.00751","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.00751","snapshot_observed_at":"2026-08-14T14:39:34.408577Z","title":"The two-phase problem for harmonic measure in VMO","venue":"math.CA","work_id":"83d6feb9-801d-40d3-83eb-fb66436a163c","year":2019},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.332122Z"},"links":{"cited_paper":"/paper/1904.00751","citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:49a67010685cf44c7bf089908a6f7c953adfd8470130b4f8055b59bbee760995","observation_id":"3125bb52-c5f1-46b4-a578-50f85927b13c","resolution":{"observed_at":"2026-08-14T14:39:34.415427Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.337230Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.337230Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:de2dcbb014df2c1e197e396bf0d2d50bdf21a28e14722bd16a8ad945cc678c8e","observation_id":"1a765d26-2f4e-4e15-883d-325dcdae6c43","resolution":{"observed_at":"2026-08-14T14:39:34.337230Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.575312Z","title":"Chord-arc surfaces with small constant","venue":null,"work_id":"c1acaaf9-009a-409b-ba57-e11234331f81","year":1991},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.341995Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:a82f4cac5f2849fc4a3d6f887f8f883daea8d9695c6c7b97f7696a7703e97598","observation_id":"f82fb639-aa78-49d2-b1c4-c42c71418aeb","resolution":{"observed_at":"2026-08-14T14:39:34.579679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.559468Z","title":"Chord-arc surfaces with small constant","venue":null,"work_id":"c91d96e0-5ca3-47b0-866a-90b3bba54d33","year":1991},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.346540Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:1654caacd51c6957ea0dda1047a1b486e9e4a5a02383d8eb8f6198667ebdeef7","observation_id":"83e8aae7-9950-4158-8ffc-619ab2ddd9a4","resolution":{"observed_at":"2026-08-14T14:39:34.564329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.543590Z","title":"Hypersurfaces in R ^n whose unit normal has small BMO norm","venue":null,"work_id":"64f5b23c-8d35-457e-9140-76ae19b0f292","year":1991},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.351259Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:2c7a877a8d442173e2e84af6c2179807c2a2ccec02657cd5df79c6a17d4ce0b7","observation_id":"67c3ef5c-abf4-486c-a62b-7ef4b23b562f","resolution":{"observed_at":"2026-08-14T14:39:34.548920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.526943Z","title":"Weighted H ardy spaces , volume 1381 of Lecture Notes in Mathematics","venue":null,"work_id":"2a86efe2-92bf-42af-b221-f53074f97d2c","year":1989},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.355781Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:94ebb7a1ecb952a7a5ef4076c515b1f8f4fb9b9d668beab810ab824d01dda050","observation_id":"73cd4041-5eeb-4b5c-af1b-2f0c1ceba10a","resolution":{"observed_at":"2026-08-14T14:39:34.532483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.360343Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.360343Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:319932b89c3df2b7ac126b1fe191e15335a6323cc427b388fddcf4176b01aab7","observation_id":"93b8e78b-d4d5-4434-9bb4-f626c50699c1","resolution":{"observed_at":"2026-08-14T14:39:34.360343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.500816Z","title":"Doubling and flatness: geometry of measures","venue":null,"work_id":"0db92a97-c12c-4a3d-b0df-fcdaac2065cb","year":1997},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.365257Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:b3884247a7f7ff7f30d4ec0b1fdd47848f6399feea31c8891766ae42229ec070","observation_id":"71552270-5c3d-4899-8a57-a1589fee5acc","resolution":{"observed_at":"2026-08-14T14:39:34.505972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:39:34.484946Z","title":"Geometric measure theory---recent applications","venue":null,"work_id":"5634ddbb-5cb7-4ae9-92c4-494142ac5a9e","year":2019},"citing_paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels","version":3},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-14T14:39:34.369941Z"},"links":{"citing_paper":"/paper/1908.03033"},"observation_digest":"sha256:b3c21c1535531896122116d59dead014effbdeccc6b31534be9aff1b8d1d4a29","observation_id":"f3cffc27-dba5-457f-aedf-d6d0d346b3c0","resolution":{"observed_at":"2026-08-14T14:39:34.489820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.03033","last_updated":"2020-11-10T14:46:38Z","latest_version":3,"primary_category":"math.CA","snapshot_observed_at":"2026-08-14T14:23:51.271334Z","submitted_at":"2019-08-08T12:15:52Z","title":"Two Phase Free Boundary Problem for Poisson Kernels"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":3,"verified_fuzzy":27},"total_outbound_references":37},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.03033."}