{"as_of":"2026-08-13T12:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9c04df9c26ab88416379b522d7286e6b3841c8e14d1d5afb9bc372785c8d3334","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:40:16.322584Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.13498/citation-record","integrity":"/paper/2411.13498/integrity","json":"/paper/2411.13498/citation-record.json","paper":"/paper/2411.13498"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.03624","last_updated":"2025-02-21T15:11:12Z","snapshot_observed_at":"2026-08-13T12:07:27.107804Z","submitted_at":"2023-04-07T12:52:46Z","title":"Boundary behavior of solutions to fractional $p$-Laplacian equation","version":2},"cited_work":{"arxiv_id":"2304.03624","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.03624","snapshot_observed_at":"2026-08-12T16:40:16.377954Z","title":"Boundary behavior of solutions to fractional $p$-Laplacian equation","venue":"math.AP","work_id":"ea6181dd-0486-48d0-b475-95fce4bc53f0","year":2023},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.218400Z"},"links":{"cited_paper":"/paper/2304.03624","citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:3ee36d5d8f787b172bc01fdbed816201b18b21eacc186f54b18fe2f853e2cf0e","observation_id":"37a89c9b-457a-430d-b4cd-ac7831417cf6","resolution":{"observed_at":"2026-08-12T16:40:16.384832Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.692503Z","title":"Bertoin, L´ evy processes, vol","venue":null,"work_id":"ff0038a5-0b7e-4885-8c42-487331606a24","year":1996},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.224539Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:58c5c4e31bc557d33617a11d95183d7e113c75c8916504df48d8b2ed16ffb09b","observation_id":"4fff018b-9d0f-40e7-ac49-85d2913122f4","resolution":{"observed_at":"2026-08-12T16:40:16.697955Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.675691Z","title":"Caﬀarelli, Non-local Diﬀusions, Drifts and Games , Springer Berlin Heidelberg, Berlin, Heidel- berg, 2012, pp","venue":null,"work_id":"0bf5f831-96b1-46bb-b213-7695ac44e21a","year":2012},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.229526Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:7fe1d336bf8c3ebdf0fd03e5d4d1fcb40eb4fb76c3caa53c3a2fc070878124fd","observation_id":"b020651b-4fa5-44eb-9bc7-8d4cec79bb23","resolution":{"observed_at":"2026-08-12T16:40:16.681125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.658879Z","title":"Cont and P","venue":null,"work_id":"0e932f85-c815-44ff-b87d-1754fa02e350","year":2004},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.234999Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:78ef9d7df6c836994fae7dbe052ece08685a37632afc8d61a858e1c9362ae2c7","observation_id":"c1714a97-6ca2-46d5-9572-7864ede259ed","resolution":{"observed_at":"2026-08-12T16:40:16.663750Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.642770Z","title":"de Borb´ on, L","venue":null,"work_id":"cf7ac653-e78c-435f-8464-e7de000c8e34","year":null},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.240783Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:a55a881e761cf34813d19dd40edb9ccaba521d4e79c62111b270c8049c200462","observation_id":"cc1c3850-6c93-4bd9-bb8f-f803cab4649b","resolution":{"observed_at":"2026-08-12T16:40:16.647848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.627206Z","title":"Del Pezzo, and A","venue":null,"work_id":"54ca24fa-560d-4f27-beca-f0cfedfaa86c","year":2017},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.246134Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:53412c1e84f5a7fadd8cb96a3ac8b7605922c2d87dbf3965f516f9ff009fd38e","observation_id":"d44942cf-f239-470d-8120-4cc6be58985f","resolution":{"observed_at":"2026-08-12T16:40:16.632218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.608630Z","title":"Dipierro, N","venue":null,"work_id":"4516aa67-e72b-4b73-a533-d14ab39a8831","year":null},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.251152Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:1536f6e3aa5ac02060766a1bcfc89d412e95da29e644c83b89d7d88e429351c8","observation_id":"e5459d18-0b7a-4356-9225-f8a669970d8e","resolution":{"observed_at":"2026-08-12T16:40:16.615146Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.593314Z","title":"Fall and S","venue":null,"work_id":"1a1b150c-880d-4dfb-a24f-09aa4c4437f2","year":2015},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.256017Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:4bc19eb7cbfc56b3d6f0092f7a637e15717569054bb6e24819eb1ebc8517ebc9","observation_id":"3ef7826f-6c54-4aa9-a46e-36fa2cc23783","resolution":{"observed_at":"2026-08-12T16:40:16.598142Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.575566Z","title":"Fern´ andez Bonder, M","venue":null,"work_id":"5ec1183d-e6cd-4439-81f9-fbad26105fbc","year":2022},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.261816Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:484b8d4d2cc50f72d9f66711f50621b2ccd309b78dfb20234671c37515374d33","observation_id":"22180bc8-8438-463d-ba9c-cad07483ab1b","resolution":{"observed_at":"2026-08-12T16:40:16.580458Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.559779Z","title":"Fern´ andez Bonder and A","venue":null,"work_id":"ca9e79ff-4d12-4003-9c7f-6017f07aba6b","year":2019},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.267085Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:2216f64536d02f31f7da9ce0250abdcdf3ba1e001e4910ef00b4c80c9b89995b","observation_id":"74e20f8c-6e1c-4e96-a89f-ba8900efdca0","resolution":{"observed_at":"2026-08-12T16:40:16.565150Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.543268Z","title":"Fern´ andez Bonder, A","venue":null,"work_id":"05e158db-39bc-4742-81d9-53ba07ee1fc7","year":2023},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.272426Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:0a3d955ca9afac3a187deeeccf41e726050474dd24ca68df151e3f3947239dc0","observation_id":"d9557ca7-316a-47f0-86e6-575a0d0d2299","resolution":{"observed_at":"2026-08-12T16:40:16.548160Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.526475Z","title":"Fern´ andez Bonder and A","venue":null,"work_id":"f137b3c4-961a-4b0b-8eda-0819c93186cd","year":null},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.277643Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:e5d0f39eb5638a8eedf629dce5735e0ced952f30e457836e63120c1643a09e6a","observation_id":"007bc70e-4ec6-483e-adb0-a0f6f06ceda1","resolution":{"observed_at":"2026-08-12T16:40:16.531826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.509930Z","title":"Gilboa and S","venue":null,"work_id":"82c7c403-bffc-4e0f-8c36-b1124ef25ef7","year":2008},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.282763Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:306398f8d4aa684a70acf53f1764818dda2f2eb96bd4a81acb8108a2cad0aa38","observation_id":"9f56f5d0-5025-4d15-8d6d-c1f9ad78f77b","resolution":{"observed_at":"2026-08-12T16:40:16.515055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.493973Z","title":"Gilbarg and N","venue":null,"work_id":"64977357-ce1f-4602-a901-ae92bf470d73","year":1983},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.287508Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:c89ac8cafb9fb684faa5ef461f1472effdbac83d03e0ab1dc7dc7a37ef1426c7","observation_id":"4fa26d2d-41d6-490d-84be-14330ac4f0e7","resolution":{"observed_at":"2026-08-12T16:40:16.499334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.477276Z","title":"Greco and R","venue":null,"work_id":"ad943bc6-e844-4d7b-bb41-eb76eb3ca980","year":2016},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.292547Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:bda31d6ff633556fdbd953b7212245a305622cd3e62a3f494c1304cf88fa3c32","observation_id":"99441c2d-604c-4b12-be06-80fd34e02715","resolution":{"observed_at":"2026-08-12T16:40:16.482356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.461156Z","title":"Krasnoselskii y Y","venue":null,"work_id":"54e75a1f-16c2-40ec-9c60-f4861bf4e7ba","year":1961},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.297653Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:aaf4dfe5952f7f91726a5d174d077b213ff4c1df1d59ed69ef2aa5a80422b0aa","observation_id":"d14340ac-13bc-4eae-9d06-7cce758c232e","resolution":{"observed_at":"2026-08-12T16:40:16.466151Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.444034Z","title":"Hiroaki, T","venue":null,"work_id":"a27df112-8b66-43b4-80e9-8250aa36f223","year":2007},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.303139Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:00ef0534798be998deb40b98666a3f59cc694a0b0e5cd9ef61bd8dc222d4e1e1","observation_id":"b41593e7-25ff-4bcf-a73f-0fb4095ab732","resolution":{"observed_at":"2026-08-12T16:40:16.448744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.428600Z","title":"Lewicka and Y","venue":null,"work_id":"14f34d14-7f7b-471a-ac90-0dab373567b9","year":null},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.308113Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:6e6d87acf04d36c97cb3af5843e878517e93e3370b158360505c1318ec379e56","observation_id":"b040d1a8-688f-45ae-a416-24a55cb92e3e","resolution":{"observed_at":"2026-08-12T16:40:16.433338Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.412417Z","title":"Molina, A","venue":null,"work_id":"c51aacbe-cedd-40e9-91b2-d99642304c58","year":2021},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.312729Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:69c1ba4f25f8648517c4b57c8433a149b496e494a8b77c845a8c2ccc52ffd621","observation_id":"3d880256-f9d3-4488-b3ef-d25504651506","resolution":{"observed_at":"2026-08-12T16:40:16.417535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/dcds.20","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:40:16.354342Z","title":"Ochoa and A","venue":null,"work_id":"cd27c3c9-ed47-4437-b13d-b5a2e7ab0cca","year":null},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.317477Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:1a069a9c01bdba5d0fbd4817fa4dbea84c64f96734aee249cade8a8e8343c584","observation_id":"8e3119ba-f9d8-4d66-8552-60b49bbecb5c","resolution":{"observed_at":"2026-08-12T16:40:16.360498Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:40:16.396178Z","title":"Sen, A note on Hopf ’s lemma and strong minimum principle for nonlo cal equations with non- standard growth","venue":null,"work_id":"6d9a0a8e-4c0f-4016-a931-946e003d8316","year":2023},"citing_paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T16:40:16.322584Z"},"links":{"citing_paper":"/paper/2411.13498"},"observation_digest":"sha256:b90e186d393dfdd71495febe83f749e6a1f71a6dc0b770e374edd496b26fac5b","observation_id":"eedad2b6-53ae-4c70-ae6e-c6e33e0cae1d","resolution":{"observed_at":"2026-08-12T16:40:16.401134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.13498","last_updated":"2024-11-20T17:46:29Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T03:01:47.262912Z","submitted_at":"2024-11-20T17:46:29Z","title":"Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":2,"verified_fuzzy":19},"total_outbound_references":21},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2411.13498."}