{"as_of":"2026-08-21T17:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:13844858df685ee2e35e7a45c7334cbf95cab358d800c1f052444769c6b9d5c0","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:21:17.809243Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2608.01079/citation-record","integrity":"/paper/2608.01079/integrity","json":"/paper/2608.01079/citation-record.json","paper":"/paper/2608.01079"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:21:18.206736Z","title":null,"venue":null,"work_id":"f33f11e0-7ea8-4ef1-b9d6-9c6ef4d98db8","year":2015},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.720015Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:64f57a8ae017374dc6c5b42ef921092d8affeb5d32b8a35fb8eb098b2a089d85","observation_id":"f1436e47-dae7-4885-b19d-a1864afa9c66","resolution":{"observed_at":"2026-08-15T15:21:18.214063Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:18.186708Z","title":"An extension problem related to the fractional L aplacian","venue":null,"work_id":"501640c3-dd08-40b3-a26e-edebdf084202","year":2007},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.726126Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:f90cc564d2a8cee12a3630267a53a689c97b2b6d19508cdc1fea47eaace0c8e7","observation_id":"3ff8e64d-49d7-4480-83e3-040929f8d992","resolution":{"observed_at":"2026-08-15T15:21:18.193214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.15689","last_updated":"2023-12-25T10:39:14Z","snapshot_observed_at":"2026-08-19T17:59:42.398823Z","submitted_at":"2023-12-25T10:39:14Z","title":"An extension problem for the logarithmic Laplacian","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.15689","snapshot_observed_at":"2026-08-15T15:21:17.733321Z","title":"An extension problem for the logarithm L aplacian","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.733321Z"},"links":{"cited_paper":"/paper/2312.15689","citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:e018a2acf9f6462d87dd45ec1b5acd258896f7f1e6fdd9ead7c63008ee3f265d","observation_id":"cad4a0e0-38a8-45b3-a714-bec24d45a6d4","resolution":{"observed_at":"2026-08-15T15:21:17.733321Z","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":"2026-08-15T15:21:18.164068Z","title":"The D irichlet problem for the logarithmic L aplacian","venue":null,"work_id":"ad669eb7-24e1-457e-958d-05a5007b0baf","year":2019},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.738979Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:54a390b66dc7773467e77e1dd7b99fccc10459b664cc06b9b69dbb11853f12ee","observation_id":"224e9c50-4f85-444c-959c-04ca5220944b","resolution":{"observed_at":"2026-08-15T15:21:18.170827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.19311","last_updated":"2025-06-24T04:57:54Z","snapshot_observed_at":"2026-08-21T11:29:19.345402Z","submitted_at":"2025-06-24T04:57:54Z","title":"Logarithmic Laplacian on General Riemannian Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.19311","snapshot_observed_at":"2026-08-15T15:21:17.744860Z","title":"Logarithmic L aplacian on general R iemann manifolds","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.744860Z"},"links":{"cited_paper":"/paper/2506.19311","citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:14a672aa49c404219826e68d0d4440beca2672cd830eec4c0fa48bcfa97b91e2","observation_id":"4868a513-95f3-44b0-9bdc-87ba61397412","resolution":{"observed_at":"2026-08-15T15:21:17.744860Z","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":"2026-08-15T15:21:18.139819Z","title":null,"venue":null,"work_id":"3e9658dd-ab60-4f7d-b8d9-48afbbcf6b8a","year":2021},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.750262Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:d2b65eb722ac5223b8e73146f2904ab1132dbb91d1102b471b8af859b9e2611c","observation_id":"d955dbe0-2fcf-4657-8d29-da8a9ca2c1c0","resolution":{"observed_at":"2026-08-15T15:21:18.145820Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:18.100014Z","title":"o., Jarohs, S., and Sk, F","venue":null,"work_id":"53b4fab5-d15f-452e-a805-ffd5ba36e307","year":2026},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.755743Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:0db2a482a2759cfca3f6e0a959edd8194f23560ecb53b60eed72c9a6203a6711","observation_id":"403f33ae-2a52-40bb-8738-24519ea8ff36","resolution":{"observed_at":"2026-08-15T15:21:18.109202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:18.073412Z","title":"Reverse F aber- K rahn inequality for the p - L aplacian in hyperbolic space","venue":null,"work_id":"da988f99-1dec-4862-8662-19b1444aa4a5","year":2023},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.760433Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:249f012291e7be9041eed83f8599eeb8aacdb68e84fff575ae118053fe148537","observation_id":"940eb4c2-4c1e-417b-b54b-1c9f19f48dfb","resolution":{"observed_at":"2026-08-15T15:21:18.083387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:18.053526Z","title":null,"venue":null,"work_id":"411f9683-7c31-44e3-b573-a8eaf53ec2b6","year":2014},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.765137Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:80929ec26ad18466c5bdcc63cf36a44f19562bfc90a82b3b526b2bdb39592b42","observation_id":"d2b92797-7e74-4cf3-871e-e6ef5df17dca","resolution":{"observed_at":"2026-08-15T15:21:18.058944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:18.034673Z","title":"A fractional Y amabe flow and some applications","venue":null,"work_id":"0f768e56-b49a-4f35-a676-d82b9a8f7ae2","year":2014},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.769964Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:12703b8f700401d34ce764910a4c1a3102613cf283eabe8d19660c966d68b73b","observation_id":"64f52aac-c503-4d03-8114-e6f6f3e8d2d7","resolution":{"observed_at":"2026-08-15T15:21:18.040423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:18.014637Z","title":"The fractional p - L aplacian on hyperbolic spaces","venue":null,"work_id":"1de537de-f703-48d2-8619-f92528ebd103","year":2026},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.775003Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:28b87510564fa7dafd09482ac01a15ff821c54bc24af5b5bd917155c8cf8ec81","observation_id":"ff019f46-332e-4610-8135-18668375e387","resolution":{"observed_at":"2026-08-15T15:21:18.020266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:17.992879Z","title":"Ten equivalent definitions of the fractional L aplace operator","venue":null,"work_id":"d748aa45-3ff8-4ba8-bba9-42174eb46e02","year":2017},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.780192Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:e0dd193a6b4a1f169d44b2490540fab73e56fc0a0b3c93f17ec21ad6e0353cd8","observation_id":"0176b8dd-7a94-4abe-a227-bbc821756e37","resolution":{"observed_at":"2026-08-15T15:21:17.998833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:17.968668Z","title":null,"venue":null,"work_id":"01f5f0ea-cf26-405a-9d8a-0667ad3c81ba","year":1972},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.784727Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:7e18e4718979ebb308594381a15275707cf642cb6d8ba7ef05b4a302e66224d2","observation_id":"a87500fe-4cd8-4dce-a0de-e3779dec86f0","resolution":{"observed_at":"2026-08-15T15:21:17.975427Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:17.950381Z","title":"Existence of the least energy sign-changing solutions for fractional B rezis- N irenberg problem","venue":null,"work_id":"0c512350-2a67-43b2-bca9-0c50d8051b35","year":2025},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.789629Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:26141205ac109771e8e4b80f85ee0f0ac3154669fb907e47911b5aa85f172194","observation_id":"ee3721a0-da20-4552-b896-cb220d5e63b1","resolution":{"observed_at":"2026-08-15T15:21:17.955863Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:17.933044Z","title":"H\\\"older estimates for viscosity solutions of equations of fractional p - L aplace type","venue":null,"work_id":"fbf8f292-40a0-457c-a838-f4ceee92fb53","year":2016},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.794522Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:8f718c167a0bcedf19063406c9d98fb5ddab64f7c7b26bc7de1675466ef3df5f","observation_id":"c2bc2573-cd5a-4038-84be-5ac08599ba4c","resolution":{"observed_at":"2026-08-15T15:21:17.938350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:17.915915Z","title":"Anisotropic fractional perimeters","venue":null,"work_id":"d8c4e4b0-10bc-413b-8a79-a87059f882e5","year":2014},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.799243Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:7ebe3b44c3be3b295d11bccde6e8435654bfcb69a2f157ef89e9275cb3ac634d","observation_id":"e98283a4-768e-4a1c-8b21-9fc6815fd9a2","resolution":{"observed_at":"2026-08-15T15:21:17.921425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:17.899212Z","title":"The D irichlet problem for the fractional L aplacian: regularity up to the boundary","venue":null,"work_id":"2a95c66d-b543-4803-b129-1e32b01cdbd4","year":2014},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.803926Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:f8d02e33e53a5fb76b87ef8186df516197a16b58632a852e939e65f68bd5df38","observation_id":"3d596380-938d-4b35-89e5-80ba43fd4bc9","resolution":{"observed_at":"2026-08-15T15:21:17.904579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:21:17.878067Z","title":"The B rezis- N irenberg result for the fractional L aplacian","venue":null,"work_id":"12212c3a-62d8-4902-a379-cde9ef6f46c3","year":2015},"citing_paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T15:21:17.809243Z"},"links":{"citing_paper":"/paper/2608.01079"},"observation_digest":"sha256:0021204125529695ca183c8908f405e091cc44ad55e644dda94dc6edf2208872","observation_id":"50d752ed-9e6a-4fbe-a411-174b6b8e48fb","resolution":{"observed_at":"2026-08-15T15:21:17.887177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.01079","last_updated":"2026-08-02T08:26:05Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-21T11:29:38.671814Z","submitted_at":"2026-08-02T08:26:05Z","title":"The logarithmic $p$-Laplacian on hyperbolic spaces"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":12},"total_outbound_references":18},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.01079."}