{"as_of":"2026-08-12T15:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:beebf7d35d3a694e79e292749a8d6e19cbf307ff928f2c685dbd15437a3ff473","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T23:24:48.648910Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2608.09113/citation-record","integrity":"/paper/2608.09113/integrity","json":"/paper/2608.09113/citation-record.json","paper":"/paper/2608.09113"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:24:49.341713Z","title":"Ambrosio and G","venue":null,"work_id":"a146db47-0b00-44ff-b2f2-ab8cf73cf483","year":1990},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.453074Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:ad9b7034e2fe0c8ee8547e29a327f40384a03b33714a55757e7549a8c4524240","observation_id":"707ae821-b277-47b4-adca-6d58e5db783d","resolution":{"observed_at":"2026-08-11T23:24:49.346519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.326432Z","title":null,"venue":null,"work_id":"6020f71e-05b6-4eab-94b9-5a34993891f0","year":2023},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.458657Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:7e8d20323d46222c227cbeb833988b2da5c27cea3ab50cc0d410470c3b7578df","observation_id":"4388bb4a-64ba-4d35-89d4-0efb552d358d","resolution":{"observed_at":"2026-08-11T23:24:49.331552Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.311277Z","title":"Bianchi, H","venue":null,"work_id":"85627e2b-84a0-440e-a0f5-61bd889dc4a7","year":1991},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.463564Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:ad76c9864aa95b311f6b8c72e881e47d28043c821a5852bbd8e3aec0ebd150ae","observation_id":"278e5363-cab7-48e8-ba99-0eed085814de","resolution":{"observed_at":"2026-08-11T23:24:49.316108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.296744Z","title":null,"venue":null,"work_id":"78915aa3-1e41-465a-bd71-1e879798215e","year":1989},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.468978Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:b7bfdd6f139a5f8217e9c4cd4b4d072ab822a2826da705cf15bbf5a804bb77aa","observation_id":"e7af2984-a5ee-4bc4-9a78-d48835c0df59","resolution":{"observed_at":"2026-08-11T23:24:49.301269Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.282541Z","title":"Catino, D","venue":null,"work_id":"b0e85244-1efa-4868-a74d-26436c000c03","year":2023},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.473683Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:01659ccd4aafb04dca879715c1127742c0fca95cefaabc727a31eff91c49de7a","observation_id":"1fc9447f-10e8-4a03-86c2-3506c3bb2181","resolution":{"observed_at":"2026-08-11T23:24:49.287221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.29281","last_updated":"2026-05-28T03:04:26Z","snapshot_observed_at":"2026-08-03T15:18:23.674812Z","submitted_at":"2026-05-28T03:04:26Z","title":"Liouville theorems for $p$-Laplacian equations in convex cones without finite-energy condition","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.29281","snapshot_observed_at":"2026-08-11T23:24:48.478256Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.478256Z"},"links":{"cited_paper":"/paper/2605.29281","citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:6506bf75e553f80ca6e87d65cd1fe679b6e31a0a398371f3d0a95299198a8c50","observation_id":"2ea45af0-0aa1-46ff-af8f-9e0f2801542d","resolution":{"observed_at":"2026-08-11T23:24:48.478256Z","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":"2026-08-11T23:24:49.268186Z","title":"Chen and C","venue":null,"work_id":"b4ca7fd9-ae9c-497b-9e99-4c0bace021f8","year":1991},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.484197Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:0c2e3d0231c0d10433a480941a36d899fe6a5e17fa0f5903a22917d7956d9481","observation_id":"97937ba9-cf5e-41bc-ac21-47d21216bf6b","resolution":{"observed_at":"2026-08-11T23:24:49.272789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.252775Z","title":"Cianchi, N","venue":null,"work_id":"950c436f-d5e0-4a7c-834d-aaf4ac9093de","year":2009},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.488853Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:61483ebf60994bed745e7b9a6ddb52e045a69b42be0c25ab008d548e97c6c854","observation_id":"1c25370b-395a-4e2e-9c09-bf695049c5a6","resolution":{"observed_at":"2026-08-11T23:24:49.257465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.236452Z","title":"Ciraolo, A","venue":null,"work_id":"efb446d1-beb1-4e91-a2a3-dad6c2e02c03","year":2025},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.493586Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:f740a163737aa51e1b26b2c492bfb1cf727b7441a9c0312e89acfc7d1b0b4d6a","observation_id":"f908037f-05ac-4bd4-baab-82b7f6b919c8","resolution":{"observed_at":"2026-08-11T23:24:49.241534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.220339Z","title":"Ciraolo, A","venue":null,"work_id":"331a466d-05b5-4aae-bada-66a74ecb800e","year":2018},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.498356Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:caa3929fcffe31b93650388e7eaf122889422665eae18edbe545aacca5131927","observation_id":"1f7dfc31-c393-455d-82c0-8d3435885fff","resolution":{"observed_at":"2026-08-11T23:24:49.225349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.204849Z","title":"Ciraolo, A","venue":null,"work_id":"139e7884-8ef3-4913-b71f-07aab7952450","year":2020},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.502925Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:a67f99e5fd54563ac5e0d41b88adfa48148fbcc6a94fd9bfdd709ecafdd756da","observation_id":"b4b806af-c27e-44f4-86c1-d833c3a6dc05","resolution":{"observed_at":"2026-08-11T23:24:49.209612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.186868Z","title":"Ciraolo and M","venue":null,"work_id":"5fafda09-0c9c-4cd4-bd23-4862deefb657","year":2026},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.508617Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:ba4f656ffafdc7e84be9f63b164c1d32d98f2af8e9314a2354ee68ff7b23b2c8","observation_id":"cb5fa011-09fd-42e2-90d4-50368cc967b7","resolution":{"observed_at":"2026-08-11T23:24:49.193351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.169249Z","title":"Ciraolo and M","venue":null,"work_id":"7298275e-add3-448b-98a8-5dc240e56491","year":2026},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.513139Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:254917eadc16cd82c2b6347860b9dca8265298c75016b88a651510b0b0b9cf70","observation_id":"cc7bdb74-1b81-4ae0-8768-e67300296e7b","resolution":{"observed_at":"2026-08-11T23:24:49.174157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.153525Z","title":"Damascelli, S","venue":null,"work_id":"c7d199c2-e2fe-4d56-b83a-c6629083acc9","year":2014},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.517446Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:d843a829bcd8b203302f5fc50c8d07fa44c2d3ca6c7763da2ae3464215ef90ce","observation_id":"978dfd5e-ca4d-4779-8fce-431ba0e458e7","resolution":{"observed_at":"2026-08-11T23:24:49.158362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.137299Z","title":"Degiovanni, A","venue":null,"work_id":"46523639-f025-4ccb-9c4a-f890c761ba2b","year":2003},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.521997Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:3caa41a57cc3b2b2d24b4fb72384b5c31c6dd177bf0afa77b3e12b6e614757bf","observation_id":"cc52ed2e-3219-4a42-9874-e6542601a9b7","resolution":{"observed_at":"2026-08-11T23:24:49.142741Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.121333Z","title":null,"venue":null,"work_id":"c515cd23-9c2d-4dc6-8923-24ce1236c94f","year":2025},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.526388Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:5ae6726203a7be8b6c23172570e432a1ff16133d09e36e359ca5b6cc72a303bd","observation_id":"1b22a845-4bad-4d69-984e-2dff0f8da3bb","resolution":{"observed_at":"2026-08-11T23:24:49.126421Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.105165Z","title":"DiBenedetto,C 1+α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal.7(1983), no","venue":null,"work_id":"d939fea6-6978-472c-9239-ebe5c068fe33","year":1983},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.530958Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:aba61880e5f3a0d9f62eb38e23a57d418c84e51272d92cd291c8398a589b43e0","observation_id":"c4f4889b-83e3-4eda-859d-12059a2e3fd1","resolution":{"observed_at":"2026-08-11T23:24:49.110427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.535439Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.535439Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:d2476a4376f279101753a9ccdaa3198e61b449f66ff590a72b57b279fdba5566","observation_id":"9633165f-2df2-4270-84b6-9140c21efad9","resolution":{"observed_at":"2026-08-11T23:24:48.535439Z","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":"2026-08-11T23:24:49.080313Z","title":"Figalli, F","venue":null,"work_id":"cdd3c5c6-c93d-46e3-a895-61778fcb3cff","year":2020},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.540038Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:7c6c572c261176ae3c0e538292ff4f06133166f7e7d00ec6edfcd989a0b79c4f","observation_id":"ac7ae7e6-5800-4098-a55e-d9ac1bd4e16d","resolution":{"observed_at":"2026-08-11T23:24:49.085136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.065392Z","title":"Figalli, R","venue":null,"work_id":"e2fa660a-a289-4020-a0da-6548acc657a2","year":2019},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.544957Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:f3ac09d758be08a14a65d8a2f90c2a4e25c59f63a1a68ce2ed030c16ff74691b","observation_id":"c1213ffb-bbbe-4dc5-993a-50332c998c31","resolution":{"observed_at":"2026-08-11T23:24:49.070234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.049970Z","title":"Figalli, Y","venue":null,"work_id":"4ceeebfe-b115-4a33-a559-26ee9d978e84","year":2022},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.549439Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:10808f76b85faba19f32908ce7fba98cb768b603f46ae6508cd872c450d06b13","observation_id":"b0634062-a6d7-4afa-b7af-7b7fc91e9f00","resolution":{"observed_at":"2026-08-11T23:24:49.054802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.033533Z","title":"Gilbarg and N","venue":null,"work_id":"e413fcb1-8464-4bc3-af65-0e027641d9d0","year":2001},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.554420Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:20745cbe85a859c2c20ba97baddbf9aff901f0d660f7a3bebbd905c0990f3231","observation_id":"84f7784b-2490-452c-8ea9-b5430dfdcbf8","resolution":{"observed_at":"2026-08-11T23:24:49.039117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:49.016647Z","title":"Heinonen, T","venue":null,"work_id":"69579df0-2f7f-4933-8d4e-73616fc39a41","year":2006},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.559345Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:4790900ac30eb7f0240d413f3009dc47540a3411b61cc4d2165afcb0e2798de5","observation_id":"2e1eba62-c239-42a7-9f26-7c01e36cc5d5","resolution":{"observed_at":"2026-08-11T23:24:49.022486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.999775Z","title":"Kichenassamy and L","venue":null,"work_id":"493f24dc-a860-4bdc-ac79-7b088a7f6692","year":1986},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.564249Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:46b95657cb5751a0e40a5d13bf0eb90a8547dc773440cd3723c7b6b57cacd75d","observation_id":"0f6160aa-3282-4c1b-befe-31a8b5a12e8d","resolution":{"observed_at":"2026-08-11T23:24:49.005188Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.984311Z","title":"Kichenassamy and L","venue":null,"work_id":"10a991cd-6791-4284-98ec-af2f3c5adafa","year":1987},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.568955Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:92b747b8764fc9905c4387ee20516bb15429191bc1f6780497ceb7a0fa490a3b","observation_id":"36f65795-1545-419f-bd6b-d806f0689723","resolution":{"observed_at":"2026-08-11T23:24:48.989287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.968666Z","title":"Kilpeläinen and J","venue":null,"work_id":"fc9bd76d-8387-4895-b411-e560d6b4499d","year":1994},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.573626Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:b0215cd89907ee5525147a437998cb176a5bcd91f3b2acbab22f92b683406d95","observation_id":"7a5337db-fb0b-40ff-a70b-395f46dce6f5","resolution":{"observed_at":"2026-08-11T23:24:48.974252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.953546Z","title":"Kuusi, G","venue":null,"work_id":"3610a372-6efd-4059-9e8d-0cd80fba4323","year":2012},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.578132Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:16522a40fb916b00cabe966c9783ac251e1f826e278e55f4ed2b5a61e0843f00","observation_id":"a14ad5e3-7ada-4d27-80da-b048b3194b3e","resolution":{"observed_at":"2026-08-11T23:24:48.958345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.938185Z","title":null,"venue":null,"work_id":"6b71e54a-a064-4b2d-bf78-47ac5a78068d","year":1999},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.582913Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:34acde8acafa224d4aca45d634ef7f0de56d44dc37fada48321b1ca1d81630fe","observation_id":"617a2860-cde9-495e-bcdf-51b3bb2b0e8c","resolution":{"observed_at":"2026-08-11T23:24:48.942899Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.922058Z","title":null,"venue":null,"work_id":"fe5e7611-6bbb-4b88-a41e-f6a2b718e9da","year":2003},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.587841Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:2a042159e64b695b3b5a73c075dfefb9cf15afcae82c56c5cc7b1166067b6332","observation_id":"93a6031e-85a5-492c-a925-96e0be005ca4","resolution":{"observed_at":"2026-08-11T23:24:48.927301Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1606.02563","last_updated":"2016-06-08T14:09:37Z","snapshot_observed_at":"2026-07-06T04:59:15.143416Z","submitted_at":"2016-06-08T14:09:37Z","title":"A Remark on the Kelvin Transform for a Quasilinear Equation","version":1},"cited_work":{"arxiv_id":"1606.02563","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.02563","snapshot_observed_at":"2026-08-11T23:24:48.730329Z","title":"A Remark on the Kelvin Transform for a Quasilinear Equation","venue":"math.AP","work_id":"b7ba48bc-7fe2-44b0-a7a8-3f62464a123a","year":2016},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.592622Z"},"links":{"cited_paper":"/paper/1606.02563","citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:0af32cf6da3bd4b94965d1b51fc56d490ccddc1ddbbfed647528ec99c20cc5eb","observation_id":"cfcbfc91-ef9a-4070-930e-44e694d36e1a","resolution":{"observed_at":"2026-08-11T23:24:48.735450Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.02340","last_updated":"2025-03-11T20:34:48Z","snapshot_observed_at":"2026-08-07T17:31:22.292298Z","submitted_at":"2025-03-04T07:02:49Z","title":"Sharp stability for critical points of the Sobolev inequality in the absence of bubbling","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.02340","snapshot_observed_at":"2026-08-11T23:24:48.597918Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.597918Z"},"links":{"cited_paper":"/paper/2503.02340","citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:ca85f74c26b9775d5f4ce45ba86efb3ec2c77bab689927b99990e7fc42f9145c","observation_id":"3235136b-9b61-4634-8453-cbd1d0a6c9ac","resolution":{"observed_at":"2026-08-11T23:24:48.597918Z","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":"2026-08-11T23:24:48.905094Z","title":"Ma and T","venue":null,"work_id":"3e974bb6-6eab-4ebd-9f0d-964375538a01","year":2024},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.602770Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:33f7319c3f8bc28176d443d47c9401967624f88d27ddd4fb2f938ebedc4a123d","observation_id":"ef202b72-9543-4cea-9d03-871d423a7772","resolution":{"observed_at":"2026-08-11T23:24:48.910940Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.886017Z","title":"Obata,The conjectures on conformal transformations of Riemannian manifolds, J","venue":null,"work_id":"69ad2178-381d-4637-94c0-bc8393d99659","year":1971},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.607279Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:313991dee5beeaff705134e1a6bb55a91e4d19af7fe9a519fbeee0d8b5d4e293","observation_id":"877e4c77-b33d-4374-90b8-215c7fc1ebb8","resolution":{"observed_at":"2026-08-11T23:24:48.891789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.868671Z","title":"Ou,On the classification of entire solutions to the criticalp-Laplace equation, Math","venue":null,"work_id":"70c28395-8f35-4327-b8b4-89725ffbe21c","year":2025},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.611797Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:3fb1a0d8d44688e94deffbdd4d49b0e926b7e41c536186c4f0a7b88f1226e119","observation_id":"eb875114-891c-4ef7-a783-0190eab504f2","resolution":{"observed_at":"2026-08-11T23:24:48.873631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.05990","last_updated":"2026-06-04T10:35:16Z","snapshot_observed_at":"2026-08-07T03:41:13.452696Z","submitted_at":"2026-06-04T10:35:16Z","title":"A Pohozaev-type neck proof of a conditional Harnack inequality in the critical $p$-Laplacian setting","version":1},"cited_work":{"arxiv_id":"2606.05990","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.05990","snapshot_observed_at":"2026-08-11T23:24:48.686596Z","title":"A Pohozaev-type neck proof of a conditional Harnack inequality in the critical $p$-Laplacian setting","venue":"math.AP","work_id":"eab2824b-28e4-42de-ba56-2b3d34c6aa52","year":2026},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.616289Z"},"links":{"cited_paper":"/paper/2606.05990","citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:2f111e691813c1bf9c271015e92c081f5f65a9daacfe52dd423ebdb57325d498","observation_id":"d48c21bc-b549-4c48-b877-c8ac600c0f81","resolution":{"observed_at":"2026-08-11T23:24:48.694403Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.852821Z","title":"Schoen and D","venue":null,"work_id":"a5cf4e1a-34d8-4669-861a-13d425ad8aba","year":1996},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.621419Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:7a22091d868e03ed46784932afe23b74c286dd23fb755b021b63c80e4a250a9f","observation_id":"19fe9942-7c79-420d-a05c-aa85e3a60a09","resolution":{"observed_at":"2026-08-11T23:24:48.857793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.837292Z","title":"Sciunzi,Classification of positiveD 1,p(RN)-solutions to the criticalp-Laplace equation inRN, Adv","venue":null,"work_id":"50509c7e-b5f2-4140-ba85-b7a0cae192bf","year":2016},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.626235Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:f326ccf6b893f88bb1875b71d27da62579952b1dd586102021c0711f3bce4216","observation_id":"57c8e54e-f70d-43a2-9867-1aab1f7bdee4","resolution":{"observed_at":"2026-08-11T23:24:48.842519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.821810Z","title":"Tolksdorf,Regularity for a more general class of quasilinear elliptic equations, J","venue":null,"work_id":"8cf1f421-207c-4420-bb49-f36de083dea0","year":1984},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.630808Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:05836523b8e6742ef40c566154b7ca6b95d62ee1c20b8837078beab95cabc4cf","observation_id":"4ba6904a-beab-43a1-95b3-344953aececf","resolution":{"observed_at":"2026-08-11T23:24:48.826953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.806423Z","title":null,"venue":null,"work_id":"da638605-7b23-4f51-8b7d-a7f7462a65e5","year":1984},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.635427Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:68366cdfb4a471f4418387524c6e9313a9154eccdd5994c3930641f7d1d2d7f5","observation_id":"2a563152-11e5-447d-96c9-a7dda8d5fce1","resolution":{"observed_at":"2026-08-11T23:24:48.811339Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.640003Z","title":"Vétois,A priori estimates and application to the symmetry of solutions for criticalp-Laplace equations, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.640003Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:ae616c0f9baf3dea71a81bd8819cd7055ff9695de8da0d607b3b5cfbbdff06d6","observation_id":"f818f263-ab9d-4601-8d6d-00cb93f36536","resolution":{"observed_at":"2026-08-11T23:24:48.640003Z","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":"2026-08-11T23:24:48.779990Z","title":"Vétois,A note on the classification of positive solutions to the criticalp-Laplace equation in Rn, Adv","venue":null,"work_id":"6ec4b38c-2129-4584-9736-57cd5fe6299d","year":2024},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.644519Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:756a506219f42cbb1c1cb8b361ff11d5ff2b69da82292c251750703fc0a88dbb","observation_id":"8de1633b-e01d-4f55-bdcb-9d2b61118498","resolution":{"observed_at":"2026-08-11T23:24:48.785368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T23:24:48.763826Z","title":"Yan and H","venue":null,"work_id":"b46412d7-a37c-424e-b9df-6d6d8811325f","year":2026},"citing_paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T23:24:48.648910Z"},"links":{"citing_paper":"/paper/2608.09113"},"observation_digest":"sha256:54318de666717c3f8d08edc9603f5df6afb61e747c566a77abae12ae881df042","observation_id":"a85cdc44-babe-41ad-879d-2d358a2860f9","resolution":{"observed_at":"2026-08-11T23:24:48.769093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.09113","last_updated":"2026-08-10T04:38:55Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T14:16:23.422430Z","submitted_at":"2026-08-10T04:38:55Z","title":"Critical $p$-Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":2,"verified_fuzzy":30},"total_outbound_references":42},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2608.09113."}