{"as_of":"2026-08-17T02:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4c18f6c810ed3f98acf59faf78aa00d153da8231aa40573274e5346581005f91","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":"2026-08-07T14:01:48.198171Z","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":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.20758/citation-record","integrity":"/paper/2505.20758/integrity","json":"/paper/2505.20758/citation-record.json","paper":"/paper/2505.20758"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:53.795231Z","title":null,"venue":null,"work_id":"bc69221f-3f52-4fc6-aeab-8784913c28d1","year":2007},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:44.645794Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:461abc08a8529fcb12e0ce1222129f7fd635e2bd88af26dba1c365f41b6f543b","observation_id":"209ab059-295a-4da1-87dd-9cca357f5d18","resolution":{"observed_at":"2026-08-07T14:01:53.900846Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:53.577353Z","title":"Aris, Mathematical modelling techniques, Research Notes in Mathematics , 24","venue":null,"work_id":"3220df0b-5a02-4de4-85bf-f748148cff5c","year":1979},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:44.689701Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:1eb2ebd6ec69161e00ae4cf85e41e8a08c3d6f6eb0b511fba4a7be32fba3b9e6","observation_id":"169aebc0-ae9b-42f3-a093-acbd4fed8b4e","resolution":{"observed_at":"2026-08-07T14:01:53.684200Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:53.394261Z","title":"Ambrosio, D","venue":null,"work_id":"a0f12ed4-81dd-4335-82cf-040610b2c4c0","year":2021},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:44.753150Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:6debf3c9cac67fb045580ade5f52a8441493361ab9b9a6f9847b2621976a7e4b","observation_id":"1ffac048-9d02-495e-9058-2c258e86946c","resolution":{"observed_at":"2026-08-07T14:01:53.474632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:53.212072Z","title":"Baldelli, Y","venue":null,"work_id":"6728b2fb-4dfe-4588-bdde-ca711bf44387","year":2021},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:44.827934Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:7a457aad4f6fbb506ae69a06cdc22f4739d7623f63a9b055607d274b4cc3fd7b","observation_id":"b9c9feb5-033b-44c8-a0a9-1f283aceb96e","resolution":{"observed_at":"2026-08-07T14:01:53.285375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:53.040008Z","title":"Baldelli, Y","venue":null,"work_id":"0163982c-058f-4220-a14e-dd488e5fdb91","year":2022},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:44.949859Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:10ed387e6d54e11500d00198660428e9e25f03dcf55a8d971c336dfcd485cf7a","observation_id":"4bdc01a9-1046-43f2-9e71-8bd63883e51b","resolution":{"observed_at":"2026-08-07T14:01:53.139405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.967716Z","title":"Baldelli, R","venue":null,"work_id":"4517f2b6-3f60-4c60-b887-08727824ad9d","year":2022},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.032390Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:35fa7dc14fba39a226608b6e7319653f3b86baaef56eef75aefa259d65479116","observation_id":"662b51df-7d3e-44c4-b3a2-3d662803c6ff","resolution":{"observed_at":"2026-08-07T14:01:52.973098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/eect.2022033","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Evolution equations and control theory","work_id":"ec2f13f3-7188-4dc1-9578-9b16e18262fd","year":2023},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.168297Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:1fd1fe3baf6c1c3deea0553433576ce32f8d9eefa7fc44097b4931064940bed3","observation_id":"8d59a459-a016-4570-b263-554f5520e525","resolution":{"observed_at":"2026-08-07T14:01:48.769384Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.885499Z","title":"Bellazzini, L","venue":null,"work_id":"3a83c842-2ebb-4a79-afe1-a1375ac5e606","year":2013},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.292600Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:54a5423bca08008867927dff88a1c59b0fcac265655356a31f66c632e9537ece","observation_id":"72098091-c594-45fc-8639-08787318e539","resolution":{"observed_at":"2026-08-07T14:01:52.962510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.729510Z","title":"Br´ ezis, E","venue":null,"work_id":"f6a97974-cc4e-4682-84b4-cfe9fbd0244f","year":1983},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.387615Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:dadb2bf0e714ce91bdadeeb1b582ab6db3cf7d3598d6a47cf6884ced0d52ad0f","observation_id":"8d0b83db-067f-4ec3-a908-1d46c1d8134e","resolution":{"observed_at":"2026-08-07T14:01:52.787315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.590456Z","title":"Berestycki, P","venue":null,"work_id":"87e9cd88-2961-42e4-97a1-9ec6a539b7d1","year":1983},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.449589Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:1eb98b58acdf5f110aa28fe5d6551dd2da9ee3a5c6c7192cf446691283735dd2","observation_id":"60388597-aeba-45f1-8a92-229d1019df09","resolution":{"observed_at":"2026-08-07T14:01:52.651768Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.478992Z","title":"Bellazzini, L","venue":null,"work_id":"98e6756c-f12c-4176-890a-3a0188483630","year":2023},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.534781Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:88b02d598a42404c5b93a175681fe6912bc49985b816e54f5c9b029459a09a85","observation_id":"da21a975-331d-42cc-bf08-8f4f49fcf09c","resolution":{"observed_at":"2026-08-07T14:01:52.543472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s42985-020-00036-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Bartsch, Y","venue":"Partial Differential Equations and Applications","work_id":"179d661b-3bdc-45b2-b530-08dd281af5cb","year":2020},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.641415Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:b5cf3424edca4f9c43ed59cc7430c7067c25c90713ac5192ef68057ed435f7ec","observation_id":"86623fb0-273c-4a47-b815-6bd9e01d1425","resolution":{"observed_at":"2026-08-07T14:01:48.688011Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-08-07T18:18:05.992437+00:00","source":"paper_reference_links","state":"open"},"event_date":"2021-01-05","event_type":"correction","notice_doi":"10.1007/s42985-020-00041-z","provenance":{"observed_at":"2026-07-11T03:03:43.506038+00:00","source":"crossref","source_record_id":"10.1007/s42985-020-00041-z->10.1007/s42985-020-00036-w:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.342008Z","title":"Benci, A","venue":null,"work_id":"cd42482c-6357-46f0-b1ad-73fa381d2895","year":2002},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.724654Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:d89356f995e6bebb8778dc673ec9d1d3d04fb1d62b6018e32331e24978390e14","observation_id":"99481c68-8e0c-4d55-84f3-b7ac6bcfa134","resolution":{"observed_at":"2026-08-07T14:01:52.410455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.245054Z","title":"Bartsch, S","venue":null,"work_id":"a349a333-9360-4734-87c8-6ddb3fa5015a","year":2013},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.823191Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:c65e7b7823534262552c9977c10e6ae19c6a5ec27df78ee0f82b8e9ac4db0c49","observation_id":"1d0ffd1e-8b58-4944-b7f3-6f351f122158","resolution":{"observed_at":"2026-08-07T14:01:52.275813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.14873","last_updated":"2023-02-02T20:07:19Z","snapshot_observed_at":"2026-08-16T16:05:11.946712Z","submitted_at":"2022-12-30T18:39:51Z","title":"Normalized solutions to a class of $(2,q)$-Laplacian equations","version":3},"cited_work":{"arxiv_id":"2212.14873","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.14873","snapshot_observed_at":"2026-08-07T14:01:48.837818Z","title":"Normalized solutions to a class of $(2,q)$-Laplacian equations","venue":"math.AP","work_id":"c8913fe0-1ca2-4aff-9c66-9b9457730ea9","year":2022},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:45.918426Z"},"links":{"cited_paper":"/paper/2212.14873","citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:d9edded2bd4fa0c8203ef8d09a185db2dbae7ceefe6321b95d72124119101a74","observation_id":"0bc8fafa-b6d6-4611-ae71-de9e4ef6a275","resolution":{"observed_at":"2026-08-07T14:01:48.918770Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.129364Z","title":"Cazenave, Semilinear Schr¨ odinger equations,Courant Lecture Notes in Mathematics , vol","venue":null,"work_id":"a333b12a-1e21-4498-95e7-ec557f4da84a","year":2003},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.035416Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:b409cccb987481784644e21b9ea384766fff75e40672839f1bce79dc32d4f568","observation_id":"68027bf9-a19e-407a-a48f-0dcff11e4be8","resolution":{"observed_at":"2026-08-07T14:01:52.183689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:52.014409Z","title":"Cherfils, Y","venue":null,"work_id":"b02879f1-820d-4ba0-aa0c-a87614b76ed3","year":2005},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.139821Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:f2d2ef94284b9e46466685ee6b2340b838a8bb27c66bee9a48dbd115e330a340","observation_id":"e837718a-74c6-4fdd-8eaf-00584a74dd93","resolution":{"observed_at":"2026-08-07T14:01:52.075032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:51.904222Z","title":null,"venue":null,"work_id":"33d584e5-c484-443c-892f-c6a5d3630409","year":2024},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.224134Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:816b9884a80cc62c472933e643adad8abe5736775de38db0c898b0f0376dcf6c","observation_id":"57c715cd-306d-4bbc-8c58-354477d8f1b1","resolution":{"observed_at":"2026-08-07T14:01:51.964559Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:51.788560Z","title":"Cingolani, K","venue":null,"work_id":"1273f76d-76fb-4ec2-bdd7-0eb69b563bbf","year":2021},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.302595Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:225f37bfc8d26612065c0d7814fde65bcf1f2a2bf48787b24ce5028d6befc743","observation_id":"6c7c176d-c2e6-4c92-b2e8-b753e08a9ecb","resolution":{"observed_at":"2026-08-07T14:01:51.848655Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:51.680166Z","title":"Derrick, Comments on nonlinear wave equations as models for elementary particiles, J","venue":null,"work_id":"7614b87d-b52f-41ac-8bdf-4fb56f311c94","year":1964},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.400087Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:690d0b55485b6f1e6c96b8070e8bcb6048cb3c65be2b206b5008781880e938da","observation_id":"c3ef8923-2624-4ecb-9e3c-b78c42dceec1","resolution":{"observed_at":"2026-08-07T14:01:51.731723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s12220-025-01920-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of Geometric Analysis","work_id":"6795809c-684f-4d94-8d28-a9eb26bca030","year":2025},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.507306Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:27bdab2c8bfc5c5af034aa45d0cb9bf57c64e81a4dfc6c12325691752646dcf2","observation_id":"572c66f9-1d77-47d1-8d6a-1486c2a09730","resolution":{"observed_at":"2026-08-07T14:01:48.525589Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:51.590689Z","title":null,"venue":null,"work_id":"833b02bd-02e8-4199-a76b-7c1577f2bd8d","year":null},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.616480Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:6fcece7ba4c949a52782a7c090a824434784d4350e13d874bdbe1aed958e6283","observation_id":"bbb72f75-074a-44c5-bc84-b4649081238b","resolution":{"observed_at":"2026-08-07T14:01:51.637227Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:51.297629Z","title":"Genoud, An inhomogeneous, L2-critical, nonlinear Schr¨ odinger equation, Z","venue":null,"work_id":"55d7e5ef-dd01-413a-9754-91829afcea77","year":2012},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.803110Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:8b8b2a14efa3bd56333672cdc94c25a401235da2f09c2daff7b2fe4219376749","observation_id":"e9722f63-4ac4-47fd-8106-1453e0ece806","resolution":{"observed_at":"2026-08-07T14:01:51.387428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:51.164755Z","title":null,"venue":null,"work_id":"f542dfce-7c13-4fb8-80bc-b457bbaadf0d","year":2017},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.865316Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:aa8b021bdc21980a1e4b06ae2a8527cacf6387381bc966d7be5ebedb373cf832","observation_id":"36639812-0568-4c9e-8b51-2066f793688e","resolution":{"observed_at":"2026-08-07T14:01:51.211524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:51.029499Z","title":"Guefaifia, S","venue":null,"work_id":"1eddfdef-89cb-4573-b5a4-56b9b5dbc3b0","year":2020},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.971164Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:95fe0629537243c650aa9d0bec1c164a32455ba4715f66a2f3d5f39f79d9a0da","observation_id":"d222f0a1-18d1-4dbf-90bc-6b63f068d006","resolution":{"observed_at":"2026-08-07T14:01:51.096814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:50.818711Z","title":null,"venue":null,"work_id":"f7fbd678-270f-4bae-af20-dac841ffe01f","year":2008},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.031989Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:19f47fc2674d21e130cc1c5c4444fc476adf8a6e7706335dab15fa49094af80e","observation_id":"238c3b31-08bb-48fe-b31b-d170e6fc9ced","resolution":{"observed_at":"2026-08-07T14:01:50.905467Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:50.656597Z","title":null,"venue":null,"work_id":"ad6ee2be-7474-4928-ad01-5961db67e706","year":2008},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.090460Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:dc2c49020dac380b35dd14b3ac4a2008d04e532d5416d20ac89e450e34120a49","observation_id":"afaca9d3-949b-4d69-8551-0c26f0d9f88c","resolution":{"observed_at":"2026-08-07T14:01:50.726411Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:51.471191Z","title":null,"venue":null,"work_id":"7f97b5a3-f152-4895-9d54-66808cc3217f","year":1979},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:46.693820Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:1231b1c33fd0ab147ab1b5aec5ad7de982940badde0123b21ac15d762b3b5774","observation_id":"d7612f95-58ac-4785-a498-1a77c680a7d7","resolution":{"observed_at":"2026-08-07T14:01:51.530202Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:50.486251Z","title":null,"venue":null,"work_id":"2f96eb0f-71b4-4563-87d2-1e478f20b0ec","year":2018},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.182222Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:1719b83d3b4b2789a25d33826b57d4546751e97ba648d885f43be0718f320c42","observation_id":"c0b398e5-56b5-4c9d-8678-27a60763c264","resolution":{"observed_at":"2026-08-07T14:01:50.570226Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:50.337155Z","title":"Jeanjean, Existence of solutions with prescribed norm for semilinear elliptic equations, Nonlinear Anal., 28 (1997), 1633–1659","venue":null,"work_id":"fcb2f20f-506b-4b3c-8238-179b68f44957","year":1997},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.251803Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:0313ac88bf71a69f742dd05d74f34d716ce5e5e1be90136ec817d077b52e3409","observation_id":"aaf4eff9-95f8-4a94-aad5-7272a13344d2","resolution":{"observed_at":"2026-08-07T14:01:50.399230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.03845","last_updated":"2026-07-31T13:10:51Z","snapshot_observed_at":"2026-08-16T12:59:29.332129Z","submitted_at":"2025-01-07T14:56:29Z","title":"Serrin-type Overdetermination in Scaling Limits: Sharp Existence and Asymptotic Behavior of Quasi-linear Schr\\\"odinger Energy Ground States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.03845","snapshot_observed_at":"2026-08-07T14:01:47.303703Z","title":"Jeanjean, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.303703Z"},"links":{"cited_paper":"/paper/2501.03845","citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:69ba5f92022518fb00e856985d631d8f86fd28a436241f35dc6b4ffb54410237","observation_id":"a3d259ec-8ad9-4c7e-b139-3dedb383beab","resolution":{"observed_at":"2026-08-07T14:01:47.303703Z","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":"2026-08-07T14:01:50.191951Z","title":null,"venue":null,"work_id":"da3c7768-366b-4b31-882e-0b1325a710bb","year":1984},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.361910Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:f80aa1a6bac0a3a050abbfa6f2a1966b95bbf269a7607b6866ebc3e0726c2616","observation_id":"34db2249-99a0-4216-90f2-2d7efda61ad1","resolution":{"observed_at":"2026-08-07T14:01:50.255767Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:50.052776Z","title":"Luo, Multiplicity of normalized solutions for a class of nonlinear Schr¨ odinger-Poisson-Slater equa- tions, J","venue":null,"work_id":"38648302-b129-4bc3-a542-e59c1f99697c","year":2014},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.418211Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:d3e1dc81c725d14f3efbc391ced68398d3c0a8dff6879b90260df7a776162042","observation_id":"c65fc7f1-da48-497d-98c8-5d2e1d19145c","resolution":{"observed_at":"2026-08-07T14:01:50.126588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:49.945304Z","title":null,"venue":null,"work_id":"0113dfc3-9275-40cf-8822-601c2dda9f34","year":2022},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.528755Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:66506c09b39893d6ac1ce4ecc0287d3ab447e69f9ccdb0d5dad2d80b7ff7e8d4","observation_id":"d642f501-f25a-4643-98b1-6855541ce736","resolution":{"observed_at":"2026-08-07T14:01:50.003641Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:49.808692Z","title":null,"venue":null,"work_id":"d9b9214f-71a8-4491-ab85-d6da96faf1b7","year":2001},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.598164Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:b38f2a0c127b1f86549155146f3060668f697e3cc08f18f918f077db0d25169b","observation_id":"1bd9000d-20c2-4b6b-89a8-6d0f68a434e0","resolution":{"observed_at":"2026-08-07T14:01:49.881511Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:49.683947Z","title":null,"venue":null,"work_id":"ab568678-6048-4c58-83d5-95a504a79ccd","year":2017},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.695141Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:0e39fcd6ea49665db07b20544e3da1ed5f72f7b97dc0b463f62ff5f319c0f3f3","observation_id":"a5b5c1e9-14f9-4e94-8266-15b9672fd3a7","resolution":{"observed_at":"2026-08-07T14:01:49.733954Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:49.520335Z","title":null,"venue":null,"work_id":"fca9f194-bb60-415d-8e95-64eae0b3722b","year":2018},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.783746Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:3fd77bc78a778b2a37cfa0ee5c0932af9b2f5b1956eef065ff9e9bc29a568585","observation_id":"e19f2cd8-5dea-4dec-8ac4-b41ce86f2f19","resolution":{"observed_at":"2026-08-07T14:01:49.613731Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:49.408294Z","title":null,"venue":null,"work_id":"e45e3d93-2c3d-406e-b3e1-4b06839de866","year":2018},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.839862Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:be4ea774d16f440be44f34493bbd22190acf2e2fff398e208c61c972bb24d214","observation_id":"b492a011-e7eb-496c-bcc8-116909c22cc8","resolution":{"observed_at":"2026-08-07T14:01:49.476880Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11071-024-10274-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:03:40.895421Z","title":"dos Santos, D","venue":"Nonlinear Dynamics","work_id":"91209430-db6f-4f2e-a6df-d43fb4a08044","year":2025},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.934802Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:459c01233623650d8dad735a03488b25a77b3b3eaef3a219ce5f0fd42da8d770","observation_id":"b2be3958-7b98-4e7c-99de-fc4a2242f950","resolution":{"observed_at":"2026-08-07T14:01:48.387673Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:49.268301Z","title":"Zhang, G","venue":null,"work_id":"8b298b32-cacb-4625-a538-94493e0c6ac4","year":2020},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:47.997515Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:475a0d377708b644e3f14ea7e30750e3bff93dbfa9c48bdb2a3a25bce3d9d4e8","observation_id":"0e75d326-e366-4688-8789-160713cdcdb7","resolution":{"observed_at":"2026-08-07T14:01:49.315163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:49.116092Z","title":null,"venue":null,"work_id":"00b6800c-6ebf-4de4-8e8f-2389e6fd05ca","year":2025},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:48.119100Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:62acbbe9de832f30422357db14e66e3950236a8e309639b5f42582afe4a741ba","observation_id":"77120090-0d7f-421c-b3b1-a254527ddb0a","resolution":{"observed_at":"2026-08-07T14:01:49.171811Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:01:48.987640Z","title":"Zhang, J","venue":null,"work_id":"4edcb31b-10cc-4484-9241-bf57c963e55f","year":2023},"citing_paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T14:01:48.198171Z"},"links":{"citing_paper":"/paper/2505.20758"},"observation_digest":"sha256:29253cd05b29e43ec206b13b9eba0d6071c5bf8709934ecd721e60316480620e","observation_id":"c7774c7a-3152-423e-902f-e9150d9dacdc","resolution":{"observed_at":"2026-08-07T14:01:49.040407Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.20758","last_updated":"2025-05-31T14:48:05Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T17:03:37.498500Z","submitted_at":"2025-05-27T06:01:50Z","title":"Ground state solutions of a class of (2,q)-Laplacian Schr\\\"odinger equations with inhomogeneous nonlinearity"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":5,"verified_fuzzy":21},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2505.20758."}