{"as_of":"2026-08-08T19:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:82ac54da59412df9f0aaa1568f428e857c9d91602bb60cc536fa8f3815dbfa9b","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T13:30:37.088138Z","state":"measured"},{"denominator":57,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":57,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-30T18:56:19.983957Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.20725","snapshot_observed_at":"2026-07-30T18:56:19.983957Z","title":"Bartolucci, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.26861","last_updated":"2026-07-29T12:45:16Z","snapshot_observed_at":"2026-08-01T23:36:56.275130Z","submitted_at":"2026-07-29T12:45:16Z","title":"Qualitative bifurcation diagram for Grad-Shafranov type equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-30T18:56:19.983957Z"},"links":{"cited_paper":"/paper/2507.20725","citing_paper":"/paper/2607.26861"},"observation_digest":"sha256:d33e5dfe3b4b2d19cf8a54025da1882d5bb8d9e99a150d6e575662318c5abe76","observation_id":"6d691892-abc3-4f99-9b47-2309a8196356","resolution":{"observed_at":"2026-07-30T18:56:19.983957Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.20725/citation-record","integrity":"/paper/2507.20725/integrity","json":"/paper/2507.20725/citation-record.json","paper":"/paper/2507.20725"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:30:32.170166Z","title":"Ambrosetti, G","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.170166Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:b173704a6fb5404e951ec0550aeab79e31577bd4730511d19a04658286a02988","observation_id":"26e5d440-876d-450a-ae9e-fdbc02b3155e","resolution":{"observed_at":"2026-08-06T13:30:32.170166Z","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":"2026-08-06T13:30:42.121952Z","title":"Bartolucci, A","venue":null,"work_id":"7f79d9fb-ea83-4b25-960f-f378fb783e52","year":2022},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.227186Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:2aa672bcef34956c4c4ad3e77b1a1fe5bdc59060a8b0e8cba500accdbfe99e88","observation_id":"d88e027d-18c5-4691-8ca3-065d99a0cd50","resolution":{"observed_at":"2026-08-06T13:30:42.127228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:42.108159Z","title":"Bartolucci, A","venue":null,"work_id":"4a545abb-1055-48ee-9e43-983e627446ad","year":2022},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.288048Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:259755d0202372e82fb176a22abaa52cb288ed29859af415216c9adc8f8abc45","observation_id":"9a45da20-7e15-4a8d-8639-f95d20404956","resolution":{"observed_at":"2026-08-06T13:30:42.111388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:42.082949Z","title":"Bartolucci, A","venue":null,"work_id":"ad1746ce-5e75-46c2-baeb-1d04ab49b644","year":2022},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.353406Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:9de9a8a2c6d073e4cf52c47382e1d59c19ca7a1312fe8d6473bded34c5c443d7","observation_id":"14f23da9-d933-4999-925f-23c31aa45264","resolution":{"observed_at":"2026-08-06T13:30:42.095275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:42.058562Z","title":"Bartolucci, A","venue":null,"work_id":"a7fa8a1a-ef2b-4dc8-b6fb-15b5c29ca481","year":2025},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.454326Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:6e6c2ea05ddfc2bd5dc5a987b5cf6315bbd268103aec638b080300e5c8984423","observation_id":"730eded4-5140-470f-9bfe-2f4ad3f13beb","resolution":{"observed_at":"2026-08-06T13:30:42.063769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:42.020035Z","title":"Bandle, M","venue":null,"work_id":"8aa3bdd0-35ba-48c2-84b9-dfdba09528f8","year":1982},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.588193Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:a906d029aa772356766fe9e9abe6b31890d2fdb782a3838369b6f199fd6d3ee3","observation_id":"321bb8c3-7338-43c6-b11e-c9cb7f327411","resolution":{"observed_at":"2026-08-06T13:30:42.027348Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.989545Z","title":"Bandle, M","venue":null,"work_id":"fee9361d-9b17-4b8e-b2e1-3019549b2701","year":1983},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.631164Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:c0701c1e1e622b3936d2da72bd943112c25f4e93925e7ecde5088599eb2fc1e9","observation_id":"977c30f0-67e9-455b-804c-6d28cfa6a36b","resolution":{"observed_at":"2026-08-06T13:30:42.000556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.960448Z","title":"Bandle, M","venue":null,"work_id":"7f20b250-54e6-43af-8c40-1c642987a30d","year":1983},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.720651Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:ba678ef17dd2345c21c01b0b6f2b1a81edf7c6be1a95d1d0b5b27bf66dd824c6","observation_id":"fe5b6a3e-7773-477f-885f-d0838c1e1933","resolution":{"observed_at":"2026-08-06T13:30:41.977436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.909775Z","title":"Bandle, R.P","venue":null,"work_id":"19395745-3afd-4af3-901b-68c0d0bc3fd8","year":1983},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.845379Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:1e36bd9478dae28972ed184df194e86380cb5e2881959ccbdb745c31aac8731a","observation_id":"0e754932-2dcf-49b3-888c-cb73589a559f","resolution":{"observed_at":"2026-08-06T13:30:41.926492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.862054Z","title":"Beresticky, H","venue":null,"work_id":"fbf0231f-dbb4-4e09-a6e7-9eea91e71f40","year":1980},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:32.960737Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:9266bb22b938b3738e35d856099b7a0944ef5d8b42937cc7f267e5a524ec8890","observation_id":"d2f31937-733c-430c-98c1-336d31882f01","resolution":{"observed_at":"2026-08-06T13:30:41.873901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.807882Z","title":"Bertin, Dynamics of Galaxies , Cambridge U.P","venue":null,"work_id":"1639bcd1-d9a8-4e8b-9c4b-194cecafdaac","year":2014},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.084505Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:60c63562c9098e7f7b653bf15dab6b33dffc4b09e28f15c1161d4079d5db461b","observation_id":"b3bf4f57-0de9-4ca6-8a13-f45dab182680","resolution":{"observed_at":"2026-08-06T13:30:41.812220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.707920Z","title":"Brezis & F","venue":null,"work_id":"d16e7fa3-779a-4807-ac21-6ca94ffb7a5b","year":1991},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.147690Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:89b1f873c41567c5a080cf5cd72fd0073d1bbd525d5ec0a7584fc4cb32da7e79","observation_id":"849c6b59-c421-4c04-9bd4-e7bd91b8e33a","resolution":{"observed_at":"2026-08-06T13:30:41.734754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.650008Z","title":"Caffarelli, A","venue":null,"work_id":"e5c53f91-482c-447a-a7f3-c922b07680f0","year":1980},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.208680Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:cb133ca2c3c07258cf21b1252925a8387bdc6e80ccceb265fa25e80cd73ace84","observation_id":"1e852968-7f13-4054-8d6b-96b5a6ed58c3","resolution":{"observed_at":"2026-08-06T13:30:41.684747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.597786Z","title":null,"venue":null,"work_id":"2f74f5f3-cffb-4c69-a562-0c78809c6b3a","year":2010},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.299804Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:507a876ab2222ec009fa09e0c16038d6db354aab193d2f2745667c58b0e6010f","observation_id":"de94b611-0aaa-47c4-b165-3575cd59b740","resolution":{"observed_at":"2026-08-06T13:30:41.628476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.556243Z","title":null,"venue":null,"work_id":"d4d9e50d-a205-458c-89de-44048a1c89c5","year":1991},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.370808Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:d5d89b0da11d14ef06706b66a7d7540dfe37d7c5d472814a935ddb2c9ca617ce","observation_id":"c14e6308-8c5e-4334-ab94-cb759a2326b4","resolution":{"observed_at":"2026-08-06T13:30:41.576347Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.510255Z","title":null,"venue":null,"work_id":"88125b5e-5412-4095-9682-01ad374e40c1","year":1993},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.434400Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:a3cb0db6b386c2f31cb6ed7f35f6ab78d4d9977803211c1d1062881df2019a0c","observation_id":"e0ba2e95-db88-4972-9b2f-d88416e4a335","resolution":{"observed_at":"2026-08-06T13:30:41.519408Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.21402","last_updated":"2025-05-27T16:25:12Z","snapshot_observed_at":"2026-08-07T17:29:43.817168Z","submitted_at":"2025-05-27T16:25:12Z","title":"Simplicity and boundary behavior of spike sequences for a superlinear problem in plasma physics","version":1},"cited_work":{"arxiv_id":"2505.21402","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.21402","snapshot_observed_at":"2026-08-06T13:30:37.258636Z","title":"Simplicity and boundary behavior of spike sequences for a superlinear problem in plasma physics","venue":"math.AP","work_id":"c893de08-e3a9-433e-872e-cba8d69b0245","year":2025},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.453907Z"},"links":{"cited_paper":"/paper/2505.21402","citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:65018cf2c9be5ab852117df0013ca631a4fa694ee85bc983f801e6010bc3f35f","observation_id":"f141e5c6-09d5-4bae-8e14-039b9934bde2","resolution":{"observed_at":"2026-08-06T13:30:37.332911Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.468234Z","title":"Damascelli, M","venue":null,"work_id":"b14b278f-ebf9-49b3-bde7-ca7325611399","year":1999},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.575285Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:4ec9212e87c718cdc0541c9fc11919e09e1eed1e2b2013b7c47cbad325014112","observation_id":"abca78b1-7dd6-4434-9d8b-383d555e73a2","resolution":{"observed_at":"2026-08-06T13:30:41.471539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.457669Z","title":"Damlamian, Application de la dualit´ e non convex ` a un probl` eme non lin´ eaire ` a fronti` ere libre, C","venue":null,"work_id":"3bcc62f3-92ad-4459-b6e2-e3e1871719f5","year":1978},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.636078Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:2fa393e6f640931f8dd3022682ef49ab50043823f874ef08be399e07b7f2865a","observation_id":"bc38909a-d4ab-45a1-a0bc-4254b5f06e4e","resolution":{"observed_at":"2026-08-06T13:30:41.461255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.439609Z","title":"Dancer, S","venue":null,"work_id":"2f7cf50e-838b-4267-88e9-79b23d43dbe2","year":2008},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.725575Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:04320d2b2a33df49153e67c1f2094d7808de4d5816425b68fc448c9c40a17f4c","observation_id":"01b2428e-868c-46ca-bdc7-467bc5b83ab9","resolution":{"observed_at":"2026-08-06T13:30:41.444950Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.426906Z","title":"Flucher, J","venue":null,"work_id":"9d402601-3381-4519-80d2-61955b055c3e","year":1998},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.793653Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:f58b12cec0ab097a64ddff927a54608c391518806dd30dca4486fa6f3d71902e","observation_id":"18d5a5a1-b72c-4c43-9ed1-2feff1f87b98","resolution":{"observed_at":"2026-08-06T13:30:41.430156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.406910Z","title":"Freidberg, Ideal MHD, Cambridge U.P","venue":null,"work_id":"adeab85b-e4e9-4a69-bc97-b612bf2875f9","year":2014},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.872392Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:b5a4ddf196b7cd08eedca7dc34a4502abf703a558ac3812ec1874cde7cabc529","observation_id":"d6dd0c96-18c4-46c9-ac32-6e8e7dbccbf1","resolution":{"observed_at":"2026-08-06T13:30:41.410632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.359726Z","title":"Friedman, Y","venue":null,"work_id":"9ea2d8ed-88c5-4567-bd65-ce450683e981","year":1995},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:33.943740Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:97470f2dda4ba9ab107c42a2972d0ae19736d68454c606bca4591abb51c2dd23","observation_id":"bb25c395-5a08-48f2-b317-0b88de393961","resolution":{"observed_at":"2026-08-06T13:30:41.386732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:41.175776Z","title":"Gallou¨ et, Quelques remarques sur une ´ equation apparaissant en physique des plasmas , C","venue":null,"work_id":"bf12fdfc-89ba-42f5-93cb-6c817fb6d23d","year":1978},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.074801Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:ec15a1ef24f78a7015b10355717fbb57006442b1c1661ab2a020181ffd2e7b4d","observation_id":"87904ee2-1fe7-40ed-9bf6-975a7049d983","resolution":{"observed_at":"2026-08-06T13:30:41.284856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:34.168982Z","title":"Gidas, W.M","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.168982Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:ba41f299b29a4d2f516eb3c480ea93000a875ce7b5ee30bb3b0f49180f5bd747","observation_id":"4b6936f4-071c-45d0-a7d1-9cdd1889aa38","resolution":{"observed_at":"2026-08-06T13:30:34.168982Z","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":"2026-08-06T13:30:40.874742Z","title":"Ham & P.E","venue":null,"work_id":"fcc59d6c-5ef3-4eb5-96d1-43953bbd2aa3","year":2024},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.248581Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:4a228bf7ebaae1683ffba90307b98af6a050b6676e059b69e97e0af7bb1b1343","observation_id":"0a21897d-0b5b-4a35-b871-f78424cca4f6","resolution":{"observed_at":"2026-08-06T13:30:40.995679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:40.798262Z","title":"Horedt Applications in Astrophysics and related fields , Kluwer A.P","venue":null,"work_id":"88ea790d-b74c-419c-8b59-22d483e1a21f","year":2004},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.331250Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:232c5be094e80ef956e476a693409bb3c0a81ad46788ceb3cf8abcd9a110efc3","observation_id":"bbe932d7-e6f8-4938-a443-85c835d1ea90","resolution":{"observed_at":"2026-08-06T13:30:40.823208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:40.584728Z","title":"Jeyakumar, D","venue":null,"work_id":"2c6e97c8-26b8-49bb-a805-48e820e6ac9b","year":2021},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.398716Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:7a07aa5a86597f07d0be75b7c2a2f3a200187af475721631e2a15b1286ed42ba","observation_id":"316d985c-4f7c-487d-86d4-8a64d14a6082","resolution":{"observed_at":"2026-08-06T13:30:40.702275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:40.416760Z","title":"Kinderlehrer, L","venue":null,"work_id":"466f9a2b-970f-4ca1-a2bd-c6e01b897326","year":1978},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.470176Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:42a79949cf1402c95a2a55691d7817c08d4f0db8e5e46ab1a21934854ba15be8","observation_id":"17600198-4dfd-454a-8902-64060321c62c","resolution":{"observed_at":"2026-08-06T13:30:40.480779Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:40.244763Z","title":"Kinderlehrer, J","venue":null,"work_id":"131324e0-d11e-4b6a-bd93-eba7354291e7","year":1978},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.525039Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:803082803f8bd833ce079939d0fb3eb5eb99a9c5f1e9a2357a6154720ee96616","observation_id":"b5036a92-8a07-4563-aa70-41a5774e5707","resolution":{"observed_at":"2026-08-06T13:30:40.323990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:40.091575Z","title":"Korman, A global solution curve for a class of free boundary value problems arising in plasma physics , Appl","venue":null,"work_id":"91e74a2d-33a3-40fe-b768-c0a32ec9b02e","year":2015},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.622623Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:c39493f74e7cacf7ff2760bf56fab9519713451493a84f59faac42a97888187f","observation_id":"80a4cbe3-c3d9-4e2c-b875-422dfa14b90b","resolution":{"observed_at":"2026-08-06T13:30:40.120764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:40.024945Z","title":"Li, Harnack type inequality: the method of moving planes , Comm","venue":null,"work_id":"8fa31bc6-726b-4d2c-9af6-51f0b5beea2a","year":1999},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.703243Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:c82ee3780a18c4ebdc4cb67053e8d7f184f29f612a6d125035d5dc682a7257e2","observation_id":"e8d1ab36-1e50-43f2-bae2-8e5b04550ab1","resolution":{"observed_at":"2026-08-06T13:30:40.053147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.968364Z","title":null,"venue":null,"work_id":"4a68670b-a5dc-4527-a592-855eca4e960c","year":2015},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.736441Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:5e871028229dd9fce9b0d982be5c692928a035a9b1ecd718e83f2640f2cb972c","observation_id":"98bfaaf2-4335-4885-8ac4-cb2c4d4ddf7b","resolution":{"observed_at":"2026-08-06T13:30:39.980626Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.915376Z","title":"Li and I","venue":null,"work_id":"a52a3dae-4650-44b1-bacb-cd20f912466b","year":1994},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.796616Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:c6814d2305b57a5b26ac989c9e8850f7d4ce6235ab29337a1aa5ef4e6bef1804","observation_id":"347881dc-ba30-4036-8ec7-a874818eedba","resolution":{"observed_at":"2026-08-06T13:30:39.940382Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.885508Z","title":"Liu, Multiple solutions for a free boundary problem arising in plasma physics , Proc","venue":null,"work_id":"06b147a2-64e8-49c4-8f59-1cb859c128e5","year":2014},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.860182Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:4c68e7b87132e7b478d80e1fffafb21d37fc03be4c0ea3dcbebaac3b74b67221","observation_id":"108c77bf-94b7-446c-919e-27daf4972a4e","resolution":{"observed_at":"2026-08-06T13:30:39.895554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.842869Z","title":null,"venue":null,"work_id":"be84f137-7fdb-476d-93b4-95cff2df1b3b","year":2001},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.913224Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:f6368eb8f51f7cfba35994f46fc223ac560ceef1bbaecabc1650102d665bd075","observation_id":"e0d6b438-fbc8-4e06-96f4-3e3d528e96bc","resolution":{"observed_at":"2026-08-06T13:30:39.865750Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.694756Z","title":"Marcus, On uniqueness of boundary values of solutions of a problem arising in plasma physics , Math","venue":null,"work_id":"ad6ff78c-0b38-4632-ad5d-352385824de5","year":1985},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:34.980143Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:4bb79997ba4641c8c3a20da3441664b7da7fd12a1b263b5afc6c6bfcca6ce95d","observation_id":"bfdf6580-883f-481c-bc5a-68adcc190324","resolution":{"observed_at":"2026-08-06T13:30:39.744751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.624750Z","title":"Mitidieri, S.I","venue":null,"work_id":"45aaf642-c075-44fe-aab7-ce7f0b2cd4db","year":2001},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.040257Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:4e7de17af07e03665b22941e228cb575e2e75db4e9501c1900e65d2a3bc373f5","observation_id":"681f8f0d-259f-486d-9cd1-13b36990787f","resolution":{"observed_at":"2026-08-06T13:30:39.646434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.494759Z","title":"Ortega, Nonexistence of radial solutions of two elliptic boundary value problems , Proc","venue":null,"work_id":"91002f1f-b16a-4b94-8907-f94fc4260d52","year":1990},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.138568Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:b36e08b882f8c29b60e514b743af60c1cb7518f04baf311dc755b03fbf0f3762","observation_id":"c2e96eb3-d652-42fa-83cb-7bc5ea0c82c7","resolution":{"observed_at":"2026-08-06T13:30:39.534746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.426873Z","title":"Pentland et al","venue":null,"work_id":"7730f122-1dcc-48fa-ae36-05817fa6f3be","year":2025},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.235136Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:8e7f8558f0f35013dbfa48c5b43e5a38f179505326c9083061b6896043ec799c","observation_id":"531db564-dcb8-4fc0-980f-c6bd123089e7","resolution":{"observed_at":"2026-08-06T13:30:39.437460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.05674","last_updated":"2025-07-28T11:41:05Z","snapshot_observed_at":"2026-08-07T17:21:23.147412Z","submitted_at":"2025-03-07T18:34:41Z","title":"Multiple solutions to the static forward free-boundary Grad-Shafranov problem on MAST-U","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.05674","snapshot_observed_at":"2026-08-06T13:30:35.378739Z","title":"Pentland, N","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.378739Z"},"links":{"cited_paper":"/paper/2503.05674","citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:5da9c9e065e783f67ec4bcf3a66a49ce4b5fda98a69f7f84b8b8129119dfcb96","observation_id":"26d3c608-0e21-417b-9d70-c2f5520cb34e","resolution":{"observed_at":"2026-08-06T13:30:35.378739Z","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":"2026-08-06T13:30:39.365383Z","title":"Puel (with A","venue":null,"work_id":"13a07f46-a431-4fe2-a33e-38000e4a07e5","year":1978},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.470038Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:49c73408a2b9ddc5ec9c72355e7ca9d8f221b000083fd80e0a5a08308a13eb7a","observation_id":"b180ad8d-bea2-4fdc-a17e-8ee38118c9c9","resolution":{"observed_at":"2026-08-06T13:30:39.384493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.315586Z","title":"Schaeffer, Non-uniqueness in the equilibrium shape of a confined plasma , Comm","venue":null,"work_id":"d282fb91-8446-467f-aa6d-ef761df4fe41","year":1977},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.544759Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:2e9eb9dffa604272c50f119afd5e71de0cc7e8dfa2f5ae5b74150a214a60a5e0","observation_id":"9705fd21-fe9d-47e7-bbca-cd26218dc881","resolution":{"observed_at":"2026-08-06T13:30:39.341033Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.237259Z","title":"Shibata, Asymptotic shape of a least energy solution to an elliptic free-boundary problem with nonautonomous nonlinearity, Asymptot","venue":null,"work_id":"f035060a-5a85-49c9-86f0-ccaebbafca6a","year":2002},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.628491Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:cb2b3e5f8b1d862de1209c2d6d3d875293afb4a9880e1e7c887b006902c3c0e6","observation_id":"90c07ef4-a4d1-4d4e-904d-58c4f8c73e0f","resolution":{"observed_at":"2026-08-06T13:30:39.241914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.147416Z","title":"Shibata, Asymptotic shape of a solution for the plasma problem in higher dimensional spaces , Comm","venue":null,"work_id":"8267e094-0c75-4005-b5c4-4bd5faf56083","year":2003},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.755863Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:878a563cf88f5242380511e9c32706be18e42beca092edc15b98333cd3926b92","observation_id":"a98135bb-bc42-46ed-9d13-3ebc941be77f","resolution":{"observed_at":"2026-08-06T13:30:39.155019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.110189Z","title":"Sijbrand, Bifurcation analysis of a nonlinear free boundary problem from plasma physics , Lect","venue":null,"work_id":"a9610f0c-89d9-4424-820e-f5544e185c3d","year":1979},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.834754Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:2b0c617461c635cf631c04e588e51aa9117ff2ebdd90f5bfcdfa16815ce21e22","observation_id":"53afe437-962c-4d20-b5e8-e16cb10a36aa","resolution":{"observed_at":"2026-08-06T13:30:39.113804Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:39.077495Z","title":"Sijbrand, Bifurcation analysis for a class of problems with a free boundary , Nonlinear Anal","venue":null,"work_id":"842a93e7-06c1-42b6-8db0-6cf478c571e7","year":1979},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:35.948197Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:e39cd5c6e6f22ed801365982251ec8028e9691819ac934652c7f3ffa71e2c1a7","observation_id":"6e404cb5-f02e-4cf8-9366-c1545061f7fe","resolution":{"observed_at":"2026-08-06T13:30:39.083669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:38.999073Z","title":"Stacey, Fusion Plasma Physics, Wiley-VCH 2005","venue":null,"work_id":"31eda4f8-2d75-4671-9165-f26031c5b996","year":2005},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:36.075463Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:0a8761a6dcbbdc76cdfecfed2245293d0b5d2e2fe5a3af091baee485ce0b6bc8","observation_id":"c32526b9-bf24-4ed9-b36f-009d7761955e","resolution":{"observed_at":"2026-08-06T13:30:39.045464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:38.667959Z","title":"Stampacchia, Le probl` eme de Dirichlet pour les ´ equations elliptiques du second ordre ` a coefficients discontinus, Ann","venue":null,"work_id":"13ec69c9-916c-4130-8293-1899485a05b2","year":1965},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:36.210710Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:f856cb21616641759c7ea5c50a3ce95c86878d476bcf3ec4341410dda42292f0","observation_id":"ca4b2a77-7096-4ea4-a8f4-e179d808d664","resolution":{"observed_at":"2026-08-06T13:30:38.811206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:38.446972Z","title":"Suzuki, R","venue":null,"work_id":"3c866771-2d1e-4b56-a1b6-2bea54b41724","year":2016},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:36.295857Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:d0bf3e9d59d3fbb689384b93e7944ccd6f01d8659dbc82c3f47310cd36df1233","observation_id":"d11ca94d-9602-498f-aa63-fbea4b4a751f","resolution":{"observed_at":"2026-08-06T13:30:38.550764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:38.276778Z","title":"Temam, A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma , Arch","venue":null,"work_id":"6fc32359-e820-410b-ad30-dbc2aab232f3","year":1975},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:36.412643Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:b915b30f7f7cf80cc08f962f65d16851b994128f498a398a3f418a93e45c62f4","observation_id":"2f993217-55bd-45ed-90d6-7d873f845f84","resolution":{"observed_at":"2026-08-06T13:30:38.364931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:38.093786Z","title":"Temam, Remarks on a free boundary value problem arising in plasma physics , Comm","venue":null,"work_id":"9c19f109-f593-4dd8-8a13-2a8fdb264c3c","year":1977},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:36.508758Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:a687b52e585ca41da59c1628bb151877c90448f6b17083facfee891b9e53b34c","observation_id":"0571884d-ee65-49fe-a989-8ce9987af7cc","resolution":{"observed_at":"2026-08-06T13:30:38.199323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:37.849781Z","title":"Wang, Some nonlinear elliptic equations with subcritical growth and critical behavior , Houston J","venue":null,"work_id":"4c5fbc1e-d889-4cd5-af38-8831bd0ecaf4","year":1990},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:36.660373Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:436e6f3a554f84e7cfab427db276eca1fd4fd5f2c5c31fce90582c98476c204c","observation_id":"72c68e64-55d9-498b-8270-393811906643","resolution":{"observed_at":"2026-08-06T13:30:37.938379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:36.773028Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:36.773028Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:e6aa41fe96056177fe10f9e8482c7ba46e88a7387e602344bb59011d93cd5f96","observation_id":"9a12427b-7f9c-4880-aa76-f3d9caf897a3","resolution":{"observed_at":"2026-08-06T13:30:36.773028Z","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":"2026-08-06T13:30:37.677145Z","title":"Wei, Multiple condensations for a nonlinear elliptic equation with sub-critical growth and critical behaviour , Proc","venue":null,"work_id":"9077c998-b0ca-4826-b7f8-bb60a8bbd226","year":2001},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:36.926851Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:2240e6b32c9d51067ee479bb49e4ebfa113b6a9b801a507389b02d07c8345ec5","observation_id":"d73cbb6a-193e-4551-b569-eab6dfe22033","resolution":{"observed_at":"2026-08-06T13:30:37.764695Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T13:30:37.476731Z","title":"Wolansky, Critical behavior of semi-linear elliptic equations with sub-critical exponents , Nonlinear Anal","venue":null,"work_id":"b04785f2-e912-472a-96ca-4678d5af82da","year":1996},"citing_paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T13:30:37.088138Z"},"links":{"citing_paper":"/paper/2507.20725"},"observation_digest":"sha256:aedfa5f8ab460ae2a79fa9edd9baf11fb2e079af4bd80bdee7d4845573d1bad7","observation_id":"6229c37d-a3b1-41a1-a8de-407eb688f16a","resolution":{"observed_at":"2026-08-06T13:30:37.553657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.20725","last_updated":"2025-07-28T11:24:08Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-06T13:30:30.545839Z","submitted_at":"2025-07-28T11:24:08Z","title":"Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":46},"total_outbound_references":56},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2507.20725."}