{"as_of":"2026-08-14T11:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fbfdaccad78d33631686fce950e30a163bbc1a2aa9ffafc9f16dcde92527ea27","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T11:04:55.129761Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2411.18710/citation-record","integrity":"/paper/2411.18710/integrity","json":"/paper/2411.18710/citation-record.json","paper":"/paper/2411.18710"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.001098Z","title":"Alt, L.A","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.001098Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:8e7f93f47f08915367693d4cc1408681fa7a921ec4fb2010d8a19017f62187c4","observation_id":"39260274-a243-468e-bc18-93784f21bb7b","resolution":{"observed_at":"2026-08-12T11:04:55.001098Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.005975Z","title":"Alt, L.A","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.005975Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:83b14a16cc9716e39605a16e9752ecbf528944b0ecd7341ecfc3c1220991b323","observation_id":"33d85c84-e02e-4788-b29b-8e56acf9fbae","resolution":{"observed_at":"2026-08-12T11:04:55.005975Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.010556Z","title":"Batchelor, On steady laminar ﬂow with closed streamlines at lar ge Reynolds number, J","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.010556Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:98d32f1bc028208d2192980d33c9506085768c30f2c3bcd16fb5d1030ebbaeca","observation_id":"296bd558-020b-4fec-9a5c-963b121adcf7","resolution":{"observed_at":"2026-08-12T11:04:55.010556Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.015012Z","title":"Batchelor, A proposal concerning laminar wakes behind bluﬀ b odies at large Reynolds number, J","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.015012Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:6185d29707b25cce28208a817d7cc6c060ffcad9f312d7181547d4218351be82","observation_id":"c316cd33-9abe-4a8f-93d8-d8517ca64aa6","resolution":{"observed_at":"2026-08-12T11:04:55.015012Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.019545Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.019545Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:07428e6506b6bb90d4cebea35d0b9171c22515a5ce7346a4f122fa2ce5208deb","observation_id":"403181be-ed65-4960-9b4b-e55d560489c6","resolution":{"observed_at":"2026-08-12T11:04:55.019545Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.024471Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.024471Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:eeb83347ec5d9d42dabe180b0097f8378920a8f132296feceab1db8f7c4762ab","observation_id":"0e738b59-721b-4555-9cc9-038d8f150885","resolution":{"observed_at":"2026-08-12T11:04:55.024471Z","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":"2026-08-12T11:04:55.601266Z","title":"Caﬀarelli, D","venue":null,"work_id":"9b84cc59-4315-47b5-8056-1dd5fd672647","year":2002},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.029484Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:e37fe8c08f9595244d9ce6a0901dbfa63ae2ce473fe5898d4defdfbc977e191b","observation_id":"c4357f9a-a006-4a8a-87a3-fca0e2b824e6","resolution":{"observed_at":"2026-08-12T11:04:55.605748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T11:04:55.588142Z","title":"Caﬀarelli, S","venue":null,"work_id":"79514e40-c998-4d58-a189-a54ed870143d","year":2005},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.033942Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:4fbaa728a4801644c8f2c4a8559cbd90d836dbe83191e74d4ad8ec6ae5a76f85","observation_id":"391ea0ea-43a1-47f9-a09e-ce5ec9b160fa","resolution":{"observed_at":"2026-08-12T11:04:55.592371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T11:04:55.575503Z","title":null,"venue":null,"work_id":"dbb0ef85-1e5b-4522-b03a-99223e263e7d","year":1989},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.038475Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:fcbb04f7c775e723b36d9ea07af2d8822c33646cf181bb057896a72259d91fcd","observation_id":"cdee8f2c-07b6-483d-a1a6-499f1b36dc95","resolution":{"observed_at":"2026-08-12T11:04:55.579619Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T11:04:55.562421Z","title":"Choudhuria, D.D","venue":null,"work_id":"d36d1a84-c6e3-4def-96d4-dd0be1b71341","year":2023},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.042650Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:58d6247e0db88279837145180808573cd11836710165a83c048937b5ab9b3fba","observation_id":"4bcfc9b3-9f0a-4e4a-bcd9-dfdf011a7984","resolution":{"observed_at":"2026-08-12T11:04:55.566798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T11:04:55.047105Z","title":"Choudhuri, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.047105Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:c258355789c8f169659f1a1aca4d248651b297938849d2d354f9999daaa7eb75","observation_id":"6d327de8-c8de-4c88-8ec9-55350951ef23","resolution":{"observed_at":"2026-08-12T11:04:55.047105Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.051091Z","title":"Danielli, A compact embedding theoremfor a class of degenera te Sobolev spaces,Rend Sem Mat Univ Poi Torino, 49(3), 1991, 399–420","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.051091Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:006d3f820a5735fcc195f77849da25dee5a8925c8d746c0e6e316b7a0eddd614","observation_id":"aaf6415a-0348-40d0-b344-f7203b4f084b","resolution":{"observed_at":"2026-08-12T11:04:55.051091Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.055328Z","title":"Danielli, Regularity at the boundary for solutions of nonlinear s ubel- liptic equations, Indiana Univ Math J, , 44(1), 1995, 269–286","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.055328Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:6c92ae9012309e46a03603874b755b600e5d5a7b7c16056054e917199039340f","observation_id":"df39fcf0-63fd-4673-a8d1-f211abf3f764","resolution":{"observed_at":"2026-08-12T11:04:55.055328Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.060196Z","title":"Danielli, N","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.060196Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:959fce8f87438a577db59fa408944e266f6fe771e92004c5579d3188a65f7fbf","observation_id":"e0655a84-24ad-41c0-a44d-338ddc52a36c","resolution":{"observed_at":"2026-08-12T11:04:55.060196Z","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":"2026-08-12T11:04:55.532515Z","title":"Danielli, N","venue":null,"work_id":"5b44b9f2-855a-4ada-b09b-f143dc20aec3","year":2003},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.064963Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:6aa1700f022b4ffb2934300ca4229f6bff63808d020e3844b08e393c594e7d0a","observation_id":"fe6c6e19-59f0-4c8a-85de-4d5167e3aac7","resolution":{"observed_at":"2026-08-12T11:04:55.536895Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T11:04:55.069455Z","title":"Elcrat, K","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.069455Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:158495f3c9409ceb4b0fcc58a46d16f381c34a6f03f20d62a0fdbea209ad080d","observation_id":"e6a8dfc1-3d13-40e1-8bdf-a9d017cdc8a5","resolution":{"observed_at":"2026-08-12T11:04:55.069455Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.073929Z","title":"Ferrari, N","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.073929Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:ac17e625f74d75b70dd2ed32b1f518f2a02502b7995bb401e4cecda5961b0cb0","observation_id":"91b555ab-cfdd-4e47-a487-197f44e03086","resolution":{"observed_at":"2026-08-12T11:04:55.073929Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.078123Z","title":"Ferrari, E","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.078123Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:a34964f27add86d17252d3977df9d5ac11e704d245cc3637e99740897fe9bced","observation_id":"2aeb204d-2dc9-471d-b665-66eec5ca3037","resolution":{"observed_at":"2026-08-12T11:04:55.078123Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.082279Z","title":"Friedman","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.082279Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:dec7eef9f909624c5fbfe263437daaef53aedf0fe5af64f6b024d7c6e00c4969","observation_id":"0bae9fbe-f0b5-4b50-8699-9b343a3994a8","resolution":{"observed_at":"2026-08-12T11:04:55.082279Z","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":"2026-08-12T11:04:55.379706Z","title":"Friedman, Y","venue":null,"work_id":"71e3cbcd-d441-41a4-a53d-ef7ee0f7c722","year":1995},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.086808Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:315a5893351565beaf238cf1bdb92e2bc6d55f025068b612435096d441ac8906","observation_id":"67026b79-9dfd-4226-a3d6-5f8b88f934f1","resolution":{"observed_at":"2026-08-12T11:04:55.384669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T11:04:55.090944Z","title":"Gilbarg, N.S","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.090944Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:ffc635ad4e8250295c3796441760567168dc564028ac7eea4b060aca311d6257","observation_id":"d4da453a-5c26-4c86-a598-df21851dc4aa","resolution":{"observed_at":"2026-08-12T11:04:55.090944Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.095272Z","title":"Jerison, K","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.095272Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:d93aad90cd9610672fa15fa882dedf908e0ec3dc3362e9172fcc7193d9e3c02d","observation_id":"1662f10a-1b73-486f-8f86-b11250ff30ef","resolution":{"observed_at":"2026-08-12T11:04:55.095272Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.099283Z","title":"Kinderlehrer, L","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.099283Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:19520a1f4b1cc110507f065ef310f859d9468936e437791af0c23e6787088ba3","observation_id":"cb5e160a-3fbb-4b68-9ec2-8fb9e1d0248b","resolution":{"observed_at":"2026-08-12T11:04:55.099283Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.103558Z","title":"Perera, On a class of elliptic free boundary problems with multip le solutions, Nonlinear Diﬀer","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.103558Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:16d3e11a2bb2ee5affeb60f1368018f40b75cbb31863ee0f3d8053a218fd6b21","observation_id":"aeea19f6-52bf-4b4c-a912-10844a8a5e0a","resolution":{"observed_at":"2026-08-12T11:04:55.103558Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.107750Z","title":"Ruzhansky, D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.107750Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:d1efa459be7fbba85ee8fb92624c82db520da9317e1e86640dc66dc0cb49ac1f","observation_id":"5070f282-1636-4008-aec6-299f329a5d84","resolution":{"observed_at":"2026-08-12T11:04:55.107750Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.111764Z","title":"Temam, A non-linear eigenvalue problem: the shape at equilibriu m of a conﬁned plasma,Arch","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.111764Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:2113be6d9eb90c07735128516c975a12145613a243b32193010da0baff50fc35","observation_id":"3e7ea1b8-13f0-4958-908e-54ac1ec23f60","resolution":{"observed_at":"2026-08-12T11:04:55.111764Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.116091Z","title":"Temam, Remarks on a free boundary value problem arising in pla sma physics,Commun","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.116091Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:5ee7ca2c5b331bd8a73055576bd10fa6af13cd7ebe2d3fbb15e8fc68b1a8cced","observation_id":"b639a139-14cf-482b-9fb1-d28bed8f635e","resolution":{"observed_at":"2026-08-12T11:04:55.116091Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.120761Z","title":"Weiss, Partial regularity for weak solutions of an elliptic free boundary prob- lem, Commun","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.120761Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:8b567bcb8c650bc029cbff9623dc7de3485336bcc5ad20268a7d95225931f399","observation_id":"d68afddc-3423-46a4-9615-4adf02287b69","resolution":{"observed_at":"2026-08-12T11:04:55.120761Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.125230Z","title":"Weiss, Partial regularity for a minimum problem with free boun dary, J","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.125230Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:a52e00a919a230b00d949f7b08bd5c01db5eb16a9779a76f4ba4f00302125d4d","observation_id":"aabf157c-d530-40bb-9e6f-dfd06cba27e6","resolution":{"observed_at":"2026-08-12T11:04:55.125230Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:04:55.129761Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T11:04:55.129761Z"},"links":{"citing_paper":"/paper/2411.18710"},"observation_digest":"sha256:2cf03dd0e0e64e5e1b5dbb7d128ca1bb636125b6fe1d73156ccf63b865d40b8e","observation_id":"fcdbe347-0f48-43e9-9d2c-1151f02d6baf","resolution":{"observed_at":"2026-08-12T11:04:55.129761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2411.18710","last_updated":"2024-11-27T19:24:35Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T10:55:12.314288Z","submitted_at":"2024-11-27T19:24:35Z","title":"Analysis of a free boundary problem on stratified Lie group"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":25,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":30},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2411.18710."}