{"as_of":"2026-08-15T18:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5708c3da4d0113153a493aeccd49454fb60560baf13fc0fce4d7c783f677b43a","coverage":[{"denominator":111,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T00:24:50.713675Z","state":"measured"},{"denominator":102,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":102,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T00:03:59.430890Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T08:30:56.778766Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18234","snapshot_observed_at":"2026-08-04T00:03:59.430890Z","title":"ATAEI,Existence and uniqueness of solutions to Liouville equation","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03491","last_updated":"2026-06-05T15:46:45Z","snapshot_observed_at":"2026-08-15T05:46:48.936060Z","submitted_at":"2025-11-05T14:17:39Z","title":"Dimensional reduction for anyons in the average-field approximation","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:59.430890Z"},"links":{"cited_paper":"/paper/2501.18234","citing_paper":"/paper/2511.03491"},"observation_digest":"sha256:65cc483a5534c77d48e9d82431d19737bd77a2db7fa053cbd433fbdd4071cf31","observation_id":"3f14389e-9074-44e4-b294-173a96d6a6fb","resolution":{"observed_at":"2026-08-04T00:03:59.430890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"cited_work":{"arxiv_id":"2501.18234","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.18234","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"DeepSeek-OCR: Contexts Optical Com- pression","venue":null,"work_id":"14b8c9f6-aeef-4756-aa67-00f7ce39f85c","year":2025},"citing_paper":{"arxiv_id":"2604.09995","last_updated":"2026-04-11T02:56:26Z","snapshot_observed_at":"2026-08-12T16:23:03.302051Z","submitted_at":"2026-04-11T02:56:26Z","title":"Agentic Application in Power Grid Static Analysis: Automatic Code Generation and Error Correction","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T16:37:01.111079Z"},"links":{"cited_paper":"/paper/2501.18234","citing_paper":"/paper/2604.09995"},"observation_digest":"sha256:61bd56c92daf4e6e70ad408348ffdb0f4bd3d2b599881fcd4a846780896b86fe","observation_id":"58bfb303-6521-4aef-96dd-aedb6c4d5a22","resolution":{"observed_at":"2026-05-11T08:30:56.780522Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.18234/citation-record","integrity":"/paper/2501.18234/integrity","json":"/paper/2501.18234/citation-record.json","paper":"/paper/2501.18234"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:24:50.422386Z","title":"Aharonov and A","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.422386Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:e3db7f00cbdafabab9f8f111a48825bb9ff07fc18e681bb74ae6a5a8dfad7e36","observation_id":"ea6d012c-1680-4fae-8f55-1f973bb69e5e","resolution":{"observed_at":"2026-08-10T00:24:50.422386Z","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":"2026-08-10T00:24:50.425980Z","title":"Ahlfor, An extension of Schwarz's lemma","venue":null,"work_id":null,"year":1938},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.425980Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:8acbed6a6127081cfa4eebd387efdc2b1950915969184fc9d1dbf6298aafe9f7","observation_id":"42e3259a-d18d-4d6d-8ef4-fd78ebe15ef1","resolution":{"observed_at":"2026-08-10T00:24:50.425980Z","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":"2026-08-10T00:24:50.429603Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.429603Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:47e90a44e0bf33d4c3e9313429aebb4a71c1aa660e25b832c6952b55cf6b1c71","observation_id":"fac38a52-26dc-4a4f-877c-d52cd2150c6a","resolution":{"observed_at":"2026-08-10T00:24:50.429603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09332","last_updated":"2025-04-12T12:30:34Z","snapshot_observed_at":"2026-08-14T05:59:08.409762Z","submitted_at":"2024-04-14T19:09:03Z","title":"A generalized Liouville equation and magnetic stability","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.09332","snapshot_observed_at":"2026-08-10T00:24:50.433239Z","title":"Ataei, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.433239Z"},"links":{"cited_paper":"/paper/2404.09332","citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:b95b954c179a18af1165d51bd8e756ba07e64f679557abe0ecf8bb5609406fe9","observation_id":"1dca4d2b-ae2e-4b4a-8268-9bc753935ed7","resolution":{"observed_at":"2026-08-10T00:24:50.433239Z","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":"2026-08-10T00:24:50.436964Z","title":"Aviles, Conformal complete metrics with prescribed nonnegative Gaussian curvature in ^2","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.436964Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:5b2c122c2e7c846332ee6a4f924ce6b47f7404d8f2d5e4ea521c28f5ff336549","observation_id":"12338c96-eda9-4f1c-95c2-80994b0041d7","resolution":{"observed_at":"2026-08-10T00:24:50.436964Z","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":"2026-08-10T00:24:50.440220Z","title":"Bartolomei et al, Fractional statistics in anyon collisions","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.440220Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:34d139914338e3608a09f358f3af2e07f0bb55e780c8e359831dd2aa62ccc622","observation_id":"b3d5f9b4-8a8d-4647-b1ee-708a8496f17c","resolution":{"observed_at":"2026-08-10T00:24:50.440220Z","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":"2026-08-10T00:24:50.443460Z","title":"Bartolucci, F","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.443460Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:8c70c627cb57edf37ff0350dd898c6583f2935a16e9e9b6f1edfdf6adf5a057e","observation_id":"acec5dbe-92e9-4cdb-a022-e49ee97b3008","resolution":{"observed_at":"2026-08-10T00:24:50.443460Z","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":"2026-08-10T00:24:50.446358Z","title":"Bartolucci and F","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.446358Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:6814ccb3fb761c73d126bd8d9e4e208b2c11ad0f08430ff3cea88eeb7947615a","observation_id":"e743f577-ea8b-4e6c-9a14-1412f4c9f0e1","resolution":{"observed_at":"2026-08-10T00:24:50.446358Z","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":"2026-08-10T00:24:50.449460Z","title":"Bartolucci, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.449460Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:f88877e3a59b37a422eda3c52543f54efeb2c69322297f0115b02b0d93388d4a","observation_id":"0386dd41-5bfb-4ee6-bf32-ed3891953558","resolution":{"observed_at":"2026-08-10T00:24:50.449460Z","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":"2026-08-10T00:24:50.452407Z","title":"Bartolucci and E","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.452407Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:2577d1913ff715598ae077f5d7301c34c3c36791116fc649b4cca52f445923c5","observation_id":"53e0174b-c5ef-42e3-872f-336c5adc08c1","resolution":{"observed_at":"2026-08-10T00:24:50.452407Z","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":"2026-08-10T00:24:50.454787Z","title":"Bartolucci and G","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.454787Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1606273f29c0cac431429e4a51ee5cdc1314b777d4cde8bcc6d2550aea5d874c","observation_id":"33dd2dca-4055-4bb0-848c-be1c7903e519","resolution":{"observed_at":"2026-08-10T00:24:50.454787Z","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":"2026-08-10T00:24:50.457301Z","title":"Bartolucci and G","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.457301Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:c18ef5751dfc573d5616974d48e71b37621dbb2ffd2d9c05355614d6b6c27faa","observation_id":"0ef30737-73a6-4b9d-b440-38b306f43323","resolution":{"observed_at":"2026-08-10T00:24:50.457301Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.12057","last_updated":"2025-01-03T13:31:56Z","snapshot_observed_at":"2026-08-13T04:37:40.810823Z","submitted_at":"2024-01-22T15:50:02Z","title":"Asymptotic Analysis and Uniqueness of blowup solutions of non-quantized singular mean field equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.12057","snapshot_observed_at":"2026-08-10T00:24:50.459587Z","title":"Bartolucci, W","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.459587Z"},"links":{"cited_paper":"/paper/2401.12057","citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:fabc17c83501db9489504548464d8d81bd3f077a8e7d26334456bf57a8a42556","observation_id":"c20078dc-216a-46c2-a835-06493328359e","resolution":{"observed_at":"2026-08-10T00:24:50.459587Z","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":"2026-08-10T00:24:50.462245Z","title":null,"venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.462245Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:16f1551f9a0e957223bf1b5d73c885df389d226dad5a702012ead121b3a7d5a8","observation_id":"40c969f7-2d72-44f6-9088-bfce8edf20a3","resolution":{"observed_at":"2026-08-10T00:24:50.462245Z","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":"2026-08-10T00:24:50.464606Z","title":"Brezis and F","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.464606Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:91ab3665185298b4c36248ac5a09f8f0a87db4d5c8a1b372186b1d658247b07a","observation_id":"7a7af3b5-6c23-4186-88f9-d18b8c2ce428","resolution":{"observed_at":"2026-08-10T00:24:50.464606Z","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":"2026-08-10T00:24:50.467067Z","title":"Caglioti, P.-L","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.467067Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ad862e52505c71a9e1aa18f429ce82e7a0f3fb60ec51688304078e80dd827f6e","observation_id":"32dd5583-0025-45e6-9d8a-c647ea1315db","resolution":{"observed_at":"2026-08-10T00:24:50.467067Z","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":"2026-08-10T00:24:50.469495Z","title":"Caglioti, P.-L","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.469495Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:da0713c89c8247049ca09532753559891f31d5b7474a5ec2369441ee03c7b7b9","observation_id":"a4a06f56-0cd3-4368-acbb-6a7a5ba6abe2","resolution":{"observed_at":"2026-08-10T00:24:50.469495Z","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":"2026-08-10T00:24:50.472488Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.472488Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:cf0d52289586953f62f9df3658b12c80b54765780890774d4f495dd0f112a32c","observation_id":"26a0ac03-12cf-481a-922c-7f5ed6ccaa8a","resolution":{"observed_at":"2026-08-10T00:24:50.472488Z","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":"2026-08-10T00:24:50.475217Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.475217Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ba1be9b823d565e1d85113c869788a7c0cbd4fd8c187be52be49c9134cb597e6","observation_id":"2fc13ad9-042b-4145-96fb-89b242399445","resolution":{"observed_at":"2026-08-10T00:24:50.475217Z","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":"2026-08-10T00:24:50.478257Z","title":"Chanillo and M","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.478257Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1b8f16be854964d25baa4dab9e2527392369092be862d0a5ced93b5978dad74c","observation_id":"a87b6cff-d1ae-4e64-895e-1364db417912","resolution":{"observed_at":"2026-08-10T00:24:50.478257Z","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":"2026-08-10T00:24:50.481066Z","title":"Chanillo, M","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.481066Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:4cb6f171b4abf597deb4eb4ee2478c40ecf97c2a2dd05fb49bc316e4a4199e3b","observation_id":"f190ac51-78c7-4c91-8862-d21a7c70d435","resolution":{"observed_at":"2026-08-10T00:24:50.481066Z","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":"2026-08-10T00:24:50.483936Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.483936Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:d9fb3ae4b7e2294b5822002f8b3282bbefa801a3c9e994ea2d23e2fa35b8bf21","observation_id":"aa75e293-221c-4942-93df-cd4a3eba6648","resolution":{"observed_at":"2026-08-10T00:24:50.483936Z","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":"2026-08-10T00:24:50.486733Z","title":"Chen and C","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.486733Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:cb26f57a20303a8b96fd3c2df1180c747a28f5a7fcafc0ae9aa8c64cb68c349b","observation_id":"865456ab-ebf4-410d-ac18-e0115259f073","resolution":{"observed_at":"2026-08-10T00:24:50.486733Z","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":"2026-08-10T00:24:50.489550Z","title":"Chen and C","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.489550Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ccf4571d0e84d73af36242512d7d42b2d8343b3c29f5dba6fe7c0e9ddc479120","observation_id":"831908f9-7430-43c4-8e0e-4cf51ad497e7","resolution":{"observed_at":"2026-08-10T00:24:50.489550Z","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":"2026-08-10T00:24:50.492426Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.492426Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:f41279816c7cd6ce39fffe1a667ea501599db72da26c12c5b3c4961c2eee8bdc","observation_id":"a9884b91-0376-49fd-816e-57203cdef564","resolution":{"observed_at":"2026-08-10T00:24:50.492426Z","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":"2026-08-10T00:24:50.495207Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.495207Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:66bdd7556804e108fb45cc8b257f395f4ce5abff76b9d78f3ebda6bd0668b67c","observation_id":"3c05e632-34b0-478f-82fa-7803208a7d66","resolution":{"observed_at":"2026-08-10T00:24:50.495207Z","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":"2026-08-10T00:24:50.497944Z","title":"Chen, C.S","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.497944Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:a527643a737c3924b0f175007d546ea74810de43e4d851ceb7e30d0fe49f525c","observation_id":"e6a8dd29-b9db-4801-bc52-169d527ecc12","resolution":{"observed_at":"2026-08-10T00:24:50.497944Z","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":"2026-08-10T00:24:50.501073Z","title":"Chen, C.S","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.501073Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:6dc0f6e26a9418a67c00bfc679981c33a5a05182cd4d5b3d08370919717a0ebc","observation_id":"306ff85a-f81f-4978-87e0-b70955cce949","resolution":{"observed_at":"2026-08-10T00:24:50.501073Z","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":"2026-08-10T00:24:50.503849Z","title":"Chen, C.S","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.503849Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1c45f85b1717f18ed90164f71171e54897822ae43da44989f6adce43a30c4caf","observation_id":"34cf088b-7a47-4406-86c5-94b1c5d01675","resolution":{"observed_at":"2026-08-10T00:24:50.503849Z","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":"2026-08-10T00:24:50.506972Z","title":"Chen, C.S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.506972Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:f34de06ded51f7633963aed24fab5d8e7cacb46fa63423da6cae876cc4c4df52","observation_id":"76c7f852-edb2-4bab-83bf-5877288e4cbf","resolution":{"observed_at":"2026-08-10T00:24:50.506972Z","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":"2026-08-10T00:24:50.509779Z","title":"Chen, C.S","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.509779Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:676a72edb708b134cbb88c25c1b1fc65237233e4b9c5ee9a52e32159a9a622bf","observation_id":"35142b4c-22e8-473d-b5a8-6048dcdbb702","resolution":{"observed_at":"2026-08-10T00:24:50.509779Z","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":"2026-08-10T00:24:50.512691Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.512691Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:3e6276de97858a3a00fa9b85a9e6ec3c575c408e3d6c3af270641f82d58dffb0","observation_id":"ecdf2269-7736-4f16-9cf4-9bc2930ed0fc","resolution":{"observed_at":"2026-08-10T00:24:50.512691Z","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":"2026-08-10T00:24:50.515483Z","title":"Cheng and C.-S","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.515483Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1a4a490b2db2bb06e20c7216f05a1022502d60ffff74fae1205f7c6396c9fd3d","observation_id":"dcdfcdbb-c7bf-476d-aa25-2d34c8b99f98","resolution":{"observed_at":"2026-08-10T00:24:50.515483Z","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":"2026-08-10T00:24:51.480140Z","title":"Cheng and C.-S","venue":null,"work_id":"565b2aae-d9e7-4424-b711-fe6199291917","year":1998},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.518380Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:6096b1374e0ed1cdb64c7a717e50ccd2acddf846f5cba9c0253b6c3577405def","observation_id":"24bc1e19-63b6-4c79-9929-8c9ca0639fbc","resolution":{"observed_at":"2026-08-10T00:24:51.483422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.469571Z","title":"Cheng and C.-S","venue":null,"work_id":"5d7266ae-c4cc-4493-a2d9-add2f5b409fd","year":1998},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.521282Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:53cae4b9ec8a14a9d6f20a93186c7f8271bcaa4131dd6c1d8f529f07eceac90a","observation_id":"d78a5b9e-5cc4-48dc-8fa7-312d467e4d1e","resolution":{"observed_at":"2026-08-10T00:24:51.473972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.460633Z","title":"Cheng and C.-S","venue":null,"work_id":"178a4e46-c773-4623-a90e-765350296b83","year":1999},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.524269Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ce12afc4b1217d03b4d1ab289c874e2f44f17daf8d4f1dcc123da48819832d40","observation_id":"4c7103c8-a942-4e10-a6e5-9c3315173573","resolution":{"observed_at":"2026-08-10T00:24:51.463788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.452251Z","title":"Cheng and C.-S","venue":null,"work_id":"0ea87f01-7da0-483e-b22a-c8422376f5eb","year":2000},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.527382Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:6aadec159e46faf2abd489db8fccbc3ec81fbc2995b1ce1c4eb637d66490258c","observation_id":"e12a1a62-dd02-431d-a789-54d3ecf8f6c3","resolution":{"observed_at":"2026-08-10T00:24:51.455273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.442508Z","title":"Cheng and W.-M","venue":null,"work_id":"642899b1-8829-44ce-a742-e8a596aef198","year":1991},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.530405Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:179711ec1be17b7f001b1098d52aaefd50074f6d5e9662c1cb7e207c6f71e878","observation_id":"5b9128b1-32bd-4003-ba31-bc0d6226e1e3","resolution":{"observed_at":"2026-08-10T00:24:51.445836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.424760Z","title":"Cheng and W.-M","venue":null,"work_id":"4e88bdf7-fde3-43ac-94cd-2d76caf42890","year":1991},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.533555Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:b070f45f3540ee80ebb002fa215c78360a0f33e90c293b3c8359afd9d7726902","observation_id":"292cefdd-fcd0-4cae-9063-fdeea29d7c26","resolution":{"observed_at":"2026-08-10T00:24:51.431722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.411877Z","title":"Correggi, D","venue":null,"work_id":"bc7aa809-1edf-47e2-99cd-5a7ccc4ecfca","year":2017},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.537458Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:06a16a3cdc5575994327ceb3bd1c1650f62dfdb55261238161f0db6ce39d5615","observation_id":"8dc27c17-9f75-451b-bfb4-1137b06240ae","resolution":{"observed_at":"2026-08-10T00:24:51.417178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.402292Z","title":"Correggi, D","venue":null,"work_id":"89213815-336c-4a51-b8e2-e7ca9e45e212","year":2018},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.541730Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:2ae38affc1c0eb967d90324913c5cf098c3d503441b1f7fd152125b846963e81","observation_id":"4971704f-c36e-4708-a012-8bc129b74373","resolution":{"observed_at":"2026-08-10T00:24:51.405507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.392861Z","title":"Crandall, H","venue":null,"work_id":"f7e1bf0f-d1a1-4e7b-a4bf-0cd204f71dbc","year":1992},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.544846Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:3f5f2e60a5b3fdb322fa7db47143e384bbd55aee7b3220246e6fb424fe4a0347","observation_id":"056dd675-93e1-4d7a-8e96-31d7171c4ee3","resolution":{"observed_at":"2026-08-10T00:24:51.396011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.383021Z","title":"Dunne, Self-dual C hern- S imons theories , vol","venue":null,"work_id":"bea37bb3-de39-44aa-8d51-33acae02afc5","year":1995},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.547786Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:6c6ac56199623492e9130006c15f55215ce538b3ca7677a645d74926d08a0720","observation_id":"3766d140-fbe8-407c-abb2-5fa78bc3021e","resolution":{"observed_at":"2026-08-10T00:24:51.386350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.373692Z","title":null,"venue":null,"work_id":"27fc7c44-8a62-428a-8798-9895987708c7","year":1999},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.551679Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:515d0eec395cccbb3ddc10c1028b54da3aa6937422e630f54395b8a97ec57a77","observation_id":"068316d8-61fd-4fc8-993a-56da47210d61","resolution":{"observed_at":"2026-08-10T00:24:51.377237Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.364276Z","title":"Eremenko, Metrics of positive curvature with conic singularities on the sphere","venue":null,"work_id":"c7263cb3-39cd-4074-b337-f482a5764f14","year":2004},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.554622Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ed93b11315e0720126ba2d1acbaeabbfac1a6ee8c4ae923bccea7829a74de885","observation_id":"2c325079-0569-461d-b009-bb5008a900a5","resolution":{"observed_at":"2026-08-10T00:24:51.367762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.354966Z","title":"Eremenko, Metrics of constant positive curvature with four conic singularities on the sphere","venue":null,"work_id":"95c095e5-655c-4e87-b944-39086965ded6","year":2020},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.557582Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:271426533683900ad6076c9d95c90ad0fc092d7011a24e05c0d9447dd985e53a","observation_id":"b6d4a694-10be-4e7d-bec1-67729ffc4515","resolution":{"observed_at":"2026-08-10T00:24:51.358156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.13364","last_updated":"2021-03-24T17:41:51Z","snapshot_observed_at":"2026-08-13T19:52:39.854858Z","submitted_at":"2021-03-24T17:41:51Z","title":"Metrics of constant positive curvature with conic singularities. A survey","version":1},"cited_work":{"arxiv_id":"2103.13364","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.13364","snapshot_observed_at":"2026-08-10T00:24:50.780871Z","title":"Metrics of constant positive curvature with conic singularities. A survey","venue":"math.DG","work_id":"cb45acab-1360-4ac0-bafb-f70ebcc9a1e5","year":2021},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.560417Z"},"links":{"cited_paper":"/paper/2103.13364","citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:2adb3ebceec52ab825e9d877a98adcc5e8d3534d0cf9504c5f6d6ef996c9fa65","observation_id":"b74f5626-8800-49d5-9854-519538d3be8c","resolution":{"observed_at":"2026-08-10T00:24:50.786622Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.346469Z","title":null,"venue":null,"work_id":"cdda70a3-7c66-4be0-b9b1-a2c48e6c9101","year":2010},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.563776Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:adbcdc4bc75fa44e5eb63420f3377ee8909779648b731966ad0cc6768aa141e0","observation_id":"8f5ba52d-a6de-4073-976f-f0ac62330798","resolution":{"observed_at":"2026-08-10T00:24:51.349656Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.337511Z","title":"Eyink, H","venue":null,"work_id":"3ad56ecb-68a2-4128-ade8-e16c098806c9","year":1993},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.566620Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:58b599cac7f0d03cc5da2b562e4d142223445eee58646c415822f68baa454a4b","observation_id":"48b75126-ae96-48be-81fc-fdba140a53fb","resolution":{"observed_at":"2026-08-10T00:24:51.340812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.329140Z","title":"Eyink, K.R","venue":null,"work_id":"ae03e8b8-7696-4e7e-9095-f2a2ea257a61","year":2006},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.569093Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1197d8c977dc0884747e3c2e1afacb5120367d81618b384c82d10f8edf69c3f4","observation_id":"7f68d01f-81f7-4cf2-a77e-fcef1c498213","resolution":{"observed_at":"2026-08-10T00:24:51.332195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.320999Z","title":null,"venue":null,"work_id":"97f6fdd8-fd18-4adc-a1f1-34cb533eb653","year":1991},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.571415Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:847807805a3d03eea223236506be1cb55b248264c5a3f3bd7fbbe471cd5db999","observation_id":"03a11123-5811-4d4c-a9c1-7ac40655bb45","resolution":{"observed_at":"2026-08-10T00:24:51.323909Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.313479Z","title":"Ezawa, M","venue":null,"work_id":"18988382-17c2-46b9-9f68-1da8c22369c1","year":1991},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.574108Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:a9d2f4fd2f372c144a198eba2aec277bb974664ee390fcff5456089076e7c896","observation_id":"0445767b-b8d1-4dfc-b844-5c13c9c41c60","resolution":{"observed_at":"2026-08-10T00:24:51.315798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.306520Z","title":"Gilbarg and N","venue":null,"work_id":"f73539ee-2c41-4b1e-b89a-108290c6696d","year":2001},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.576677Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:89e5733eb15c92f2108a61db996948f5a49c278da5c15c5196b55a334cc4130f","observation_id":"be3533e5-a618-4c2c-bb4a-0b0e349883fe","resolution":{"observed_at":"2026-08-10T00:24:51.309044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.299219Z","title":"Gluck, Asymptotic behavior of blow-up solutions to a class of prescribing Gauss curvature equations","venue":null,"work_id":"cafa48e4-403a-43b8-8ba2-342ca119b9d7","year":2012},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.579134Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:4e4830f372caba2d0d69deb6e2cd3e6a149976de466a29ecc233a2726e31ef90","observation_id":"41f85111-64e9-435f-b3aa-5f67b53b9e9a","resolution":{"observed_at":"2026-08-10T00:24:51.301806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.291560Z","title":"Goldin, R","venue":null,"work_id":"290ce3a6-9228-4bd0-b9b2-e8e485b8a247","year":1980},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.581549Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:e7846256b481dd317628fbbf9946082f48a0f4fde0cec7267b44fc12b48ee296","observation_id":"b1a8c7f1-8334-496e-a39c-43caed8ed11b","resolution":{"observed_at":"2026-08-10T00:24:51.294443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.283234Z","title":null,"venue":null,"work_id":"4c3c96a2-2600-4379-b13d-61d863835ea6","year":1981},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.583979Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ceea3e4755ce5c7788a6c7faa820454d2b383385f1a11fd31a0d92f50231003f","observation_id":"7b585f1e-e192-413a-8f6c-7d9c745b95a7","resolution":{"observed_at":"2026-08-10T00:24:51.286335Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.274825Z","title":null,"venue":null,"work_id":"0aa6f975-4bf4-4e84-93ec-a01e1d71297d","year":1985},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.586965Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:272e34b14d01c5d3e6110fca60a97d2e0e0ca0263b23226e82ee1782d1198092","observation_id":"7b07e6b8-ce99-4a39-9f9f-928c7334fbd9","resolution":{"observed_at":"2026-08-10T00:24:51.278058Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.266778Z","title":"Hlousek and D","venue":null,"work_id":"49cde47d-af9c-4eb1-8588-2d5891586e52","year":1993},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.589866Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:27a336121e75afd18bb4f276ddbffddc67957685e52b7e316d621b75bc22d61e","observation_id":"4c2816eb-cc80-4dc7-8a4b-8e8703e771ad","resolution":{"observed_at":"2026-08-10T00:24:51.269775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.258765Z","title":null,"venue":null,"work_id":"59664dc6-4bb2-4a80-be32-a0a7db00eb9d","year":1986},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.592770Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:0a28d6e410ce0984251742c891007e591b68741c03c99ba0e7e5acd0a1cd5586","observation_id":"bf957cfb-100a-4320-944a-dca67d0f139a","resolution":{"observed_at":"2026-08-10T00:24:51.261669Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.250296Z","title":null,"venue":null,"work_id":"8602904a-279c-4e89-b234-8dee7a80136d","year":1998},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.595980Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:716fcd74f9d38b37e4117fe76eb3a9eecec27ee0c440e1667aeb1e8815f283f9","observation_id":"51461837-c1c8-4f5e-83ab-193b48180598","resolution":{"observed_at":"2026-08-10T00:24:51.253312Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.242178Z","title":null,"venue":null,"work_id":"fdabdf11-207c-4f85-8929-aaa88d278038","year":2009},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.599050Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:d327c4fda5b2936feea4bde060210a45618892a510e7b36e3548d12b9b47bb82","observation_id":"71a56183-6e2f-46ef-b85a-e834d64d4192","resolution":{"observed_at":"2026-08-10T00:24:51.245147Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.234025Z","title":"Iengo and K","venue":null,"work_id":"0cf01473-13ff-4b0c-8c2c-f14dc534ebcb","year":1992},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.602089Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:0a766551a230affa21eb7c6311a61b8ce7b1802a92c937ab3f46081687cf5f3c","observation_id":"de7cd269-f7fe-4c9a-a9f5-a36f2b14bd1a","resolution":{"observed_at":"2026-08-10T00:24:51.237103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.224640Z","title":null,"venue":null,"work_id":"2d0f57a2-e06b-4a67-a577-61310242f7e8","year":1992},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.605251Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:b1552324898b3ed0d88d0d69bbbf1ddbdbcbfc0a22d163b3506d10ea6343a48a","observation_id":"2e902676-a5cb-4094-94ea-7d30bfb4d19e","resolution":{"observed_at":"2026-08-10T00:24:51.227657Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.216515Z","title":"Jackiw and E","venue":null,"work_id":"c19a4671-8f2d-4660-a589-7ef774257fb3","year":1990},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.608250Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:6f2fc0bee1f26d59f46f4d076e31d18ed416feb6401887d74884845bcfaed177","observation_id":"7f1b2864-2230-431a-befe-cd9756233d9d","resolution":{"observed_at":"2026-08-10T00:24:51.219521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.207950Z","title":null,"venue":null,"work_id":"b1e2225a-e78f-4d8c-9d4f-a4c472dae404","year":1974},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.611293Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1b7abc0c11d39c67b912c34e01f3c936aa3e37548023617886ec4c8832b1fe61","observation_id":"28a26382-0baf-40bf-9f73-520796135e39","resolution":{"observed_at":"2026-08-10T00:24:51.211245Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.199273Z","title":"Kiessling, Statistical mechanics of classical particles with logarithmic interactions","venue":null,"work_id":"6234f5a0-fc71-4aba-9ad6-31d437201821","year":1993},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.614444Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:5ff885d8d3daa9050339299ac3a439fcc9be09530e1b08de973685b472888af7","observation_id":"d58251ec-8a3b-47e4-bad6-26f960fec9f6","resolution":{"observed_at":"2026-08-10T00:24:51.202644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.190850Z","title":"Kiessling and J.L","venue":null,"work_id":"a9e4b468-e291-4706-ac63-4a7fdf88dd3f","year":1997},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.617501Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:7fe8a4e77f7b0bbd538d1c07c573a0902cb7a4021f99ecefa4810dc40b8d311a","observation_id":"e09e7c45-7af4-4bd8-a922-01f97de654d3","resolution":{"observed_at":"2026-08-10T00:24:51.193913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.183267Z","title":null,"venue":null,"work_id":"3d07fd0b-c361-4260-ab00-a2cf886b9e17","year":1977},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.620755Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:2e2bdffbe19f4d20d3d776c9c97f1f7b20f4474771c2b96a8b138390f60565ad","observation_id":"628b3056-f9b4-46ee-8906-70dc49cbb45b","resolution":{"observed_at":"2026-08-10T00:24:51.185812Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.175391Z","title":"Li, Harnack type inequality: the method of moving planes, Comm","venue":null,"work_id":"727c518a-f997-4a6f-8353-98f62df2dcae","year":1999},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.623863Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1e06221f0687be8c1c13570cc47ee639efb67950bb1eb198fa5218b56dceea06","observation_id":"ef0be4b3-6884-4203-a1d3-5fc9428d347b","resolution":{"observed_at":"2026-08-10T00:24:51.178496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.166784Z","title":"Li, A Liouville-type theorem in conformally invariant equations","venue":null,"work_id":"54e6996d-1720-4364-807b-15e2ac8f7ffe","year":2024},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.626990Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:32dc9df3f937e0cab286d4f4221c20dacf311f477b17c668135ccfff2c93777d","observation_id":"222eca14-1632-4095-9b27-5b192afbf198","resolution":{"observed_at":"2026-08-10T00:24:51.170115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.157875Z","title":"Li and I","venue":null,"work_id":"41aa7884-00d1-46d1-8d28-c3f88b69e283","year":1994},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.630058Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:0114ae104b154189f9166049e501e02be1e8f6876706d09d67db71c767394974","observation_id":"15af358f-4eba-48a1-b1ba-3ed6048b298b","resolution":{"observed_at":"2026-08-10T00:24:51.161257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.149240Z","title":"Lin, Uniqueness of solutions to the mean field equations for the spherical Onsager vortex","venue":null,"work_id":"48c58aea-b8c2-41ff-a30d-2b671ed36e35","year":2000},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.633175Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:0c42f38008c0ac35bfcef5068fc066714df7a8b8c24b21465765e81e08c327b2","observation_id":"06507275-589b-4e76-81d0-c076a2c8cf97","resolution":{"observed_at":"2026-08-10T00:24:51.152509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.140298Z","title":"Liouville, Sur lequation aux differences partielles ^2 z z 2 a^2 =0 , Journal de math \\'e matiques pures et appliqu \\'e es 18 (1853), 71--72","venue":null,"work_id":"dce3f595-6367-472b-9c87-010e501686ab","year":null},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.636482Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ca65177a12926405696cb8fe85377839823c893106ebc3e73508475c383a51e0","observation_id":"0a0b2d4b-dc98-42a9-90a3-99dfd51c9411","resolution":{"observed_at":"2026-08-10T00:24:51.144043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.131957Z","title":"Lundholm, Properties of 2d anyon gas, Encyclopedia of Condensed Matter Physics (Second Edition) (T","venue":null,"work_id":"b506b380-c923-4294-858a-16fba3c933db","year":2024},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.639587Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1fa36386a23d7c8d5a60827504636f4510acc5035ca87fdb3dbe92e95d45dd17","observation_id":"fae44011-2bb5-47a0-8f8b-e4901b511814","resolution":{"observed_at":"2026-08-10T00:24:51.135148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.123443Z","title":"McOwen, On the equation u + Ke^ 2u = f and prescribed negative curvature in ^2 , J","venue":null,"work_id":"ff3d44b6-9a3a-4a47-b977-ed07b4ee4c4d","year":1984},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.642827Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:b40d9a3a06cf1a3b59c3fcf4f31f881fe113e8837433af6fcb56943159b2e560","observation_id":"bc9e31a4-c75b-46e6-ada1-b71239ade4be","resolution":{"observed_at":"2026-08-10T00:24:51.126767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.114394Z","title":"McOwen, Conformal metrics in ^2 with prescribed Gaussian curvature and positive total curvature","venue":null,"work_id":"6085731b-3555-4585-adfa-80719ba112df","year":1985},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.645981Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:2309a5961fe3c678d23160a9684a7d60d106fdcd3cfa5ab2aa84edfd2532d847","observation_id":"c515ff86-b11b-427e-93cb-978a7d02895a","resolution":{"observed_at":"2026-08-10T00:24:51.117813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.105830Z","title":"Moser, A sharp form of an inequality by N","venue":null,"work_id":"45d8662e-3f36-4ce2-afc1-d48d6d2f884d","year":1971},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.648993Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:8324ab8519719b121c0234c2e97ea44917bb092f66aec00331dc1a69c9048ec5","observation_id":"297d4615-1c50-4c60-a7f3-d9ee1c769c8e","resolution":{"observed_at":"2026-08-10T00:24:51.109087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.097464Z","title":"Nakamura, S","venue":null,"work_id":"dcfcbc1a-fd96-400e-94a9-604a175c92fe","year":2020},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.651943Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:53ac9a2aa3f0089313ecaeaac52b62df601f3b1bc2c20d8c0cc244f348d8e9af","observation_id":"0b9d2a27-bd4b-4415-a65e-ac6342500382","resolution":{"observed_at":"2026-08-10T00:24:51.100537Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.089089Z","title":"Ni, On the elliptic equation u + K(x) u^ n+2 n-2 = 0, its generalizations and applications to geometry, Indiana Univ","venue":null,"work_id":"29798444-defd-4219-988c-f8681564f8b2","year":1982},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.654733Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:26817c7c45d9d782dc94564f6fbbe05c67726c9bffc3bfc884441b15ce66b7b3","observation_id":"43901961-3071-4de8-8e76-56b81360dc12","resolution":{"observed_at":"2026-08-10T00:24:51.091738Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.081704Z","title":"Ni, On the elliptic equation u + K(x)e^ 2u = 0 and conformal metrics with prescribed Gaussian curvatures","venue":null,"work_id":"d4d977a1-c68b-45f7-894c-6e0a7b137224","year":1982},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.657774Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:b7f4fa965d2285fa340fa84857f55b99cdf6b3e1c97b7041a72597e77e8ba052","observation_id":"ca0cf887-6102-47ea-9de3-7e317a8e3f75","resolution":{"observed_at":"2026-08-10T00:24:51.084290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.074061Z","title":"Onsager, Statistical hydrodynamics, Nuovo Cimento 6(2) (1949), 279--287","venue":null,"work_id":"f5b00e91-b0d9-45d8-9734-f3ba82f4957b","year":1949},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.660745Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ac3c3df18fa9fa5ae3f63d4243bb80783da7c407cf1e2391f590fae88063939c","observation_id":"d36068a5-827e-474a-a66a-70767fd5841f","resolution":{"observed_at":"2026-08-10T00:24:51.077006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.066746Z","title":"Picard, De lequation u = e^u , J","venue":null,"work_id":"dc7089cc-52bb-40e0-9ea7-36550cf03159","year":null},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.663738Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:384415a219b420d57bd6ad65a1aa624599f45b7162f19a60966a2162397d8c66","observation_id":"582e1469-48bf-4a95-bd87-631ef309ef2f","resolution":{"observed_at":"2026-08-10T00:24:51.069449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.058303Z","title":"Picard, De lintegration de alequation u = e^u sur une surface de Riemann fermee, J","venue":null,"work_id":"f978a147-d30a-427f-8e0d-c39a1645c988","year":1905},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.666758Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:ddf6eb87b48105b3f7459ceaa454ff4b060c0e0294d0ebed7aeb1cca82d3b48e","observation_id":"21f29790-2593-46ee-9ecf-b93c1411faa1","resolution":{"observed_at":"2026-08-10T00:24:51.061578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.049925Z","title":"Polvani and D","venue":null,"work_id":"b9ac336f-32e6-47ef-9c9e-c1a11f336edd","year":1993},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.669566Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:9c93c669832eee74ec1caf59a2092d7717150b1ba3d92c45ec1afe9d24878f77","observation_id":"2c964947-9c2d-437f-8a42-03caad980622","resolution":{"observed_at":"2026-08-10T00:24:51.052885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.041828Z","title":"Prajapat and G","venue":null,"work_id":"57a26408-b720-4664-bbff-f829244a3fe0","year":2001},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.672022Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:bd42588568a054af87c017bcd73c71248897e0551c9b08834a5a34d4fd1ee2f1","observation_id":"7b5e52eb-d33d-43a0-b29a-7266ec9d3d19","resolution":{"observed_at":"2026-08-10T00:24:51.044765Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.033666Z","title":"Rajaratnam and I","venue":null,"work_id":"413c61f1-d53b-40b4-9b62-affc8d3e2382","year":2020},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.674653Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:e385d4ce9ed807c2dcb9a57135716ab9a7a7e7756b61d4d39b78cca34d87e76f","observation_id":"e0616610-3032-4d5d-a8e1-30e96ddf8dbf","resolution":{"observed_at":"2026-08-10T00:24:51.036704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.024987Z","title":"Sattinger, Conformal metrics in ^2 with prescribed curvature, Indiana Univ","venue":null,"work_id":"0529dcd7-ac15-425e-9379-930f8732d9dc","year":1972},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.677071Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:d071a7e5ed3d1dbca9ed3eafcd86cb6bf73f99cb143b721047dfb77f6d50136c","observation_id":"bf7482a6-86df-4b2e-b43a-c80e230a0593","resolution":{"observed_at":"2026-08-10T00:24:51.028172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.016552Z","title":"Schulz and V","venue":null,"work_id":"6fd464c0-4bd7-47b5-af38-61521b523878","year":1993},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.679444Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:feea9f385c9100a736fbd30148a4dd4afb9bf3afe74018b4080b51ad5310ba0c","observation_id":"946727c3-7a86-4159-bdf2-d1436d76191e","resolution":{"observed_at":"2026-08-10T00:24:51.019612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:51.007715Z","title":null,"venue":null,"work_id":"15424c2b-199c-4ccc-abc3-0759c6fc531a","year":1990},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.681806Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:5ff2be8d572f953a389d6f06ad59fe1531ad8994679bd1eca4c6294cd24da962","observation_id":"de732fc1-2f2c-407f-a45b-52b00655173c","resolution":{"observed_at":"2026-08-10T00:24:51.011010Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.998819Z","title":"Spruck and Y","venue":null,"work_id":"2b3858a3-8663-482c-9e75-9e6f90eafdba","year":1992},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.684242Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:59a859d0d75f3b4674e755fa8d1fec541897c775231e604a26e6da43f0865c88","observation_id":"17526464-0e1b-49e5-abba-3447d9ea5196","resolution":{"observed_at":"2026-08-10T00:24:51.002079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.989997Z","title":"Stampacchia, Le probl\\`eme de D irichlet pour les \\'equations elliptiques du second ordre \\`a coefficients discontinus , Ann","venue":null,"work_id":"ddcd202c-af72-411c-a5c1-253f87ffb5db","year":1965},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.686787Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:541edcec9b77a43cb08d4f811ca4defcd32fbf99fb5de687153341a37a439cb8","observation_id":"d3bd576c-73d9-41e1-9576-060e4abccf05","resolution":{"observed_at":"2026-08-10T00:24:50.993329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.981168Z","title":"Struwe, A flow approach to Nirenberg's problem","venue":null,"work_id":"e2a4582c-31c6-442c-9c35-ccd49645c0ba","year":2005},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.689525Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:f7bea9875f8291767dd07016c88b5d5d749df8afca2172f368e2a43a33d8737e","observation_id":"5ee1a97f-3883-43ff-a0e2-0a1dcaae4d18","resolution":{"observed_at":"2026-08-10T00:24:50.984409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.972936Z","title":"Tarantello, Selfdual gauge field vortices: an analytical approach , vol","venue":null,"work_id":"11955c18-529c-444a-a92d-0625ee285363","year":2008},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.692500Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:d6d8603c1a7a6f3b03bb91871e116bfe287c64264e802ddbf342db2de464a21e","observation_id":"714e9a1d-72ce-4cbb-9b1c-d9de3405e4cb","resolution":{"observed_at":"2026-08-10T00:24:50.975623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.965119Z","title":"Troyanov, Metrics of constant curvature on a sphere with two conical singularities, Lecture Notes in Math","venue":null,"work_id":"b1c36213-3a0e-4709-b283-3b5a8beea382","year":1989},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.695473Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:1a12a77f6fb99bef791e78231078dde5a4d48dac3bba41e6d4267e66549cb65f","observation_id":"e432dd38-60c6-49a3-b7c4-c098fc608f97","resolution":{"observed_at":"2026-08-10T00:24:50.967908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.956904Z","title":"Troyanov, Prescribing curvature on compact surfaces with conical singularities, Trans","venue":null,"work_id":"c7b9380a-b9e1-4708-8cad-5d59b230e6ea","year":1991},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":95,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.698402Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:9fd19ce978ad5698d3d6e3ef0d86ac2f216098e4f637391c38bd42c618aea64d","observation_id":"363c9517-73d5-42c6-8d52-f9f8ddac7ca4","resolution":{"observed_at":"2026-08-10T00:24:50.959767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.949142Z","title":null,"venue":null,"work_id":"32268b93-86eb-47d6-ac10-2fed0d708649","year":1967},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":96,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.701326Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:e2450f9fd78d7736cf6f2d67fceca52cdb1eab5a8fd46eb14585e06fd87bd2df","observation_id":"b31cc251-5078-4052-ae6c-f29de811b549","resolution":{"observed_at":"2026-08-10T00:24:50.952066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.938867Z","title":"Tur and V","venue":null,"work_id":"ec861289-6014-4156-885b-c2943d2ad7fb","year":2004},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":97,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.704503Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:aea7c5109e4cc941340ac9447988ac199156b2dd60a8824f99b44f2f6cf66f50","observation_id":"95eab0fe-f8d3-481a-8f1a-de84ba978266","resolution":{"observed_at":"2026-08-10T00:24:50.942691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.930305Z","title":"Wei and L","venue":null,"work_id":"0bc893d1-8e17-4add-8063-b4ba2f164033","year":2018},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":98,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.707398Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:789c11720b82b31f01955e239fbb2393dce60b8ad4e0acfed476087c727372b2","observation_id":"6027fe62-55ce-498d-bf71-49e8b960c908","resolution":{"observed_at":"2026-08-10T00:24:50.933414Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.921618Z","title":null,"venue":null,"work_id":"60c4eb50-e06e-4c34-be34-b2a0100f5ce1","year":2021},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":99,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.710435Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:e4bf2499e8edac60b1458ae87769f062c52145fb9e673ae4a96b6a43349d0aac","observation_id":"208ef069-584d-42da-a3a6-776c025c819d","resolution":{"observed_at":"2026-08-10T00:24:50.924795Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T00:24:50.913034Z","title":null,"venue":null,"work_id":"d41c3135-bbf2-4e4a-a06b-9a8ace47b4a0","year":2022},"citing_paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation","version":1},"reference_index":100,"source":"arxiv_source","source_observed_at":"2026-08-10T00:24:50.713675Z"},"links":{"citing_paper":"/paper/2501.18234"},"observation_digest":"sha256:91e4db7f9eef33bc4df7601f266e6db082e270f97213c0f3efcd2939ecdd4b30","observation_id":"3eeaf25a-efe3-43ae-82c5-f101f09c13d8","resolution":{"observed_at":"2026-08-10T00:24:50.916042Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.18234","last_updated":"2025-01-30T09:46:31Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T05:59:33.664760Z","submitted_at":"2025-01-30T09:46:31Z","title":"Existence and uniqueness of solutions to Liouville equation"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":48,"verified_exact":1,"verified_fuzzy":51},"total_outbound_references":111},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 100 of 111 outbound references and 2 inbound Pith citation observations for arXiv:2501.18234."}