{"as_of":"2026-08-16T16:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:50d524ea3bb5c8b07dfe45414aee52e5aa8d196d903edbf9bd327b559e5bf043","coverage":[{"denominator":47,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":47,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:26:49.396214Z","state":"measured"},{"denominator":48,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":48,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T00:39:37.599523Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-16T00:39:37.992027Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"cited_work":{"arxiv_id":"2505.19021","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.19021","snapshot_observed_at":"2026-08-16T00:39:37.992027Z","title":"Local asymptotics for singular solutions to critical Hartree equations","venue":"math.AP","work_id":"47e79a6f-2af0-4475-8e1c-f9ba5d3ca709","year":2025},"citing_paper":{"arxiv_id":"2608.12734","last_updated":"2026-08-13T02:29:44Z","snapshot_observed_at":"2026-08-16T16:11:09.850656Z","submitted_at":"2026-08-13T02:29:44Z","title":"Delaunay solutions to the fractional Hartree equation with critical growth","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T00:39:37.599523Z"},"links":{"cited_paper":"/paper/2505.19021","citing_paper":"/paper/2608.12734"},"observation_digest":"sha256:b9f3bd5d4127015f0f61dc01bbdd31125f53bda289e90a0e6f486964dbff7a81","observation_id":"5a6c960e-f29f-4011-bcd9-e3860ec2a793","resolution":{"observed_at":"2026-08-16T00:39:37.999111Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.19021/citation-record","integrity":"/paper/2505.19021/integrity","json":"/paper/2505.19021/citation-record.json","paper":"/paper/2505.19021"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:57.441903Z","title":null,"venue":null,"work_id":"142c3335-2a85-47db-ae6a-6f0bbb57004d","year":2024},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.000528Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:627bf625ec87b47a6aebaebccc1c1a3376ea10dc19dbb6ce30e0848e28f96002","observation_id":"73c5bf4d-235a-45d7-8625-20167651e881","resolution":{"observed_at":"2026-08-07T14:26:57.512129Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:57.281672Z","title":null,"venue":null,"work_id":"f62e39f4-4ac2-40ae-851d-c3f34bbf809e","year":2022},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.006009Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:b045945a72a282af807f3689524ec1a1f12e773ab044d427f8be467918396be9","observation_id":"c1f2de1c-2a73-471d-a994-7871bbe1c1c7","resolution":{"observed_at":"2026-08-07T14:26:57.355006Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:57.134421Z","title":"Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev,J","venue":null,"work_id":"9bafe84e-b9d7-4ad0-ab36-6cc550ad5801","year":1976},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.011743Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:4b7421274d37b29b0c9923b1653a3bfb3f55eba1dd37dac74e5f01290aa715f3","observation_id":"fc717f40-726b-48c8-abfd-ab74a244ae4f","resolution":{"observed_at":"2026-08-07T14:26:57.212650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:56.994004Z","title":"Caffarelli, T","venue":null,"work_id":"18a66ebb-b941-46e9-ab43-e4788d0e278f","year":2014},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.029664Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:cea0beeaa176123167ce2c3c317c702cb7f42d7af4f13a125ab6918da3876b33","observation_id":"03492a26-211e-4040-8ee2-2d19ca19a8a1","resolution":{"observed_at":"2026-08-07T14:26:57.074266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:56.854249Z","title":"Caffarelli, B","venue":null,"work_id":"c0b7900c-11bc-4153-8fc1-05d8a555dfae","year":1989},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.050040Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:21e438720874e8894dbef0080e38dc60724e31f2e061e43e0f1a7b7e2dc87b38","observation_id":"ee386496-705b-4c55-8942-8fd06761c509","resolution":{"observed_at":"2026-08-07T14:26:56.927129Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:56.740019Z","title":"Chen and F","venue":null,"work_id":"0a9bcc9c-733c-4bda-a011-31c68ecd86b6","year":2016},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.066451Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:58f33280d64ea47206cea7ca2906a8c4fc172dbdff30dc05b306508733aba1c2","observation_id":"8a824c30-7ee8-43b0-b7c1-bc44d5fd4bd8","resolution":{"observed_at":"2026-08-07T14:26:56.774908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:56.596419Z","title":"Chen and C","venue":null,"work_id":"1f5cf7d4-e494-4ac7-ab9f-37bdc4bbab5c","year":1995},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.083055Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:53d10099ee8bdec2788455692e1f55b1b75b0202451bdf43dd840a9e1c935d2d","observation_id":"5ce6690a-3ffa-4b87-9bdf-4bcfdca38790","resolution":{"observed_at":"2026-08-07T14:26:56.673043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:56.461638Z","title":null,"venue":null,"work_id":"0c04e2fd-87f8-4be1-a09b-7061feaaded0","year":2005},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.088176Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:617dcd0bf0f9b2b33204f9ca4a97e99823c3bed3c1eb6795806a54f2a4c92190","observation_id":"501a38e2-7e10-4c64-8cf5-ade46cecfa8f","resolution":{"observed_at":"2026-08-07T14:26:56.531822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:56.272523Z","title":null,"venue":null,"work_id":"d3f4d7e3-a0bc-4420-ab6b-35dcf7447158","year":2006},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.098602Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:45a0041b76b38a79c783b805488fc57ba9ed0c7ff6eefa18da681ad0068e8bea","observation_id":"970ed915-bc5e-4bd6-a37a-0d73ce1e3829","resolution":{"observed_at":"2026-08-07T14:26:56.380572Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:56.094099Z","title":null,"venue":null,"work_id":"13d1bca9-7604-4396-a122-183f652199d1","year":2021},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.108947Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:0dd71665cbb7aa51770252b67813acc2abfd040afdd235dd486e2bb362e9de20","observation_id":"984a9da3-29ba-445e-820b-a284a26b6685","resolution":{"observed_at":"2026-08-07T14:26:56.190801Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:55.909928Z","title":"DelaTorre, M","venue":null,"work_id":"37d3e077-b4af-43eb-a712-3f458ba8dcde","year":2017},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.118572Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:b5552d2f5c683114224d00c9d4ae9c6c18141997f20376d7b751b3edb9831cf4","observation_id":"a748d95b-8037-4dd6-9308-4fc38dea6f81","resolution":{"observed_at":"2026-08-07T14:26:56.015673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:55.733050Z","title":"Du and M","venue":null,"work_id":"6335aae2-372c-4ada-9baa-14aa66c341eb","year":2019},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.164653Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:5cf1403618ada9c62bb66ceac67b5851fab3981694f122710764916260f9424f","observation_id":"7536a5a6-455b-4da1-bea1-f04baca72a07","resolution":{"observed_at":"2026-08-07T14:26:55.818061Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:55.523917Z","title":"Du and H","venue":null,"work_id":"193af877-a10f-48e9-9b23-142991b3c204","year":2021},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.238875Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:83c6a6380f4b43c80b66d8a7c6c7b4565434eebb0f8d03771dc25ce26aa7eedf","observation_id":"7224230b-395a-40a8-a9c5-15e7f38ac929","resolution":{"observed_at":"2026-08-07T14:26:55.650949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:55.372279Z","title":"Emden,Gaskugeln: Anwendungen der mechanischen W¨ armetheorie auf kosmologische und meteorologische Probleme, Leipzig, Berlin, B.G","venue":null,"work_id":"271e482f-a936-445c-aaf8-9afdeff7461c","year":1907},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.330264Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:37f0f8cf70ab0b413938cc6cdbdfab89b7d3cd3b4a035ae634181dab7b48ced4","observation_id":"782cb0bb-70bf-49a1-9fbb-19b3ee91d6d9","resolution":{"observed_at":"2026-08-07T14:26:55.443840Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:55.174859Z","title":null,"venue":null,"work_id":"54903401-2295-4269-8e3a-fa9f1cc8cf0c","year":1931},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.423255Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:49a201ce64fa16ffa2dd995e7e2d1d7919223ab03ac90b62b28e967f2e32d192","observation_id":"83b8cbb2-2606-4f47-b0e9-100a3d7890e4","resolution":{"observed_at":"2026-08-07T14:26:55.261206Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:55.002632Z","title":null,"venue":null,"work_id":"d46dc1e4-311e-4fd8-a0af-415f3db431ca","year":2019},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.530591Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:0b677bb26c26a014d2c54b80a37423a5d8a90c5ac831cd3f9c17f28d203c1244","observation_id":"95508772-0ebd-40d8-992f-36eba0dc7e2f","resolution":{"observed_at":"2026-08-07T14:26:55.095300Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:54.869067Z","title":"Fr¨ ohlich, Theory of electrical breakdown in ionic crystal,Proc","venue":null,"work_id":"009b312d-54d1-4de6-9c4b-0b4e36769fc2","year":1937},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.641826Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:afe0341dda31d0da3a2c46b98ba70c3b7c0a6df54177137c4747a58b96d94088","observation_id":"82765835-a759-4f2d-ad44-860228881f07","resolution":{"observed_at":"2026-08-07T14:26:54.949034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:54.692166Z","title":"Fr¨ ohlich, Electrons in lattice fields,Adv","venue":null,"work_id":"9bc97aec-c252-424e-8c74-4bcd762cc004","year":2003},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.716861Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:a4c6482150701fd3caabc99e5cf72b94a455e9e313fc72541b747d2dbc0b908a","observation_id":"4ced5f3e-ef65-4c3e-b66f-236728154a43","resolution":{"observed_at":"2026-08-07T14:26:54.762243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:54.507617Z","title":"Gao and M","venue":null,"work_id":"88a110d7-f447-494d-87a8-0e251b5571d7","year":2018},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.794860Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:3ea610d95e3cee019074a3ffbee3d2984a1157b9ab8e3637e0e3300c020c50e9","observation_id":"e44f07f4-5e58-4ee4-919e-80c83dba17f1","resolution":{"observed_at":"2026-08-07T14:26:54.588937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:54.336523Z","title":"Ghergu and S","venue":null,"work_id":"de5df67f-7f6e-41ef-a183-0cf28f860514","year":2015},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.881462Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:a700308c845c8d25a84ae1d6237f01a2732bfcb0724806dad1d385288f8cd7a7","observation_id":"31894061-c262-4e1b-86ff-848ea31015ec","resolution":{"observed_at":"2026-08-07T14:26:54.409700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:54.152536Z","title":"Ghergu and S","venue":null,"work_id":"7679e14b-f5c5-401c-ba53-9c06531225b5","year":2016},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:46.990357Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:07db22741cfbc68ae0f0c66fc4cdd83fcb32fa227564b47c85ff0b1fb2e6126e","observation_id":"fcfeaf9c-7eb4-4131-903b-b8dcf4d39503","resolution":{"observed_at":"2026-08-07T14:26:54.254206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:53.992064Z","title":"Gidas, W","venue":null,"work_id":"4652b9bf-3b4d-420c-a0fc-90e4833aace9","year":1979},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.077417Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:419cc9b530e4b98959630c05c4c17650ecfd6c3bc940d3fad74b720b03916f12","observation_id":"08647dd1-b118-4d6b-9619-47524b513990","resolution":{"observed_at":"2026-08-07T14:26:54.069064Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:53.789344Z","title":null,"venue":null,"work_id":"3c2e276d-162e-4f82-b3f5-df68eb72aa89","year":2019},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.176317Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:4316d175b9fc8c9367995874995fb55bf6c26e92dd3da26ead18d4999c49cbb9","observation_id":"0487d72d-e91d-45ca-9725-33c2b60eb79d","resolution":{"observed_at":"2026-08-07T14:26:53.883161Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:53.587901Z","title":null,"venue":null,"work_id":"db9a8da1-afe2-4778-9f28-5eb525b640a4","year":2020},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.274322Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:645e83a5207df4e5182eead3bde04cb167109cec84151395a8b6e7f31ab1d4fc","observation_id":"5a9822c0-cd5a-44b7-b98e-bdfc08e2821b","resolution":{"observed_at":"2026-08-07T14:26:53.680927Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:53.425917Z","title":null,"venue":null,"work_id":"66c0fc66-bdbf-44a3-8291-45f609325f8b","year":1928},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.377086Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:7609a98683d1ebe4eea5dae3e87b90b06162de5b48973e16e245ab0f5b3aa1c6","observation_id":"83bb2c3b-7a9e-48ae-9996-eb53f8105e48","resolution":{"observed_at":"2026-08-07T14:26:53.493034Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:53.272419Z","title":null,"venue":null,"work_id":"237c2d90-3ebf-4588-99fd-5428732687c9","year":2017},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.470965Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:a580f92b195171eff2042d3aece34807c00b156d8d4c4534e6406f46f0df24dc","observation_id":"a6dcbfdb-fd28-4330-a124-deaa8bd2cd95","resolution":{"observed_at":"2026-08-07T14:26:53.359910Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:53.096718Z","title":"Jin and J","venue":null,"work_id":"00f9b5d2-d819-462b-8cac-42c999b6ab53","year":2021},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.565298Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:1e2a8d6651c49465338e0d54d13c74f084cf52e134b609775da5b728319d5319","observation_id":"4ef42a77-a8c2-4158-a27f-90a3b82c0a99","resolution":{"observed_at":"2026-08-07T14:26:53.153771Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:52.947013Z","title":"Korevaar, R","venue":null,"work_id":"6197a05f-65a2-452e-a278-5e92b287b6dd","year":1999},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.641233Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:a05346d3baefe6506fcdaccbdcd11cd8e353324025d45506a79822de8a99a3c2","observation_id":"19069cbf-e95c-417f-9f3c-a4bd11a878f0","resolution":{"observed_at":"2026-08-07T14:26:53.025096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:52.803582Z","title":"Le, On classical solutions to the Hartree equation,J","venue":null,"work_id":"46873092-dbe5-4ce9-83e2-f980f6b10bd4","year":2020},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.761195Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:033011e59f8a5d0f9665003c93e10890b48592d93df5084cfbdcdadc53c7b8f5","observation_id":"148ffc2c-7ae5-4ff7-8907-87c0657d6f9a","resolution":{"observed_at":"2026-08-07T14:26:52.864994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:52.599197Z","title":"Le, Symmetry and classification of solutions to an integral equation of the Choquard type,C","venue":null,"work_id":"cfbd564f-1f41-4bf9-b29a-42285e8c2d34","year":2019},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.851912Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:4bd5e56f7bee52c75d7a360174c59155cda9091c90d8907b7509ddd75441e6b9","observation_id":"7f1783f2-660b-468b-8a61-b08afd2be88d","resolution":{"observed_at":"2026-08-07T14:26:52.711798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:52.475898Z","title":"Li, Local asymptotic symmetry of singular solutions to nonlinear elliptic equations,Invent","venue":null,"work_id":"fe33ddd1-0d10-404d-916a-72f61911f99d","year":1996},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:47.949298Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:a7405ccc2b1e0f79bed546a5f4ab52d5b90abbacd5af27299f280ce8b6902ce8","observation_id":"805c4aa4-c08d-4529-a19f-01ef59e62749","resolution":{"observed_at":"2026-08-07T14:26:52.554018Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:52.333412Z","title":"Li, Remark on some conformally invariant integral equations: the method of moving spheres,J","venue":null,"work_id":"f1e902bf-5d70-4cf0-9365-e8864c451ae5","year":2004},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.073426Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:93e9f62262b13866e0754ace11b87f4cfae5abf7b35b0dfca1d3441321b52120","observation_id":"3d0d867e-b34e-4181-a461-560891788f7f","resolution":{"observed_at":"2026-08-07T14:26:52.405374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:52.163907Z","title":"Li and L","venue":null,"work_id":"83979126-eddf-4351-8afb-694dfe1cdd0a","year":2003},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.150538Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:5a100c612a7139b389d975e8b94ce29ecaad31fb377817441dc5376fab398221","observation_id":"0fd53955-c846-4be7-b78b-18f230c49440","resolution":{"observed_at":"2026-08-07T14:26:52.258649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:52.032558Z","title":"Li and M","venue":null,"work_id":"f2e1138b-b031-47b1-b427-3631c4ced5a2","year":1995},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.281433Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:225c9e1021ef1aa1c809e157b61da2a21ac717724e856ff7150aac11e911fc57","observation_id":"488f9326-a0c4-4779-8067-fc0529617cbf","resolution":{"observed_at":"2026-08-07T14:26:52.074785Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:51.867978Z","title":null,"venue":null,"work_id":"9ca43126-8054-42bc-a29e-6e244251a9ca","year":1976},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.352321Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:2b610080ee417e7f524af3db2e49a0a82756635c09d727de314532b28f5b7076","observation_id":"64e70821-3f50-4de5-b93b-a0f4c1319f60","resolution":{"observed_at":"2026-08-07T14:26:51.959575Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:51.725966Z","title":null,"venue":null,"work_id":"cf98de14-b65b-4aa1-8f9d-143cd62de527","year":1983},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.458425Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:d85b78f9a6750fe72b38316a8defcebd62ff7ccf9957762b8e232d7041da96e1","observation_id":"e3b27db1-485c-4b39-bcb7-a562b5a45f17","resolution":{"observed_at":"2026-08-07T14:26:51.797717Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:51.564100Z","title":"Lin, A classification of solutions of a conformally invariant fourth order equation inR n,Comment","venue":null,"work_id":"71ac8a30-be10-44d2-8653-81a607512f57","year":1998},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.522370Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:179155146b6d05d28388e2fb194f832db01690daf0ac973f0bd1b324f3c118d4","observation_id":"105c54b0-0339-4a13-be46-df3ba283abcd","resolution":{"observed_at":"2026-08-07T14:26:51.657681Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:51.307764Z","title":"Ma and L","venue":null,"work_id":"c6f3aafe-076c-43a7-8860-f85720fa8ab2","year":2010},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.618553Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:0801b860e65d0bb65a59f1be1e3c15701889770270d2b0b09ee63324ebd53d75","observation_id":"309d0cbf-fcee-4a8d-b578-6abcd82260b2","resolution":{"observed_at":"2026-08-07T14:26:51.424688Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:51.134125Z","title":null,"venue":null,"work_id":"63db204d-1c3b-4cbb-8ec8-b91882d99b48","year":2020},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.686112Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:0e12524369f2117d99d7701af51833e9cfe00c1dcfd2a77a3f32b357aa7e8dc2","observation_id":"3722e35b-2c07-4a68-bac4-3474fdec1bc0","resolution":{"observed_at":"2026-08-07T14:26:51.250409Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:50.916207Z","title":"Forum Math.27(2015) 373–447","venue":null,"work_id":"ccb5186d-35fa-4fde-b8a5-805dc29a2e40","year":2015},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.804187Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:f4890ec2cb2f875926eba2eefdbf7e185bf46e3a96379987e3e1a6b1f3be32dd","observation_id":"d38fb346-8f36-4ffe-a20a-4c2c244e2657","resolution":{"observed_at":"2026-08-07T14:26:51.007034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:50.747396Z","title":"Moroz and J","venue":null,"work_id":"a10dc27a-7064-4e76-b355-b89886ccd85f","year":2017},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.885896Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:2b6972479d8697e95769e9c0807a44f0d54b78786f151c092aa94e78ff37ffdd","observation_id":"bf58ceb8-b596-4e03-b94c-e341b1edefca","resolution":{"observed_at":"2026-08-07T14:26:50.841027Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:50.562600Z","title":"Pekar,Untersuchung¨uber die Elektronentheorie der Kristalle, Akademie Verlag, Berlin (1954)","venue":null,"work_id":"04a5f079-ec3f-47a7-b11c-8c1f8cabfcee","year":1954},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.923745Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:fbc53fd06fab2f4e53c98ef2a62c2eeadc3c209536fac4757ab365292314bfaa","observation_id":"eb162af2-5e04-4840-91e8-084e9b99c32f","resolution":{"observed_at":"2026-08-07T14:26:50.659982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.07984","last_updated":"2020-01-22T12:29:40Z","snapshot_observed_at":"2026-08-16T13:19:17.040820Z","submitted_at":"2020-01-22T12:29:40Z","title":"On constant Q-curvature metrics with isolated singularities","version":1},"cited_work":{"arxiv_id":"2001.07984","doi":null,"metadata_source":"pith","pith_arxiv_id":"2001.07984","snapshot_observed_at":"2026-08-07T14:26:49.514357Z","title":"On constant Q-curvature metrics with isolated singularities","venue":"math.DG","work_id":"6893f262-64a7-4691-9325-5f88cb053d88","year":2020},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:48.973776Z"},"links":{"cited_paper":"/paper/2001.07984","citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:7dc6f5bcca567348377c54aeb136a86f771ce075f01e0e5e4ea293577319b2fd","observation_id":"4d505632-913a-4bcf-a4ef-20a5eb78916b","resolution":{"observed_at":"2026-08-07T14:26:49.642235Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:50.372225Z","title":"Rodemich,The Sobolev inequality with best possible constant, Analysis Seminar Caltech, Spring (1966)","venue":null,"work_id":"96466d0b-92e3-4b34-a8b1-45e0285c289b","year":1966},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:49.046115Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:0838dff8388593ec1a4908274f3d0d98275d35fe19d36a6e3f398fae53a847d5","observation_id":"9b576621-3e7b-42e2-8687-c69d527396cd","resolution":{"observed_at":"2026-08-07T14:26:50.475779Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:50.181002Z","title":null,"venue":null,"work_id":"c0af8762-8b42-468f-89a1-ea1641b1a053","year":1963},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:49.154681Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:82d9d2fe8f6a107b18ff74d938427fa99982e66e2da1fc53c39e228f64cc0868","observation_id":"b8dde4a8-b838-4749-920d-801d3e30821e","resolution":{"observed_at":"2026-08-07T14:26:50.277485Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:49.980700Z","title":"Squassina, M","venue":null,"work_id":"14912ad1-8864-4bad-95b1-b25fda449f4c","year":2023},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:49.242643Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:5a972731e1206ba7826f29b28c9b815c10b95abddf8b4c1dd10197f16b8a54cb","observation_id":"2246a412-b2b8-45eb-ba0f-c99e9262093b","resolution":{"observed_at":"2026-08-07T14:26:50.089811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:26:49.765573Z","title":"Talenti, Best constant in Sobolev inequality,Ann","venue":null,"work_id":"fcc8b72c-133d-4aab-b1ed-29f3fb2b9db5","year":1976},"citing_paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T14:26:49.396214Z"},"links":{"citing_paper":"/paper/2505.19021"},"observation_digest":"sha256:5ca21278b03af2345513fbb9b2fd74dfb90d680d410c8ebfb5c681433a69e9ea","observation_id":"481c584e-784b-488f-8c2c-4476b39ce80b","resolution":{"observed_at":"2026-08-07T14:26:49.890450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.19021","last_updated":"2025-05-25T08:01:21Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T21:52:40.535949Z","submitted_at":"2025-05-25T08:01:21Z","title":"Local asymptotics for singular solutions to critical Hartree equations"},"reference_resolution":{"displayed":47,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":1,"verified_fuzzy":31},"total_outbound_references":47},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2505.19021."}