{"as_of":"2026-08-10T02:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3dd23b5df1b0382e2fee18abe50778017a3f0542b73b77bda49d9083390a52d9","coverage":[{"denominator":57,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":57,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T16:27:34.175449Z","state":"measured"},{"denominator":57,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":57,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2512.13811/citation-record","integrity":"/paper/2512.13811/integrity","json":"/paper/2512.13811/citation-record.json","paper":"/paper/2512.13811"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T16:27:32.126134Z","title":"Ambrosetti and A","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.126134Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:902eff4b7d4d8805d98349976e18f3ccaf77e95bbb6d84cc8a91a1383c40e562","observation_id":"653bd1b8-15a3-4b38-82ab-0298cac50a99","resolution":{"observed_at":"2026-08-03T16:27:32.126134Z","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":"2026-08-03T16:27:32.152378Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.152378Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:b1626c649dcf0107df9e28317827328df5a8f779306b784c10775984e601d6b8","observation_id":"5df2cd53-a8f8-4694-a1c2-a2319ec15194","resolution":{"observed_at":"2026-08-03T16:27:32.152378Z","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":"2026-08-03T16:27:32.232768Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.232768Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:d9380c08a8e93637d8dbdba1184f7c283106d2a6465c83f56c08954e8b4915d2","observation_id":"754d5cf9-a266-4ec5-bb41-8124fbb12926","resolution":{"observed_at":"2026-08-03T16:27:32.232768Z","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":"2026-08-03T16:27:32.319471Z","title":"Berti and A","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.319471Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:1f42da287407490d119eaaa932414d4d93f9b050b25a96c3ad883718b5baa9de","observation_id":"48f5926f-06a1-41ed-9d14-e2c42e8d22a5","resolution":{"observed_at":"2026-08-03T16:27:32.319471Z","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":"2026-08-03T16:27:32.404308Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.404308Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:61ed2b62cb8e810ef4abfd20058cb8e77da6dce9b6a1576da1d26bc9763d5cac","observation_id":"dbcf0b8e-8f30-4dbd-a794-b919a48729fd","resolution":{"observed_at":"2026-08-03T16:27:32.404308Z","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":"2026-08-03T16:27:32.461950Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.461950Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:ba2525d26550315256ee6e7aff166438411b303d5b3056cfa83247ff61a519eb","observation_id":"041909de-1236-46cb-bc87-bf5c67dc46df","resolution":{"observed_at":"2026-08-03T16:27:32.461950Z","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":"2026-08-03T16:27:32.513871Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.513871Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:3296d1335cf9368e53c11f07222ea11f8c77ee66bb9f38c51f9f18d6355eb7f0","observation_id":"2d6ca6a8-748a-4d3a-baed-8277eda7f6e3","resolution":{"observed_at":"2026-08-03T16:27:32.513871Z","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":"2026-08-03T16:27:32.567261Z","title":"Brendle and F","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.567261Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:953c165062b901db1e277f2f3f269c8a0b7c569445e64a9ec9fa1228a23d2e43","observation_id":"e312ab14-422b-414c-b7a2-4087e13984f2","resolution":{"observed_at":"2026-08-03T16:27:32.567261Z","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":"2026-08-03T16:27:32.616646Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.616646Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:0b9c73f34beafcc97955b7da3ef6e70cf9660be5080f70e441ed2026a35e9c79","observation_id":"d877f9bf-490e-4b6f-806c-72ac06500737","resolution":{"observed_at":"2026-08-03T16:27:32.616646Z","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":"2026-08-03T16:27:32.696611Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.696611Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:05b8cee461956b960ccb062085f927179b9217639e2069fb552e4543ec822e27","observation_id":"f831c02f-6a2b-4152-91ec-ef6083d55284","resolution":{"observed_at":"2026-08-03T16:27:32.696611Z","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":"2026-08-03T16:27:32.728999Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.728999Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:5812aff1278e6f17e82cf9fd6cc89dbf4392e6b883f8dd24057ec9f0c66d00f8","observation_id":"8ba498de-d580-4773-886b-7cd60b7bf296","resolution":{"observed_at":"2026-08-03T16:27:32.728999Z","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":"2026-08-03T16:27:32.797799Z","title":"Djadli and A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.797799Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:b0e264118d5432bbcb836e679ca8ff9b41adafc9b1111161b74b2845ddab4262","observation_id":"9d422093-7c84-46e4-b4fa-2e9124d66448","resolution":{"observed_at":"2026-08-03T16:27:32.797799Z","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":"2026-08-03T16:27:32.916872Z","title":"Djadli, A","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:32.916872Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:f877d6dd555ce3a456317a9e81c871432fb35b2708925fa8bd6a2b65e3fe44f5","observation_id":"272cd475-e349-45c1-b535-88242d1e6afb","resolution":{"observed_at":"2026-08-03T16:27:32.916872Z","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":"2026-08-03T16:27:33.042076Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.042076Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:b30ff58fa0cf5c8920454ca777f97e1a436dab42a8a8050a28772d0acff87b89","observation_id":"caac2be4-f5d2-4ebb-bcc1-0175782070cf","resolution":{"observed_at":"2026-08-03T16:27:33.042076Z","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":"2026-08-03T16:27:33.138278Z","title":"Gazzola, H.-C","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.138278Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:2d3f223c49ee748c88929baee13c2467657c1b9a4fd4b2743018e39ac407c5d8","observation_id":"3278e7bc-9265-4be6-b53d-223d48eb5502","resolution":{"observed_at":"2026-08-03T16:27:33.138278Z","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":"2026-08-03T16:27:33.274481Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.274481Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:7a15465c5dcace666df7fe34268a99eb6dbc38a1373423159e39a73f69b050a7","observation_id":"f44a15ac-c377-40e4-84a6-88b65dbfec1f","resolution":{"observed_at":"2026-08-03T16:27:33.274481Z","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":"2026-08-03T16:27:33.438623Z","title":"Gong and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.438623Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:4dba7f4a4e5ef0d3dfdf7551d024d7078e0ff4d69e84731b158489b680653074","observation_id":"84808f0f-a3a4-48ad-a1f4-3e83f04c3265","resolution":{"observed_at":"2026-08-03T16:27:33.438623Z","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":"2026-08-03T16:27:33.577307Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.577307Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:f821892fb90a9d4d4ff94070a5cfc84b09dfff9619f29bb2bfd372f38b013d96","observation_id":"513cfaa9-5e95-4027-a3f6-82b4c7bb15b2","resolution":{"observed_at":"2026-08-03T16:27:33.577307Z","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":"2026-08-03T16:27:33.714357Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.714357Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:3f72d2234e40d9c4fbcc911e2ba49122425d8c59aa67be572bdf075234cb43a9","observation_id":"40cfdf10-32dc-4eb0-b0f8-ab5e26ecdc59","resolution":{"observed_at":"2026-08-03T16:27:33.714357Z","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":"2026-08-03T16:27:33.801438Z","title":"Hang and P","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.801438Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:a5cead62473b7ab27099711770b66e5130e559e55688d175e05472f69b6b9e25","observation_id":"73ffaca7-6f15-4a2e-baeb-bc171ed96632","resolution":{"observed_at":"2026-08-03T16:27:33.801438Z","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":"2026-08-03T16:27:33.893382Z","title":"Hang and P","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.893382Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:ae7d010deb8a6acaea014cedaeed28d2298437842fc49daa84d3f79f6581e2c8","observation_id":"c4ba021f-ad17-4fc8-9ffb-0793ff591dd2","resolution":{"observed_at":"2026-08-03T16:27:33.893382Z","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":"2026-08-03T16:27:33.981310Z","title":"Hang and P","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:33.981310Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:7ae3e73e7ab84c246d244cfceacd6c833284c49af26dcc3eacf5be4a51c9bd62","observation_id":"efc6b30a-c5f6-4614-ae46-db29bcb24c27","resolution":{"observed_at":"2026-08-03T16:27:33.981310Z","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":"2026-08-03T16:27:34.062115Z","title":"Hang and P","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.062115Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:85dd6f1b304b84c76f47198195f34301a1ea92a44ed7f49a79ae0bbd13cc3330","observation_id":"372b1546-7b8f-4fd2-8d72-674d26adca8c","resolution":{"observed_at":"2026-08-03T16:27:34.062115Z","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":"2026-08-03T16:27:34.081690Z","title":"Hang and P","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.081690Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:9cf3a5fdbbb5802eda1c8883be1bee2cdc01f2c7e955f4ff53f5627793d7bfec","observation_id":"3d172a10-bc28-4277-bfe9-f05c8d2b5b34","resolution":{"observed_at":"2026-08-03T16:27:34.081690Z","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":"2026-08-03T16:27:34.085415Z","title":"Hebey and F","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.085415Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:3bbd8a5957d4f64c94ec91e43bd8c2ae511fb8e6ded94cc4ba2dc96b8989bc44","observation_id":"be013f52-f03d-4b5c-aa94-0be102cb07e8","resolution":{"observed_at":"2026-08-03T16:27:34.085415Z","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":"2026-08-03T16:27:34.088729Z","title":"Humbert and S","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.088729Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:2593ac82c9a53a2333888cffaac7cf6f51058884dee8f1ad148ce6829a910773","observation_id":"191fffd0-ef92-4bed-9424-be0f8cf4c86d","resolution":{"observed_at":"2026-08-03T16:27:34.088729Z","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":"2026-08-03T16:27:34.091462Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.091462Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:77b671a8d8abc578eb105d6a23093550aa0ddb130cc836a7365a1ff7765a0456","observation_id":"311d24cd-9a3a-4efc-b5a5-6f3a53d61735","resolution":{"observed_at":"2026-08-03T16:27:34.091462Z","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":"2026-08-03T16:27:34.094310Z","title":"Kobayashi","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.094310Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:c3a4599d0e7da61831c4ea0c7102dab2efa19cd474cc9999b86e409c4aa39161","observation_id":"5e91e4de-1bde-47c1-a7d0-0e808c716c7a","resolution":{"observed_at":"2026-08-03T16:27:34.094310Z","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":"2026-08-03T16:27:34.097286Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.097286Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:edbaab25f9de345f86120e1ecb159acbfe0e96fb7a20bec0fbdc9d3b3be6c2af","observation_id":"7b2a47c9-4664-4732-9f05-d75513efe369","resolution":{"observed_at":"2026-08-03T16:27:34.097286Z","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":"2026-08-03T16:27:34.100106Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.100106Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:2e1af6fcc998f078dcab7101f7ca9057582f26bd53fa5a7f45f7b18255c1a6a7","observation_id":"2a10c20e-fe70-43f4-8bb3-75b0db3205b4","resolution":{"observed_at":"2026-08-03T16:27:34.100106Z","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":"2026-08-03T16:27:34.103070Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.103070Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:d0f6bce2dac621e1899b61858c456fa486493a8b2fce6509e6c0e5df88d097dd","observation_id":"598b3d6b-50a0-4572-a577-1f17a031692c","resolution":{"observed_at":"2026-08-03T16:27:34.103070Z","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":"2026-08-03T16:27:34.105761Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.105761Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:1dad1a9d7514543367f198801cfce4b83b57e5d1e23a50ed77b949fb7b3fd2ec","observation_id":"b3c2bd99-4f50-4a4b-a40e-e5fdf7fd9ef3","resolution":{"observed_at":"2026-08-03T16:27:34.105761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.09872","last_updated":"2025-05-06T07:17:33Z","snapshot_observed_at":"2026-08-02T01:52:03.148250Z","submitted_at":"2024-05-16T07:48:51Z","title":"Conformal metrics with finite total Q-curvature revisited","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.09872","snapshot_observed_at":"2026-08-03T16:27:34.108438Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.108438Z"},"links":{"cited_paper":"/paper/2405.09872","citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:89356da9da14b5cb9d4b89a4b1cff99773130e48e4038c598ebacb6272086780","observation_id":"8b7a472b-3682-4985-9917-0cf81aa79fdc","resolution":{"observed_at":"2026-08-03T16:27:34.108438Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.23689","last_updated":"2025-03-31T03:38:56Z","snapshot_observed_at":"2026-08-07T16:26:19.816040Z","submitted_at":"2025-03-31T03:38:56Z","title":"Existence of complete conformal metrics on $\\mathbb{R}^n$ with prescribed Q-curvature","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.23689","snapshot_observed_at":"2026-08-03T16:27:34.111881Z","title":"Li and B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.111881Z"},"links":{"cited_paper":"/paper/2503.23689","citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:16b3da2d88f235857de7cbcfe7e66912e57b2e095fa9422c5e376ade5ef46e57","observation_id":"90449a8c-6ed7-44e2-8247-15f2c123585c","resolution":{"observed_at":"2026-08-03T16:27:34.111881Z","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":"2026-08-03T16:27:34.115053Z","title":"Li and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.115053Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:411cb46e22adbbb9e2e3e296446bde5d58df1e8855f507e46474f3ade42e25a9","observation_id":"53941324-a45d-4fdf-ac88-6efea20a57f8","resolution":{"observed_at":"2026-08-03T16:27:34.115053Z","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":"2026-08-03T16:27:34.117583Z","title":"Li and J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.117583Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:25cdd320b6524444d7477e8be41b51123c4af108505047ebb30bbe5e63964122","observation_id":"75864364-a76e-403f-8c7f-dcee5b8e5df8","resolution":{"observed_at":"2026-08-03T16:27:34.117583Z","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":"2026-08-03T16:27:34.120139Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.120139Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:a924979f6411760a65d73bafbf25b992c81a47a8c091145fa1920d0d76a1b4ef","observation_id":"f6028d70-9742-45d8-98aa-28638f07764d","resolution":{"observed_at":"2026-08-03T16:27:34.120139Z","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":"2026-08-03T16:27:34.122744Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.122744Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:9fab629d7d947dd7df400e0e78489820e26880f62118f793d1fccf046fc60424","observation_id":"a3c735ee-e08f-4ea0-819e-ead85e3b9809","resolution":{"observed_at":"2026-08-03T16:27:34.122744Z","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":"2026-08-03T16:27:34.125326Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.125326Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:000c643b2fb96d49681c5ebcc4e2360d85d11bb4593ab04b3f7094763003ea1c","observation_id":"0c65e3ad-1cbe-41c5-a19e-c3708c45cef7","resolution":{"observed_at":"2026-08-03T16:27:34.125326Z","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":"2026-08-03T16:27:34.128417Z","title":"Malchiodi","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.128417Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:2a26f8345fa4c45553c5ace093323b4c611dbf5873192e97fb3d8fe0239dd3cf","observation_id":"5b0db438-3997-4411-bd5b-42e89e6dc277","resolution":{"observed_at":"2026-08-03T16:27:34.128417Z","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":"2026-08-03T16:27:34.131060Z","title":"Malchiodi","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.131060Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:63a95f9066760f658a5608b42f1d39f5d36087099895799916f713c0abbc4dc8","observation_id":"d40aee13-5fb5-4e0a-ba2c-e5961b2e528f","resolution":{"observed_at":"2026-08-03T16:27:34.131060Z","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":"2026-08-03T16:27:34.134274Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.134274Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:e089f91083f55aab02736d9f7d2e6a8e223d5bd20ac0b1334c06ec4d8301e69e","observation_id":"654f8acf-c252-42e9-ab50-8aa9c43926c6","resolution":{"observed_at":"2026-08-03T16:27:34.134274Z","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":"2026-08-03T16:27:34.137091Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.137091Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:8409f5252c1417e88f51745003cd0e12783e3732149fe6fa15f67d7f7faee23a","observation_id":"7fa83716-3df2-476c-9ace-d2db3bb1cf91","resolution":{"observed_at":"2026-08-03T16:27:34.137091Z","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":"2026-08-03T16:27:34.140106Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.140106Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:d8f56372f7c027821275f40d6cfeee14267dcc5391425ee0fb7c58b99ba10076","observation_id":"c6588379-6ead-45ab-bc78-1e39496df8a9","resolution":{"observed_at":"2026-08-03T16:27:34.140106Z","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":"2026-08-03T16:27:34.143112Z","title":"Mazumdar and B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.143112Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:0a66cd014ff477bc7cc180590762cfd46fe580a2cd149ac05a7e17157c8d903a","observation_id":"6c6c0615-4ee4-4c53-9c8e-8f18ce2e327c","resolution":{"observed_at":"2026-08-03T16:27:34.143112Z","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":"2026-08-03T16:27:34.145816Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.145816Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:d35377b3fc780b2ec53bc6169b9b267256a937017f972c1ca9ec02ba41f678ec","observation_id":"707d6b8d-ff37-465b-b64a-ce3bfa01e192","resolution":{"observed_at":"2026-08-03T16:27:34.145816Z","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":"2026-08-03T16:27:34.148254Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.148254Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:e6edbe8160ead3a6d77d7fd54c3d84bb832313534b9df1f0373bc07c26451784","observation_id":"7e63fbf5-6dda-4350-bedb-a0b7ddf087bd","resolution":{"observed_at":"2026-08-03T16:27:34.148254Z","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":"2026-08-03T16:27:34.150685Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.150685Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:9f728f83c373d6e0ea4bbcf7e27b4c2f50030b0f8aa3b4d2fda00862e4c1b2e3","observation_id":"78345689-f989-44fe-8d01-97c603e668c6","resolution":{"observed_at":"2026-08-03T16:27:34.150685Z","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":"2026-08-03T16:27:34.153284Z","title":"Qing and D","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.153284Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:e622b26af166b2dbc3ef3676208c1fbe56eb423aa8c04494f1f94978388965fa","observation_id":"9f9b4ff0-c24e-4f1a-8be3-87955d43e3b9","resolution":{"observed_at":"2026-08-03T16:27:34.153284Z","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":"2026-08-03T16:27:34.155994Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.155994Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:34413914bcb2ae3221046c4308cf00f17fa49db5c5cb293be912f51d8ad1490a","observation_id":"5c838aeb-201c-4b44-9f6d-0614fd117869","resolution":{"observed_at":"2026-08-03T16:27:34.155994Z","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":"2026-08-03T16:27:34.159114Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.159114Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:a36351e4ba2e2528b64586391ee86a7646e4d760adb2aac4d7be972aa569077c","observation_id":"6bf37124-59a8-4f1d-ae88-89be0d5fcca3","resolution":{"observed_at":"2026-08-03T16:27:34.159114Z","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":"2026-08-03T16:27:34.161955Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.161955Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:a537f382acb451ca32ff62b908d4533c0bdfa59a17378f4964485ec5b589cc0f","observation_id":"03db811c-1d01-4e90-ae70-9829e5f6d1e1","resolution":{"observed_at":"2026-08-03T16:27:34.161955Z","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":"2026-08-03T16:27:34.164720Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.164720Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:f304027be92d473c2b19cebc432b85c0f4591fe2bbbd3a03c5b2fb0d27f37418","observation_id":"264374e5-f6c2-41f0-891f-e2fd734192df","resolution":{"observed_at":"2026-08-03T16:27:34.164720Z","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":"2026-08-03T16:27:34.167304Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.167304Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:fe604cc1fb6713215542fc324bcd88eb5faa3f5e5ad3268ab839683baa953471","observation_id":"a46da77c-4028-4646-b911-38fd6a9392dd","resolution":{"observed_at":"2026-08-03T16:27:34.167304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0903.3446","last_updated":"2011-06-08T04:58:22Z","snapshot_observed_at":"2026-07-06T01:52:38.974823Z","submitted_at":"2009-03-20T02:56:26Z","title":"Non-compactness of the Prescribed Q-curvature Problem in Large Dimensions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0903.3446","snapshot_observed_at":"2026-08-03T16:27:34.169919Z","title":"Wei and C","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.169919Z"},"links":{"cited_paper":"/paper/0903.3446","citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:c9732dcd503eaf4469006fdd39110eeae3603db49fff86ba71ab987990c75170","observation_id":"65d02ad0-a386-471e-ba23-cbd9607fbf4f","resolution":{"observed_at":"2026-08-03T16:27:34.169919Z","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":"2026-08-03T16:27:34.172833Z","title":"Wei and C","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.172833Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:44e34439b7c5fad159f8f16150d9121469b75a9c3355e0a93563836767d7562f","observation_id":"49008347-eeba-43a0-ba62-529f964177d8","resolution":{"observed_at":"2026-08-03T16:27:34.172833Z","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":"2026-08-03T16:27:34.175449Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-03T16:27:34.175449Z"},"links":{"citing_paper":"/paper/2512.13811"},"observation_digest":"sha256:73eab7a50a53dedd3f38c474f6cb4b312afeb3dbb2a2f9e6758a0d5035555d9d","observation_id":"5809f745-b60a-424a-842f-460eb878941f","resolution":{"observed_at":"2026-08-03T16:27:34.175449Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2512.13811","last_updated":"2026-06-24T16:06:51Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-03T16:27:29.766125Z","submitted_at":"2025-12-15T19:00:58Z","title":"Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions"},"reference_resolution":{"displayed":57,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":57,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":57},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2512.13811."}