{"as_of":"2026-08-14T02:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:79d1987951f2559f3082a07a64d24d8f208a1484b36e795e18f5dc0ca070d7c0","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T21:10:20.009093Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2608.10608/citation-record","integrity":"/paper/2608.10608/integrity","json":"/paper/2608.10608/citation-record.json","paper":"/paper/2608.10608"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:10:20.523869Z","title":null,"venue":null,"work_id":"a7787248-cce2-47d5-b782-25d55b3afee3","year":2023},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.898575Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:3ba92c190acedec80ce7314bb902f3a8ad9e88c993bc2dd6c630162af1cdea99","observation_id":"d5d103b6-774c-4a7a-85f8-612c2e3e36bc","resolution":{"observed_at":"2026-08-12T21:10:20.530979Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:10:20.369792Z","title":"L¨ uhrmann and W","venue":null,"work_id":"e3709ac9-e67b-4466-904c-4ece883f90b2","year":2023},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.965228Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:8890e28f7fd2264f754b080f94d11efe5b4e24e6eaf172b20cf2e5c86644024b","observation_id":"4cd6a188-cf2b-47f4-a6b8-60d43b7829ec","resolution":{"observed_at":"2026-08-12T21:10:20.376728Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:10:20.451920Z","title":"Lecture Notes","venue":null,"work_id":"d0ab4bec-7d5a-44ae-bdf9-5054dd4b9dde","year":2002},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.935088Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:45c527a3807e71e450b98a9a0cfb6e2ca469a86735229c49edaa0b3ae66674c3","observation_id":"76e8264c-ca41-4c46-aa13-d62288576e23","resolution":{"observed_at":"2026-08-12T21:10:20.459634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.04393","last_updated":"2024-09-06T16:32:57Z","snapshot_observed_at":"2026-08-12T22:49:51.160280Z","submitted_at":"2024-09-06T16:32:57Z","title":"Linearized dynamic stability for vortices of Ginzburg-Landau evolutions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.04393","snapshot_observed_at":"2026-08-12T21:10:19.977836Z","title":"Lecture Notes","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.977836Z"},"links":{"cited_paper":"/paper/2409.04393","citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:af56385eaf281a4bb056a5b2af4176c269e358bf721c7a2b1c3dedc6d3e0f5fd","observation_id":"314f8052-8c91-41e9-9b9a-dd47551dd3c0","resolution":{"observed_at":"2026-08-12T21:10:19.977836Z","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":"2026-08-12T21:10:20.009093Z","title":"Zhao.Convergence of the self-dual abelian Higgs gradient flow","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:20.009093Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:438f8f0167e238e4fe5a86c18e6f4ab3520dd9581d7f714eadd57fdd1c7d54d6","observation_id":"f660b7dd-49dc-48ef-b30e-c58ecc207e56","resolution":{"observed_at":"2026-08-12T21:10:20.009093Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:10:20.473103Z","title":"American Mathematical Society, Providence, RI, 2024, pp","venue":null,"work_id":"1f5b0ec5-39e5-4330-b2d7-2105f8dbce1d","year":2006},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.928606Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:0a47d885d346c90dc6d7afaa912c7c80fa8ed8b288953fe9526ccb5d1320322f","observation_id":"bd725143-f273-4875-a672-62c51ff06e82","resolution":{"observed_at":"2026-08-12T21:10:20.479996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:10:20.269884Z","title":"In:Journal of Inequalities and Applications2017 (2017), p","venue":null,"work_id":"f18aef3f-74a0-4a9d-be0e-bcb464ade59b","year":2017},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":428,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:20.003314Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:5df4e65de27a51c2e39f2fef13095611ef189fca365729fcbfcb95919b359bb4","observation_id":"bf4f2192-cd05-4597-92ac-74d552fe90c8","resolution":{"observed_at":"2026-08-12T21:10:20.277094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:10:20.395445Z","title":"Kowalczyk, Y","venue":null,"work_id":"3d76f957-efb9-43d6-b77b-cc2b0675c177","year":2017},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":832,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.947028Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:03f134ad120d0839cb02ca1ccaf806ad1e52c3c3488e772d81b8cd5c8802f1e6","observation_id":"d6547b98-ae16-4cf6-9599-b5a7a6d57984","resolution":{"observed_at":"2026-08-12T21:10:20.405553Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:10:20.498674Z","title":"Demoulini and D","venue":null,"work_id":"f624b4a4-28e3-49d3-817f-70da4d74a6d1","year":1997},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":1100,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.920839Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:e39b29bae6c273e3dbfe5a24d0c08ec9bfa10a9656db2bfe8c1be133825129ff","observation_id":"98bcc769-3c64-4383-b9f7-ebfbd4a2edc9","resolution":{"observed_at":"2026-08-12T21:10:20.506016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.04260","last_updated":"2022-02-15T17:28:19Z","snapshot_observed_at":"2026-08-11T09:15:41.602978Z","submitted_at":"2020-09-08T15:52:31Z","title":"Long-time asymptotics and stability for the sine-Gordon equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.04260","snapshot_observed_at":"2026-08-12T21:10:19.907140Z","title":"Berger and Y","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":1468,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.907140Z"},"links":{"cited_paper":"/paper/2009.04260","citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:977d5690a3a6fa785709ae93f3298a8d5dd5dc9125c883331897e692431c7808","observation_id":"c2570279-e3e8-4052-805c-192bbccfaba3","resolution":{"observed_at":"2026-08-12T21:10:19.907140Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:10:20.421719Z","title":"Koch and D","venue":null,"work_id":"526ee981-f606-4005-b7ca-0a0b0a2faa5c","year":2026},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":1995,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.941361Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:8b71a14cf39c404d05b1c25c877fd882659b38751da50b38e3e415f34c609886","observation_id":"c46b4a66-8622-4289-9e71-8e50e630bc63","resolution":{"observed_at":"2026-08-12T21:10:20.433302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:10:20.345918Z","title":null,"venue":null,"work_id":"b7f7b2b7-fa80-420b-8895-954d883925a4","year":1990},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":2004,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.971735Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:d9665704088441cabfc6d10555f84307098612d968e3626883bf2e61cda0f8a2","observation_id":"9a702ee6-8d1c-4ac9-980a-64f67e92cade","resolution":{"observed_at":"2026-08-12T21:10:20.353396Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:10:20.318621Z","title":"Setˆ o.Bargmann ’s inequalities in spaces of arbitrary dimension","venue":null,"work_id":"5be52cf6-1045-49d2-8cae-47c9b06c61c6","year":1973},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":2007,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.987682Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:d1c7cb1eca50f7bc2cb4199a568b3abcbbde7a4858bc9a8448cdc33cfc181dbe","observation_id":"9d970093-58c8-42ea-ba87-90288b069468","resolution":{"observed_at":"2026-08-12T21:10:20.327332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:10:20.293439Z","title":"Tsai and H.-T","venue":null,"work_id":"0af24687-4e96-4410-a2b0-c69192f3f28d","year":2002},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.994889Z"},"links":{"citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:a0c801eb78cbacd2f4a748f3acf8b089f1b1e241b4f4ad1e9904b1cd8af2b999","observation_id":"12a943dd-223d-4a66-9dcf-eb3d75914c4f","resolution":{"observed_at":"2026-08-12T21:10:20.301829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.08843","last_updated":"2024-05-23T15:13:56Z","snapshot_observed_at":"2026-08-13T19:47:25.053515Z","submitted_at":"2020-09-18T13:57:34Z","title":"A stability theory beyond the co-rotational setting for critical Wave Maps blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.08843","snapshot_observed_at":"2026-08-12T21:10:19.952634Z","title":"Krieger, S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.952634Z"},"links":{"cited_paper":"/paper/2009.08843","citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:c503bd997b6954aa3516164e6c4cbdb8b7b891ce9ab3144b01982684ee30b140","observation_id":"218a8949-c34b-4bcb-ad94-987bb712debf","resolution":{"observed_at":"2026-08-12T21:10:19.952634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.13163","last_updated":"2024-06-21T00:38:52Z","snapshot_observed_at":"2026-08-13T17:08:49.104791Z","submitted_at":"2021-12-25T00:33:57Z","title":"Internal modes and radiation damping for quadratic Klein-Gordon in 3D","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.13163","snapshot_observed_at":"2026-08-12T21:10:19.959116Z","title":"L´ eger and F","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.959116Z"},"links":{"cited_paper":"/paper/2112.13163","citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:607865173db54748251bbf364b7e182f5b5ec67e40846a11a483bf5beeff249b","observation_id":"8dae4e0c-955f-44ee-9974-680453e2284b","resolution":{"observed_at":"2026-08-12T21:10:19.959116Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.02953","last_updated":"2025-06-26T17:03:15Z","snapshot_observed_at":"2026-08-07T17:29:27.921516Z","submitted_at":"2025-03-04T19:20:07Z","title":"Estimates for the Gross-Pitaevskii equation linearized around a vortex","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.02953","snapshot_observed_at":"2026-08-12T21:10:19.914017Z","title":"Collot, P","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics","version":1},"reference_index":2026,"source":"pdf_text","source_observed_at":"2026-08-12T21:10:19.914017Z"},"links":{"cited_paper":"/paper/2503.02953","citing_paper":"/paper/2608.10608"},"observation_digest":"sha256:81d7cc914680434c184fca9f632820a149a078e9d7b26d272ec12ef7268bb99c","observation_id":"74eb9b1b-b172-4e84-9568-e69115c12c5c","resolution":{"observed_at":"2026-08-12T21:10:19.914017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.10608","last_updated":"2026-08-11T07:52:45Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T02:11:01.560285Z","submitted_at":"2026-08-11T07:52:45Z","title":"Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":17},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2608.10608."}