{"as_of":"2026-08-22T02:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:98dc584cd5fda8926a1c90fa8084e1ef43eb10c7d6dc6068c1a807075b7f2056","coverage":[{"denominator":62,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":62,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T20:35:07.642925Z","state":"measured"},{"denominator":63,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":63,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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":"2026-05-14T02:26:03.631925Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-14T02:28:41.583923Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"cited_work":{"arxiv_id":"2411.09617","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.09617","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Altmann, M","venue":null,"work_id":"8a63453f-e8ea-4fdc-9bf6-933d72573014","year":null},"citing_paper":{"arxiv_id":"2603.28174","last_updated":"2026-04-07T09:40:42Z","snapshot_observed_at":"2026-08-18T08:16:50.413240Z","submitted_at":"2026-03-30T08:41:58Z","title":"Structure and symmetry of the Gross-Pitaevskii ground-state manifold","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-14T02:26:03.631925Z"},"links":{"cited_paper":"/paper/2411.09617","citing_paper":"/paper/2603.28174"},"observation_digest":"sha256:f25d516413864b51e551079a698423fadf1819ccc3b40c233ba3b559a45a4773","observation_id":"b0f94223-bfac-4cdf-9728-b326b1831bbc","resolution":{"observed_at":"2026-05-14T02:28:41.590002Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.09617/citation-record","integrity":"/paper/2411.09617/integrity","json":"/paper/2411.09617/citation-record.json","paper":"/paper/2411.09617"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2006.16614","last_updated":"2020-10-10T10:00:26Z","snapshot_observed_at":"2026-08-21T16:15:47.797358Z","submitted_at":"2020-06-30T09:10:23Z","title":"Haptic human-human interaction does not improve individual visuomotor adaptation","version":2},"cited_work":{"arxiv_id":"2006.16614","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.16614","snapshot_observed_at":"2026-08-12T20:35:08.918164Z","title":"Haptic human-human interaction does not improve individual visuomotor adaptation","venue":"cs.HC","work_id":"ab0e7a65-ca52-4278-8ee0-91e9dcc74e0a","year":2020},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.280627Z"},"links":{"cited_paper":"/paper/2006.16614","citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:9ca1276b460d0cf44bb17136e301372ddd44170caf16ead08bb8a4324fae09c5","observation_id":"ed1de93f-beba-4a50-af85-0a8c9b6557a7","resolution":{"observed_at":"2026-08-12T20:35:08.924916Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.286848Z","title":"Absil, R","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.286848Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:e17376106b6a708101d972ddd00b6a901fe31a82378e8e4074945d9573e930d8","observation_id":"c6a618c2-c0a7-4162-a5d7-c90107fbcbe2","resolution":{"observed_at":"2026-08-12T20:35:07.286848Z","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":"2026-08-12T20:35:07.292875Z","title":"Alt , Linear Functional Analysis: An Application-Oriented Introduction , Springer, London, 2016, https: //doi.org/10.1007/978-1-4471-7280-2","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.292875Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:d44f2fa49436a1b615652e6f4b8622ddb672ec4ec611d1cdb8ec3c856d25f9bc","observation_id":"17145ddb-e15d-4c1c-9d20-76a006850b52","resolution":{"observed_at":"2026-08-12T20:35:07.292875Z","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":"10.1007/bf01300872","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:08:50.044864Z","title":"Alt and K","venue":"Computational Optimization and Applications","work_id":"4898757d-8235-49cf-bbee-42c96e8533b9","year":1995},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.298652Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:2e884bff764d38fb8c15c1bd93c1a79169dc9f528095b702cec56e5555d77a32","observation_id":"aa430898-d1b4-4166-a510-655386a9204b","resolution":{"observed_at":"2026-08-12T20:35:08.504282Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:35:09.160139Z","title":"Altmann, P","venue":null,"work_id":"3eda26bf-6d1b-4391-9c32-e7b0baff689d","year":2020},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.304557Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:cd4792dbb78a0ded28df54de7026b3214af654ca300ae64badde7b6da629ee00","observation_id":"1646c9d8-0d13-4f32-aee5-85e44f915c6b","resolution":{"observed_at":"2026-08-12T20:35:09.165433Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00211-021-01216-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-18T11:03:46.223893Z","title":"Altmann, P","venue":"Numerische Mathematik","work_id":"fa05fae6-9518-4546-9016-96203ce2be18","year":2021},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.311453Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:8985e3accd896b89936e61e5963f3089757b990fa0415461277bb1738c3535f3","observation_id":"0a869f5c-be9f-4859-a8eb-353cf406c3c0","resolution":{"observed_at":"2026-08-12T20:35:08.486468Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:35:09.137132Z","title":"Altmann, P","venue":null,"work_id":"1780fb4b-7692-4756-80e0-826f0512bbff","year":2022},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.318745Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:3a0a9e321aa389a348e184b919941072ced0a3c2ee08c43516da8d760a988dbd","observation_id":"1a1c169e-b3f0-494b-be92-7f3d523240cf","resolution":{"observed_at":"2026-08-12T20:35:09.143250Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/19m1252594","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.464582Z","title":"Altmann and D","venue":null,"work_id":"710c49c0-2950-4022-b9bc-04adbf8b64bf","year":2019},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.324064Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:8738843667093d1e2e1eb5b62719d9d06e339979c9aaea07f1b0c5020250f1d1","observation_id":"ebb5af11-e610-41d0-96e5-d4df3ec5b7ea","resolution":{"observed_at":"2026-08-12T20:35:08.469918Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.329508Z","title":"Altmann, D","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.329508Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:0d16f1ba7cbb067b4bf0feeb7c5c2c4ea368df6d6181ccdbe53a41ba589d8b2f","observation_id":"daaaac6a-639f-4b0a-986d-72d1accb894a","resolution":{"observed_at":"2026-08-12T20:35:07.329508Z","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":"2026-08-12T20:35:09.111082Z","title":"Altmann, D","venue":null,"work_id":"ca4d403c-94ac-4c03-816e-e4cbd5193587","year":2024},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.335347Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:f772418437efa6eeb4aa06f01e4159654252cac04405af6e721c044f97837446","observation_id":"9cf99c10-6494-4aa7-834b-4fd69b217f3e","resolution":{"observed_at":"2026-08-12T20:35:09.116341Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.340994Z","title":"Antoine and R","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.340994Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:e606ba23dd490d8b2cfc9b91aa3ee0463a2b0da905719aee8e86d47279fb8ded","observation_id":"2ddcd02b-d92d-409f-83c6-a466e5886d95","resolution":{"observed_at":"2026-08-12T20:35:07.340994Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2013.10.045","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.431053Z","title":"Antoine and R","venue":null,"work_id":"37cb21de-0979-4427-962d-60c00e863526","year":2014},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.347214Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:3221964629199c1456daaefd2f1da2c1e28d121c5ca5a6b6027bec9005d4906d","observation_id":"12527b1f-c111-4d07-a2dc-16df2f790fe3","resolution":{"observed_at":"2026-08-12T20:35:08.436997Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2017.04.040","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.412462Z","title":"Antoine, A","venue":null,"work_id":"ec41dd5b-b8e4-4c66-9622-acd959b745ef","year":2017},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.353731Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:9a47b9d051736b090c13b448ba1f66f90dbf2f2910e9d9559bfc50644ec333e0","observation_id":"1e0c90bc-a101-4b32-9f2e-c0e4c07a2b13","resolution":{"observed_at":"2026-08-12T20:35:08.417638Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/030600209","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.394784Z","title":"Bao, Ground states and dynamics of multicomponent Bose–Einstein condensates , Multiscale Model","venue":null,"work_id":"411195d5-1ee6-4351-b40a-f8d6aa269349","year":2004},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.359061Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:d2c69aed31d344907fb06496f7cd5f0170c888d5196b4aa8d31649a1ad75cdfe","observation_id":"c7dfe16e-810a-482f-9c6a-04ba81cd1fe6","resolution":{"observed_at":"2026-08-12T20:35:08.400307Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4208/eajam.190310","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.376401Z","title":"Bao and Y","venue":null,"work_id":"ccaf92f8-0997-40d1-a378-0ad0f1facea5","year":2011},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.364520Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:34f8cfe8a8aaaab3b9030301eb3cf86de610980360c3516bb5792a3aa997f832","observation_id":"fd7dc621-6b65-4978-b157-d4533584f687","resolution":{"observed_at":"2026-08-12T20:35:08.381808Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.370523Z","title":"Bao and Y","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.370523Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:ac8014c6fa0ccec70578d3b7ae01b2f915408e5be6c0e4079166681318962b2a","observation_id":"1902383f-ba24-4acd-9612-f18a4b12d4fe","resolution":{"observed_at":"2026-08-12T20:35:07.370523Z","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":"2026-08-12T20:35:07.376459Z","title":"Bao and Y","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.376459Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:f2323bb93bc7517cbb0cd3c849babcf90c95a30f438b0803480c9370b06b0a7a","observation_id":"c70117f0-391b-4320-a738-f0a5fe1840c8","resolution":{"observed_at":"2026-08-12T20:35:07.376459Z","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":"10.1016/j.jcp.2006.04.019","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.330426Z","title":"Bao, I.-L","venue":null,"work_id":"01d63c8b-3d14-4a29-a4f8-54f205b1c753","year":2006},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.382407Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:3cdc778e9ba9c349a4784eabfa6b2a2bc322e4c9233d7d6416e328cec6dfee8f","observation_id":"74e179a6-441f-41da-b032-def3ac6a755c","resolution":{"observed_at":"2026-08-12T20:35:08.337194Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2013.06.036","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.302739Z","title":"Bao, I.-L","venue":null,"work_id":"43aedab3-956d-454b-b752-8bd5d175786a","year":2013},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.388198Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:1fb6633688931a490295fa967f6b1fba129de929d0bc3578cd55b74aa4b9e867","observation_id":"cebcad77-f615-47f9-9e82-311e336006ad","resolution":{"observed_at":"2026-08-12T20:35:08.311665Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.393973Z","title":"Bao and Q","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.393973Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:dfad1b9cfd919a26b92c5fb7e5f0d686a96cba5a31f2e236ae3695abcc7f9ee4","observation_id":"63f71338-9fdf-4cbb-839a-59caca73831f","resolution":{"observed_at":"2026-08-12T20:35:07.393973Z","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":"10.1016/s0021-9991(03)00097-4","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.256000Z","title":"Bao and W","venue":null,"work_id":"f459d246-862b-4558-8564-bc75fb57530d","year":2003},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.399268Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:c248d10e86a0c30c84f2743992781c148b373f21ae6b39d4d14a736325d4e8fe","observation_id":"77114225-66ee-4fd9-8dc3-0dddd8df7e8c","resolution":{"observed_at":"2026-08-12T20:35:08.264720Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/18m1232838","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.227039Z","title":"Bouchard, B","venue":null,"work_id":"be16348d-76dd-434b-8dfb-fdc068bdd3da","year":2020},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.405566Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:b490653baf78e08c317a2e32d8bf7dc99b5edb48951d72720dcc6066b47433f8","observation_id":"efde8ad4-b106-4edf-8789-a390ec5a1abd","resolution":{"observed_at":"2026-08-12T20:35:08.232703Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:35:09.091174Z","title":"Caliari, A","venue":null,"work_id":"4d12cf3a-a59b-401c-b15f-8136c30d2596","year":2009},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.412232Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:3a0defa2b921f1d70891430b6c861005d1e6db8470ff572f7310f9f8e5df014d","observation_id":"c7c650c2-cef8-469c-b75d-cd6559901d72","resolution":{"observed_at":"2026-08-12T20:35:09.098989Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.417655Z","title":"Canc`es, R","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.417655Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:78023262e93e204cc6ca7d8cce4a071112c69f83dbfe2d6e87fa13a3ea496f28","observation_id":"a4e43abb-eb79-4d14-9057-d89bda8f91e2","resolution":{"observed_at":"2026-08-12T20:35:07.417655Z","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":"2026-08-12T20:35:07.423423Z","title":"Canc`es, G","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.423423Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:18cc474521fe01e6f4f851b5dea3cb2c96a5509567687ea56c59ab5bbec30132","observation_id":"5494619e-0cfc-4606-8df5-6632f4429021","resolution":{"observed_at":"2026-08-12T20:35:07.423423Z","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":"10.1016/j.jcp.2005.04.019","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.165228Z","title":"Chang, Y.-C","venue":null,"work_id":"c7a51cff-229a-4a78-b1f5-e6f5054103c8","year":2005},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.428907Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:35a21a9700629c7d15e4a9a82509d7f649b913340ab6e4ece84969ea857f3cd1","observation_id":"e076b003-67e3-47ac-955a-20620c704056","resolution":{"observed_at":"2026-08-12T20:35:08.172221Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreva.67.013606","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.141031Z","title":"Chen and Y.-S","venue":null,"work_id":"105d653b-689c-4d87-b717-e7b50facf2a8","year":2003},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.435113Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:a7f0c7b9f8f56122014da683c69698e57b014f7af8ef18a60a9f16d4b26da42c","observation_id":"c2abc02a-b616-464f-8e7a-e57e144b3a3c","resolution":{"observed_at":"2026-08-12T20:35:08.148709Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.440975Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.440975Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:3de7df5e86dafd6416b2f3c3c026e7171160b1dc79f1e711880fb95c59ecf067","observation_id":"a54463ce-39c4-44f0-a6f5-4589f3ebf7ca","resolution":{"observed_at":"2026-08-12T20:35:07.440975Z","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":"10.1090/mcom/4032","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.090535Z","title":null,"venue":null,"work_id":"fb522514-0ca2-43a3-a579-65f5e1634911","year":2024},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.447356Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:be7f7d072efb9dad5f5b2f32d77e41a57db0b87f70b9d3dbaf800ccc414c9193","observation_id":"c23a552a-0a33-4793-92ce-9e5b0fcbfbd6","resolution":{"observed_at":"2026-08-12T20:35:08.099246Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/100782115","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.061096Z","title":"Danaila and P","venue":null,"work_id":"9c566322-e6be-448d-9718-dd32508bc3ae","year":2010},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.454022Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:5d33702a8e3ee420ed584a7eecde6c814ed0bb72ee1d82e4108976e7217ad134","observation_id":"68d497a2-0bf7-45fb-a4dc-64a389b95b33","resolution":{"observed_at":"2026-08-12T20:35:08.072775Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.459492Z","title":"Danaila and B","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.459492Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:6401605e298c97cba822543acc96dc314b611c7a3daa5fbcfc2551b02c59bba4","observation_id":"15ffe9eb-c7f4-451c-8443-0bb48a6d0f98","resolution":{"observed_at":"2026-08-12T20:35:07.459492Z","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":"10.1016/j.cpc.2007.04.007","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.008459Z","title":null,"venue":null,"work_id":"52a5a54d-c85a-4ae1-92a4-b5dc2e74d18d","year":2007},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.464477Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:0d68e92044abaef6e1e3b64f356ce28b7a9ef3b42f0fadd0f8b05728943b5c46","observation_id":"fcdb790d-3499-4c65-9012-1a38ac184c84","resolution":{"observed_at":"2026-08-12T20:35:08.015666Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.470079Z","title":"Du and C.-S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.470079Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:0fc4359465a9b11f4a8e95460aa35d85b8c58abba2a3e12674f52cb16ffb7f65","observation_id":"7ff5e872-a201-431c-a03f-7391c3b3c3a8","resolution":{"observed_at":"2026-08-12T20:35:07.470079Z","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":"2026-08-12T20:35:09.073460Z","title":"Evans, Partial Differential Equations , AMS, Providence, R.I., 2 ed., 2010","venue":null,"work_id":"cec1fd4f-5324-49c8-89e8-e0cc37ca99de","year":2010},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.476200Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:ee268e6a2ce7a2d0adc88d3285c01b0bd42fd28cf0e4b2702d559cad4f66d8f4","observation_id":"64aa051d-e30a-488a-b40e-cb055174e998","resolution":{"observed_at":"2026-08-12T20:35:09.079236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imanum/drae048","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.962794Z","title":"Gallistl, M","venue":null,"work_id":"70b3147f-14eb-4046-92ba-96f65076006a","year":2024},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.483243Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:8371ef3e8df604a45ae4b21933c188a601c8ae068746f40378db816d1c90128c","observation_id":"72188d34-1d83-4a88-a22d-490a78b704be","resolution":{"observed_at":"2026-08-12T20:35:07.969275Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.08873","last_updated":"2025-02-18T09:17:24Z","snapshot_observed_at":"2026-08-17T23:06:13.309194Z","submitted_at":"2023-06-15T06:13:52Z","title":"Optimization on product manifolds under a preconditioned metric","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.08873","snapshot_observed_at":"2026-08-12T20:35:07.489533Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.489533Z"},"links":{"cited_paper":"/paper/2306.08873","citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:98f61279d792b31cedc3bb80048f7adbee4907baf98dedd968285301d3c0d900","observation_id":"a3c4b7f7-e43a-4992-9a8f-f98293cb4541","resolution":{"observed_at":"2026-08-12T20:35:07.489533Z","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":"10.1137/s1064827500377721","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.922723Z","title":null,"venue":null,"work_id":"cf70ad21-b586-47b9-928f-5bd3cb89552b","year":2001},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.495640Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:a6bbc7cd55eb61f860856d7763ff1a937d97c54c792bc7aeabeb1840bb74ba43","observation_id":"111f2448-6259-4028-91d2-ffcce917b498","resolution":{"observed_at":"2026-08-12T20:35:07.928544Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.17090","last_updated":"2024-05-27T12:07:21Z","snapshot_observed_at":"2026-08-16T13:49:04.887439Z","submitted_at":"2024-05-27T12:07:21Z","title":"Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence","version":1},"cited_work":{"arxiv_id":"2405.17090","doi":"10.48550/arxiv.2405.17090","metadata_source":"pith","pith_arxiv_id":"2405.17090","snapshot_observed_at":"2026-08-13T00:16:21.800782Z","title":"Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence","venue":"math.NA","work_id":"4996cc06-e452-4f90-b900-f0660bda1ca3","year":2024},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.500777Z"},"links":{"cited_paper":"/paper/2405.17090","citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:06681a2f73a5dead1fb227bfc7244a0511408f06336010c110441808f1f30bea","observation_id":"defdf42c-6d99-4311-b281-c92a621a13e9","resolution":{"observed_at":"2026-08-12T20:35:07.909359Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:35:09.054517Z","title":"Henning , The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem, Math","venue":null,"work_id":"fbc22456-2d09-4f27-9349-86abbca2ae2d","year":2023},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.506391Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:bed8e9495e33be6947cbfd67e314c52df1080e7bd4786370eabc0af25f7bde72","observation_id":"d019eb9a-756c-4ba6-a25b-8d2abe5806aa","resolution":{"observed_at":"2026-08-12T20:35:09.059773Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:35:09.037717Z","title":"Henning and E","venue":null,"work_id":"7b9e82af-1e45-4876-a243-9dcfba1a45a1","year":2025},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.511551Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:bdacb56121d5a9b16a196f06898f1f94328b65fb80d6fdd86ae375aabb486fe6","observation_id":"3fb54a5e-a074-4694-aa28-2471079be049","resolution":{"observed_at":"2026-08-12T20:35:09.042859Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:35:09.017868Z","title":"Henning, A","venue":null,"work_id":"f64e0d1b-f700-418b-9e1f-8c733f4a5f3d","year":2014},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.516776Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:f8d566496785c486df973e35db7b4a067fa7d77b28bbdcdd96943fbac880914a","observation_id":"4ccc5932-d52b-44ee-8df1-a069b6868ace","resolution":{"observed_at":"2026-08-12T20:35:09.023711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.522378Z","title":"Henning and D","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.522378Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:6c9ab3c828226a47361bf1099e03815792cfe9b53e58f2be37199c859ccc9007","observation_id":"012416d2-4611-4f4a-9ea9-ee3b58fddf59","resolution":{"observed_at":"2026-08-12T20:35:07.522378Z","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":"2026-08-12T20:35:07.528296Z","title":"Henning and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.528296Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:ff47a274cba8b0377e0bc783f41be57e43ebc20fab4b5eaddaffa9df25398934","observation_id":"974c8532-1ae0-412e-9b9c-aafbab41959f","resolution":{"observed_at":"2026-08-12T20:35:07.528296Z","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":"10.1137/23m1580346","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.865569Z","title":"Huang and Q","venue":null,"work_id":"a9afa012-49e2-4a74-bb54-993b3f648510","year":2024},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.535085Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:61459192f761a75771f98c5bee283ae62b77b9b7242c0e1e62a1190929f509ab","observation_id":"9a7ab4e1-85cb-4ee9-b295-d46cc87f9301","resolution":{"observed_at":"2026-08-12T20:35:07.871042Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:35:09.000271Z","title":"Jarlebring, S","venue":null,"work_id":"30bae504-1876-44ec-b99f-e006836af5da","year":2014},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.541039Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:e046e9cfbc4ff1dc9f068bc3a5d9cb8b7a88126b89340e2d7f756a19c1575167","observation_id":"b696485a-a718-4b74-95f3-76ea28d8f776","resolution":{"observed_at":"2026-08-12T20:35:09.005440Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:35:08.980973Z","title":"Kazemi and M","venue":null,"work_id":"a031cc42-3a97-42eb-9a1c-4073ddebc148","year":2010},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.547404Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:9279e357fd85f8e61a9b36a3396abaebc5f0c9760dd0b59c04b9598dac14a797","observation_id":"4f54dafd-d580-4fc3-87c1-c9e1df229964","resolution":{"observed_at":"2026-08-12T20:35:08.987092Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.553245Z","title":"Kressner, M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.553245Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:850a6b04f95d61327e91c90c6552721b83570b918ba88ac947fe66aac4b49f85","observation_id":"f5bf1298-18eb-4d8c-9f9e-af13cdfc122f","resolution":{"observed_at":"2026-08-12T20:35:07.553245Z","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":"2026-08-12T20:35:07.558402Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.558402Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:1ab7cc4fef61603d247e586bdbd173fe1e1fa62c58e73e3725011f6857c0e718","observation_id":"bddb02fd-367a-4a94-80ba-1de8c15bd701","resolution":{"observed_at":"2026-08-12T20:35:07.558402Z","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":"2026-08-12T20:35:07.563934Z","title":"Lin and J","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.563934Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:228ab1f57d1d1e82ef07846bddc1956ffd5b9b5ec880ed47e2e02040b6ebb7ae","observation_id":"0630e993-d895-43ca-b5a2-bca1f27ec85d","resolution":{"observed_at":"2026-08-12T20:35:07.563934Z","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":"2026-08-12T20:35:07.569845Z","title":"Mishra and R","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.569845Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:da6019fd0d9245e47bcf4d1e8ad37c930c10b73bfb0e1c2db113a97b8c5fb684","observation_id":"a46318e3-69c7-44d4-8fc8-d62ed6b17c50","resolution":{"observed_at":"2026-08-12T20:35:07.569845Z","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":"2026-08-12T20:35:08.960186Z","title":"Nguyen , Operator-valued formulas for Riemannian gradient and Hessian and families of tractable metrics in Riemannian optimization , J","venue":null,"work_id":"c5ef19c8-d4d6-4f61-9f40-3bc69f9a7dd3","year":2023},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.575178Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:161c0f15b85264565a3d9ec34bcb51c79a5cad18e8d68ed632a9dfb1d1308fe1","observation_id":"ad8a1151-6160-4fd2-986f-70fe74bf88df","resolution":{"observed_at":"2026-08-12T20:35:08.966294Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.581801Z","title":"Payne, M","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.581801Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:c5bf747c139008f36eff8b41e79a3483f0473ad60c8b699ef127fd2f7bdb4254","observation_id":"8d83c0d4-3118-4724-aaa2-7b2817d34d7b","resolution":{"observed_at":"2026-08-12T20:35:07.581801Z","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":"2026-08-12T20:35:08.940811Z","title":"Schneider, T","venue":null,"work_id":"75bab009-eefd-45b8-b8f3-2709ffe25244","year":2009},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.587685Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:3d7ceaf9cee9c9aa55e69f9b90c226fc87195a5f684afc60ee9192d124cee94d","observation_id":"5cace3a0-26ce-41f1-9a79-af3ff2370ac0","resolution":{"observed_at":"2026-08-12T20:35:08.946456Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2012.22180","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.746735Z","title":null,"venue":null,"work_id":"8e171b0e-9170-4268-ab00-2312cba73f41","year":2012},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.592741Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:464581bc84726c3f96274b2b2ceabefba45676b62df5cf15529d91f64c4703dc","observation_id":"63dd0664-fd0c-4835-9f69-70e61e290308","resolution":{"observed_at":"2026-08-12T20:35:08.755376Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2022.11495","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:08.665095Z","title":"Shustin and H","venue":null,"work_id":"c58dcc08-030f-4b7e-adae-fce576a74127","year":2023},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.598422Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:c9a3abd09398ed9563b2221d9e5041cadf87b3aff063de34f2346f88c0a7b376","observation_id":"de02e24b-cf5e-46c8-88d0-2850975ee964","resolution":{"observed_at":"2026-08-12T20:35:08.675261Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/19m1271117","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.787109Z","title":null,"venue":null,"work_id":"d340a3d1-b011-4124-805c-fdd1d90f9408","year":2020},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.603616Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:0d78cb8adb4e769b3b60d7d255232cd1329ef82bfc604062118286c3b3eb293e","observation_id":"f94cfae2-39c3-454a-9892-4242102bf8df","resolution":{"observed_at":"2026-08-12T20:35:07.792381Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0953-4075/33/19/314","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.769683Z","title":"Trippenbach, K","venue":null,"work_id":"0870ce8d-fbe9-4b6f-a394-2748f005d05c","year":2000},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.610490Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:5f285e1948f982f57efe99d5e236be846c5f41ea1429dc5d456a3e5906736605","observation_id":"0ab2fb49-c03b-41df-99ee-33e1b64e6587","resolution":{"observed_at":"2026-08-12T20:35:07.774738Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.618542Z","title":"Wen and W","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.618542Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:8c26a64570d093f7452b58f2ad58d6ebe2fce19d4a1f80f5356065bb6ae7facd","observation_id":"ed2a5339-29e3-47c0-a088-cd316d000480","resolution":{"observed_at":"2026-08-12T20:35:07.618542Z","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":"10.1007/s10915-017-0412-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-19T11:03:45.297681Z","title":null,"venue":"Journal of Scientific Computing","work_id":"020238ff-7a3e-4c69-a1b1-227f72e40045","year":2017},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.624457Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:469da0802e7934de3a535e79f4baa67eb1d7c805ca53efc64e739e3880b2fda2","observation_id":"bf1bfb22-c71c-4a8c-8ae9-4d17b477846f","resolution":{"observed_at":"2026-08-12T20:35:07.745772Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-1-4612-4566-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-13T11:03:48.094449Z","title":"Zeidler , Nonlinear Functional Analysis and its Applications IV: Applications to Mathematical Physics , Springer, New York, 1988, https://doi.org/10.1007/978-1-4612-4566-7","venue":null,"work_id":"0a028f27-bf1f-415e-ba16-e883dd60dbc2","year":1988},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.630091Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:b651f97adcaba3bd264defdfea249173f9a7b060eccdfd1d52d251941e165e5f","observation_id":"2ee3260d-8242-41d6-b3c8-be56352172cc","resolution":{"observed_at":"2026-08-12T20:35:07.723188Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.635507Z","title":"Zhang and W","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.635507Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:cfefceb683ca08b846fe2ef421e26b99e165080fd266b92ba1f53cd05933af51","observation_id":"212e5d8a-9fc6-4262-a6d9-5f4e04b1494b","resolution":{"observed_at":"2026-08-12T20:35:07.635507Z","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":"10.1137/140967994","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:35:07.684412Z","title":"Zhao, Z.-J","venue":null,"work_id":"0120ed6f-3d5c-4c8d-a77a-3df22833efc6","year":2015},"citing_paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-12T20:35:07.642925Z"},"links":{"citing_paper":"/paper/2411.09617"},"observation_digest":"sha256:072075e6e61135ba310f9b107bfc09abd1527342ae4b8701d62f849306b8b851","observation_id":"93ef0f61-45ba-466a-a117-59effdcac411","resolution":{"observed_at":"2026-08-12T20:35:07.691249Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.09617","last_updated":"2025-04-16T12:51:02Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-21T14:20:44.262181Z","submitted_at":"2024-11-14T17:37:10Z","title":"Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates"},"reference_resolution":{"displayed":62,"state_counts":{"malformed_identifier":8,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":21,"verified_exact":26,"verified_fuzzy":5},"total_outbound_references":62},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2411.09617."}