{"as_of":"2026-08-18T06:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5300b2d00b993396ce2f66ef4d720032f726a5457ff8f854586cb8530c1e6bb8","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:59:14.345839Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2506.18265/citation-record","integrity":"/paper/2506.18265/integrity","json":"/paper/2506.18265/citation-record.json","paper":"/paper/2506.18265"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:59:14.959889Z","title":"Conic optimization: a survey with special focus on copositive optimization and binary quadratic problems","venue":null,"work_id":"d7d589a0-b312-433f-9582-19c834dff928","year":2021},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.174334Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:46a3a272d1394380123f9dd9118285cca79d99a840eb223c21bbb2b87b01154f","observation_id":"af61a2e8-6e10-456a-bd42-7a43191356e5","resolution":{"observed_at":"2026-08-15T18:59:14.965326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.943403Z","title":"Quadratic optimization problems","venue":null,"work_id":"07d277dc-4f38-4f75-ad05-984bbd95292f","year":1987},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.180301Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:6b3a8524b859fab1b7310cc70240fd937903906e3aa24b3472e094efc4b2c266","observation_id":"8f6bd7a6-d73c-490a-8ad8-8c8a65addb8d","resolution":{"observed_at":"2026-08-15T18:59:14.949327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.926478Z","title":"A framework for solving mixed-integer semidefinite programs","venue":null,"work_id":"c2d6b539-e176-4d90-a4aa-fc8b9694779a","year":2018},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.186675Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:b475aa84bdcda01c1d310534978e33c1b810a8298c42787c701e6c698666a6df","observation_id":"4d6422b1-24f8-47d9-8b59-f825a05690dd","resolution":{"observed_at":"2026-08-15T18:59:14.932790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.909168Z","title":"Exact and approximation algorithms for sparse principal component analysis","venue":null,"work_id":"12ea912b-c612-448b-ae21-c9560a6212c6","year":2024},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.192333Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:a941b98f01167d933a493105b297df5df2c3be09964e7de770d848c5ad7f15b3","observation_id":"9e6953d9-9ff5-4f19-b035-6b16f1d26116","resolution":{"observed_at":"2026-08-15T18:59:14.914894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.890811Z","title":"Approximating k-means-type clustering via semidefinite programming","venue":null,"work_id":"1dfd0c28-25b5-456f-8ba3-98845f32055c","year":2007},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.202439Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:fd917dfbabd371aed3308a52a54cf0558b0f1f7f57cd08aad0a2d8170f43a6ca","observation_id":"04810234-3895-41a8-a294-3b5cd6c2ebcd","resolution":{"observed_at":"2026-08-15T18:59:14.896874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.873121Z","title":"Sos-sdp: an exact solver for minimum sum-of-squares clustering","venue":null,"work_id":"28179ffe-349f-402d-a7e0-994b69279831","year":2022},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.208270Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:fbd977c069d3855ad9bd7b0d938957c3d0256a1f5ff5795c62c7b5baf3d63f49","observation_id":"d3e427bb-3a2c-4dc8-8188-d42e2f28c30a","resolution":{"observed_at":"2026-08-15T18:59:14.878300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.856226Z","title":"Computing restricted isometry constants via mixed-integer semidefinite programming","venue":null,"work_id":"fc259e56-f359-4d8b-bd54-ec67fbc75fb5","year":2016},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.214528Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:9b876a8b788c62b6c3bb5547e2628b628ac675a0fb537a609d10f9dbb4177104","observation_id":"8fb6e8d7-3f98-4b9a-b4e9-53a21c78e287","resolution":{"observed_at":"2026-08-15T18:59:14.861604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09865","last_updated":"2023-11-08T15:07:50Z","snapshot_observed_at":"2026-08-16T15:23:19.717876Z","submitted_at":"2023-06-16T14:27:29Z","title":"On Integrality in Semidefinite Programming for Discrete Optimization","version":2},"cited_work":{"arxiv_id":"2306.09865","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.09865","snapshot_observed_at":"2026-08-15T18:59:14.444141Z","title":"On Integrality in Semidefinite Programming for Discrete Optimization","venue":"math.OC","work_id":"06ea9f56-a620-40bf-a244-ce09930d8d8b","year":2023},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.219616Z"},"links":{"cited_paper":"/paper/2306.09865","citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:91666e74762cb6cbaad837e05e475d6077e622b995a8d8cdcf199e51cac91ff0","observation_id":"2649ceae-629e-4296-af51-7abd3759f67a","resolution":{"observed_at":"2026-08-15T18:59:14.450237Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.838711Z","title":"The max-cut problem and quadratic 0--1 optimization; polyhedral aspects, relaxations and bounds","venue":null,"work_id":"6ae1b06e-d7e8-47f3-bfee-343f29249bb7","year":1991},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.231791Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:6a644d7fcffc732386bbdfebc325bd1365d6b94aa0b8d85451a28e7545becfe1","observation_id":"0eea52d3-0e2c-44b1-a5b3-4d22b9723c0c","resolution":{"observed_at":"2026-08-15T18:59:14.844131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.815586Z","title":"Community detection in graphs","venue":null,"work_id":"5f1a3e40-7bee-469c-b6e5-1873aff07187","year":2010},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.236821Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:fdae578ef594f99109bc0e4c0af39ca434721a3542bdbf52cf3dc7fca1be460f","observation_id":"289c43f4-2157-45d8-a4e9-e2b407aafa9d","resolution":{"observed_at":"2026-08-15T18:59:14.821973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.07870","last_updated":"2017-05-16T18:59:21Z","snapshot_observed_at":"2026-08-16T12:35:45.654340Z","submitted_at":"2017-03-22T21:57:35Z","title":"General Heuristics for Nonconvex Quadratically Constrained Quadratic Programming","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.07870","snapshot_observed_at":"2026-08-15T18:59:14.242347Z","title":"General heuristics for nonconvex quadratically constrained quadratic programming","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.242347Z"},"links":{"cited_paper":"/paper/1703.07870","citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:a1c0b14fef3b55d48ee16c8bcae02ec0648ca91c8f576f8c5cd5106ce002acfe","observation_id":"504e0d0a-a5bc-4bac-9668-34cc3a453d5f","resolution":{"observed_at":"2026-08-15T18:59:14.242347Z","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":"2026-08-15T18:59:14.794491Z","title":"Retrospective on optimization","venue":null,"work_id":"23685db0-5f09-4ca9-abff-16380d18d4ce","year":2004},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.247822Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:707d3a48e54323792b57b721ce49adcca42c8d9db376e9f6b597bd94d5836702","observation_id":"17652b2d-7584-43d9-9e11-a8428c3ff1f1","resolution":{"observed_at":"2026-08-15T18:59:14.801767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.771993Z","title":"On the equivalence of quadratic optimization problems commonly used in portfolio theory","venue":null,"work_id":"1156e576-a663-442c-87d9-09767b325a3a","year":2013},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.253286Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:2465c2c197041dc14aefb098a103e89a2b455619f9ed68323f37dd7806fb4606","observation_id":"45b15d00-9769-4e85-a03d-7af0c85bf738","resolution":{"observed_at":"2026-08-15T18:59:14.779147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.749667Z","title":"A branch-and-cut approach to portfolio selection with marginal risk control in a linear conic programming framework","venue":null,"work_id":"ff82431b-5edf-4aae-8ce8-e0812ea83a41","year":2013},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.258080Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:fa77bfbdb1d78f21ea69e54922bd9ac4100fd754cde1bad2e9598a5b6955dd10","observation_id":"b0da0eef-daa1-4b30-894a-36b7715dd427","resolution":{"observed_at":"2026-08-15T18:59:14.758651Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.730419Z","title":"Quadratic and higher-order unconstrained binary optimization of railway rescheduling for quantum computing","venue":null,"work_id":"8e77463d-09db-4abc-b19c-5bf0349b23ca","year":2022},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.262612Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:dfe9a1349c9b0629abacfdf40f58ecc92b2cf24df4ce8794fac84d8bdf1b5b7a","observation_id":"f845a049-170f-4a05-8c7f-9638b771e364","resolution":{"observed_at":"2026-08-15T18:59:14.736106Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.08989","last_updated":"2025-06-17T14:45:47Z","snapshot_observed_at":"2026-08-16T14:26:53.883850Z","submitted_at":"2024-01-17T05:47:42Z","title":"Five Starter Problems: Solving Quadratic Unconstrained Binary Optimization Models on Quantum Computers","version":3},"cited_work":{"arxiv_id":"2401.08989","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.08989","snapshot_observed_at":"2026-08-15T18:59:14.389831Z","title":"Five Starter Problems: Solving Quadratic Unconstrained Binary Optimization Models on Quantum Computers","venue":"quant-ph","work_id":"97bb9c2a-0379-4451-883f-63e273bc0fad","year":2024},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.267571Z"},"links":{"cited_paper":"/paper/2401.08989","citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:834e04bf7d4259c56fa950eeb5916328da134624e026429aa9ccdb9b1c148ef9","observation_id":"8daf3a45-2f7a-4a14-a329-670b7b9b45ce","resolution":{"observed_at":"2026-08-15T18:59:14.397642Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.710747Z","title":"A copositive framework for analysis of hybrid Ising-classical algorithms","venue":null,"work_id":"9051f7b0-352d-4e3f-ad06-1c5e1134e624","year":2024},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.273159Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:5c2513bf2bd24a8747f9a62fe6a74f6f253aa21ea70ce36980d2088f5b43b922","observation_id":"8906b846-c3a4-46cb-b78c-06e2ac21b661","resolution":{"observed_at":"2026-08-15T18:59:14.717523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.689549Z","title":"Polyhedral approximation in mixed-integer convex optimization","venue":null,"work_id":"2464279f-8345-436d-a6fc-1351f61d08e9","year":2018},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.277920Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:84f1e02b3ec606777d44f191d369af8ba2d0ffdb9a2beeb305ad065ae17455db","observation_id":"271e1c06-ff5b-4b23-a699-22bfb3fb6ffe","resolution":{"observed_at":"2026-08-15T18:59:14.697084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.283329Z","title":"Matrix Analysis","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.283329Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:f43e981b9b3fa1ae83b74175ecc3a07101f8d95411acc8343797cacf4d7e5b07","observation_id":"6c64db62-53f6-41e4-8270-f3161457ff8f","resolution":{"observed_at":"2026-08-15T18:59:14.283329Z","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":"2026-08-15T18:59:14.650829Z","title":"Instance-specific linear relaxations of semidefinite optimization problems","venue":null,"work_id":"ca30a183-27b4-42b7-9e18-f8390b515fd4","year":2025},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.288755Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:5cacdf6b8c7d990588a3e00178a2b9bbcac3d345200f88936b370eaeaeba2c11","observation_id":"cc96ef07-4f4c-4907-9fab-3e4de56c70e0","resolution":{"observed_at":"2026-08-15T18:59:14.656427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.629640Z","title":"Outer approximation with conic certificates for mixed-integer convex problems","venue":null,"work_id":"769d849c-91e6-4d6b-809b-84efe41952f5","year":2020},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.296136Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:8bb5620ea2a852ace8a468c0b042e1b42a81944ce8ffbce2e917209934d1ab13","observation_id":"c44d575a-e7b1-49c9-807c-b673a819f29d","resolution":{"observed_at":"2026-08-15T18:59:14.636246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.609779Z","title":"On polyhedral and second-order cone decompositions of semidefinite optimization problems","venue":null,"work_id":"aaf0353a-a0a4-4bca-9b35-a0f2b1294ab4","year":2020},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.301996Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:d55a531eff8b9f72c2699a0047357a28b27611c0167cc96ddce73e1b85b531f8","observation_id":"58ce87e8-39c6-420f-a50d-cdacd909a098","resolution":{"observed_at":"2026-08-15T18:59:14.615496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.592251Z","title":"Polyhedral approximations of the semidefinite cone and their application","venue":null,"work_id":"f739c1b3-c8a6-436d-b694-2fe8b77a57f3","year":2021},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.307194Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:a737c7c3f91237e205eb10e20e21c76c4f32e8999098b7af9e37c0389ce25c82","observation_id":"85373037-8626-4ff1-93e6-2b5ec6f0b66b","resolution":{"observed_at":"2026-08-15T18:59:14.598256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.572828Z","title":"Second order cone programming relaxation of a positive semidefinite constraint","venue":null,"work_id":"abb056fc-f13a-45da-97f2-a5e0d43e3cb6","year":2003},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.312384Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:5f21436779ff8868217301ab3383b28cae9f50c652b274ebdb31f7eabf4e0f38","observation_id":"33fa4d0c-0a98-4448-b1a2-4bceb2e8346c","resolution":{"observed_at":"2026-08-15T18:59:14.578752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.553757Z","title":"A branch-and-cut algorithm for solving mixed-integer semidefinite optimization problems","venue":null,"work_id":"53a8328e-46d7-4071-8f00-5e32929446e7","year":2020},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.318441Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:8e547c99972cd6fdfccd066a559d62f12da70d0e3b6eb0ff59b6529fa5d25a4b","observation_id":"5b008aa0-ef2c-4e7c-b0bf-352a6284e9ff","resolution":{"observed_at":"2026-08-15T18:59:14.559116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.534077Z","title":"The quadratic knapsack problem—a survey","venue":null,"work_id":"8568077c-5986-4ad2-8287-bdbe8717fea4","year":2007},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.323884Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:ca89a789c410b24f39e1c8e9f2b9999593ef939a631aa64c8657050b1506b950","observation_id":"b85ceb7f-c5ca-4ff0-a181-35d8b9645b6f","resolution":{"observed_at":"2026-08-15T18:59:14.540443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.516313Z","title":"The MOSEK optimization toolbox for MATLAB manual","venue":null,"work_id":"24b6f72a-d007-4e87-b3ca-73c5d1c229a7","year":2022},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.329116Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:8e2b235d93af129d2e499eee225579f18db16b5ffde21d94e1d0b90a7c62ad92","observation_id":"70897921-1fdc-4264-8a52-c886e7555417","resolution":{"observed_at":"2026-08-15T18:59:14.522526Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.499211Z","title":"Gurobi optimizer reference manual , 2020","venue":null,"work_id":"fffeaaec-fc79-428c-9873-605e6fc5891b","year":2020},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.334744Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:f37425abeeafaab0e9c3ef75f517210ea9825c5ab88289229bf60bb7b3af66ee","observation_id":"f12482ed-aab5-46a1-a322-b9d933385f01","resolution":{"observed_at":"2026-08-15T18:59:14.504907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.480192Z","title":"An adaptive linear approximation algorithm for copositive programs","venue":null,"work_id":"895ecf98-22b4-4b5b-8641-3e8b72f5a591","year":2009},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.340896Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:e8b1e43b3a6c338d5d8ae970e6f4d92aac42c49f39381d606158eafd142654e9","observation_id":"c0c3f8d6-786a-4c63-b5d1-e03ac560c92a","resolution":{"observed_at":"2026-08-15T18:59:14.486054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:59:14.462526Z","title":"Inner approximating the completely positive cone via the cone of scaled diagonally dominant matrices","venue":null,"work_id":"1e1f6be0-261f-4c3e-9270-554875423f77","year":2020},"citing_paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:14.345839Z"},"links":{"citing_paper":"/paper/2506.18265"},"observation_digest":"sha256:509ef5fc3b07d5a2c54438826d9fcfc11f3c5ee2e4c9334b1a172eb20e1dd9e7","observation_id":"1d7fdaf7-7397-4984-b2b0-aeac11697fe9","resolution":{"observed_at":"2026-08-15T18:59:14.467810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.18265","last_updated":"2025-06-23T03:42:54Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-15T18:50:33.380406Z","submitted_at":"2025-06-23T03:42:54Z","title":"Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":25},"total_outbound_references":30},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.18265."}