{"as_of":"2026-08-12T03:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:38787107aa24061c3c58ae359a236dfe3ce2ee531a17af3bc304c32e1d92e012","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T14:19:29.951781Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2412.12413/citation-record","integrity":"/paper/2412.12413/integrity","json":"/paper/2412.12413/citation-record.json","paper":"/paper/2412.12413"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T14:19:30.714549Z","title":"Absil, Robert Mahony, and Rodolphe Sepulchre","venue":null,"work_id":"d762aabc-8a67-4587-b8c1-161ad5747442","year":2008},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.766580Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:48dabdb50c1d48211933e4ade9658d0beadf6a145b617f0172aab187f701120a","observation_id":"b42dee89-7392-4bc7-a4a2-80a1e9f99738","resolution":{"observed_at":"2026-08-11T14:19:30.720660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.696327Z","title":null,"venue":null,"work_id":"5a9e0811-b7ee-4f62-beb9-849b3669185a","year":2016},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.771863Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:5fe5e9619cdd0d9978786e8982bb698b4141d33113ee3b18bacee4d3085bfa2a","observation_id":"6f458227-ddba-4c9e-bf83-3769ee33f881","resolution":{"observed_at":"2026-08-11T14:19:30.702203Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.679955Z","title":"Quadratic forms on graphs","venue":null,"work_id":"ef22515d-5d64-47f4-b61c-e87dcc788a38","year":2006},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.776457Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:2bbd486755b7534f7864913926278d4467ae83196f509ef669a195a257de0f26","observation_id":"62d4974b-ac89-48f0-8068-c26a7b021238","resolution":{"observed_at":"2026-08-11T14:19:30.684877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.663425Z","title":"On the non-symmetric semidefinite procrustes problem","venue":null,"work_id":"9839bd3a-c01c-46a8-ade6-26a2ded07cce","year":2022},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.781741Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:372cda80d4e2a4c6187436676cfe651d3fd678243d887c7f65591197f841a240","observation_id":"e6e16988-ee08-44b5-81c6-dc3a948c6967","resolution":{"observed_at":"2026-08-11T14:19:30.668055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.646591Z","title":"Approximating the little grothendieck problem over the orthogonal and unitary groups","venue":null,"work_id":"43c062a1-8f23-4492-94d8-a9dd49ac4592","year":2016},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.786402Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:4fcf9efc375b587570535570b1f015e32e893138f8d5b563c13b599cde3633d1","observation_id":"165c4553-c13e-4984-939c-453467023685","resolution":{"observed_at":"2026-08-11T14:19:30.652025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.630741Z","title":"Procrustes problems in riemannian manifolds of positive definite matrices","venue":null,"work_id":"809b9043-3c77-4206-8c5f-43fad6bcb2cf","year":2019},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.791032Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:379c767f91205c6647d5a80d9e9c8775705176b6a8b426991b0ec64a486575d5","observation_id":"137fcfe3-7715-4322-9aef-4beba1f3e4ef","resolution":{"observed_at":"2026-08-11T14:19:30.635444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.611540Z","title":"Optimal quantum tomography","venue":null,"work_id":"5fa173a4-0221-4d17-93e3-d820fbf752e4","year":2009},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.796451Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:340e542c4fee5d9833629dd5f9cdca3d9df97784099f37ef195d26293d518116","observation_id":"029fc4a5-bda1-4803-b924-b1cf645df63d","resolution":{"observed_at":"2026-08-11T14:19:30.617049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.593556Z","title":"The Grothendieck inequality revisited, volume 232","venue":null,"work_id":"707afd2a-da8b-4363-8d9f-808e308cc3af","year":2014},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.801939Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:743dc6a078bf73a6e5d02d269242c18c2f18edf4cc674da218e0f3ce69e03792","observation_id":"3193104d-aff1-40ee-a88b-290e6cbc12f6","resolution":{"observed_at":"2026-08-11T14:19:30.598946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.576589Z","title":"Briegel, David E","venue":null,"work_id":"fe36c1e3-a6ce-466f-888a-a533eabd5844","year":2009},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.807166Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:3184c9a5e98de6b2b28ce694a38f9270918fe3964e18dc2a89c50022a766d152","observation_id":"28b01b72-2e8e-4ec1-8efa-36a43ffa30ac","resolution":{"observed_at":"2026-08-11T14:19:30.582036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.559031Z","title":"Grothendieck inequalities for semidefinite programs with rank constraint","venue":null,"work_id":"e04b37b6-b854-46c9-9c5f-3044390be86a","year":2014},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.812135Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:9ca11fad2f09d221b343b2cbdaa0f7a72c0a398aa173babf121ec8d9f4bb8b17","observation_id":"2de373e1-0f22-443c-b5b6-8ac54dcc826e","resolution":{"observed_at":"2026-08-11T14:19:30.564153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:29.817399Z","title":"Quantum state discrimination","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.817399Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:18460b622a09644ce6ed9581afb282ae6231a21ff5a7ad71a949b0b4ecafaa33","observation_id":"b5bece65-bda5-439e-995c-c96ea9633a26","resolution":{"observed_at":"2026-08-11T14:19:29.817399Z","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":"2026-08-11T14:19:30.531713Z","title":"Cirel’son","venue":null,"work_id":"fbff3186-4d89-4123-a61e-ce8067b017f8","year":1980},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.822315Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:9e2f3b987450127306ce052695aab2d605ff4b0b79713b0a303906c8d1ac83dc","observation_id":"c70bf002-308a-48fa-a493-f54b54e7cff7","resolution":{"observed_at":"2026-08-11T14:19:30.536275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.14126","last_updated":"2022-01-11T14:44:16Z","snapshot_observed_at":"2026-07-06T10:53:31.294442Z","submitted_at":"2021-03-25T20:32:34Z","title":"Orthogonalization of Positive Operator Valued Measures","version":2},"cited_work":{"arxiv_id":"2103.14126","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.14126","snapshot_observed_at":"2026-08-11T14:19:30.125015Z","title":"Orthogonalization of Positive Operator Valued Measures","venue":"math.OA","work_id":"695215e0-99dd-4e49-a0ae-0c8d1f114fc2","year":2021},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.826651Z"},"links":{"cited_paper":"/paper/2103.14126","citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:761eb5feaf48ee40727653483eaa22066e985acad929053fc7594fd67b8f9c3a","observation_id":"9d9bee3e-4ed7-4e51-9887-50d2dd479777","resolution":{"observed_at":"2026-08-11T14:19:30.131737Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.14961","last_updated":"2023-04-28T16:29:26Z","snapshot_observed_at":"2026-07-06T15:21:15.939061Z","submitted_at":"2023-04-28T16:29:26Z","title":"Solving constrained Procrustes problems: a conic optimization approach","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.14961","snapshot_observed_at":"2026-08-11T14:19:29.831654Z","title":"Solving constrained procrustes problems: a conic opti- mization approach","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.831654Z"},"links":{"cited_paper":"/paper/2304.14961","citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:2e43082f422880aeb69260416cf2b65e70ced46d993ac41d9ff34cd13a742192","observation_id":"1b28ebe2-b833-4da2-a6a8-a31e34c0035d","resolution":{"observed_at":"2026-08-11T14:19:29.831654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.08847","last_updated":"2018-11-21T17:50:03Z","snapshot_observed_at":"2026-07-06T07:16:17.828298Z","submitted_at":"2018-11-21T17:50:03Z","title":"On the spectral gap of random quantum channels","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.08847","snapshot_observed_at":"2026-08-11T14:19:29.836739Z","title":"Gonz´ alez-Guill´ en, Marius Junge, and Ion Nechita","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.836739Z"},"links":{"cited_paper":"/paper/1811.08847","citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:d9186b5a94e8c0cb42bd36dc534e6a5d6ad01a3b4ad7487ac5b3ef28407bd427","observation_id":"385161dd-7465-4a29-ad3c-cd33336a4dfd","resolution":{"observed_at":"2026-08-11T14:19:29.836739Z","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":"2026-08-11T14:19:30.514618Z","title":"Gower and Garmt B","venue":null,"work_id":"da412fc4-98e3-4dde-a1c0-55a90aba257f","year":2004},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.842219Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:4a957586222765e9e91158060519fb1f71c49494f1b8587d8923e65b32386770","observation_id":"db899648-d828-427d-b521-777636f3c42c","resolution":{"observed_at":"2026-08-11T14:19:30.520020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.495779Z","title":"Hastings","venue":null,"work_id":"387f1111-296d-4937-86a8-a0947ff761e1","year":2007},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.847105Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:38ed4b01cd9ef55d190a30d8f2cfd55cbfe1594b87008756b04756196e8047b9","observation_id":"77545800-e98d-442f-b13a-8fb52a7fbc07","resolution":{"observed_at":"2026-08-11T14:19:30.502713Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.478099Z","title":"Choice of measurement as the signal","venue":null,"work_id":"babaa532-acbf-4252-9ed4-2964a77ec43d","year":2013},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.851867Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:8b88ffdaf27082e675dd38b55b9d31ee6d5404a1e59b40dff44ffb3538287b40","observation_id":"5de6a56f-b740-4c8c-9f37-bfbbad63c7b6","resolution":{"observed_at":"2026-08-11T14:19:30.484206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.462150Z","title":"Constantes de grothendieck et fonctions de type positif sur les spheres","venue":null,"work_id":"6d9d374e-3036-4188-b8f3-e25db93f03c7","year":1978},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.857965Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:f148c15db5a42f03299366a14052ac3b90aec50805ecf72f99b8eecff356d7f3","observation_id":"1e6a7983-d55e-4a2a-ae98-37730dfa8e7e","resolution":{"observed_at":"2026-08-11T14:19:30.466634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2409.17971","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T14:19:30.058116Z","title":"Optimal quantum (tensor product) expanders from unitary designs","venue":null,"work_id":"478af4ba-bb29-4791-9db1-ab5c2796a23a","year":2024},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.863542Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:22bf18669f46daeecd40145dc00146cabe276284e91474da9bc4d9a498da4012","observation_id":"7ee049a9-ca38-46a0-81ac-937c19b4b217","resolution":{"observed_at":"2026-08-11T14:19:30.070428Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.443090Z","title":"Approximating quantum channels by completely positive maps with small kraus rank","venue":null,"work_id":"751e2482-49cc-4761-9863-45de20188e84","year":2024},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.868749Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:b1e8961d3f643597f6c16577f71b0903bbb24c58940bdf3c57f743f425f4b98b","observation_id":"c5a7e43b-0105-4541-9309-723d28f71141","resolution":{"observed_at":"2026-08-11T14:19:30.450605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.427566Z","title":"Limiting spectral distribution of random self-adjoint quantum channels","venue":null,"work_id":"20a8aff3-1fd9-4299-acf4-14c152772c55","year":2024},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.874482Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:04091dc590c5634973864a95e19566a60bdb6c20cac0992e5ae5c8875da26564","observation_id":"23056058-9703-4676-8aa9-2ff00461dae0","resolution":{"observed_at":"2026-08-11T14:19:30.432481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.410202Z","title":null,"venue":null,"work_id":"daef032a-9ca5-4caf-b960-6a05258e7d7e","year":1973},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.879686Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:544abe5a0bea4638d8cab668c01cab5ad678adb34190d5ce3550cc49c4adc2e5","observation_id":"08feebbe-55b9-42f8-b14b-f37f20f2641e","resolution":{"observed_at":"2026-08-11T14:19:30.415765Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.393348Z","title":"Choice of measurement as the secret","venue":null,"work_id":"24025157-5ab8-4715-a842-7c0a3d1b3d15","year":2014},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.884051Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:21178868136f872958b350eb44d2f0abed2f68fd511052b5f56dbc4b76be2d3d","observation_id":"834573d6-0461-4bb5-9491-d23edcca0bc7","resolution":{"observed_at":"2026-08-11T14:19:30.397870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.374065Z","title":"Maciejewski, and Zbigniew Pucha/suppress la","venue":null,"work_id":"79ef67af-52aa-44e5-af11-55df1d0304a2","year":2019},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.888316Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:22dac8bc53822714a424fe4bbdf5c7037695b949304ef1aa1a1652c90172e08e","observation_id":"3e11087f-90ca-42ff-977d-0210a5faa4c2","resolution":{"observed_at":"2026-08-11T14:19:30.380311Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.353597Z","title":"Quantum control by von neumann measurements","venue":null,"work_id":"2b13e6c3-7630-4867-8f14-b90e42c5d860","year":2006},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.892602Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:0f13867324c11ea383b27b28406d5835ee7b85094033f0e18dc0ca71522cb656","observation_id":"2f5e9710-b847-4503-b580-5885765d8be5","resolution":{"observed_at":"2026-08-11T14:19:30.361309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.336817Z","title":"Control landscapes for two-level open quantum systems","venue":null,"work_id":"fcd1cc36-949e-4664-b623-f1b0c711134d","year":2008},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.896820Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:ad5c604ff3f96390ca3682183fe958ba68f128568c28115f944cb4a003ed1a7d","observation_id":"38092022-e561-4dd9-9df5-21a0da79c53f","resolution":{"observed_at":"2026-08-11T14:19:30.342407Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.319024Z","title":"Balls into bins","venue":null,"work_id":"364ebaf4-e946-4bcf-8cea-555f4149a6fb","year":1998},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.902185Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:1335b8672bd2d77c045c2cd816252ba67b80ef21f3394772ae0eaf468741657e","observation_id":"694445e2-75d4-402e-bc28-3db4c4621e45","resolution":{"observed_at":"2026-08-11T14:19:30.324093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.299494Z","title":"II: Fourier Analysis, Self-Adjointness , volume 2","venue":null,"work_id":"9d232806-43e7-4971-9e2c-837c2646f2b3","year":1975},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.906776Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:31bd0115898525695758b4e1ffe7ffd03df034ddabacdd2cdf9be404f2a2dbf5","observation_id":"2b8ef13a-a770-438e-a27e-afef4bcb7f24","resolution":{"observed_at":"2026-08-11T14:19:30.305216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.276929Z","title":"Sch¨ onemann","venue":null,"work_id":"b432c6b6-933b-4a78-a48f-bd3b901b07f5","year":1966},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.911219Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:f64ced74e413c96db70348828d118a0f9a5b9e6d984bc07d99b1dcf247cdbe97","observation_id":"2ba96fba-8369-4376-bf2f-2a200ef67b58","resolution":{"observed_at":"2026-08-11T14:19:30.282719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.260643Z","title":null,"venue":null,"work_id":"cdc8cfea-211f-49c1-a7a8-ece58b968272","year":2011},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.916008Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:76b536307e55b88228fe9e28c3cd951a0d80543217532298c02f718edecf1a1a","observation_id":"96a7ab81-f2d5-407e-b9f2-1fd7b8e8b087","resolution":{"observed_at":"2026-08-11T14:19:30.266025Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.243254Z","title":"Multivariate trace inequalities","venue":null,"work_id":"2406e03b-b636-41a0-b907-fd581013b561","year":2017},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.921670Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:96a1939da5067800b38cdf8eb843140a868aa18e76dc72546c1e5a609cdc9fe2","observation_id":"fdfce90f-54ed-4ca3-a804-d8bb515ef73b","resolution":{"observed_at":"2026-08-11T14:19:30.249488Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:29.926151Z","title":"Topics in random matrix theory , volume 132","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.926151Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:77c4dd9896cd7e9668f85a39f2b368d160eec0525f1ac63cdb92308079ea3b30","observation_id":"ac146df4-1e4f-4dc4-93ce-82572ee49d9c","resolution":{"observed_at":"2026-08-11T14:19:29.926151Z","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":"2026-08-11T14:19:30.213714Z","title":"Tropp et al","venue":null,"work_id":"bedcbc99-160b-4d06-9c4d-450b91833519","year":2015},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.930424Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:f8a518932f7f6063da081dc5da2773ee1c4d3d80074f4f7c01d05ca356578ee3","observation_id":"a85b5fdf-caf3-42f4-bada-1f2cca8803b1","resolution":{"observed_at":"2026-08-11T14:19:30.218170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.198160Z","title":null,"venue":null,"work_id":"bca68e2d-b177-49f5-a7df-1ffdfa032977","year":2018},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.934859Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:fb3ab163c741dba76f7dcf179fa34113ef160dbcc461a279da8a7946f00eccae","observation_id":"f3f8aea4-67a9-4599-ab04-e92babda0068","resolution":{"observed_at":"2026-08-11T14:19:30.202614Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.181212Z","title":"Quantum state transformation by optimal projective measurements","venue":null,"work_id":"e67841a1-b63e-494d-a588-78f05530ae1f","year":2011},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.940464Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:573a9f947c7ed7c03c18e8d0f838e3bad5ce8f7d3d8930b3e67b729b7b6a6fa9","observation_id":"2a33b8b4-219e-42ae-a70e-74830a6d34a5","resolution":{"observed_at":"2026-08-11T14:19:30.186194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.164920Z","title":null,"venue":null,"work_id":"ff29c8e7-8001-4dc8-a3a0-fcbf1a0f0645","year":2018},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.945835Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:141b0fc7cdec1c2eba3dac6b9f53a1d3aef9a8f89af92c3e406fd17d30a0b25f","observation_id":"1a5dccf5-a061-4105-abd8-3b2097792af8","resolution":{"observed_at":"2026-08-11T14:19:30.169114Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T14:19:30.147896Z","title":"and each ℓ = (ℓ1,...,ℓ k)∈ L(k) will track the matrix indices in the expansion of EΘ [ Tr [k∏ j=1 Lπ ℓj(Θ) ]]","venue":null,"work_id":"8ccd3039-d5ce-47b4-b6be-3f5d7da3d920","year":null},"citing_paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:29.951781Z"},"links":{"citing_paper":"/paper/2412.12413"},"observation_digest":"sha256:f8c76f295d1ac6aa4fc684d9e28837fc7f26d14b8b26db3f372c211bb609b4a2","observation_id":"32fd336e-5f92-426f-b8c4-6fb33e34648f","resolution":{"observed_at":"2026-08-11T14:19:30.153510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.12413","last_updated":"2024-12-16T23:35:21Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-11T14:04:47.157277Z","submitted_at":"2024-12-16T23:35:21Z","title":"The suboptimality ratio of projective measurements restricted to low-rank subspaces"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":2,"verified_fuzzy":27},"total_outbound_references":38},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2412.12413."}