{"as_of":"2026-08-16T10:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:78aecd9275a379c0af1e46e5b1b7f6b73e2e5db452a96e8c6d5a17aad64447d0","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T05:43:02.543924Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/2603.28747/citation-record","integrity":"/paper/2603.28747/integrity","json":"/paper/2603.28747/citation-record.json","paper":"/paper/2603.28747"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.459476Z","title":"Pedregal,Introduction to optimization","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.459476Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:bb82b5995ceb2ad1267e2803f8a7e146947c085e53ea12e38704e3ae52e11442","observation_id":"0b80968f-ba05-4ba3-a8a3-1838898cbc0c","resolution":{"observed_at":"2026-08-04T05:43:02.459476Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.465531Z","title":"Absil, R","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.465531Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:c5838885d6396d335a6d285fed8c941d550fb741f403f0ce7f7b00c745a7214b","observation_id":"875d9335-466d-44cf-872b-554451f6097b","resolution":{"observed_at":"2026-08-04T05:43:02.465531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.07167","last_updated":"2021-04-14T23:54:55Z","snapshot_observed_at":"2026-08-06T20:02:41.487392Z","submitted_at":"2021-04-14T23:54:55Z","title":"Orthogonalizing Convolutional Layers with the Cayley Transform","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.07167","snapshot_observed_at":"2026-08-04T05:43:02.470531Z","title":"Orthogonalizing convolutional layers with the cayley transform,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.470531Z"},"links":{"cited_paper":"/paper/2104.07167","citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:2ccbcaafe6d05c129a22191f5326443511674772874752a56e8f53d130526f76","observation_id":"9a8ff395-9279-4546-b513-0a3d1dfaaa61","resolution":{"observed_at":"2026-08-04T05:43:02.470531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.475315Z","title":"A brief introduction to manifold optimization,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.475315Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:197423adad66a867cfba39cb03f9eafd3cccdf21ee9fd2aed450648aa31fe7e9","observation_id":"c116e0b6-4195-4b28-ac11-e4b1eb7470b0","resolution":{"observed_at":"2026-08-04T05:43:02.475315Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.479816Z","title":"Decentralized rie- mannian gradient descent on the stiefel manifold,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.479816Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:4ca9c498f269206407c0491ed096ed994ef085beae00183a17042f859dea545c","observation_id":"8f16750e-ef36-4863-b5a1-7a359eac3f19","resolution":{"observed_at":"2026-08-04T05:43:02.479816Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.484305Z","title":"Stochastic gradient descent on riemannian manifolds,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.484305Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:4ab870f2f4baa846afb98f5ea241a6c60a175823ae9c01e09c6ceb76548735b0","observation_id":"93c308a9-a804-4901-8ef3-bf6f1b0cf026","resolution":{"observed_at":"2026-08-04T05:43:02.484305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.489354Z","title":"A gradient- descent method for curve fitting on riemannian manifolds,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.489354Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:e6e1b2d5a7cbb9dccb2127166ff190153a4de9a1cbc374a7591afe1db1938193","observation_id":"db8563d6-9fde-493b-b666-14a8eb2ed9c1","resolution":{"observed_at":"2026-08-04T05:43:02.489354Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1407.5965","last_updated":"2014-07-22T18:29:37Z","snapshot_observed_at":"2026-08-14T23:25:48.054985Z","submitted_at":"2014-07-22T18:29:37Z","title":"Optimization Techniques on Riemannian Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1407.5965","snapshot_observed_at":"2026-08-04T05:43:02.493764Z","title":"Optimization techniques on riemannian manifolds,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.493764Z"},"links":{"cited_paper":"/paper/1407.5965","citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:b5e33ee05a518df7c010abbfb551a68a603a70e6ba5c6d3bdb9da9117c238731","observation_id":"1365d006-b821-4a75-9096-fb6d3dd3ce40","resolution":{"observed_at":"2026-08-04T05:43:02.493764Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.498519Z","title":"Riemannian interior point methods for constrained optimization on manifolds,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.498519Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:438b18c692fb214fdb818521a66c17a11854ec70f2910ada04b31eaf87f04a87","observation_id":"e31bdcda-6612-4254-99b8-4cb94093bdaa","resolution":{"observed_at":"2026-08-04T05:43:02.498519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.502867Z","title":"On the riemannian geometry defined by self- concordant barriers and interior-point methods,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.502867Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:c5d847a199730d28655e9a7fe413f61d5a918b14eb9d5245bcac271dda0a4da1","observation_id":"3e65c2d2-cace-401e-ae43-d80f568361e4","resolution":{"observed_at":"2026-08-04T05:43:02.502867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.507125Z","title":"Interior-point methods on manifolds: theory and applications,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.507125Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:02df6abb78eac52192781c5771aeac68e2ef21d1a93139343bad2f9b741fa2e5","observation_id":"71cf5c97-41b8-464b-b841-f74485945ac9","resolution":{"observed_at":"2026-08-04T05:43:02.507125Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2602.21450","last_updated":"2026-05-25T19:28:15Z","snapshot_observed_at":"2026-08-14T04:39:13.370924Z","submitted_at":"2026-02-25T00:06:08Z","title":"Vector Fields for Path Following on Lie Groups with Application in Robot Control","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2602.21450","snapshot_observed_at":"2026-08-04T05:43:02.511481Z","title":"Constructive vector fields for path following in fully-actuated systems on matrix lie groups,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.511481Z"},"links":{"cited_paper":"/paper/2602.21450","citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:c5b393e6519489235c468aea62f4b16950eed3a42a46b72c308575fe803e9dc7","observation_id":"05c0af28-bb19-4015-943e-559d16e9fb36","resolution":{"observed_at":"2026-08-04T05:43:02.511481Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.516242Z","title":"Manopt, a matlab toolbox for optimization on manifolds,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.516242Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:baf692cf0a2be248a652da0b98f6a937422f6a56d53b2ff78af2d669f357063e","observation_id":"2bdb106b-351d-43a3-93c6-13e75c6469f2","resolution":{"observed_at":"2026-08-04T05:43:02.516242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.520642Z","title":"Curvatures of left invariant metrics on lie groups,","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.520642Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:af4265a707f2544d21e5c8d91b650e1b288d5dbeb25033e720dc5a881b0e9e04","observation_id":"2cb49d28-eeb9-4ee9-a4e9-f09907b57599","resolution":{"observed_at":"2026-08-04T05:43:02.520642Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.525109Z","title":"Lie groups, lie algebras, and representations,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.525109Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:4ac90753071b9062a86afa59c51bc9e3c71700eaf080a3d8e749ee0ae1b3264b","observation_id":"7e023f94-c1ff-4a34-8885-ee880c6b59a4","resolution":{"observed_at":"2026-08-04T05:43:02.525109Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.530674Z","title":"On the for- mulation and theory of the newton interior-point method for nonlinear programming,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.530674Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:5e238ced82f993222f7b92f497bef460181fa09351960d7f80134a87978eda2b","observation_id":"8a3e0f52-834e-42d8-88f0-7f838b95dac4","resolution":{"observed_at":"2026-08-04T05:43:02.530674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.535241Z","title":"Interior point methods for nonlinear optimiza- tion,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.535241Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:39d190a4740720e11c1bf405999a9eba6f73aecdcb0019007c0a38c4d46a03a0","observation_id":"09e70a2a-5823-4a46-8438-201f221aeb6c","resolution":{"observed_at":"2026-08-04T05:43:02.535241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.539760Z","title":"An interior-point algorithm for nonconvex nonlinear programming,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.539760Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:347150a9c230daf4edce42010ab7317bcfa59e8cc646267028ad66f523465b81","observation_id":"52e9cfdf-ad04-407d-9c3a-81c6668c216d","resolution":{"observed_at":"2026-08-04T05:43:02.539760Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T05:43:02.543924Z","title":"The exponential map,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T05:43:02.543924Z"},"links":{"citing_paper":"/paper/2603.28747"},"observation_digest":"sha256:140f390a0960d0c6d312421b6b0630d9193a3b62ab2f592ac5ac5dc21c46f1dc","observation_id":"450aa2e8-6f12-49f1-8ec9-219b14d985d9","resolution":{"observed_at":"2026-08-04T05:43:02.543924Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2603.28747","last_updated":"2026-03-30T17:53:15Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-14T05:00:53.725952Z","submitted_at":"2026-03-30T17:53:15Z","title":"Constrained Optimization on Matrix Lie Groups via Interior-Point Method"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":19},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2603.28747."}