{"as_of":"2026-08-08T12:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bcdd97376aa04e4506da68a479b2e96c967ffc846af5debf66d0bff0be2cb8cc","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T12:53:55.562087Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2607.28264/citation-record","integrity":"/paper/2607.28264/integrity","json":"/paper/2607.28264/citation-record.json","paper":"/paper/2607.28264"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T12:53:55.446933Z","title":"Basel: Birkh¨ auser, 2005.doi: 10.1007/b137080","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.446933Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:375d25f0fe5a19f70c3adff34b78de7414452e44e01065e239df6198841648cb","observation_id":"fe7f5a7f-d4a1-4eb1-995c-a3df5b553021","resolution":{"observed_at":"2026-07-31T12:53:55.446933Z","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":"2026-07-31T12:53:55.451315Z","title":"Birkh¨ auser Boston, MA, 2008.doi:10.1007/978-0-8176-4848-0","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.451315Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:9ac082b8686d1f6c4452bb62af2a0882cc238c6ec17354faa12f9ae2c5510760","observation_id":"c09f8a10-4a3b-463e-909a-1527e4350cc8","resolution":{"observed_at":"2026-07-31T12:53:55.451315Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.46298/jnsao-2024-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T12:56:02.496981Z","title":"Second-order conditions for spatio- temporally sparse optimal control via second subderivatives","venue":null,"work_id":"ab4e55aa-01db-452f-b4cc-f199067fb14a","year":2024},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.454956Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:6d22e4bdf1acff32e0d94de429505b4b20193d5378206715789e00947a251de7","observation_id":"5f256a2b-ae58-4100-94bf-fa1b7c8124c7","resolution":{"observed_at":"2026-07-31T12:56:02.647005Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-31T12:53:55.458385Z","title":"Inverse problems in spaces of measures","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.458385Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:f113746f73f9bc99d2bccba7855d110a8d9c579598e1c060f13df33a3c35bfbc","observation_id":"89530f2f-1d6c-4791-b3a2-403693cead07","resolution":{"observed_at":"2026-07-31T12:53:55.458385Z","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":"2026-07-31T12:53:55.462625Z","title":"Universitext","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.462625Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:12c46f88fbeaa367e1cc1ca1c9754945fe63148a9cc4179d217bb5c287b6254a","observation_id":"6ccad76a-b1b4-4ee6-901b-96a28a3448da","resolution":{"observed_at":"2026-07-31T12:53:55.462625Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.24232","last_updated":"2026-05-22T21:22:07Z","snapshot_observed_at":"2026-08-06T21:18:10.812389Z","submitted_at":"2026-05-22T21:22:07Z","title":"Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.24232","snapshot_observed_at":"2026-07-31T12:53:55.466069Z","title":"Delgadino, and Jun Kitagawa.Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.466069Z"},"links":{"cited_paper":"/paper/2605.24232","citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:d8967926800afbc9e0b9a97f63b71be7dbc975f2c51abe089f92fe11277dcf32","observation_id":"349eb4e2-59a0-4a30-8c39-91b9729cdc34","resolution":{"observed_at":"2026-07-31T12:53:55.466069Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/120862892","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Second Order Analysis for Bang-Bang Control Problems of PDEs","venue":"SIAM Journal on Control and Optimization","work_id":"19d14cd6-7f02-4aa9-9f7d-bfe9fafc4cea","year":2012},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.470012Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:1130fd10e5d4288a417346547d2403919abc866c0101c2367137bc5b9dc4e970","observation_id":"21a4299b-9230-43fc-8425-e1a0547bd33b","resolution":{"observed_at":"2026-07-31T12:56:02.248854Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/13092188x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Optimal control of semilinear elliptic equations in measure spaces","venue":"SIAM Journal on Control and Optimization","work_id":"2a2830ca-98f6-474d-914f-7aa5c76f8c87","year":2014},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.473256Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:3977ca4ecab1e12a1dc3084c088ea17d7d88ae903060180bd6e7a9bb699a26e5","observation_id":"82f38603-92e8-4ba8-b271-131a6218b034","resolution":{"observed_at":"2026-07-31T12:56:01.722300Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-31T12:53:55.476628Z","title":"Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.476628Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:fec8cdbc30098f76931de412839afb757c6d7c1d7660d38eb77fb0352ddcb06b","observation_id":"1d793694-ad31-496a-bec1-5a810e59e121","resolution":{"observed_at":"2026-07-31T12:53:55.476628Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/16m1099674","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Sufficient Second- Order Conditions for Bang-Bang Control Problems","venue":"SIAM Journal on Control and Optimization","work_id":"b976b67e-a48d-45e1-9ef1-80fac8092b3a","year":2017},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.479755Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:4b654098617d9445fb9318167030f4dbba2cebf8b1fe737165b5a248ed90da18","observation_id":"893314bd-ee58-4287-ab65-b0f59f949e52","resolution":{"observed_at":"2026-07-31T12:56:01.411591Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-31T12:53:55.483156Z","title":"Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.483156Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:340d853d2b4373b598a59fc4d26c2a340c9bddcec18c1c251a3c14cb375a815f","observation_id":"0722fbcb-660d-4f96-92bf-207958b03f4d","resolution":{"observed_at":"2026-07-31T12:53:55.483156Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/17m1140418","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"No-Gap Second-Order Conditions via a Directional Curvature Functional","venue":"SIAM Journal on Optimization","work_id":"70ea8fe8-41e1-4af8-8096-ce7417f52b5b","year":2018},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.486303Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:267c710cb42c34939456f66ac2e99f3691dd2bccab8979a9e8cf15a2f199c58b","observation_id":"cabb8361-f268-45ef-96a4-80ed9dd4f9a0","resolution":{"observed_at":"2026-07-31T12:56:01.049791Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-31T12:53:55.489700Z","title":"A duality-based approach to elliptic control problems in non-reflexive Banach spaces","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.489700Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:1f544023dab4c0fe23c231d4618d2a82d56eb94f89d82aa4ff847bc4194bd9ac","observation_id":"30fadd61-886b-4584-b546-4ca7ac8c603d","resolution":{"observed_at":"2026-07-31T12:53:55.489700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10589-011-9444-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A measure space approach to optimal source placement","venue":"Computational Optimization and Applications","work_id":"974277a4-fb36-4b01-a480-bf00f689266a","year":2012},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.492765Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:2f159e7690888f2bc200b3aef86fee86eb59e2a3579c2e52b1159e4d6137ee2e","observation_id":"e2d16cd2-eeba-4601-9b8c-dce2e22a2008","resolution":{"observed_at":"2026-07-31T12:56:00.766255Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10589-010-9365-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A note on the approximation of elliptic control problems with bang-bang controls","venue":"Computational Optimization and Applications","work_id":"97775805-4173-44d5-a7c6-7b60a686fd99","year":2012},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.495956Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:57d344987abd903cb802abfabe70dbeadb50155c492449e5260cf6bf86c05758","observation_id":"47f82e95-f80a-40be-ae95-4aa86fb18bee","resolution":{"observed_at":"2026-07-31T12:56:00.558114Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2153983","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Generalized second-order derivatives of convex functions in reflexive Banach spaces","venue":"Transactions of the American Mathematical Society","work_id":"5534f85f-dc5b-4105-a5ef-ebe26babd1f6","year":1992},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.499747Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:8cda692388c45c506eeaeaa8ecc9dab93bd8d213d08f6e67ecbb959d72bb4ea7","observation_id":"b53ae51e-a757-4701-9fdc-18835ab25431","resolution":{"observed_at":"2026-07-31T12:56:00.343382Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10208-014-9228-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Exact support recovery for sparse spikes deconvolution","venue":"Foundations of Computational Mathematics","work_id":"82502531-fba8-451d-97e1-39c12276b849","year":2015},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.502969Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:ce2202be9ba1130eefa6688b521fb6f01f4c2c98f467a651cddc86eb72a99589","observation_id":"01f0552f-88bd-4229-8806-a9f8e864270d","resolution":{"observed_at":"2026-07-31T12:56:00.049826Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/mana.19921550110","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"On Nemytskij operators in Lp-spaces of abstract functions","venue":"Mathematische Nachrichten","work_id":"20fa28cd-3f66-4e39-9f06-12adf23f2ca0","year":1992},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.506607Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:d5fabb33f901522681938f0a3b305a1518a2a992c1fcf94de3ad951492b6f3f2","observation_id":"dbe12e67-56c7-486c-86c6-0b1d236f42ff","resolution":{"observed_at":"2026-07-31T12:55:59.797182Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-31T12:53:55.509717Z","title":"The inhomogeneous Dirichlet problem in Lipschitz domains","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.509717Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:12b44e8e56ccb6b900de9538c48902334b9c09ea355e8dc6c6c6f4414fd1a4ae","observation_id":"1fcf976b-7b94-49c7-afd8-77b5a1e342df","resolution":{"observed_at":"2026-07-31T12:53:55.509717Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01027827","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Second-order epi-derivatives of integral functionals","venue":"Set-Valued Analysis","work_id":"6b33d465-b8b5-412d-9451-e00a3ea6632d","year":1993},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.513419Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:24420aec5adb994fc1c9853a6cd38768c6ffbdae0b450a53525305f8945d2907","observation_id":"f1ffadbe-5ef6-4943-bdd9-db6e74e9e852","resolution":{"observed_at":"2026-07-31T12:55:59.507802Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.02808","last_updated":"2025-06-03T12:36:36Z","snapshot_observed_at":"2026-08-08T08:11:12.347769Z","submitted_at":"2025-06-03T12:36:36Z","title":"Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.02808","snapshot_observed_at":"2026-07-31T12:53:55.517750Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.517750Z"},"links":{"cited_paper":"/paper/2506.02808","citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:03dc7ccac44828c0b4512ac67af6d039c3011f96e08b731af28e42ce3b88289d","observation_id":"b09412ca-8e95-4d10-b46d-45bb4be5e8db","resolution":{"observed_at":"2026-07-31T12:53:55.517750Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00211-019-01073-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems","venue":"Numerische Mathematik","work_id":"c920750e-8fe4-4f91-b7fa-0db9d50f0074","year":2019},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.521316Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:28eff9e8f5010ae3d4b62a109db2191635f392bf118814ab5884b00bb925d61e","observation_id":"8e2f5038-0352-46be-9491-b228c7acba85","resolution":{"observed_at":"2026-07-31T12:55:59.216869Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-31T12:53:55.524500Z","title":"A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.524500Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:f5495c22bf8413fc24b18e9bb38dee49418c626c6ee093c67b87e955d8904f42","observation_id":"e48b6c1d-84d0-4b76-9f66-e1c03be00761","resolution":{"observed_at":"2026-07-31T12:53:55.524500Z","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":"2026-07-31T12:53:55.527650Z","title":"Ponce.Elliptic PDEs, Measures and Capacities","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.527650Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:7a8822e3cf9670a5a76f76dd567a372096c7caa592f4bfc9f2f3b8d3059c075b","observation_id":"4a9dddd6-2261-4334-abb3-0e721ef67037","resolution":{"observed_at":"2026-07-31T12:53:55.527650Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T12:53:55.531192Z","title":"Integrals which are convex functionals. II","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.531192Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:953523780b380c2dfa58853da1991148dccb2106e229645f82b289b6255e3212","observation_id":"de215e61-5dc3-457c-80ce-300e4f17bc01","resolution":{"observed_at":"2026-07-31T12:53:55.531192Z","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":"2026-07-31T12:53:55.534471Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.534471Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:cd1453da0393abdc612a3caceba35305876cca6732801ce8932f621ef382aee8","observation_id":"fb630a45-5eea-4b25-8218-32abcc902e32","resolution":{"observed_at":"2026-07-31T12:53:55.534471Z","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":"2026-07-31T12:53:55.537762Z","title":"Springer International Publishing, 2015.doi:10.1007/978-3-319-20828-2","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.537762Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:8a2fc66f72620f1ce8e9e06154eec5239eb39cf965a92e967bca66bec81eb4da","observation_id":"23a09964-cce6-482f-bce2-db1fa7ebaeba","resolution":{"observed_at":"2026-07-31T12:53:55.537762Z","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":"2026-07-31T12:53:55.541661Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.541661Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:249b85ea960b1c95a35786938bd2e1f395260b4189511792fd6bc281a8678463","observation_id":"e80d74fa-b4bf-457a-a2fc-35c0a7107cb0","resolution":{"observed_at":"2026-07-31T12:53:55.541661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-642-02256-2_38","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Sparsity Regularization for Radon Mea- sures","venue":"Lecture notes in computer science","work_id":"673fe0e8-19ee-4d07-aba6-e6ed8f21142d","year":2009},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.545153Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:047e6aaeb2b302e0f1c7269cb01b6741353581ddfc88d63b797ffaf3ea541ba9","observation_id":"6aafc9a3-8921-4fa6-a9a1-dab56e7f9a90","resolution":{"observed_at":"2026-07-31T12:55:58.951851Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-31T12:53:55.548275Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.548275Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:91490df888b49b7160403da5f2e9ad73958e3fea534e47a8bc69240329055bd3","observation_id":"a6e1bf0b-9019-4547-9050-c94914e69859","resolution":{"observed_at":"2026-07-31T12:53:55.548275Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.46298/jnsao-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T12:55:58.655629Z","title":"Second-order conditions for non- uniformly convex integrands: quadratic growth in L1","venue":null,"work_id":"b6f9a043-68cc-453a-94d3-1a61e6db6689","year":2022},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.551436Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:4ce1e5bc5739ef6904eb789481abda5f2dee7353d3f9b60c8fd2cdc86c9907e0","observation_id":"dfca8b80-a0b5-4393-be52-691c6192ea13","resolution":{"observed_at":"2026-07-31T12:55:58.712435Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-31T12:53:55.555261Z","title":"Convergence and Regularization Results for Optimal Control Problems with Sparsity Functional","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.555261Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:f88653992c2b8c98bc99ad5ec53e80e130b7dd8c2d8fde583c5d0e3182af5b80","observation_id":"d106cc09-bf9d-4ae1-bf91-26c58ac3e296","resolution":{"observed_at":"2026-07-31T12:53:55.555261Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.12001","last_updated":"2024-03-18T17:35:47Z","snapshot_observed_at":"2026-08-04T17:23:02.694629Z","submitted_at":"2024-03-18T17:35:47Z","title":"No-gap second-order conditions for minimization problems in spaces of measures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.12001","snapshot_observed_at":"2026-07-31T12:53:55.558516Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.558516Z"},"links":{"cited_paper":"/paper/2403.12001","citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:7d56e0e2be70dcbbc886f81afd2aa203a7099154a05f317406d1c4c007a67a45","observation_id":"0d6c9273-2d99-4e75-906b-4c3ae11097b9","resolution":{"observed_at":"2026-07-31T12:53:55.558516Z","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":"2026-07-31T12:53:55.562087Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-31T12:53:55.562087Z"},"links":{"citing_paper":"/paper/2607.28264"},"observation_digest":"sha256:005cf9d606f46238f7fb20b1b482415b421d0b3675a750058c00ffe6f9d58d70","observation_id":"82f99faf-414c-4aff-b77b-e8a30b425214","resolution":{"observed_at":"2026-07-31T12:53:55.562087Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.28264","last_updated":"2026-07-30T14:21:01Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-06T15:55:48.044437Z","submitted_at":"2026-07-30T14:21:01Z","title":"No-gap second-order conditions for optimization problems involving transport distances"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":5,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":12,"verified_fuzzy":0},"total_outbound_references":34},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.28264."}