{"as_of":"2026-08-12T19:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:85b6f8edd8d8c2eae004c48ce1cf4279a93fe593b8fa588e8719f99a78ad4300","coverage":[{"denominator":259,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:01:22.795055Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2608.06344/citation-record","integrity":"/paper/2608.06344/integrity","json":"/paper/2608.06344/citation-record.json","paper":"/paper/2608.06344"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:01:22.524244Z","title":"Agrachev and P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.524244Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:3cd69116aadbeb00eacdd27fc3d2ed0ffe4b8eb44dc0afb4343c4b5f77226f26","observation_id":"a961583a-2646-4bc2-ac81-7517185bb0ab","resolution":{"observed_at":"2026-08-07T05:01:22.524244Z","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":"2026-08-07T05:01:22.527979Z","title":"Alibert, G","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.527979Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:d030625b78e9414e91126929bb5db012ce43cc2be2c802d186ac32c1ea0d4701","observation_id":"900dfb84-22c5-486f-8970-7badcfd508a7","resolution":{"observed_at":"2026-08-07T05:01:22.527979Z","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":"2026-08-07T05:01:22.531225Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.531225Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:c789fdfe214749d13f161b1afc6380ffb3bdc2e08a371e3ff1d0ff3d504f4e78","observation_id":"97fe4d43-3474-4b7c-a350-811963888a11","resolution":{"observed_at":"2026-08-07T05:01:22.531225Z","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":"2026-08-07T05:01:22.534336Z","title":"Alvarez, F","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.534336Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:ebfe1aca0415a8f403b79ba9ad8953d1467c0e0372a72437c60dea5229310cbb","observation_id":"9b5183b2-e22d-47c0-8352-ac1f5eb234db","resolution":{"observed_at":"2026-08-07T05:01:22.534336Z","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":"2026-08-07T05:01:22.537474Z","title":"Ambrosio,Lecture notes on optimal transport problems,in Mathematical Aspects of Evolving Interfaces, Lecture Notes in Math.,1812, (2003) Springer-Verlag, Berlin/New York, 1-52","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.537474Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:b58245fec631f075a30d32c753d0608ce64af69884d8f431294fff50fcd4f272","observation_id":"6f5cf5ac-e7a8-4fa2-9b0f-6eddee0c0c6d","resolution":{"observed_at":"2026-08-07T05:01:22.537474Z","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":"2026-08-07T05:01:22.540614Z","title":"Ambrosio, N","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.540614Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:1ef4be2e0b38719e4041e9f554be81ef3daa9dc60b8d89aaf263aa3e24d81d15","observation_id":"f744603f-e278-4671-8004-ceddc0f83c11","resolution":{"observed_at":"2026-08-07T05:01:22.540614Z","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":"2026-08-07T05:01:22.544214Z","title":"Ambrosio, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.544214Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:3ae74143027658b1f6c66e52310c9c9223e2ae87c9c433397875890f1806e7ae","observation_id":"7574811f-a1fa-43a1-9f52-0746db8595f9","resolution":{"observed_at":"2026-08-07T05:01:22.544214Z","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":"2026-08-07T05:01:22.546737Z","title":"Anger, J","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.546737Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:b10fbda130c17fa68155d69b29ae3bdc47deea94c3b4db67b8d7f4f0abb4046e","observation_id":"72fcde82-6702-4e36-9424-bc689ff4356b","resolution":{"observed_at":"2026-08-07T05:01:22.546737Z","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":"2026-08-07T05:01:22.549459Z","title":"Anantharaman,On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics,J","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.549459Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:9d10315d14db5ef9666ab21065a418ae72ef5f92d07093543f21f500964f13e8","observation_id":"243bcf13-bf20-4ef9-a550-82217ef14f46","resolution":{"observed_at":"2026-08-07T05:01:22.549459Z","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":"2026-08-07T05:01:22.552257Z","title":"Aubry,The twist map, the extended Frenkel-Kontorova model and the devil’s staircase,Phys","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.552257Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:14f0e9c12f39107fc602ef5377cfa4e1f73a0805a3853e0b5e1148d4783a6c8a","observation_id":"c8cbe881-0a52-427c-a8c8-851a0b11bea4","resolution":{"observed_at":"2026-08-07T05:01:22.552257Z","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/s00526-019-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:01:23.255763Z","title":"Backhoff Veraguas, M","venue":null,"work_id":"e52f76ce-90cf-49be-b814-f90713af5637","year":2019},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.554818Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:f6bae930756e73ee5ccc33c4780bfe4daa22438843e3042569c70450af5c8143","observation_id":"080bd6d4-32f5-4ea8-9075-de082495657e","resolution":{"observed_at":"2026-08-07T05:01:23.258656Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T05:01:22.557444Z","title":"Bardi and I","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.557444Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:342abd5511ce5d600e070c142a46820c6f63612e18d86bd6bdff5a407f9261c2","observation_id":"ec1e9579-37ee-4a0d-8b4a-6d515da14802","resolution":{"observed_at":"2026-08-07T05:01:22.557444Z","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":"10.1017/s0956792519000032","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Barton, N","venue":"European Journal of Applied Mathematics","work_id":"3bb44504-36fc-41c4-84f5-7bca855675bc","year":2019},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.560115Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:3cceb34fb5d3dff0dd2fe6ac80e389d981797bb868051be289c943dc2dd5dbf1","observation_id":"9b1f44ba-2b6e-4462-aa71-c499283b215c","resolution":{"observed_at":"2026-08-07T05:01:23.249171Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T05:01:22.562832Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.562832Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:52d7cd4ee717bd4bd0aefa79372d8b0a2b7f03c3923b26153353da269f6bc0fa","observation_id":"4f2f708f-1f3c-4149-b1f4-2903f3ccdba7","resolution":{"observed_at":"2026-08-07T05:01:22.562832Z","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":"2026-08-07T05:01:22.565376Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.565376Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:83351e98d76dd9530454f5d608ebbf6552299eae28c07dbb921b8d650d30be2d","observation_id":"7355969e-38e8-4045-9716-b40bfb8802bf","resolution":{"observed_at":"2026-08-07T05:01:22.565376Z","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":"2026-08-07T05:01:22.567843Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.567843Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:9c603ea40e01312aec85639c42597d0288d859a52543b9a7be6d3effe2cb96a7","observation_id":"ef1a1ada-403e-40b5-8a69-28a21c153ee6","resolution":{"observed_at":"2026-08-07T05:01:22.567843Z","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":"2026-08-07T05:01:22.570463Z","title":"Bedford and B","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.570463Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:969b292c73877a02d023e3c5aa83d2d1520562de81987374d2f6c27445ba93c9","observation_id":"a2e1f9cd-d46c-47e4-b175-d328f63032dd","resolution":{"observed_at":"2026-08-07T05:01:22.570463Z","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":"2026-08-07T05:01:22.573261Z","title":"Beiglb¨ ock and N","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.573261Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:71596be010b959bc26fb41b2b9648c4abbfe0638853980d382a84e27394a13c2","observation_id":"9048cdf7-80a7-47c8-865f-8b275aa95bd9","resolution":{"observed_at":"2026-08-07T05:01:22.573261Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.03887","last_updated":"2020-04-14T02:19:10Z","snapshot_observed_at":"2026-07-31T03:35:00.673551Z","submitted_at":"2019-03-09T23:14:44Z","title":"Fine Properties of the Optimal Skorokhod Embedding Problem","version":2},"cited_work":{"arxiv_id":"1903.03887","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.03887","snapshot_observed_at":"2026-08-07T05:01:23.359748Z","title":"Fine Properties of the Optimal Skorokhod Embedding Problem","venue":"math.PR","work_id":"4fd05d9d-b363-4976-aeb6-2fda0fa258ce","year":2019},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.575844Z"},"links":{"cited_paper":"/paper/1903.03887","citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:43293e6555abcdfc6376a5c6364af9962d23317655a4433476cfaa306ac45ede","observation_id":"984faf53-5d65-46f3-bd9f-6475cd338361","resolution":{"observed_at":"2026-08-07T05:01:23.362735Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T05:01:22.578992Z","title":"Beiglb¨ ock, M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.578992Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:bd4ea4c5ed9fe2c4065afaf2c3f252d01fff8a75dff1f6c32921e7288e69f0d5","observation_id":"e5eb76af-4d00-4bd2-b127-4f9fbe087e51","resolution":{"observed_at":"2026-08-07T05:01:22.578992Z","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":"2026-08-07T05:01:22.581528Z","title":"Beiglb¨ ock, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.581528Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:b4b84a43d3a8c2527dbaed4647d53a06534e29c6b58e470072ae04806593ea54","observation_id":"2a888f6f-39aa-4c4c-8361-0cf2c720135e","resolution":{"observed_at":"2026-08-07T05:01:22.581528Z","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":"2026-08-07T05:01:22.584070Z","title":"Benamou and Y","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.584070Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:d35d9eb7be85774fd9b9b2afc7d53b8988000c1130e4215978dad4dc1bd5dcea","observation_id":"6662648f-7474-427a-a137-59076fd6073f","resolution":{"observed_at":"2026-08-07T05:01:22.584070Z","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":"2026-08-07T05:01:22.586801Z","title":"Bensoussan and J.-L","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.586801Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:ea5465b92e1ca6a5870d9e0ed734d5bf96222a28c5ec4b08adb3a10adb42a3fc","observation_id":"00ab9e8a-8b05-47de-974a-5a68b2b4693e","resolution":{"observed_at":"2026-08-07T05:01:22.586801Z","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":"2026-08-07T05:01:22.589423Z","title":"Bernard, B","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.589423Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:c51ce23b695ad3028d629bf39e6b8443f286f7146d4b704c59e42e86bd3da63b","observation_id":"30470ca4-cb17-44b7-a94b-3b8bc8418e52","resolution":{"observed_at":"2026-08-07T05:01:22.589423Z","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":"2026-08-07T05:01:22.591893Z","title":"Bernard, B","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.591893Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:0588d9e443df30a2c71e313481c4b9d4d0d9ae5cb87e2f5b6939bad81411527b","observation_id":"aa1e1037-3c79-4978-88c3-f6c6263d64cb","resolution":{"observed_at":"2026-08-07T05:01:22.591893Z","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":"2026-08-07T05:01:22.594905Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.594905Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:4f09c96c433db6c9be4d246a1e4d6525910bde51f79c7dcf831850fd51cd5660","observation_id":"f7c017dc-16a8-4068-bcf3-13ee2f1df814","resolution":{"observed_at":"2026-08-07T05:01:22.594905Z","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":"2026-08-07T05:01:22.597598Z","title":"Bismut,Potential theory in optimal stopping and alternating processes, Stochastic Control Theory and Stochastic Differential Systems, p","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.597598Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:de423de324e5df3b31f1eabc5f8ca8f783fcfc52b23ed8aa92ce58e7dc978ab7","observation_id":"8495076a-3610-4982-b77c-8f7ae43e00f8","resolution":{"observed_at":"2026-08-07T05:01:22.597598Z","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":"2026-08-07T05:01:22.600355Z","title":null,"venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.600355Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:58e6f03d7dd84dcd2c7f577d8afd68bab0787d7df4905b522104ce1e51c2cdd5","observation_id":"f4738e89-4947-42bf-bb2f-7c7b9f9e9be8","resolution":{"observed_at":"2026-08-07T05:01:22.600355Z","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":"2026-08-07T05:01:22.603102Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.603102Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:84b8fa7884f302897d5dffc8038143b5ad57bb36343c77266f9b528e79d4ee01","observation_id":"b3a4e745-0216-4136-acaa-41d7fc9896ff","resolution":{"observed_at":"2026-08-07T05:01:22.603102Z","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":"2026-08-07T05:01:22.605734Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.605734Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:c13205d8dc8fcce69ce5319cfd829bd9a204ff96d3ffa1b72fc606dd74a2d00f","observation_id":"28505806-8e8a-4f8b-ad26-df872c154d88","resolution":{"observed_at":"2026-08-07T05:01:22.605734Z","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":"2026-08-07T05:01:22.608488Z","title":"Blackwell,Comparison of experiments, Proc","venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.608488Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:718e85315b0f145196b98f8e9683a65c77ae96cf05a0e7ba062c4c3c2f5f9d49","observation_id":"6a040b5e-9f5e-47c0-9a8b-48e74644e943","resolution":{"observed_at":"2026-08-07T05:01:22.608488Z","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":"2026-08-07T05:01:22.611281Z","title":"Bleidtner, W","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.611281Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:5ff788114a5293b8adf7e470df708423b5ea5bbe962efbe749bc6e5548da269e","observation_id":"bf5b826f-e43b-463e-9cbb-32842cdb04f1","resolution":{"observed_at":"2026-08-07T05:01:22.611281Z","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":"2026-08-07T05:01:22.614088Z","title":"Bobkov,Isoperimetric and analytic inequalities for log-concave probability measures, Ann","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.614088Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:d68377c1bf751663f12636d05ebd99ae7d3ae284fb541067b72339686a3d4cb6","observation_id":"b88248f3-8a1e-4fc4-8504-d2fa8f580e6e","resolution":{"observed_at":"2026-08-07T05:01:22.614088Z","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":"2026-08-07T05:01:22.617396Z","title":"Bobkov, M","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.617396Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:cdc22dbb55dd96a95fbb4e4c51827f8d91e34d47f8214d1410e689634521bdc5","observation_id":"14083c79-5498-43c6-8b83-49efdd40c824","resolution":{"observed_at":"2026-08-07T05:01:22.617396Z","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":"2026-08-07T05:01:22.619996Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.619996Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:e81b2a5b95b4191993031253a9b295aa444eec7ad1d7dfa567f8283e64783020","observation_id":"cc7e0c33-5d44-464a-a8cb-5db56a8b6fe5","resolution":{"observed_at":"2026-08-07T05:01:22.619996Z","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":"2026-08-07T05:01:22.622626Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.622626Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:c13e0abc9b6e9797addd79b694f0bec9bc56dad88c2d2ffbcb92243b9171afff","observation_id":"c9e12299-1c17-410a-95d0-522b473694ff","resolution":{"observed_at":"2026-08-07T05:01:22.622626Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.01414","last_updated":"2018-02-07T00:41:21Z","snapshot_observed_at":"2026-07-06T06:02:38.106107Z","submitted_at":"2017-10-03T22:44:12Z","title":"A Self-dual Variational Approach to Stochastic Partial Differential Equations","version":2},"cited_work":{"arxiv_id":"1710.01414","doi":null,"metadata_source":"pith","pith_arxiv_id":"1710.01414","snapshot_observed_at":"2026-08-07T05:01:23.348548Z","title":"A Self-dual Variational Approach to Stochastic Partial Differential Equations","venue":"math.AP","work_id":"e22b5a49-8890-42d7-86ad-7297783069d4","year":2017},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.625384Z"},"links":{"cited_paper":"/paper/1710.01414","citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:bd5752da3377c3190852d13774db588dc51bba7e0b12d0f6a1b5341c50f8e0ad","observation_id":"ccb3aeef-229a-4bc2-b513-0d5909189edd","resolution":{"observed_at":"2026-08-07T05:01:23.351636Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T05:01:22.628244Z","title":"Collatz,Einschließungssatz f¨ ur die charakteristischen Zahlen von Matrizen, Math","venue":null,"work_id":null,"year":1942},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.628244Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:b9f91978b5a73e0a2c4ccb6560029193a2b26af0addff2241d63a2b75fde2919","observation_id":"6c5392a2-c0e9-40ba-b03c-01c69c16e2ec","resolution":{"observed_at":"2026-08-07T05:01:22.628244Z","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":"2026-08-07T05:01:22.630769Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.630769Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:b5ef7e122ab2727eef4712ce6b19e2a6e1c80514145ff70780b75a44629ce268","observation_id":"3109dadb-c591-4b1a-be37-3f27a55c0e6d","resolution":{"observed_at":"2026-08-07T05:01:22.630769Z","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":"2026-08-07T05:01:22.633463Z","title":"Hilbert, ¨Uber die gerade Linie als k¨ urzeste Verbindung zweier Punkte, Math","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.633463Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:c320032d5d93627b5a8776829658461078be10e829fa920a36d0c7b32dc24a0c","observation_id":"d4489a7d-1d28-41b6-b8c6-b5ece43d6ee0","resolution":{"observed_at":"2026-08-07T05:01:22.633463Z","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":"2026-08-07T05:01:22.636110Z","title":"Hopf,An inequality for positive linear integral operators, J","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.636110Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:82f5002855d88ee0af86353d6308f6755d8ef0ba3856b99669ce5939e6ca1a0b","observation_id":"520310e0-ea8b-4c5c-8d3a-b5fdf10d10c7","resolution":{"observed_at":"2026-08-07T05:01:22.636110Z","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":"2026-08-07T05:01:22.638968Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.638968Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:59d13a59e69478b735007fcfda2fb30c3a201ea8ffc1210967a594d0c3609dce","observation_id":"186316da-96a9-43ae-9e94-1f60bc33089c","resolution":{"observed_at":"2026-08-07T05:01:22.638968Z","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":"2026-08-07T05:01:22.641457Z","title":"Nachbin,Topology and Order, Van Nostrand Mathematical Studies4, D","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.641457Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:b63bf3b009e63f8bba47ecf7cb9be924c1804c297b3aaea040211d3d1debc086","observation_id":"d01f95d7-aa7c-40b7-b56b-fb12ff044f18","resolution":{"observed_at":"2026-08-07T05:01:22.641457Z","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":"2026-08-07T05:01:22.643955Z","title":"Ruelle,Thermodynamic Formalism, Encyclopedia of Mathematics and its Applications5, Addison-Wesley, Reading, MA, 1978","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.643955Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:d8cf713d4a071317087eb2899488f2cf3cb6cfaf4003bfeee06d6732a00713bd","observation_id":"05854cb7-b018-4b0b-9b42-8120d2847ac8","resolution":{"observed_at":"2026-08-07T05:01:22.643955Z","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":"2026-08-07T05:01:22.646645Z","title":"Parry, M","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.646645Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:71c241cf4125e0f9df7b040e584cfdae555af8c12b22db0eb11e157023761be5","observation_id":"d3dc48a3-67a5-476e-acd6-2529d7679230","resolution":{"observed_at":"2026-08-07T05:01:22.646645Z","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":"2026-08-07T05:01:22.649267Z","title":"Baladi,Positive Transfer Operators and Decay of Correlations, Advanced Series in Nonlinear Dynamics16, World Scientific, Singapore, 2000","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.649267Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:4469b274928f4782d81095ae9d2977c6ca62f9cf57bb30db157fd051b27fe048","observation_id":"3da6622a-a610-4b78-9e2d-1d4a6364d536","resolution":{"observed_at":"2026-08-07T05:01:22.649267Z","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":"2026-08-07T05:01:22.651828Z","title":"Przytycki, M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.651828Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:34c04acaef7348e974a313bde23ad5f7e7d71e2182ba09f49737d5af40269c87","observation_id":"405aa2a8-1b02-4174-a8e8-476860ce7a29","resolution":{"observed_at":"2026-08-07T05:01:22.651828Z","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":"2026-08-07T05:01:22.654323Z","title":"Artzner, F","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.654323Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:9c12e6740a0d8db821f6781828739f3152c9998b56f30fab701eeff634a6fa37","observation_id":"bb396d4b-5deb-41c9-abcf-cbe7ddabcf7e","resolution":{"observed_at":"2026-08-07T05:01:22.654323Z","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":"2026-08-07T05:01:22.657101Z","title":"Frittelli, E","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.657101Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:506ac5dda05d00efe6da10d24a4d978e88792e8e66722139ccc69c8340e6f6c2","observation_id":"a2c3fb22-3123-4b1c-b8df-aec4e680f703","resolution":{"observed_at":"2026-08-07T05:01:22.657101Z","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":"2026-08-07T05:01:22.659823Z","title":"Peng,Nonlinear Expectations and Stochastic Calculus under Uncertainty, Probability Theory and Stochastic Modelling95, Springer, Berlin, 2019","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.659823Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:2830087a605536afecb694300f5beb7e309f8bdd14393ef53eea721071800c41","observation_id":"2d77475f-dba0-4649-9382-c4e892b15fa2","resolution":{"observed_at":"2026-08-07T05:01:22.659823Z","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":"2026-08-07T05:01:22.662564Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.662564Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:da6df79332e0b1166ef4a951e1d1933033bc7295fcb14ab88c8eaa60ea7070f1","observation_id":"160ef83a-265c-47c1-8419-2b96fdfd9437","resolution":{"observed_at":"2026-08-07T05:01:22.662564Z","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":"2026-08-07T05:01:22.665129Z","title":"Balaji, S","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.665129Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:aee29eb620ae55d77f92bfbdf7b76b9976b00c97d9cbcb5b8803c63ba3e8a466","observation_id":"521b578d-568b-44eb-9367-246b6da87dd9","resolution":{"observed_at":"2026-08-07T05:01:22.665129Z","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":"2026-08-07T05:01:22.667566Z","title":null,"venue":null,"work_id":null,"year":1948},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.667566Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:eea223f415bc95bd74371cd5c499036b3fee843421afe76c9b1fde53c44bc6a5","observation_id":"befbfd9a-a237-414f-905d-0e0c0743690b","resolution":{"observed_at":"2026-08-07T05:01:22.667566Z","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":"2026-08-07T05:01:22.670191Z","title":"Birkhoff,Extensions of Jentzsch’s theorem, Trans","venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.670191Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:0c392922d0b6faf62299697b5d8ea6cb39ec735ff57b2d64b520935d9b30a1f6","observation_id":"3e501cd6-dfa7-4ed8-831a-cf6539157e1c","resolution":{"observed_at":"2026-08-07T05:01:22.670191Z","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":"2026-08-07T05:01:22.672908Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.672908Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:dd97e32eccdd5101e74d6f46d016926b66eabc334ed944cd2ec23cf13082daff","observation_id":"961a62d8-207b-4159-9b61-7d560daa6203","resolution":{"observed_at":"2026-08-07T05:01:22.672908Z","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":"2026-08-07T05:01:22.675412Z","title":"Gaubert, J","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.675412Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:eb978c40cf0479b69ff1828f36a5fc7a2b6a56521961ad4ba13c68356a1e6917","observation_id":"cef98011-ad58-45b4-9baf-e3f79880bed9","resolution":{"observed_at":"2026-08-07T05:01:22.675412Z","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":"2026-08-07T05:01:22.677772Z","title":"Bowen.Equilibrium States and Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics 470, Springer-Verlag (1975)","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.677772Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:96e2c2e1a0286a87984626171da9889e0d94684d9972599c53e10f4d9a4f7d08","observation_id":"d53b7ecf-ae20-4743-8de9-54f4453c7b79","resolution":{"observed_at":"2026-08-07T05:01:22.677772Z","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":"2026-08-07T05:01:22.680716Z","title":"Bowles,Linear transfers, Kantorovich operators, and their ergodic properties, PhD thesis, UBC (2020)","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.680716Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:2919a590461fa01374fc4f049377eff2f14392bad57e2edfebf18f129d5b81a8","observation_id":"d34f9bed-dcfd-4431-8636-f60ae4640502","resolution":{"observed_at":"2026-08-07T05:01:22.680716Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.08563","last_updated":"2018-10-26T16:53:06Z","snapshot_observed_at":"2026-08-08T12:00:23.354325Z","submitted_at":"2018-04-23T16:57:58Z","title":"A Theory of Transfers: Duality and convolution","version":3},"cited_work":{"arxiv_id":"1804.08563","doi":null,"metadata_source":"pith","pith_arxiv_id":"1804.08563","snapshot_observed_at":"2026-08-07T05:01:23.336442Z","title":"A Theory of Transfers: Duality and convolution","venue":"math.AP","work_id":"376d83a6-342d-4a60-81ba-27b38c23b48d","year":2018},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.683420Z"},"links":{"cited_paper":"/paper/1804.08563","citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:4e2b56d79fac68208aa85f379f15282964ec7cd764010431f949d172f1975bf6","observation_id":"9cd13f40-b68d-4c1a-8b56-605819693635","resolution":{"observed_at":"2026-08-07T05:01:23.340056Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.05793","last_updated":"2019-06-22T00:02:11Z","snapshot_observed_at":"2026-07-06T07:53:00.487007Z","submitted_at":"2019-05-10T19:55:24Z","title":"Mather Measures and Ergodic Properties of Kantorovich Operators associated to General Mass Transfers","version":2},"cited_work":{"arxiv_id":"1905.05793","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.05793","snapshot_observed_at":"2026-08-07T05:01:23.324443Z","title":"Mather Measures and Ergodic Properties of Kantorovich Operators associated to General Mass Transfers","venue":"math.AP","work_id":"cf911977-6761-43fb-a3b8-930f91b9e108","year":2019},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.686226Z"},"links":{"cited_paper":"/paper/1905.05793","citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:c618ca832477008abcebeb4994479423a43ddf5c69efbb3d03e30a6efbe0ccd3","observation_id":"d18b1632-89a8-46c1-97d0-a25b5de93160","resolution":{"observed_at":"2026-08-07T05:01:23.327613Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.00322","last_updated":"2023-12-30T21:10:22Z","snapshot_observed_at":"2026-08-08T02:21:57.221594Z","submitted_at":"2023-12-30T21:10:22Z","title":"Ergodic properties of Kantorovich operators","version":1},"cited_work":{"arxiv_id":"2401.00322","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.00322","snapshot_observed_at":"2026-08-07T05:01:23.312987Z","title":"Ergodic properties of Kantorovich operators","venue":"math.AP","work_id":"b955ac73-3cee-4345-a007-f471b6b71f27","year":2023},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.689266Z"},"links":{"cited_paper":"/paper/2401.00322","citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:74bf3142769bbb8d7dda3d2be8985ca498b7452a2fa763dbf41a2ea56fd2110f","observation_id":"f9c28ece-63ae-4c09-9353-7124c602c15b","resolution":{"observed_at":"2026-08-07T05:01:23.316209Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T05:01:22.692098Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.692098Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:11e448a11cab736184c997f0134463bba13c3d67f4e60e36671af918c8ad1a26","observation_id":"113c8607-8f31-432d-976c-25a933ac0d95","resolution":{"observed_at":"2026-08-07T05:01:22.692098Z","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":"2026-08-07T05:01:22.694725Z","title":"Brelot,Contributions to Potential Theory","venue":null,"work_id":null,"year":1955},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.694725Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:7895551811ba5d3d642e56fd78aaaa1508b49a21b3c9d1fe9b3af0f1a9e55410","observation_id":"cf454190-22df-44c8-a03d-05546070be0f","resolution":{"observed_at":"2026-08-07T05:01:22.694725Z","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":"2026-08-07T05:01:22.697345Z","title":"Brelot,On Topologies and Boundaries in Potential Theory, Lecture notes in Mathematics, 175, Springer, 1971 edition","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.697345Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:6890bfee11d0cdbdfddcd422b8a39bcf8726a24851021e1af80f36d46254247e","observation_id":"f3cf64e4-ee4f-4c17-acf7-f214a190d952","resolution":{"observed_at":"2026-08-07T05:01:22.697345Z","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":"2026-08-07T05:01:22.700041Z","title":"Brenier,Polar factorization and monotone rearrangement of vector-valued functions.Comm","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.700041Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:2a061821dd6a902936e31fb171b0ccb01f31c33adb380f43efd9d052db2ce8f1","observation_id":"39deb9bd-f6f2-4d77-9cee-6ddb4fbda57f","resolution":{"observed_at":"2026-08-07T05:01:22.700041Z","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":"2026-08-07T05:01:22.702883Z","title":"Bousch,Le poisson n ’a pas d’arˆ etes,Ann","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.702883Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:2b58442c838c90c404a38014f9569ea52bff2549f729aaf4da202fc2946bc8c7","observation_id":"7e4cb824-025f-4c3a-ac23-219a7f055f56","resolution":{"observed_at":"2026-08-07T05:01:22.702883Z","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":"2026-08-07T05:01:22.705468Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.705468Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:279ee1207b1918c0c21d3563f843b3be0b7b6c22b31ed8235605f56038bdb246","observation_id":"c5c4be0c-bd86-4e35-8c83-1c2c1fa8c869","resolution":{"observed_at":"2026-08-07T05:01:22.705468Z","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":"2026-08-07T05:01:22.708093Z","title":"Brenier,The least action principle and the related concept of generalized flows for incom- pressible perfect fluids, J","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.708093Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:dacefe20af5990320ae502679c97ece7973082495912772155b4a8db52f0f2db","observation_id":"9775b4d1-280f-49da-9cac-0b7fd7c672c9","resolution":{"observed_at":"2026-08-07T05:01:22.708093Z","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":"2026-08-07T05:01:22.710947Z","title":"Brenier,The dual least action problem for an ideal, incompressible fluid,Arch","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.710947Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:777df24d84eab035bef839919c629d16a5e61b4998232ace1555233e6855aa05","observation_id":"68473213-db97-424c-b90a-3888d5372e8e","resolution":{"observed_at":"2026-08-07T05:01:22.710947Z","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":"2026-08-07T05:01:22.714109Z","title":"Brenier,Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations,Comm","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.714109Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:e8724aa667e17407fa46ef8336abbe1a5677036531c1069d40349be2904e5f8f","observation_id":"79a1ee99-8df7-4c69-a249-0630c3ded0ee","resolution":{"observed_at":"2026-08-07T05:01:22.714109Z","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":"2026-08-07T05:01:22.717039Z","title":"Caffarelli, M","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.717039Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:ce056bdae2962ca4a443a273676c521516863fd2d014654b00d6881838115520","observation_id":"2792b272-84c0-4882-821c-65aa8cce3c15","resolution":{"observed_at":"2026-08-07T05:01:22.717039Z","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":"2026-08-07T05:01:22.719842Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.719842Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:58607a49e548618d2feadb2aaf8ff8513478d3d0960da75de4e81117c39bdb28","observation_id":"6128da49-5eee-492d-8c0e-b86cc69df528","resolution":{"observed_at":"2026-08-07T05:01:22.719842Z","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":"2026-08-07T05:01:22.722411Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.722411Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:3e2ac22a4758d05be38cefcf3f735d32037109d294402e1c73837e6a53374c55","observation_id":"38b22b12-13c3-44d5-aa2c-01f05d0bd1ab","resolution":{"observed_at":"2026-08-07T05:01:22.722411Z","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":"2026-08-07T05:01:22.725219Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.725219Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:14817f5bd773e66872925e6543dec213765bbf7a5ade3f2f73f0b4f31d5ffa55","observation_id":"78202997-d75d-4f25-a660-5f4c5948368a","resolution":{"observed_at":"2026-08-07T05:01:22.725219Z","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":"2026-08-07T05:01:22.727918Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.727918Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:751114c1ba5e28e9e63c43f7f02f6a02e3ff31f21b86ec471250ce0ea0504f00","observation_id":"4b859e49-ba9f-4d02-975a-054dc38f16ba","resolution":{"observed_at":"2026-08-07T05:01:22.727918Z","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":"2026-08-07T05:01:22.730618Z","title":"Cannarsa and C","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.730618Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:ff8b863d1baf44473230b002f68c30210fe62803a12ac7e4fcad2b1e993939a8","observation_id":"b5068fca-ee38-4f6e-b6bc-c4bf2c572054","resolution":{"observed_at":"2026-08-07T05:01:22.730618Z","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":"2026-08-07T05:01:22.733274Z","title":"Cardaliaguet, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.733274Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:cdebe65e3863f7527e94bcd7867e470a7d19e4e16f3b00e2cf157ac3cf32596f","observation_id":"02540ff6-5c57-40b8-875b-1592cd74faa6","resolution":{"observed_at":"2026-08-07T05:01:22.733274Z","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":"2026-08-07T05:01:22.736109Z","title":"Choquet, J","venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.736109Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:6c25b41496b34b4c9c99f551b79c3a078d66711ac826d4e3895acdf3f1834138","observation_id":"1e23ad0b-39b6-489e-a9e6-d6e807a79240","resolution":{"observed_at":"2026-08-07T05:01:22.736109Z","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":"2026-08-07T05:01:22.738795Z","title":"Choquet,Theory of capacities, Ann","venue":null,"work_id":null,"year":1953},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.738795Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:2cb49bbb0ca6b17610dbb6510b9cee7ed6da85fd25fb81ad0c0db81ed6efa4cf","observation_id":"6882b47a-3276-4be0-9e34-73c61e03540e","resolution":{"observed_at":"2026-08-07T05:01:22.738795Z","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":"2026-08-07T05:01:22.741393Z","title":"Choquet,Forme abstraite du th´ eor` eme de capacitabilit´ e, Ann","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.741393Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:4bb2576c15fd6fb9efec2eb03662df6de846da559ee1117baa0a41a42e7640e9","observation_id":"800a9997-e899-4073-9da3-2291951ca2aa","resolution":{"observed_at":"2026-08-07T05:01:22.741393Z","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":"2026-08-07T05:01:22.744230Z","title":"Choquet,Lectures on Analysis, W","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.744230Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:57242a2eb386f3ca80ef954bf04632ba325aa9215e7cf7d3805c4cd2eda7f350","observation_id":"91251d13-2a15-467d-bc60-1f15fef1cf91","resolution":{"observed_at":"2026-08-07T05:01:22.744230Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.11292","last_updated":"2023-03-03T17:24:04Z","snapshot_observed_at":"2026-07-06T08:53:45.264296Z","submitted_at":"2020-01-30T13:01:47Z","title":"Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions","version":2},"cited_work":{"arxiv_id":"2001.11292","doi":null,"metadata_source":"pith","pith_arxiv_id":"2001.11292","snapshot_observed_at":"2026-08-07T05:01:23.300873Z","title":"Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions","venue":"math.FA","work_id":"fa6e4680-11a3-4919-978b-ee714922dedf","year":2020},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.747037Z"},"links":{"cited_paper":"/paper/2001.11292","citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:dcfd7dddf715c84fb3820e8281394d768ecf1732fce09a197be11767da5ec340","observation_id":"3a62a364-e5f9-45ce-a91b-c28a333586d0","resolution":{"observed_at":"2026-08-07T05:01:23.304228Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-07T05:01:22.749956Z","title":"Cordero-Erausquin, B","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.749956Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:7ba446127773d4df43ef50a6f238405a71155a421714f8657c56ed563526c3ed","observation_id":"df9dc462-2ec3-4c83-b890-9a41e55b15c3","resolution":{"observed_at":"2026-08-07T05:01:22.749956Z","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":"2026-08-07T05:01:22.752470Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.752470Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:c6ab3b80f0d8b6eef9f72e41b6e3ea7d28bd7c1100e8f93067e7b2c3e84066d3","observation_id":"401fc4f5-227c-4649-af12-dc79bf00a70b","resolution":{"observed_at":"2026-08-07T05:01:22.752470Z","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":"2026-08-07T05:01:22.755102Z","title":"Davini, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.755102Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:923f1a3d1f263951ecb958c8453c9ec05e1172c19c642ed7d1dc521b9ef2cde1","observation_id":"52579593-af9d-4a76-8b9f-f95e98226154","resolution":{"observed_at":"2026-08-07T05:01:22.755102Z","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":"2026-08-07T05:01:22.757564Z","title":"Dellacherie, P","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.757564Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:f5a56ee837853b14a43f97d825f321f5d53c58379d73705852e18511dde739bb","observation_id":"71b227b0-638e-472b-a06c-19bcf223b310","resolution":{"observed_at":"2026-08-07T05:01:22.757564Z","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":"2026-08-07T05:01:22.760129Z","title":"Dellacherie,Quelques commentaires sur les prolongements de capacit´ es, S´ eminaire de prob- abilit´ es (Strasbourg), tome 5 (1971), p","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.760129Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:01756fbca4022bb445051014f2b5592fbafbb373a6c08471158fcb6591e8721a","observation_id":"78f440fd-584c-4379-bffa-4eb9ebdbede9","resolution":{"observed_at":"2026-08-07T05:01:22.760129Z","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":"2026-08-07T05:01:22.762800Z","title":"Diestel, J","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.762800Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:580c20006ae1ac5a50796e8f43b531074dd5ae8631a838a966ad5b12b81a4770","observation_id":"00a43f49-b7cc-4f53-8ceb-70d250e644a7","resolution":{"observed_at":"2026-08-07T05:01:22.762800Z","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":"2026-08-07T05:01:22.765274Z","title":"Contreras,Ground states are generically a periodic orbit,Invent","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.765274Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:b4c4c0c81bd365373dd8e8d77539d4c7bc403cc0bea8fc22d19f8a4463a4d97d","observation_id":"5be183ec-8323-47fe-b2fe-5e204287cd7b","resolution":{"observed_at":"2026-08-07T05:01:22.765274Z","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":"2026-08-07T05:01:22.768029Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.768029Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:ea43a92bd4975fad8fd4d46857dd75c396efc8848e32317774f3ee346b2b372f","observation_id":"7f3424a8-8c25-4472-8a00-2d2dd3fbf49c","resolution":{"observed_at":"2026-08-07T05:01:22.768029Z","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":"2026-08-07T05:01:22.770623Z","title":"Walters,An Introduction to Ergodic Theory, Graduate Texts in Mathematics79, Springer, New York, 1982","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.770623Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:a7a9d32372e1d5cd7dfcdb8e7671eadfe14a0f20901b821af78fdc884a2d25a0","observation_id":"4b9cc8f1-d395-4af6-8943-9518bcce256b","resolution":{"observed_at":"2026-08-07T05:01:22.770623Z","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":"2026-08-07T05:01:22.773367Z","title":"Jungers,The Joint Spectral Radius: Theory and Applications, Lecture Notes in Control and Information Sciences385, Springer, Berlin, 2009","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.773367Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:d68f1baaf8302cec4a4f5f71d2b09ecdfdb93260bcffffe335e2b10210d59a61","observation_id":"1fbe1d67-b214-48a1-8606-1db98392eb48","resolution":{"observed_at":"2026-08-07T05:01:22.773367Z","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":"2026-08-07T05:01:22.776097Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.776097Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:be1c7c592970b294c2634371e19cb23e7430a96b11514c53acbd589a3b8a5822","observation_id":"c0339d79-ed3a-4268-a1ce-07b63aaba28b","resolution":{"observed_at":"2026-08-07T05:01:22.776097Z","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":"2026-08-07T05:01:22.778783Z","title":"Kolyada, L","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.778783Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:ee4e9054d07ec6dc083c4f6478e37d53672b545ece3aa30c0632b809cb4e4535","observation_id":"032e8684-4cee-49be-91eb-6a3449207a99","resolution":{"observed_at":"2026-08-07T05:01:22.778783Z","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":"2026-08-07T05:01:22.781375Z","title":"Kaise, S.-J","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.781375Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:468a0bb1874a130186c8697f6efd442113b664476b305f61e22e0d29e2b4a111","observation_id":"652a6573-732b-4df3-a457-e54264070b13","resolution":{"observed_at":"2026-08-07T05:01:22.781375Z","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":"2026-08-07T05:01:22.784188Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.784188Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:dd88ec04f2171fe9dacd03ffea1d8bd2a53f2c073d5f97404fe3a591273f18fe","observation_id":"ed5d24ca-e5fa-4c19-83b0-86349ff7eb31","resolution":{"observed_at":"2026-08-07T05:01:22.784188Z","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":"2026-08-07T05:01:22.787080Z","title":"Kifer,Large deviations in dynamical systems and stochastic processes, Trans","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.787080Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:dbfc06c017d5985e605c159a8ae30b895e0be7f2a93d9e16e9a9f4add2c43519","observation_id":"116b75f6-42c7-464b-9ac1-1f3efc5c6d89","resolution":{"observed_at":"2026-08-07T05:01:22.787080Z","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":"2026-08-07T05:01:22.789945Z","title":null,"venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.789945Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:da7f10445b0ce33e0a119b248fba4fbe0a42fe95c4d7a741855eaf5ed0e82aaa","observation_id":"da7ddfbf-632d-4132-b2f6-950d4d41239a","resolution":{"observed_at":"2026-08-07T05:01:22.789945Z","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":"2026-08-07T05:01:22.792476Z","title":"Dembo, O","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.792476Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:2f6b78b761795b894c6c7cc6344cba17dfeb73f56f643449dc24c11e628e1913","observation_id":"fa1180ea-ae62-4f54-b3d6-93cd43ae673a","resolution":{"observed_at":"2026-08-07T05:01:22.792476Z","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":"2026-08-07T05:01:22.795055Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-07T05:01:22.795055Z"},"links":{"citing_paper":"/paper/2608.06344"},"observation_digest":"sha256:26880d05064cc1ee15b2420cacf52249115228bf75282009b5d986b0a867d884","observation_id":"7e6d8ac2-4b66-4060-8b15-a45c4124940e","resolution":{"observed_at":"2026-08-07T05:01:22.795055Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.06344","last_updated":"2026-08-06T17:51:00Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-10T08:29:10.421277Z","submitted_at":"2026-08-06T17:51:00Z","title":"A General Aubry-Mather Theory"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":92,"verified_exact":7,"verified_fuzzy":0},"total_outbound_references":259},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 100 of 259 outbound references and 0 inbound Pith citation observations for arXiv:2608.06344."}