{"as_of":"2026-08-16T12:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:635d86e1b5b84acdead1cd982eedcfda71765af58a4d9ee52b039382856721ec","coverage":[{"denominator":73,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":73,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T22:35:20.709282Z","state":"measured"},{"denominator":74,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":74,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T22:35:20.367052Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.10236","snapshot_observed_at":"2026-08-03T22:35:20.367052Z","title":"For such dynamics, the JE remains valid, provided the fric- tion kernel and noise correlations obey the fluctuation- dissipation theorem (FDT)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.367052Z"},"links":{"cited_paper":"/paper/2511.10236","citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:7e7d4bf97d87723a345a8fa4be0520bc487c800818b0148f52a59afee147e5fe","observation_id":"582ccdcf-897f-442b-bb5c-3f90b633795a","resolution":{"observed_at":"2026-08-03T22:35:20.367052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2511.10236/citation-record","integrity":"/paper/2511.10236/integrity","json":"/paper/2511.10236/citation-record.json","paper":"/paper/2511.10236"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T22:35:20.373052Z","title":"Jarzynski, Nonequilibrium equality for free energy dif- ferences, Phys","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.373052Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:ac9201ce070cfd3a22bf47b2c9e042ae55b39e33ff5163c1b61c15f5f8266ec3","observation_id":"02d36a0b-8188-4f58-9138-194d47c89e91","resolution":{"observed_at":"2026-08-03T22:35:20.373052Z","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":"2026-08-03T22:35:20.378506Z","title":"Esposito, U","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.378506Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:f38a8c864e99435479aa104a1910c62bb9dbc3c40e4fa387649ee12d5abc9827","observation_id":"7956b11b-b880-4569-bc8c-5b9d9ab46fa2","resolution":{"observed_at":"2026-08-03T22:35:20.378506Z","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":"2026-08-03T22:35:20.384917Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.384917Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:38c4b2b5ff68bde71fbd3e581b63e54c882f92f8590e0dd487ac2e511fdcdc24","observation_id":"19347335-550e-42d9-a931-e79a6da45118","resolution":{"observed_at":"2026-08-03T22:35:20.384917Z","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":"2026-08-03T22:35:20.389205Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.389205Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:b15b3fe1324a05a1b8ed1dcd35269e28e39e4aaa3a29edb60f532a626fc0d342","observation_id":"b649429a-f0f1-41b1-80df-4d97ed05f925","resolution":{"observed_at":"2026-08-03T22:35:20.389205Z","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":"2026-08-03T22:35:20.394118Z","title":"Liphardt, S","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.394118Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:b1ebf232eb8108a833e7d06085979beb28c0d64ec005c9be75fa6ad930adf81d","observation_id":"de07d6da-4528-4253-ad33-0fbadc6d0764","resolution":{"observed_at":"2026-08-03T22:35:20.394118Z","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":"2026-08-03T22:35:20.399796Z","title":"Ohzeki, Quantum annealing with the Jarzynski equal- ity, Phys","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.399796Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:d85f03468ba5c750579a791a8d03cdf8161cb911eb2721adb477fd76514c8893","observation_id":"1d172352-b38b-45d8-b4c9-893229cef2bf","resolution":{"observed_at":"2026-08-03T22:35:20.399796Z","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":"2026-08-03T22:35:20.404098Z","title":"Xiong, L","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.404098Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:79d29c992e85a5757c0de3640377a54fd2dbc6d5d564023549b8ae35aedb11f6","observation_id":"499e349b-ff10-49bf-9af1-b61234024cac","resolution":{"observed_at":"2026-08-03T22:35:20.404098Z","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":"2026-08-03T22:35:20.408624Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.408624Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:0f2aa7f5b9216c47ed32bc14f83676cc4d439aceebaa2b5e40cfe16da34c6860","observation_id":"a1c53bcf-e2e3-492d-a993-4f414833359c","resolution":{"observed_at":"2026-08-03T22:35:20.408624Z","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":"2026-08-03T22:35:20.413269Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.413269Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:67c6fb6585836c23a6c3ce8ccb94593b2a2b76fd0e8c180b84a6d90c87974eb0","observation_id":"4c51f5cf-80a0-46af-8ef5-39c42e4f797f","resolution":{"observed_at":"2026-08-03T22:35:20.413269Z","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":"2026-08-03T22:35:20.417842Z","title":"Douarche, S","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.417842Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:69dbdf4a43228d6864e46f13437868cbcac0cb96dcdffb7775b087369c1d9ec6","observation_id":"2cdb5a02-a152-4cdf-a5e3-bc696586c57f","resolution":{"observed_at":"2026-08-03T22:35:20.417842Z","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":"2026-08-03T22:35:20.426079Z","title":"Saira, Y","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.426079Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:61d83891165480f1c2922353be3320c1972c02f0007833dced978483cd4e427a","observation_id":"7aafaacb-a227-49f8-923d-e256f2dfb72f","resolution":{"observed_at":"2026-08-03T22:35:20.426079Z","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":"2026-08-03T22:35:20.430208Z","title":"Wimsatt, O.-P","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.430208Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:0a7ba735aaafff8abd1e7996edc85f0153d33448be333533750c94ed3b160c50","observation_id":"c315f5a4-f284-4ffd-8352-974d9665b132","resolution":{"observed_at":"2026-08-03T22:35:20.430208Z","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":"2026-08-03T22:35:20.435541Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.435541Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:69a8cba9f6c2d6a9c28c9fcfa6a493f8feb168c98d5300866f1ec3d3bb45e03d","observation_id":"f5fe3ad8-5579-4de8-a18c-2ea84a30b7f0","resolution":{"observed_at":"2026-08-03T22:35:20.435541Z","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":"2026-08-03T22:35:20.439888Z","title":"Toyabe, T","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.439888Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:3e7e3122889f71823e459b48fa69aa3a76a703111b8a288b161cc964967b44d3","observation_id":"bd83aaef-79c0-4ad9-84d9-3638d81b6e02","resolution":{"observed_at":"2026-08-03T22:35:20.439888Z","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":"2026-08-03T22:35:20.443738Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.443738Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:57aeaf5ee85cd93463c3c5e45386b58b48f74ab360671eabfe75a762621368eb","observation_id":"ee802084-0665-4506-8317-83d67a16cd00","resolution":{"observed_at":"2026-08-03T22:35:20.443738Z","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":"2026-08-03T22:35:20.447873Z","title":"Hern´ andez-G´ omez, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.447873Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:1dc32fb411e9ac50da13f8a8644f0f9083a90e1ef63312ed9290a360e28d3181","observation_id":"09689ffa-f249-4256-881f-37cd163a6d0a","resolution":{"observed_at":"2026-08-03T22:35:20.447873Z","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":"2026-08-03T22:35:20.451883Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.451883Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:1a03367086e626c458af2a53a0593439616608dcff159114715c19f678931159","observation_id":"5a3e67dd-d525-492d-87a9-9e7a485224a6","resolution":{"observed_at":"2026-08-03T22:35:20.451883Z","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":"2026-08-03T22:35:20.456526Z","title":"Press´ e and R","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.456526Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:cc1e33b6d45941595bb92ee1d59395421906c0408b0f622162614d49fc6fdf0c","observation_id":"b01c0ff0-e3aa-4d3c-89f7-7a9a75b05f97","resolution":{"observed_at":"2026-08-03T22:35:20.456526Z","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":"2026-08-03T22:35:20.461650Z","title":"Chen, On the Crooks fluctuation theorem and the Jarzynski equality, J","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.461650Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:6916f82763648790fab083adbd9e6bb267241f6fd9a68ba7b2fceac4bff7124d","observation_id":"7ec53b82-5569-4645-bff2-6d34d551cbdc","resolution":{"observed_at":"2026-08-03T22:35:20.461650Z","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":"2026-08-03T22:35:20.465679Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.465679Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:c402aca25760c178cbb86d37d656dc72dc9dfca32e9ffe25e16482eb56e8762a","observation_id":"f9e0018c-c085-4957-866a-e087701a83d9","resolution":{"observed_at":"2026-08-03T22:35:20.465679Z","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":"2026-08-03T22:35:20.470273Z","title":"Sagawa and M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.470273Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:5121b319c6834ae6b00c3c0523019be3b959873a653eb76cf6b50276c705a0dd","observation_id":"477b36e9-31b1-4d4f-b4b5-23770f16c3a6","resolution":{"observed_at":"2026-08-03T22:35:20.470273Z","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":"2026-08-03T22:35:20.474302Z","title":"Cohen and D","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.474302Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:f1e9380a9ec73cc6b5736f72b59b17d6eb823307eaf8397cb0137e8d24c5b60d","observation_id":"52803631-6662-402f-9880-0c262b6a505a","resolution":{"observed_at":"2026-08-03T22:35:20.474302Z","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":"2026-08-03T22:35:20.478231Z","title":"Cohen and D","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.478231Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:d4d3002dc15ebaaff97678a20f8df9ae489b157074ae5c5bba3ef8839bd9fc8c","observation_id":"741adf07-7b79-494a-95ce-f826e458605b","resolution":{"observed_at":"2026-08-03T22:35:20.478231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1601.01123","last_updated":"2016-01-06T10:07:55Z","snapshot_observed_at":"2026-08-14T22:15:46.796688Z","submitted_at":"2016-01-06T10:07:55Z","title":"Experimental evidence of the failure of Jarzynski equality in active baths","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1601.01123","snapshot_observed_at":"2026-08-03T22:35:20.483083Z","title":"Argun, A.-R","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.483083Z"},"links":{"cited_paper":"/paper/1601.01123","citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:4334ecb7f0593dc72610fdb800d1067e2e650e8255f2cd42253f232c1555f210","observation_id":"311d0d12-606d-4541-b183-432613c6006f","resolution":{"observed_at":"2026-08-03T22:35:20.483083Z","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":"2026-08-03T22:35:20.487898Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.487898Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:7403c5325362570a828f47949b8204b9caabdf0b30cfc3a7f2a75eb694c109a3","observation_id":"3790b1fc-4b29-4d1f-99bf-4478cb9ef7d7","resolution":{"observed_at":"2026-08-03T22:35:20.487898Z","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":"2026-08-03T22:35:20.492712Z","title":"Palmieri and D","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.492712Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:986992fb2ce5cbf2ab3fa825e22d9656262a914105d17e7571b6c8f85d907122","observation_id":"68993f5f-88ba-415c-bcfd-454e436ecc50","resolution":{"observed_at":"2026-08-03T22:35:20.492712Z","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":"2026-08-03T22:35:20.499622Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.499622Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:98c16a17733415996fe7df72de5aa83def2bf8acea6c4095b6b4150f26bd28c4","observation_id":"009b7c8c-dca6-4d45-bafe-003e3f3597cb","resolution":{"observed_at":"2026-08-03T22:35:20.499622Z","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":"2026-08-03T22:35:20.503729Z","title":"Sone, Y.-X","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.503729Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:6a0e998463e926bfc05ca81b746c4da4aff9b9a9d771b1c1402b4213834d1f9e","observation_id":"1637ad54-cd7f-44f3-8344-6f3505ea245a","resolution":{"observed_at":"2026-08-03T22:35:20.503729Z","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":"2026-08-03T22:35:20.509062Z","title":"Jarzynski, Equilibrium free-energy differences from nonequilibrium measurements: A master-equation ap- proach, Phys","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.509062Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:db324bdee08ffe6d0bfdbcfb30d19272a701f5d91126b4c1d8e740675f8ba9ef","observation_id":"ce4baf19-114c-4d6f-bf9e-fdcfdb0325e9","resolution":{"observed_at":"2026-08-03T22:35:20.509062Z","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":"2026-08-03T22:35:20.360792Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.360792Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:77d8d9b9b826fd0d71423f3bf934a7a91719515d02a6d7a3c0a430613b897a4b","observation_id":"27264511-3358-4423-ad8e-e404f5349522","resolution":{"observed_at":"2026-08-03T22:35:20.360792Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.10236","snapshot_observed_at":"2026-08-03T22:35:20.367052Z","title":"For such dynamics, the JE remains valid, provided the fric- tion kernel and noise correlations obey the fluctuation- dissipation theorem (FDT)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.367052Z"},"links":{"cited_paper":"/paper/2511.10236","citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:7e7d4bf97d87723a345a8fa4be0520bc487c800818b0148f52a59afee147e5fe","observation_id":"582ccdcf-897f-442b-bb5c-3f90b633795a","resolution":{"observed_at":"2026-08-03T22:35:20.367052Z","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":"2026-08-03T22:35:20.513732Z","title":"Jarzynski, Nonequilibrium work theorem for a sys- tem strongly coupled to a thermal environment, J","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.513732Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:f0f7cf6b8e245da9591c34196348a6c304f379c61ffc3332307285b869caf2b3","observation_id":"28949601-6626-4e59-8024-b872d7e2cd22","resolution":{"observed_at":"2026-08-03T22:35:20.513732Z","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":"2026-08-03T22:35:20.519140Z","title":"Speck and U","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.519140Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:ac597947b45cfd0b04a67631344d3b843d910f0b94203cf7dfc46bfaf07dcd28","observation_id":"54472c90-f82f-4678-b5dc-c5c41c8f0400","resolution":{"observed_at":"2026-08-03T22:35:20.519140Z","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":"2026-08-03T22:35:20.523506Z","title":"Maruyama, F","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.523506Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:06562c6328cc9568f3abf6c91a75751ceb24b27e3f7d4714136beb9b3fccc98f","observation_id":"3ab6c9df-dd9c-4acc-b1c2-64a91b22c880","resolution":{"observed_at":"2026-08-03T22:35:20.523506Z","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":"2026-08-03T22:35:20.527864Z","title":"Serreli, C.-F","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.527864Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:1e1e4e6d8c9e551c23323ad6b8327062d901faa3cb998a63315b0ddb5084ee32","observation_id":"e74f1693-6ca3-48a0-9efc-aecbfd8d5a96","resolution":{"observed_at":"2026-08-03T22:35:20.527864Z","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":"2026-08-03T22:35:20.532348Z","title":"Maes, Local detailed balance, SciPost Phys","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.532348Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:a91b7f36e0c47930677cfafc016659c5ecab7bea7c25dcaba02133da5da1d631","observation_id":"efaa7255-7eae-495b-8ed2-b37aa3e53606","resolution":{"observed_at":"2026-08-03T22:35:20.532348Z","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":"2026-08-03T22:35:20.536387Z","title":"Sch¨ oll-Paschinger and C","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.536387Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:395ed830aa3fe3f8bd812a712e7802e30ebb5bd6a8a7ce3543b08531fd3cccd2","observation_id":"cababa3d-daad-4070-bb59-89ccc93adcf9","resolution":{"observed_at":"2026-08-03T22:35:20.536387Z","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":"2026-08-03T22:35:20.540625Z","title":"Gaspard and R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.540625Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:9c76ea497b1dd72d3f288a850268ab168c10245a6a690be6e34abd6be5b1d999","observation_id":"50e5f32c-1092-4ed0-b2fd-2db3775c559a","resolution":{"observed_at":"2026-08-03T22:35:20.540625Z","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":"2026-08-03T22:35:20.544849Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.544849Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:7f75900870c5e3cfba9fe297927ecadb3f2b469948f903f911068282af558cea","observation_id":"a8a288a8-907f-4593-92fb-9d3ff05e6e06","resolution":{"observed_at":"2026-08-03T22:35:20.544849Z","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":"2026-08-03T22:35:20.549764Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.549764Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:b26dfd67568e7208f0a82e531b3cd4286301c5953962e003d5c44ad5594c731e","observation_id":"d128fd99-175d-4349-839e-5e1fa75c553a","resolution":{"observed_at":"2026-08-03T22:35:20.549764Z","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":"2026-08-03T22:35:20.554063Z","title":"Goswami, Work fluctuation relations for a dragged Brownian particle in active bath, Physica525, 223 (2019)","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.554063Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:1ffea063db22cdbb70904697c527af38c7b13f6304b7303fe0995b1668f6c230","observation_id":"ef596002-f123-413c-9d99-e234995e3006","resolution":{"observed_at":"2026-08-03T22:35:20.554063Z","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":"2026-08-03T22:35:20.558479Z","title":"Godec and D","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.558479Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:7905367923569af3f9edf5b9ac6a29a0452a985e55e6ced41e50afe4697c8c4c","observation_id":"3393f8c1-3b26-48c3-8d37-b77a6c94e73f","resolution":{"observed_at":"2026-08-03T22:35:20.558479Z","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":"2026-08-03T22:35:20.562824Z","title":"Krishnamurthy, S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.562824Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:23809bcd94792200db519124073344b66afd02ca4eae33c79a5aaaae51984ceb","observation_id":"b1b73904-a370-4ca7-85ab-bcd412fbf056","resolution":{"observed_at":"2026-08-03T22:35:20.562824Z","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":"2026-08-03T22:35:20.568758Z","title":"Reimann, Brownian motors: noisy transport far from equilibrium, Phys","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.568758Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:2c34d10fece7bd974ecb2161840945d109894806843b65198e6969c2382f97fc","observation_id":"a32ef5a6-d4d3-4846-93f7-eefc9abd4e0d","resolution":{"observed_at":"2026-08-03T22:35:20.568758Z","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":"2026-08-03T22:35:20.573784Z","title":"Bechinger, R","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.573784Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:08482c293fbc392f1fb88ab06899bb25fe753e4ed1750d96d68e060a26692e4c","observation_id":"9029b603-04dc-4703-a605-6b0ebfbb8f9d","resolution":{"observed_at":"2026-08-03T22:35:20.573784Z","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":"2026-08-03T22:35:20.578504Z","title":"Caprini, U","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.578504Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:581d9a49fbc07fe90ebe8a931f94a91ce9c2d140edf3428aa984aeacd4d28c18","observation_id":"647a06b0-6104-4cae-84ca-6001f5f3d7d6","resolution":{"observed_at":"2026-08-03T22:35:20.578504Z","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":"2026-08-03T22:35:20.582430Z","title":"Vicsek and A","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.582430Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:b074edf6715bbfd004c44cb0c0c86261c3cc09877e1e91e412fc6f6285191eaf","observation_id":"fdad559e-cc2e-4673-8d5a-d208ff9a2f91","resolution":{"observed_at":"2026-08-03T22:35:20.582430Z","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":"2026-08-03T22:35:20.586564Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.586564Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:99a44f69dfb3bceb9e083bdd4fbcae16744aad58e82a21273fbf3dbcc3215424","observation_id":"61e77d88-8ce9-4ed8-b3ca-b5d9c17557e1","resolution":{"observed_at":"2026-08-03T22:35:20.586564Z","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":"2026-08-03T22:35:20.591874Z","title":"Fodor, C","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.591874Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:ee12120df6a7c1e31e64d63401d2b4a761cfc0e4ff6cf5a046adc7a25e4d8366","observation_id":"c4f4e831-6d08-4a8d-875c-412ad9f1ea02","resolution":{"observed_at":"2026-08-03T22:35:20.591874Z","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":"2026-08-03T22:35:20.596056Z","title":"Argun, A.-R","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.596056Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:c2a364da64a07674431511ed9f96b4a75aab97d6e38c16713c53d584e46c6082","observation_id":"6180bd55-d827-45a7-b30e-557506470a21","resolution":{"observed_at":"2026-08-03T22:35:20.596056Z","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":"2026-08-03T22:35:20.600279Z","title":"Rahbar and C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.600279Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:534e8d7ee6476941827f1ff1bacba825c1609141bf919d928d14e10404ba28b2","observation_id":"e1733006-ce14-4402-8b03-2653ec1690be","resolution":{"observed_at":"2026-08-03T22:35:20.600279Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.00188","last_updated":"2025-04-30T21:06:42Z","snapshot_observed_at":"2026-08-16T04:46:30.550036Z","submitted_at":"2025-04-30T21:06:42Z","title":"Thermodynamic potentials from a probabilistic view on the system-environment interaction energy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.00188","snapshot_observed_at":"2026-08-03T22:35:20.605577Z","title":"Rahbar and C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.605577Z"},"links":{"cited_paper":"/paper/2505.00188","citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:a780c740080492e925350e70b79e48df870b9a2d15eb67428c59880f602959a2","observation_id":"3ed4d2bd-40db-48e3-9bc8-ec2998408ba8","resolution":{"observed_at":"2026-08-03T22:35:20.605577Z","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":"2026-08-03T22:35:20.610804Z","title":"Talkner and P","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.610804Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:a19acde81f0278bdccd99525a7117e794750e457eca322ed980510e1aca4927c","observation_id":"fffdf046-560a-46b4-8f0a-453aa4a4d421","resolution":{"observed_at":"2026-08-03T22:35:20.610804Z","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":"2026-08-03T22:35:20.615111Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.615111Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:5d472720d1f300238043c317a6443fd4c3a18e4624e7d4036a7fd3ccce3a86ed","observation_id":"eb37bd55-95e2-4bf4-8a63-fcf9aecb28a1","resolution":{"observed_at":"2026-08-03T22:35:20.615111Z","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":"2026-08-03T22:35:20.619771Z","title":"Bebon, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.619771Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:e8f456a8de2462b65b18f4a8f048ef476e8908ee2b7452ce5caefc2abd0f0c89","observation_id":"9ad601b0-ce0d-4275-99e9-3c2ddbea8109","resolution":{"observed_at":"2026-08-03T22:35:20.619771Z","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":"2026-08-03T22:35:20.623692Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.623692Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:08304651890d4d7df1d707c1d0feabbdc95e942412df340bc3709cd19a0764ca","observation_id":"cc07bfdd-4321-4409-ba4d-581b910f002e","resolution":{"observed_at":"2026-08-03T22:35:20.623692Z","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":"2026-08-03T22:35:20.627814Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.627814Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:7fa4cb42d2e0eedb8421eb4ff57cd744fc6c60eba2e778c1322e2fba9e4f71a1","observation_id":"bff92e40-a0cf-458e-912d-175eb720d2f0","resolution":{"observed_at":"2026-08-03T22:35:20.627814Z","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":"2026-08-03T22:35:20.633378Z","title":"Beyer and W","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.633378Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:f5ee131c8f295d8f92294bb6005a0052a0b34c7359481d2d1723b858d6364062","observation_id":"8a3fc1d5-53f5-4577-84a1-aee01911d883","resolution":{"observed_at":"2026-08-03T22:35:20.633378Z","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":"2026-08-03T22:35:20.640710Z","title":"Schmidt, C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.640710Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:a06aeb4dfeb9c82f6e86cbace8a2f82b45025332824259d00481150948da6690","observation_id":"f729eec3-fb61-438f-8f74-277c03ef186c","resolution":{"observed_at":"2026-08-03T22:35:20.640710Z","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":"2026-08-03T22:35:20.645918Z","title":"Kuang, K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.645918Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:31235fb3acfaf55981d430a4f8b9ded0b55326c2839a300f0aa556d914d2ae31","observation_id":"df69eedd-79e9-4329-b8f0-39ef8800aea0","resolution":{"observed_at":"2026-08-03T22:35:20.645918Z","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":"2026-08-03T22:35:20.650601Z","title":"Casert and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.650601Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:e5a18f3c423a9fb4dd3978bbf006cb6f45703ba492eab68afb06f32247dbfbfe","observation_id":"148d267a-e122-4d50-a49b-67ee8e3603c9","resolution":{"observed_at":"2026-08-03T22:35:20.650601Z","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":"2026-08-03T22:35:20.655950Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.655950Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:099ee2d6112fe365be86229c75939941898fae772baceb1bf6cb33451d1fa485","observation_id":"a7eda141-a3e2-4694-8b31-54b0c56f050f","resolution":{"observed_at":"2026-08-03T22:35:20.655950Z","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":"2026-08-03T22:35:20.660540Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.660540Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:d15848804a9ec370c3a7af80d13f6929d18fbdd7ff91fade137942ae30b65e90","observation_id":"8f55529d-059d-43ae-817c-3bfe0e446594","resolution":{"observed_at":"2026-08-03T22:35:20.660540Z","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":"2026-08-03T22:35:20.665051Z","title":"Serra, A","venue":null,"work_id":null,"year":2079},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.665051Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:c4e4eedc4ffa9d51f2cdd2581954ce92f7f980c9ff426f77e7cc1ac62c6aa25c","observation_id":"d87b118b-cc25-4c1e-8963-c113ebf271cc","resolution":{"observed_at":"2026-08-03T22:35:20.665051Z","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":"2026-08-03T22:35:20.669737Z","title":"Serra, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.669737Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:3d910c3210ee73dc5e5551266b8feb5b3b561dac1974e3ff7cc259590cedd9ce","observation_id":"afdf5b38-04da-4949-bfd1-3a7ccaaad6c1","resolution":{"observed_at":"2026-08-03T22:35:20.669737Z","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":"2026-08-03T22:35:20.674488Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.674488Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:ed6ac54e45ee009baeee04f5708a09d2be8b82c3bed6846b87048c504e3e31ca","observation_id":"6d269b59-dce9-48bb-be62-073ee02045e0","resolution":{"observed_at":"2026-08-03T22:35:20.674488Z","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":"2026-08-03T22:35:20.678829Z","title":"Kieninger and B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.678829Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:10246c263cc78032355a8bbb31d5b62981f10c07b4e0c74e279ae3600edc9a8a","observation_id":"0e458841-2fb2-490d-b603-08004d106552","resolution":{"observed_at":"2026-08-03T22:35:20.678829Z","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":"2026-08-03T22:35:20.683804Z","title":"Whitelam, Improving noisy free-energy measurements by adding more noise, Phys","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.683804Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:a44b555c18f9eddcd9a47715c4b9992b333decbda15f03b34a87a1a4671f1c03","observation_id":"d3644f14-a7d4-4f54-b224-37536b723f58","resolution":{"observed_at":"2026-08-03T22:35:20.683804Z","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":"2026-08-03T22:35:20.688578Z","title":"H¨ anggi, P","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.688578Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:30ddff7dc836332d6a61af8bfb7f9fd5e2aaccd56ff56a89fdfd01bcee83c7a3","observation_id":"1657bacd-df47-443e-8ea3-5133da02c397","resolution":{"observed_at":"2026-08-03T22:35:20.688578Z","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":"2026-08-03T22:35:20.693013Z","title":"Li and Z","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.693013Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:9dfe6609ba0540836a469a8080a3cdaeeaa4b676ac969eb0037b5ce809a6d9c8","observation_id":"46fd1d59-26e7-4829-821f-e331a7f82a94","resolution":{"observed_at":"2026-08-03T22:35:20.693013Z","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":"2026-08-03T22:35:20.698669Z","title":"Saito, Relaxation in a bistable system, J","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.698669Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:cda85c63bd8547339195aa945467c21eda2ca60c0ec97d4124f214cea853614d","observation_id":"89ed058b-718f-4f0b-8ff0-62c0e5d74977","resolution":{"observed_at":"2026-08-03T22:35:20.698669Z","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":"2026-08-03T22:35:20.705047Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.705047Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:ca053ff1a38a3756148e667fe0eb3b17bc303860ca0e2e2c1cb4cb6653eb25f0","observation_id":"52a09e24-1217-4500-8f87-946fe025bd73","resolution":{"observed_at":"2026-08-03T22:35:20.705047Z","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":"2026-08-03T22:35:20.709282Z","title":"Zwanzig,Nonequilibrium statistical mechanics(Ox- ford university press, 2001)","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems","version":3},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-03T22:35:20.709282Z"},"links":{"citing_paper":"/paper/2511.10236"},"observation_digest":"sha256:3bc832b35d5b9d477d0aa59a88a2a2cf806a1bd75b4e7b2da5328c7a1cd7f49b","observation_id":"60e1b86f-e8af-49bb-b1f4-13dfe990753b","resolution":{"observed_at":"2026-08-03T22:35:20.709282Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.10236","last_updated":"2026-06-17T04:20:27Z","latest_version":3,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-06T12:08:49.667219Z","submitted_at":"2025-11-13T12:08:21Z","title":"Exact and variational identities for free energy differences in strongly coupled open systems"},"reference_resolution":{"displayed":73,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":72,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":73},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 1 inbound Pith citation observation for arXiv:2511.10236."}