{"as_of":"2026-08-20T17:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6ce02582d1eb5e9e6ee9d07342ff46a689194b556d48430b1a25860c74d5fc82","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T21:11:14.330202Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.16188/citation-record","integrity":"/paper/2607.16188/integrity","json":"/paper/2607.16188/citation-record.json","paper":"/paper/2607.16188"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T21:11:11.609805Z","title":"Local feedback stabilization and bifurcation control, i","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:11.609805Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:e2d7e1e03f59648230395db06fcabc7cd81f3802afd715ea0b3a096057fa88ba","observation_id":"b45ee3d9-45d4-42f2-ac99-8db9b786a718","resolution":{"observed_at":"2026-08-01T21:11:11.609805Z","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":"2026-08-01T21:11:11.720144Z","title":"Local feedback stabilization and bifurcation control, ii","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:11.720144Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:f56646d5de1c20eadb6e9532ac185594d51f3d238e04b3f5a96f1ef7dd57a307","observation_id":"659c840b-3fd7-4c33-ac64-5d237088b50d","resolution":{"observed_at":"2026-08-01T21:11:11.720144Z","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":"2026-08-01T21:11:11.813971Z","title":"Birkh¨ auser, 2012","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:11.813971Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:2c33af1a31d471f34f7011c7fab3a52caae92bae10d281932ace478991235199","observation_id":"5db6f3eb-80e7-408a-b15a-0ebf5c7cabb4","resolution":{"observed_at":"2026-08-01T21:11:11.813971Z","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":"2026-08-01T21:11:11.918994Z","title":"On the optimal stabilization of nonlinear systems.Journal of Applied Mathe- matics and Mechanics, 25(5):1254–1266, 1961","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:11.918994Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:6a4075f0493caa984836d6d2757316a0893ae52ae81dcd00a7022926e7d7bf0e","observation_id":"487b878c-dcc3-42d9-8ae8-7a50e861d313","resolution":{"observed_at":"2026-08-01T21:11:11.918994Z","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":"2026-08-01T21:11:12.010577Z","title":"Optimal control in soft and active matter.Annual Review of Condensed Matter Physics, 17, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.010577Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:8d9b4f29c87b0d25d94fafb9c8d0f60830bb544dd2da5820af17eb0155418534","observation_id":"7cd945ab-867e-4d20-ae77-d46dd04bd074","resolution":{"observed_at":"2026-08-01T21:11:12.010577Z","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":"2026-08-01T21:11:12.191737Z","title":"Information bottleneck in molecular sensing.PRX Life, 1(2):023005, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.191737Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:74c97c6da2d4e0902ddb469a3cee372c2ef5a50efe7ae11fa6120d3ce743e925","observation_id":"b65b03a6-4203-4cd1-b7b2-d1f449c27956","resolution":{"observed_at":"2026-08-01T21:11:12.191737Z","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":"2026-08-01T21:11:12.284015Z","title":"Wiley, 1988","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.284015Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:dd4672f09ba074ebaae04be54c7ef2b5c0774b1cf03d6199a9e64c05fd2f522e","observation_id":"6237ef0c-ac7d-4cba-889b-386d592c1470","resolution":{"observed_at":"2026-08-01T21:11:12.284015Z","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":"2026-08-01T21:11:12.360938Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.360938Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:598369d67d53b2fc73c41536145141a2bbcb14aac681e61b6e6c82e89508fa22","observation_id":"aa7fd79f-2384-464c-b2bb-dec52e583650","resolution":{"observed_at":"2026-08-01T21:11:12.360938Z","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":"2026-08-01T21:11:12.447546Z","title":"Additive noise destroys a pitchfork bifurcation.Journal of Dynamics and Differential Equations, 10(2):259–274, 1998","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.447546Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:ad3a3959507b7bd9878a560ddcdf7247153490a536087fbbd4fb35393df420bd","observation_id":"8d97d832-13bf-4ce9-8cb4-587b3bfee0c1","resolution":{"observed_at":"2026-08-01T21:11:12.447546Z","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":"2026-08-01T21:11:12.501271Z","title":"Bistability, bifurcations, and waddington’s epigenetic landscape.Current Biology, 22(11):R458–R466, 2012","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.501271Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:fa016edbc6ab73011c4de9c4d66dedb6629db9f007a96311a7b5c8beb26ce688","observation_id":"bd2a0830-bcb5-4737-bb20-6076ad440768","resolution":{"observed_at":"2026-08-01T21:11:12.501271Z","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":"2026-08-01T21:11:12.555535Z","title":"On small random perturbations of dynamical systems.Russian Mathematical Surveys, 25(1):1–55, 1970","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.555535Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:eda0ae260713f9aae4923782a1189b63878b194fe8d97bf6350775dedf5cb66b","observation_id":"936143a2-d5de-4beb-b77f-72a20aa2104b","resolution":{"observed_at":"2026-08-01T21:11:12.555535Z","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":"2026-08-01T21:11:12.606608Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.606608Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:7062005a3a6bbc28a90572d562bdc99f6352dc8d472887d783653d5b5ac04724","observation_id":"c19029c1-8b54-4a0f-8e90-60651319c0f9","resolution":{"observed_at":"2026-08-01T21:11:12.606608Z","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":"2026-08-01T21:11:12.657451Z","title":"Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold.Journal of Statistical Mechanics: Theory and Experiment, 2017(9):093208, 2017","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.657451Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:241892f0ac8c89f655596a533d9738624108d1f87bb8d62ee7f85b47d5a79576","observation_id":"6982e7da-4a47-42c6-b32a-b51470302669","resolution":{"observed_at":"2026-08-01T21:11:12.657451Z","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":"2026-08-01T21:11:12.709756Z","title":"Probing the limits to positional information.Cell, 130(1):153–164, 2007","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.709756Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:6999799a06de3bcb60859fd2db030101d8d3a59c79b9fcd8a8200042a9b2f35f","observation_id":"bfc576ae-4ace-4d47-9efc-000635e7111b","resolution":{"observed_at":"2026-08-01T21:11:12.709756Z","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":"2026-08-01T21:11:12.783707Z","title":"Springer-Verlag, New York, 1983","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.783707Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:0d077715e88d7520b0c3401b96a7125d84c9a39165f96946ed730722253ca188","observation_id":"9511cfd8-ee43-4ae3-9ebf-4f5fdba59fd8","resolution":{"observed_at":"2026-08-01T21:11:12.783707Z","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":"2026-08-01T21:11:12.856443Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.856443Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:2d014e5794ef87a9d4928c6627d9cb153367d9c0cf7dfc78da1762284887fa4c","observation_id":"39c9df15-ee37-425b-b7f3-883323eef0d5","resolution":{"observed_at":"2026-08-01T21:11:12.856443Z","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":"2026-08-01T21:11:12.918828Z","title":"Bifurcation and normal form of nonlinear control systems, part I.SIAM Journal on Control and Optimization, 36(1):193–212, 1998","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.918828Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:b666745ca10e94de886103fcedae7f30bebd2b8072fdf3445af7b44ce817c3e7","observation_id":"ce053a8f-4ab7-494e-bfff-426bb3cd278f","resolution":{"observed_at":"2026-08-01T21:11:12.918828Z","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":"2026-08-01T21:11:12.962494Z","title":"Courier Corporation, 2004","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:12.962494Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:404da9a20afa1d407b50c08c0ea3ce2cf6600fe4ffbfc44a2b3c54eceedb55ef","observation_id":"a7b27b28-5c23-4d5b-8345-a28504c36082","resolution":{"observed_at":"2026-08-01T21:11:12.962494Z","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":"2026-08-01T21:11:13.027415Z","title":"Khalil, and John O’Reilly.Singular Perturbation Methods in Control: Analysis and Design","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.027415Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:21c70859beddf11fa0b7a01eade355fe583b4ca90db00859f7efb440ab3d060a","observation_id":"820043a6-150d-437e-9b52-59d90628945f","resolution":{"observed_at":"2026-08-01T21:11:13.027415Z","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":"2026-08-01T21:11:13.080447Z","title":"Al’brekht’s method for time varying, finite horizon optimal control problems","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.080447Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:25177ec8a70ec30d29c13f8497e7d19de11f9eedf6baebc596c447b4b2438d11","observation_id":"8c8b34af-17ba-4620-bc29-56558e3eaf98","resolution":{"observed_at":"2026-08-01T21:11:13.080447Z","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":"2026-08-01T21:11:13.129473Z","title":"Krener, Wei Kang, and Dong Eui Chang","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.129473Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:c95b095e476d8a401a9a789fa44397f0b247fa5a442ce3da12bfaa26224df1ed","observation_id":"4f18f702-d6a7-471e-bc40-29726e91d7b8","resolution":{"observed_at":"2026-08-01T21:11:13.129473Z","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":"2026-08-01T21:11:13.205020Z","title":"Nonlinear aeroelastic analysis of airfoils: bifurcation and chaos.Progress in Aerospace Sciences, 35(3):205–334, 1999","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.205020Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:9e1cdb9658e9aa418846fe22303d008ac8fb60d6d73e6f4adaf04120d095f879","observation_id":"6d78549b-6bfd-4ffc-8328-22124cc9a445","resolution":{"observed_at":"2026-08-01T21:11:13.205020Z","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":"2026-08-01T21:11:13.281154Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.281154Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:2ab7aca5673b6d7808fc2415846eecdacc74079a416233c76aaf7995049ce5db","observation_id":"05a6c34e-313a-4512-81cf-f0591a6a7261","resolution":{"observed_at":"2026-08-01T21:11:13.281154Z","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":"2026-08-01T21:11:13.350614Z","title":"Are biological systems poised at criticality?Journal of Statistical Physics, 144(2):268–302, 2011","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.350614Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:212f708b1fc2983bd7dba01f426c5d08a73087b83a7b0cbecef99447a6eec5ae","observation_id":"073e15de-dd00-4ea7-a713-6103e35f19d2","resolution":{"observed_at":"2026-08-01T21:11:13.350614Z","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":"2026-08-01T21:11:13.400609Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.400609Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:30bb92273961d59504d33523a011894083592fd1da2acd859ad91dc12d1f9177","observation_id":"46d50d90-b009-4180-aaba-248ad8ce2a80","resolution":{"observed_at":"2026-08-01T21:11:13.400609Z","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":"2026-08-01T21:11:13.459613Z","title":"Optimal control of gene regulatory networks for morphogen-driven tissue patterning.Cell Systems, 14(11):940–952, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.459613Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:15c81b15e8b18ac318fc385e99585f81162b4e3de7deb7303b08eccc00777a70","observation_id":"336dd1f2-5f49-44f3-95a1-c52ed942be8f","resolution":{"observed_at":"2026-08-01T21:11:13.459613Z","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":"2026-08-01T21:11:13.514976Z","title":"Routledge, 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.514976Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:4678c25a6f1ed9e49526705b7887fc8aad9f38cf4d1488b9729607c1e13374f4","observation_id":"49b153e1-69c4-4392-9990-0d8c5314f751","resolution":{"observed_at":"2026-08-01T21:11:13.514976Z","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":"2026-08-01T21:11:13.601089Z","title":"Long time versus steady state optimal control.SIAM Journal on Control and Optimization, 51(6):4242–4273, 2013","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.601089Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:764cdff55cd88aca355d713049fea0fab2b88c0fdff5a283203dd7d9edff60ea","observation_id":"f2d1de61-20ff-4c94-ba2b-152ed7bbaca4","resolution":{"observed_at":"2026-08-01T21:11:13.601089Z","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":"2026-08-01T21:11:13.649811Z","title":"Remarks on long time versus steady state optimal control","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.649811Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:423ea2dbda2644baad86ec1657a4f0141d5c3bb9d16324b3f63124d908e36010","observation_id":"0cd20f8d-807d-4aca-bc2e-651d337938d2","resolution":{"observed_at":"2026-08-01T21:11:13.649811Z","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":"2026-08-01T21:11:13.706110Z","title":"Ge- ometry of gene regulatory dynamics.Proceedings of the National Academy of Sciences, 118(38):e2109729118, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.706110Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:a6ba14a98cd7c1c46e636730a83440cb131201bd72eed6981d17f1b61183c922","observation_id":"d60e8c73-9219-406b-b538-e245c9149381","resolution":{"observed_at":"2026-08-01T21:11:13.706110Z","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":"2026-08-01T21:11:13.771716Z","title":"Front interaction and nonhomoge- neous equilibria for tristable reaction-diffusion equations.SIAM Journal on Applied Mathe- matics, 53(6):1669–1685, 1993","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.771716Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:a1a05b1039a6bd7417afc563562accdc1e81678602ae3b2c3b61f03f234197f8","observation_id":"9e2a59fe-4caa-4402-ba6c-832624f44fda","resolution":{"observed_at":"2026-08-01T21:11:13.771716Z","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":"2026-08-01T21:11:13.835409Z","title":"Statistically derived geometrical landscapes capture principles of decision- making dynamics during cell fate transitions.Cell Systems, 13(1):12–28, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.835409Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:3f91f5184c3cde04fe954895eedb4b478865cc8d26b682b693f1ebf13034c14a","observation_id":"754b8d97-a099-46e1-966c-84d8e02e8d85","resolution":{"observed_at":"2026-08-01T21:11:13.835409Z","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":"2026-08-01T21:11:13.912973Z","title":"The turnpike property in nonlinear optimal control—a geometric approach.Automatica, 134:109939, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:13.912973Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:3cb2f2b47f1015d2ffcae200545bf3c960b9d145ffed0cab149261dd55efe955","observation_id":"b920c53c-ba8e-4243-9f6a-d1b6f7269cf6","resolution":{"observed_at":"2026-08-01T21:11:13.912973Z","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":"2026-08-01T21:11:14.016302Z","title":"van der Schaft","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:14.016302Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:ddc6ad2e3da0d80b2d9863fd478f15a3379ad737eda012a459c5dc7d6bfc1dc7","observation_id":"9271a872-aad0-4510-b9dd-f78b9518ac3b","resolution":{"observed_at":"2026-08-01T21:11:14.016302Z","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":"2026-08-01T21:11:14.056582Z","title":"Optimal control of short-time attractors in active nematics.Physical Review Letters, 132(21):218302, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:14.056582Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:43b840ff9b7a238172f6d50cfbdd996d343bd8a8fa5a9800f83d8e55a8615e53","observation_id":"f0156d92-f202-4ea1-929d-39f0e02e32db","resolution":{"observed_at":"2026-08-01T21:11:14.056582Z","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":"2026-08-01T21:11:14.117398Z","title":"The turnpike property in finite-dimensional nonlinear optimal control.Journal of Differential Equations, 258(1):81–114, 2015","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:14.117398Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:7a58dc3b46d01c296f72b13b1b033bc7a3f5b57547baa5eb9ae7a939bea2926d","observation_id":"e71bd08e-c0a3-4a8e-9356-a75878a6efb2","resolution":{"observed_at":"2026-08-01T21:11:14.117398Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.20342","last_updated":"2026-06-29T10:32:29Z","snapshot_observed_at":"2026-08-16T12:46:43.051471Z","submitted_at":"2025-03-26T09:12:52Z","title":"Turnpike in optimal control and beyond: a survey","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.20342","snapshot_observed_at":"2026-08-01T21:11:14.189810Z","title":"Turnpike in optimal control and beyond: a survey","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:14.189810Z"},"links":{"cited_paper":"/paper/2503.20342","citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:385c258274764a4e1a654f8b1562fef6dd24591e9e10f8d3b0e657ec79b09e35","observation_id":"e05b6d36-fb86-4381-aaea-fa51dda7c304","resolution":{"observed_at":"2026-08-01T21:11:14.189810Z","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":"2026-08-01T21:11:14.249497Z","title":"Waddington.The Strategy of the Genes","venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:14.249497Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:6f37c7b6b34cdd6885057a41732d4269c499792de517e794becb47134b974ffc","observation_id":"baa4a862-24ce-4952-8d06-07e144ffe7db","resolution":{"observed_at":"2026-08-01T21:11:14.249497Z","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":"2026-08-01T21:11:14.330202Z","title":"Quantifying the Waddington landscape and biological paths for development and differentiation.Proceedings of the National Academy of Sciences, 108(20):8257–8262, 2011","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T21:11:14.330202Z"},"links":{"citing_paper":"/paper/2607.16188"},"observation_digest":"sha256:30f0277e510e216013a873af672d60a6f598a32270d98fecf803d11846c6e7e4","observation_id":"610b0070-f834-49f5-8554-2a6b040c04e1","resolution":{"observed_at":"2026-08-01T21:11:14.330202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.16188","last_updated":"2026-07-17T17:59:13Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-19T04:32:00.383594Z","submitted_at":"2026-07-17T17:59:13Z","title":"Optimal control of symmetry-breaking dynamics near criticality"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":39,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":39},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.16188."}