{"as_of":"2026-08-18T15:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3c11b8cda09166641127837f6e8d9ff9e4bbdca21fce9ec952483c11b1dd4cef","coverage":[{"denominator":76,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":76,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-19T03:57:38.590586Z","state":"measured"},{"denominator":76,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":76,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2507.12575/citation-record","integrity":"/paper/2507.12575/integrity","json":"/paper/2507.12575/citation-record.json","paper":"/paper/2507.12575"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Allaire and M","venue":null,"work_id":"7e157425-c253-4b6e-9491-c0bf5f2f5b74","year":2007},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:2f3213ddf1c7531233d4a1fc6db462f39f095f1e4461e7f4fc4dbd5da57f6fd0","observation_id":"25128e03-2a46-4e26-958c-cfd20dcb51a5","resolution":{"observed_at":"2026-05-19T04:02:02.902631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Allen and D","venue":null,"work_id":"2ca2f1f1-b989-407c-b319-9b02a540f0b9","year":2017},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:86a9a8e7b7e50465c18ca3b23c216ea83c2e6d335d2dacd2147207f845cd3a77","observation_id":"24541593-fffd-4d82-a3ce-d850b85f5b08","resolution":{"observed_at":"2026-05-19T04:02:02.921733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Aristoff, Generalizing Parallel Replica dynamics: Trajectory fragments, asynchronous computing, and PDMPs , SIAM/ASA Journal on Uncertainty Quantification, 7 (2019), pp","venue":null,"work_id":"ad25ef62-85dc-44e5-baae-7729c127c65e","year":2019},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:a95d34103f77637a0ccd14966ccb48735c116c59e33f26321f1deca51564e742","observation_id":"83690790-4f71-405d-b58c-83840f41700c","resolution":{"observed_at":"2026-05-19T04:02:02.900589Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Aristoff, M","venue":null,"work_id":"0b4d224f-c9b2-4848-99f6-d4d9f730c7e8","year":2023},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:df9e636261c8cf2a6a6ac571e586bea2330071d21c5ccb8d9f8ce59166734868","observation_id":"cb7d4268-73fa-4c06-b364-947bd5145001","resolution":{"observed_at":"2026-05-19T04:02:02.919564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ashbaugh and R","venue":null,"work_id":"a12633b7-3ec4-41e6-a60e-f3c3f35f2ec0","year":1992},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:b58de66c710819da0e8db4651c18e3b62881fafa405668a7cfed14b822005217","observation_id":"8252b8d9-4e92-4299-bb0f-d5dfe287f21c","resolution":{"observed_at":"2026-05-19T04:02:02.910000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Binder, T","venue":null,"work_id":"7347c5de-5435-41cb-ac4d-2f0e48251212","year":2015},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:857e259594f493f424658c66c62eed90bbd717d63ce7055c851fb83b68b606a8","observation_id":"53d1e3c3-c582-4bad-83bf-d8a290a302fb","resolution":{"observed_at":"2026-05-19T04:02:02.912419Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Blassel, Paper code repository: https: // github","venue":null,"work_id":"5b91e17a-c846-406b-9503-cd0b7ebf0a42","year":2025},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:c1d878af14060c73333f7a850496dd5efd5ed73cb6e02ac00df08760653a4958","observation_id":"ea79f53f-f4c1-468f-b539-77e683284beb","resolution":{"observed_at":"2026-05-19T04:02:02.914684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"org/ records/ 15727493","venue":null,"work_id":"4cf0d2b9-f30c-4113-bcd4-877f26974064","year":2025},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:49069bb0fa35ca26d2c3e8eab22e6e03400869943f0065bf716db38bbd1e1865","observation_id":"412dbaf9-59be-4098-8508-d23361ed82f4","resolution":{"observed_at":"2026-05-19T04:02:02.898034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2501.16082","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Blassel, T","venue":null,"work_id":"5ef284e5-3e31-4c7d-8991-f99a366e0682","year":2024},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:9934f6576a2be296b61473e65279318e441971dcefd20be6d69919a9b426464d","observation_id":"c9da447c-6f85-49f2-932f-11f9ecae7818","resolution":{"observed_at":"2026-05-19T04:02:02.007629Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bolhuis, C","venue":null,"work_id":"a82fa6c0-3ad8-450f-8cf2-55a55573e3b5","year":2000},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:f64cb1414afc5f351c7363be673d0dfddc114846a43bd80f8ce2baccd47d3527","observation_id":"f875c8e7-621b-4b57-8fe6-26dc6f4ad894","resolution":{"observed_at":"2026-05-19T04:02:02.904837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bovier, V","venue":null,"work_id":"941f87cb-8bbe-44cc-9671-264930634d35","year":2005},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:350b3c0ab53f827adb318efdbcc95d6d5be2644cf6f01a560db5dc7204fde248","observation_id":"90da497d-576d-4ea9-bcd5-b1824fef9e2f","resolution":{"observed_at":"2026-05-19T04:02:02.907521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Chen, Collective variable-based enhanced sampling and machine learning , The European Physical Journal B, 94 (2021), pp","venue":null,"work_id":"1aac931c-2be8-4f7d-94be-67ef5b82788f","year":2021},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:b1e74f58860b78ee82e4b5d7a6ce83156caedddcb1aea90abf6ff03ac14ca522","observation_id":"14243a58-c0df-4ac9-b025-e9ec35cd227e","resolution":{"observed_at":"2026-05-19T04:02:02.927046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Chenais, On the existence of a solution in a domain identification problem , Journal of Mathematical Analysis and Applications, 52 (1975), pp","venue":null,"work_id":"cf7022e1-9001-4838-a531-72d4a40f423f","year":1975},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:32b7aa247e05f14d6181d854d9e51617ef07320de723ca8d212720ea03330930","observation_id":"9f705299-34a2-4b67-ba40-4e1e5d743903","resolution":{"observed_at":"2026-05-19T04:02:02.917342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Comer, J","venue":null,"work_id":"15d93018-c4cf-4610-9a5f-17cc95900bb1","year":2015},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:6731e13d3bb68fe4b4ce0213303f887f6eff0aa8948d569993da435cbe26d2ca","observation_id":"028e72d3-b882-4aa8-acf7-938f9e5297e9","resolution":{"observed_at":"2026-05-19T04:02:02.924404Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.02554","last_updated":"2025-03-13T05:31:44Z","snapshot_observed_at":"2026-08-16T14:04:02.628353Z","submitted_at":"2024-04-03T08:21:03Z","title":"Optimal Riemannian metric for Poincar\\'e inequalities and how to ideally precondition Langevin dynamics","version":2},"cited_work":{"arxiv_id":"2404.02554","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.02554","snapshot_observed_at":"2026-06-28T20:52:37.383337Z","title":"Optimal Riemannian metric for Poincaré inequal- ities and how to ideally precondition Langevin dynamics","venue":null,"work_id":"a95d31ea-da6d-438b-81a5-3a4aefbf904d","year":2024},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"cited_paper":"/paper/2404.02554","citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:b64aec91f4ab6b868522e922923394b69df16c2b9547371d1afa01d30c4de925","observation_id":"37f6e1ae-33a1-46e7-a4a9-e9cb14b5544b","resolution":{"observed_at":"2026-05-19T04:02:02.003977Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Dapogny, P","venue":null,"work_id":"1f9df194-15ce-4306-9bea-c2f62876fcbb","year":2018},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:68c1a1f6781268697a92a1ec201554649380c91192ca11233b93af4c9b4383df","observation_id":"0a9040fb-d339-48db-b682-deb482d77b98","resolution":{"observed_at":"2026-05-19T04:02:02.774502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"De Gournay , Velocity extension for the level-set method and multiple eigenvalues in shape optimization, SIAM Journal on Control and Optimization, 45 (2006), pp","venue":null,"work_id":"3b7b0828-0e9d-48b8-8a77-4dff5b9f1727","year":2006},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:c37d1b60d6d84aac09af01a63345fd1b73a42f55bc864b978e4b0c2e20371c60","observation_id":"8b465dee-b36a-44f9-bcfe-7506a5455e41","resolution":{"observed_at":"2026-05-19T04:02:02.769703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Del Moral and L","venue":null,"work_id":"5a3938e4-41da-4a10-9da1-a82f1d852f96","year":2000},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:6d3765682ffae3aac6696830fb8caf1419390deb0c7340223bd93231b780b4fd","observation_id":"068f1fb1-2bcf-466f-ac28-ebcf727738ac","resolution":{"observed_at":"2026-05-19T04:02:02.766651Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Di Ges`u, T","venue":null,"work_id":"14d3011c-3c31-4b4c-8e34-d3042d9cc61a","year":2019},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:cee5221887e106cbcb8e944a244899bedc084fb51f99d9c3d13312cb730d65ef","observation_id":"1bcfd2a0-8da6-4add-b386-5b4cc5ad21e0","resolution":{"observed_at":"2026-05-19T04:02:02.895697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9beeb77a-fd20-4dc7-9120-5599e2a4f243","year":2020},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:6d4674d852f3297c69cb50f298a38e0b9b78a35463c3bfcdd760c459c3168283","observation_id":"079947a1-2291-490e-8ea1-f701f791c143","resolution":{"observed_at":"2026-05-19T04:02:02.893201Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Evans, Partial Differential Equations, vol","venue":null,"work_id":"d00b02d2-aea3-4aab-99ff-93a5e4a45cb3","year":2022},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:44d1399cd5446ec4ec2efab35fd82c33b52a8b277e553253e898a5bb314dfd2d","observation_id":"15d46f0a-0ecf-4713-a7e5-920d418bbd26","resolution":{"observed_at":"2026-05-19T04:02:02.891241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ferguson, Machine learning and data science in soft materials engineering , Journal of Physics: Condensed Matter, 30 (2018), p","venue":null,"work_id":"4383b316-1574-45fc-a380-0f3ece95aef0","year":2018},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:dddde5c1c3011035809dcd6b4168c9cf74e3092c38800b1791c5f92a37939e1b","observation_id":"1f5a772c-d24c-46b1-bbce-ef708d8570cb","resolution":{"observed_at":"2026-05-19T04:02:02.888881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Fiorin, M","venue":null,"work_id":"fb35ad22-318a-4344-b3e6-a2bab56d8145","year":2013},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:0d5b56ba017be272c0953deb7e0dac4b2b1cfbc1bc767fd67546660596d48915","observation_id":"9dae002d-6ed5-47aa-b14e-6f5cf7e5467e","resolution":{"observed_at":"2026-05-19T04:02:02.886789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Gkeka, G","venue":null,"work_id":"df48d7e5-9a40-4e49-aa3b-36c2527d30df","year":2020},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:1fb1548eed25f14c3aa10606a9c698546178315730fc592e2e9aaa303264b869","observation_id":"91bd0512-39d1-4817-8806-fd522943d619","resolution":{"observed_at":"2026-05-19T04:02:02.884468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Glielmo, B","venue":null,"work_id":"0366781f-9e3f-48b2-ba1b-f784ca324a96","year":2021},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:a04aadfc82cd3835c322d24235a67b608d068a22df4d82c5bfd452a6f02f19f2","observation_id":"827e1935-91fe-4603-acc6-53a883ea5115","resolution":{"observed_at":"2026-05-19T04:02:02.882352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Gonz ´alez, Measurement of areas on a sphere using Fibonacci and latitude–longitude lattices, Mathematical Geosciences, 42 (2010), pp","venue":null,"work_id":"068fd3f8-6bbe-4245-92fa-3a8c2ed33190","year":2010},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:d9aa9581b0f8fe1731ae373e814d401fb62e233bb64872bfadd5e6f2765cd994","observation_id":"be593160-8e4d-400f-8479-f29b8aa5e795","resolution":{"observed_at":"2026-05-19T04:02:02.880305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Grisvard, Elliptic problems in nonsmooth domains , vol","venue":null,"work_id":"35fbbe0f-f371-4c07-a11c-054ea3b6835f","year":2011},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:e8779782966ee54a069d511b592ec33571f62537f25120310affd85c8927f215","observation_id":"5ed9c0b1-bffa-42c7-98e9-25a27a27d509","resolution":{"observed_at":"2026-05-19T04:02:02.878171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hadamard, M´ emoire sur le probl` eme d’analyse relatif ` a l’´ equilibre des plaques ´ elastiques encastr´ ees, vol","venue":null,"work_id":"1094ba2e-31b0-4b74-abb3-9a648beec16d","year":1908},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:80e9070d1f414c22461327212b574dd8582a75c7bccaae33b5b15875497172c9","observation_id":"4dc955d4-be8d-4fed-84a0-fbaa4ed2c061","resolution":{"observed_at":"2026-05-19T04:02:02.875854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Haug and B","venue":null,"work_id":"cb847b1e-435b-443d-ae6c-fd2916e6783e","year":1980},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:fe04284fe77e1d5d87839d08196d05039477ac5f25c85e8f28fe4586265889c3","observation_id":"5284f010-4c00-4b30-b0a3-8810c99f815f","resolution":{"observed_at":"2026-05-19T04:02:02.873737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"317c4bac-3b46-4164-b74b-17a3473091d9","year":1980},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:6927562cf06afbe7328e13b3a23d6dfdc9cf9bba9fa6ac84ae86359f28d7ca23","observation_id":"3088e751-b21c-4771-995d-13947988069e","resolution":{"observed_at":"2026-05-19T04:02:02.871331Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7d741411-ffa3-425b-b98b-50af7dcf2513","year":1982},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:caaff53bbe995f3510136021668a634f05eec5ee3b0e0720de81732024aa5317","observation_id":"57916b95-6f4a-46d1-beec-f93540ff52db","resolution":{"observed_at":"2026-05-19T04:02:02.869043Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hecht, O","venue":null,"work_id":"d4cc4d35-d367-442e-a103-49cb39e262f9","year":2005},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:8eb75fb686660fdf5cee0648d3bf5bef7e54fc564d51067d7cf1ec1bc69658b1","observation_id":"c351f713-70b2-4ab8-a65c-fe8343bf787b","resolution":{"observed_at":"2026-05-19T04:02:02.866995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"H´edin and T","venue":null,"work_id":"abecbfc2-f726-432d-bfd5-4161cdf99dcb","year":2019},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:7b8561def21a948390be2fe7d3f7f79402119855aa3754f0dcbba55c74de15de","observation_id":"f1866764-97ea-48f0-af3a-4f18f5bad4a0","resolution":{"observed_at":"2026-05-19T04:02:02.864768Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Helffer and F","venue":null,"work_id":"15721bc5-66dd-4e57-8c01-ee985e13462d","year":2004},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:26dbddcbb4d76bb200a425e6f5ba601c5e20a73b3ead901792030cac76261168","observation_id":"86328695-2723-48fd-a111-dd71ad56e837","resolution":{"observed_at":"2026-05-19T04:02:02.862601Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Helffer and J","venue":null,"work_id":"c909401a-7f6a-47db-9b78-c68c195e98b8","year":1985},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:2934213f39148de725ae552fdc9cd3d4423718ce0701dac8e94f12c1818330bf","observation_id":"a5326565-d671-41b3-b00b-c51aa194b034","resolution":{"observed_at":"2026-05-19T04:02:02.860474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Henrot, Extremum Problems for Eigenvalues of Elliptic Operators , Springer Science & Business Media","venue":null,"work_id":"76de07b5-f5cb-461a-a657-e00b7852b6d2","year":2006},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:934920ad95d98395b8444e40d01f057b2da310bcf1bbde05f9a0238cfb605d52","observation_id":"97eeca0e-2365-4114-ab14-7c7e18db1d12","resolution":{"observed_at":"2026-05-19T04:02:02.858251Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Henrot and M","venue":null,"work_id":"c3fb4b25-4b71-4769-8a9d-6409bfc2500b","year":2005},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:ef1f36faebf21fe35c0115919080ef43d53906ab845a271248dc7ce7a6b5ebe9","observation_id":"0544fbd0-87f0-4749-8c11-e4af1ac5a438","resolution":{"observed_at":"2026-05-19T04:02:02.929422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hottovy, A","venue":null,"work_id":"37b2653f-6386-41fc-98c1-7f97daeea03d","year":2015},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:cd67b455afb2233566b92b78e67c592f181be3f8173aadaf58383b21615eb8dd","observation_id":"21a042fa-ce8f-48a7-abb0-d28b4301b7e7","resolution":{"observed_at":"2026-05-19T04:02:02.855908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02030","last_updated":"2024-11-21T09:39:31Z","snapshot_observed_at":"2026-08-16T16:48:14.019632Z","submitted_at":"2022-07-05T13:19:11Z","title":"Uniform convergence of the Fleming-Viot process in a hard killing metastable case","version":3},"cited_work":{"arxiv_id":"2207.02030","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2207.02030","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Journel and P","venue":null,"work_id":"98385dfd-7fde-47d3-abf6-9a8042c8a27b","year":2022},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"cited_paper":"/paper/2207.02030","citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:9b1fed5608286ade80e97aa4bf6f6be883fcaf24e0110c2654307b74f76b1c22","observation_id":"240f7a3f-6163-4539-a967-50359c8e8361","resolution":{"observed_at":"2026-05-19T04:02:01.993549Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kato, Perturbation Theory for Linear Operators , vol","venue":null,"work_id":"e7416562-dcd5-4924-aa3c-91c2685d318b","year":2013},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:c341682434e53e9f23badd787f9a1af963372b8b6d1d4966a5e5ce83c54f8b07","observation_id":"26410f76-7bda-4cd8-a6b1-86d812994dac","resolution":{"observed_at":"2026-05-19T04:02:02.853801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kirsch, H","venue":null,"work_id":"a093afcb-77c9-4cfd-920e-99e6401078b5","year":1987},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:78b02e578a38cc5e8bb417cbe47a56f2030793d7cdeb9bb48eb83de9b6b926e0","observation_id":"9e386524-7711-4f1c-ac84-aca307415d32","resolution":{"observed_at":"2026-05-19T04:02:02.851668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Krantz and H","venue":null,"work_id":"e5c1578d-982b-4518-8976-d7c55e4a2ba2","year":2008},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:cd117a97c704a1c11b6dab12e70af2da6ea48ad2be9fbb543a97a03ada832f05","observation_id":"0bf8d172-ba8e-4d3c-bead-ef51f4f4f4af","resolution":{"observed_at":"2026-05-19T04:02:02.849446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Krumscheid, M","venue":null,"work_id":"c5eff389-3401-4569-a677-0d7f87e66890","year":2015},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:8965838762e5bd7b8400c83e550d00e80e1e6d967acab36b535ac51d771e56ca","observation_id":"dcfacb51-a0bc-4eba-95cd-9a8f5650dc39","resolution":{"observed_at":"2026-05-19T04:02:02.847494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lagard`ere, L","venue":null,"work_id":"8f3dd75e-fd7c-4d8f-8b62-dd5d7c9f8b26","year":2018},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:cdc9ed8dd960d3240788cbcf5668b0e9e8f4bb483e4043e7c58bac48a7af33e2","observation_id":"a4b6f4eb-45ab-49d9-9851-74a109a45873","resolution":{"observed_at":"2026-05-19T04:02:02.845184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Le Bris, T","venue":null,"work_id":"7f3ffbd7-2f1a-4841-9f22-2006072737a9","year":2012},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:adf3db6a04456f5f2734fb4590580c1f3545f10a4a860fe4955741bca280fee2","observation_id":"2e3eb917-5efd-48ba-add1-09c06fadb9e9","resolution":{"observed_at":"2026-05-19T04:02:02.843042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Le Peutrec and B","venue":null,"work_id":"177ed7d9-0798-4658-bc1f-bf300905ff7f","year":2021},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:cd46df88061ed48456f6f12be1f7b3100b10bec28789bd3ec29a646f4d484793","observation_id":"1295a7a6-65ae-404d-a3ea-25823ada1545","resolution":{"observed_at":"2026-05-19T04:02:02.840730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Legoll and T","venue":null,"work_id":"6af2e20c-ea2a-419c-bb44-7be714e80fee","year":2010},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:baaf8df7e94fb63d25d3db06ce18f2f2334f3f3dd0b61b9c2e0d807dd9b5f3cd","observation_id":"b40ac1a7-f16e-4ec0-afd0-ce4590a68fa6","resolution":{"observed_at":"2026-05-19T04:02:02.837627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lehoucq, D","venue":null,"work_id":"9ca88021-a0d2-4684-8e6e-bc76cb13ec12","year":1998},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:414cd3169f335c2cf907f08be11dd51952fb2b6ab25488b51e93cfc5c5485ee5","observation_id":"e9f6e696-c926-45f7-b086-0cd680cf39d8","resolution":{"observed_at":"2026-05-19T04:02:02.833868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Leimkuhler and C","venue":null,"work_id":"e7907e0a-6f27-4f44-a6e6-84f4650fcc40","year":2016},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:d8daee41032d0b73641ecb0d17054d2100e1a9df33cad8c2c6061870e6ca72f6","observation_id":"67bf207d-0966-4924-b77f-2baf743913a7","resolution":{"observed_at":"2026-05-19T04:02:02.831864Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Leli`evre and F","venue":null,"work_id":"05c3f5cb-450c-4e20-aa7d-36127a5e3d10","year":2015},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:1bff782bc4ad0a02a4fa563003634b0b6c8c7d166c8ddf43f79d55d17d9edae4","observation_id":"d4884281-9ea4-4ca5-89eb-f0702bf0ce7f","resolution":{"observed_at":"2026-05-19T04:02:02.829543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12087","last_updated":"2025-02-07T17:23:27Z","snapshot_observed_at":"2026-08-16T13:59:48.398985Z","submitted_at":"2024-04-18T11:13:36Z","title":"Optimizing the diffusion coefficient of overdamped Langevin dynamics","version":3},"cited_work":{"arxiv_id":"2404.12087","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12087","snapshot_observed_at":"2026-07-03T11:38:04.777248Z","title":"Optimizing the diffusion coefficient of overdamped","venue":null,"work_id":"1bd02ad4-5004-4625-9224-3360b017ec5e","year":2024},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"cited_paper":"/paper/2404.12087","citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:a7ff07944a5850271a5c4d82e348b7a91a81d66677e6a1630db2ee8343b04b4e","observation_id":"1d2874e5-6412-4a09-bda9-fb4ca2427e97","resolution":{"observed_at":"2026-05-19T04:02:01.990347Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Leli`evre, M","venue":null,"work_id":"a87b53a7-c6a5-4f26-a6a1-23e8767d9241","year":2024},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:96d6376174ebf32dbb24ca92f53af1a259e2b7d6a96d2b914226cce2349e6e09","observation_id":"b0ed83bb-1215-4098-b814-fec82a2dd499","resolution":{"observed_at":"2026-05-19T04:02:02.827421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Leli`evre, M","venue":null,"work_id":"2e91b3d0-2088-43e6-8877-0e58ba6a811b","year":2010},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:fe1e2fb83d45f071253e3e7b9d05774127ffd26c26f4e9f2f381e877ff86d764","observation_id":"94065101-463d-4ddb-9df9-c785e6638e21","resolution":{"observed_at":"2026-05-19T04:02:02.824872Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.00525","last_updated":"2025-08-08T13:19:28Z","snapshot_observed_at":"2026-08-16T13:13:48.610142Z","submitted_at":"2024-10-01T09:08:07Z","title":"Improving sampling by modifying the effective diffusion","version":4},"cited_work":{"arxiv_id":"2410.00525","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.00525","snapshot_observed_at":"2026-07-03T11:38:04.758545Z","title":"Leli`evre, R","venue":null,"work_id":"079b73aa-3eac-4eed-bd01-4bbf7a268e72","year":2024},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"cited_paper":"/paper/2410.00525","citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:a5d83fc37d072ad9e014b8507f537644798cedd735daf1fd0428b68ed3b02dfc","observation_id":"c98f946a-e15c-4ef8-b991-7b85e8511f1b","resolution":{"observed_at":"2026-05-19T04:02:02.000194Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Leli`evre and G","venue":null,"work_id":"df26b06b-07b0-4ccd-97d4-2140c1c861e5","year":2016},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:79de9701817126a37dccb5a3390d5519763943c751fc2d5de142372b1e583102","observation_id":"48a6247a-4aeb-42d3-92ce-6a074d3cce61","resolution":{"observed_at":"2026-05-19T04:02:02.822666Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16396","last_updated":"2025-03-25T08:53:05Z","snapshot_observed_at":"2026-08-16T13:15:44.385304Z","submitted_at":"2024-09-24T18:56:43Z","title":"Kinetically Consistent Coarse Graining using Kernel-based Extended Dynamic Mode Decomposition","version":2},"cited_work":{"arxiv_id":"2409.16396","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.16396","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Nateghi and F","venue":null,"work_id":"1bd193ae-acf6-4c39-af65-e77f8272bf92","year":2024},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"cited_paper":"/paper/2409.16396","citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:65968cbcddcfbb8790baf4aa7f264626d33ab82731eb542d9ab592e360ce84c2","observation_id":"56f00a84-9a66-4969-87aa-e6909557a11d","resolution":{"observed_at":"2026-05-19T04:02:01.997063Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Nocedal and S","venue":null,"work_id":"48fa39f4-fdad-4a61-b4a7-a4af07550fa1","year":1999},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:81fe1384eded30fc2acb9ab606e2716368b9d259790903b81e4eb7de9bda10ba","observation_id":"17ee4f56-3f82-46ad-89fb-d5f881a7427d","resolution":{"observed_at":"2026-05-19T04:02:02.820269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"N¨uske, P","venue":null,"work_id":"fe070300-6c5e-44b4-95ab-4e820b400065","year":2021},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:b6eea359b4e8bfb25cbf0c9de5dd309e84682488aaa5ba66437392a61558165e","observation_id":"2afbe01c-dd05-4382-9f87-9476bf0622b7","resolution":{"observed_at":"2026-05-19T04:02:02.817594Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Oudet, Numerical minimization of eigenmodes of a membrane with respect to the domain, ESAIM: Control, Optimisation and Calculus of Variations, 10 (2004), pp","venue":null,"work_id":"af8bdf6d-3588-4c8a-8c3c-38aa6e823385","year":2004},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:6b0673bec83ff1fb480b81158aaf2c78bd600187b1f6f6e8cfc46c6894bccb80","observation_id":"6195cb6a-7758-4b7b-9d61-350eae47c2db","resolution":{"observed_at":"2026-05-19T04:02:02.814477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Payne, G","venue":null,"work_id":"09152a2c-1d50-4a68-973c-186d7960e39f","year":1956},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:2900ff067a0819660677dea7b0f40c0215aedc1dc18927a43b01b61d2c40cbe4","observation_id":"cd22926e-9a62-44a1-aff3-86b59c4e1a39","resolution":{"observed_at":"2026-05-19T04:02:02.812042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Perez, E","venue":null,"work_id":"aa2dd659-344a-46c7-948c-7541e2f65aeb","year":2016},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:273f19f3c3ab239ff838340120b02be2684cf69da5f4306d01f6474eb3a8c18a","observation_id":"1c365bc0-1aeb-4bf6-9625-e72b7d2a46e6","resolution":{"observed_at":"2026-05-19T04:02:02.809815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Perez, B","venue":null,"work_id":"2a4b4589-2c19-4139-87b0-c978a094fab1","year":2015},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:7abbc8b687359838416326d5868e5b32ec788acfde1a94e0e0a31235fb24cc35","observation_id":"2aaa224a-de78-4de0-82fd-2062fbf526f2","resolution":{"observed_at":"2026-05-19T04:02:02.807502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ramil, T","venue":null,"work_id":"e18b36f7-5bef-4170-9f5f-aa96aea05ba7","year":2022},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:9c94d5c36ea77b101964cd2deec2c31bb5ad0c465750668fd51d7136b196f898","observation_id":"c9472f84-8741-486f-88cc-394a0daef930","resolution":{"observed_at":"2026-05-19T04:02:02.805232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Rousselet, Shape design sensitivity of a membrane , Journal of Optimization Theory and Applications, 40 (1983), pp","venue":null,"work_id":"e2487eba-5f73-4f3e-9590-2ca99ae489f0","year":1983},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:5e1edffe0d31f85ab385e14ece2d6685d1938d553122a67ab66e55847112c0f7","observation_id":"76f971ff-0f29-4a3d-aa73-5c4e3a4d3100","resolution":{"observed_at":"2026-05-19T04:02:02.803180Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Rousset , On the control of an interacting particle estimation of Schr¨ odinger ground states, SIAM journal on mathematical analysis, 38 (2006), pp","venue":null,"work_id":"d9c43fe7-02e3-48d2-aa04-cadf21ca4434","year":2006},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:654326aa925d5890e0aa35f7d43fd98d1469e9636c2f3327f4b063f1c06b6030","observation_id":"e5b8fbb2-1b39-4486-a892-ca27ab418a5e","resolution":{"observed_at":"2026-05-19T04:02:02.800611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ryckaert, G","venue":null,"work_id":"e0536756-ec04-4839-8bbe-79e6a91a9468","year":1977},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:38d41e0491c1c50a95a0f57d659a402812b1fe68fe245e2527604f4ead739be5","observation_id":"54a4e343-a23b-4f5e-8941-b0c531d0f43f","resolution":{"observed_at":"2026-05-19T04:02:02.795785Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Simon, Semiclassical analysis of low lying eigenvalues","venue":null,"work_id":"a5ff1c06-e6fc-49e1-ae82-4bd76fbd6619","year":1983},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:76b1ffff2a517eb9baaece9edd75211e76d7326451b3fcdf99e64e9823ab54b9","observation_id":"149fce18-dbae-4bf9-9d57-2d7d55dd7f9b","resolution":{"observed_at":"2026-05-19T04:02:02.793591Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Simpson and M","venue":null,"work_id":"170c98c2-2333-4752-91ed-1af8469b09fc","year":2013},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:50ebdfdf8c1ccbf82b1754878991f80e463df86548ded2bda5034ae5c572b305","observation_id":"00a90717-3f8a-4291-a536-74e5a3323252","resolution":{"observed_at":"2026-05-19T04:02:02.779399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Sørensen and A","venue":null,"work_id":"7c648587-05bb-4d25-a86d-b93e5260e274","year":2000},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:ac992014790e6c5b556bba3f8db484e949b9192e735dfbfdda23ba43e8bf55aa","observation_id":"bf8212c3-0805-446c-996d-e71d8334dea5","resolution":{"observed_at":"2026-05-19T04:02:02.789413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Tao, Topics in Random Matrix Theory , vol","venue":null,"work_id":"75556a35-6ef0-4ce7-a0c1-957aceb11faf","year":2012},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:6013b3f0b17a8da04b9cd156ad92f9db477a31177e8ac839412570856071c608","observation_id":"29fac5cc-3ce2-45f7-90ce-61d7906fa53b","resolution":{"observed_at":"2026-05-19T04:02:02.784760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Teschl, Mathematical Methods in Quantum Mechanics, vol","venue":null,"work_id":"5cafe6eb-1332-4b01-8553-99bdee5d82a0","year":2014},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:96b7a19a86d7688836fe2923e71f5dba269401d1e0b7e3d4803aa83254fdd264","observation_id":"9c500554-baf9-4f0f-9704-55e654809303","resolution":{"observed_at":"2026-05-19T04:02:02.787140Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Uberuaga, S","venue":null,"work_id":"5289cf35-36fe-45cc-8f2b-43227e5a2bfe","year":2007},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:f3873433ab012e62762555b98ab8788b10ef73304756bb1fc8ead06c1e5fcce7","observation_id":"4c76cb03-c326-47eb-8e92-4e9999848b00","resolution":{"observed_at":"2026-05-19T04:02:02.771994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Villemonais , General approximation method for the distribution of Markov processes conditioned not to be killed , ESAIM: Probability and Statistics, 18 (2014), pp","venue":null,"work_id":"2c14549b-7da7-4129-bb8b-02a12c1aa558","year":2014},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:620a62cf797d4096e7b736f2b3ecd8553897adc2ce9390091fadfc22c6b58f41","observation_id":"a02e49ba-6434-427b-9378-f043c1ab65b9","resolution":{"observed_at":"2026-05-19T04:02:02.776939Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Voter, Hyperdynamics: Accelerated molecular dynamics of infrequent events , Physical Review Letters, 78 (1997), p","venue":null,"work_id":"952d58a7-66ad-4752-81d2-3c64b8a1bd43","year":1997},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:9bd619b8f7f4acd042b5c30086d1633f4c7c9335c93216504a7b8e9d456615c1","observation_id":"2d9c223e-2aee-423e-b457-f3b3fbd23659","resolution":{"observed_at":"2026-05-19T04:02:02.782167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"9599–9606","venue":null,"work_id":"360ab3e7-a4d4-4254-a1d2-5f152b46135d","year":1998},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:a200d358815685dd6e2c2f82e76a82e5e503a965ffdfc7b23fb073f46e19b5d6","observation_id":"9952a831-2c11-4a6a-898f-6d90f9017b00","resolution":{"observed_at":"2026-05-19T04:02:02.791399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zhang, C","venue":null,"work_id":"8a11230c-7bcd-42e7-b980-479bdd12495b","year":2016},"citing_paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states","version":3},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-05-19T03:57:38.590586Z"},"links":{"citing_paper":"/paper/2507.12575"},"observation_digest":"sha256:46a3f2ba2361e3483cd19eeb4a5e896db9701dba0027ae719a28fe995184f7f7","observation_id":"f5baacca-6a64-4a21-874d-9187401f0a7e","resolution":{"observed_at":"2026-05-19T04:02:02.797943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.12575","last_updated":"2026-04-15T08:20:14Z","latest_version":3,"primary_category":"physics.comp-ph","snapshot_observed_at":"2026-08-11T13:39:45.614034Z","submitted_at":"2025-07-16T18:43:04Z","title":"Shape optimization of metastable states"},"reference_resolution":{"displayed":76,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":6,"verified_fuzzy":67},"total_outbound_references":76},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 0 inbound Pith citation observations for arXiv:2507.12575."}