{"as_of":"2026-08-23T17:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:850f8065649b654277b4061e549458ffd3a2a6fe4178f109259d7458739dcbaf","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:53:14.182590Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/2501.00928/citation-record","integrity":"/paper/2501.00928/integrity","json":"/paper/2501.00928/citation-record.json","paper":"/paper/2501.00928"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:53:14.634552Z","title":null,"venue":null,"work_id":"ce5f4c7a-3990-48cd-b059-951e0075dc68","year":2021},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.046398Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:2012f77b42cc21d15e43815274760b3866c6960f831acb9752f8af7a06db1d83","observation_id":"9e5333d4-0845-4308-bada-bbe9d624f748","resolution":{"observed_at":"2026-08-10T22:53:14.638628Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.623073Z","title":null,"venue":null,"work_id":"dfd0c3ba-5c95-4c85-9444-4d02988aebc1","year":2022},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.051729Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:214518be41e3bbd79b1825b6c5b0bb1023664b1f676b414aebaeafc17e2e9b5f","observation_id":"bf212009-0e42-4957-996d-e292836cd0d7","resolution":{"observed_at":"2026-08-10T22:53:14.626826Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.612183Z","title":"Bianchini and A","venue":null,"work_id":"62a361b8-0329-44c5-9d37-9c0a06184356","year":2012},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.055525Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:9d17d0208fc7683ac4be7ea0144da36045e76b57c57d8ae697629b58286fcac3","observation_id":"9166e4df-faff-4c10-945a-d67b69473124","resolution":{"observed_at":"2026-08-10T22:53:14.615881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.601758Z","title":null,"venue":null,"work_id":"cd8e179c-1ea9-4c14-aee3-1099dda1a632","year":2023},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.059497Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:709b828066d5b5bcf58db26a54a16ebc0c700c148c81059f328266c4bbced603","observation_id":"9fddff04-6660-48da-8d2a-9b08d90952eb","resolution":{"observed_at":"2026-08-10T22:53:14.605373Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.590937Z","title":null,"venue":null,"work_id":"7d5bd29e-0648-43d3-812e-9073038bdfca","year":2024},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.063503Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:f600ff0379b03c5d795e948bdeeb402be99e43f6fef6b40ece98a35dcae04932","observation_id":"374dfe9d-8a73-479e-af11-6134a42a3e4e","resolution":{"observed_at":"2026-08-10T22:53:14.594475Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.580046Z","title":null,"venue":null,"work_id":"efc9ea85-c7b8-4045-8bd4-aa415fb4b206","year":2014},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.067298Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:482ac362d59acbbf2bd0a516a6a91347a4250bf32e357cc24a9d735f6de967e4","observation_id":"d2cf862e-53f7-4aa6-9dd3-2a6293d412f8","resolution":{"observed_at":"2026-08-10T22:53:14.583802Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.568669Z","title":"Buttazzo, E","venue":null,"work_id":"6ef2f2da-d9ec-4fbc-be80-abf463eb2638","year":2001},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.071389Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:9663e7e4e86dd8e6443bb53da9ceeba394b9151853f5535a0acdca9b117a4a93","observation_id":"71eb3619-9926-4703-b60c-9b2d092f8a6f","resolution":{"observed_at":"2026-08-10T22:53:14.572656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.557820Z","title":"Buttazzo and E","venue":null,"work_id":"f1caf5e8-16d1-4b51-948c-638cfb874e7a","year":2003},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.075031Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:002dc898ab496102cf729dded9294f7dcc17d199d6908bf21067a16463e20b2b","observation_id":"7c773cde-d45a-42ea-9c28-e1b1c6c14d73","resolution":{"observed_at":"2026-08-10T22:53:14.561619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.546886Z","title":"Cherkashin and Y","venue":null,"work_id":"aae30ad1-ae6e-409f-a55a-1e68e7e69e08","year":2018},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.078471Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:82ae43442b6cffef964e7df2b5cedcb53e828a87071596d77506765c2f55d8f4","observation_id":"48607476-1b40-4391-b83e-7bbd70831fcd","resolution":{"observed_at":"2026-08-10T22:53:14.550729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.535887Z","title":"Crane, C","venue":null,"work_id":"3fc73a29-0a6e-4a55-8925-2770355fc6be","year":2013},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.082074Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:2d167708a63c06d50e9ed5e3f354c28bda2ced430a45e4a80f5aaaee2ebd8d67","observation_id":"5d9d9ad7-d05a-4cee-ad03-d73c30db5e6d","resolution":{"observed_at":"2026-08-10T22:53:14.539460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.525020Z","title":"Croce, Z","venue":null,"work_id":"e03d3748-daeb-481f-996e-5abc08474e50","year":2022},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.085714Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:e2d444f9bbcc882cf11b25b01c8fea5edcffbb61fa8aeb339c30385c5b8d3523","observation_id":"5108f1d8-9977-4264-82a3-2fb0cc160e35","resolution":{"observed_at":"2026-08-10T22:53:14.528981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.02294","last_updated":"2023-03-04T02:18:07Z","snapshot_observed_at":"2026-08-16T15:50:53.193078Z","submitted_at":"2023-03-04T02:18:07Z","title":"Reverse isoperimetric problems under curvature constraints","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.02294","snapshot_observed_at":"2026-08-10T22:53:14.089211Z","title":"Drach and K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.089211Z"},"links":{"cited_paper":"/paper/2303.02294","citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:8e45cff72018777c7b56dadd5cd602553f94e472fb77c16bc04006be9fec02b7","observation_id":"7dee3e95-100e-45c5-a6f1-a9a4e6b043fb","resolution":{"observed_at":"2026-08-10T22:53:14.089211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:53:14.514243Z","title":null,"venue":null,"work_id":"cbf663fb-f9cd-42d3-b482-d4ef62f6a748","year":1929},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.093308Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:01c0849fb59064edd52bd77bd58d247bc2803b85ae3d74ad199f1d6b08e31d41","observation_id":"513554a9-67bb-485b-8c5e-d5fbf39a5f57","resolution":{"observed_at":"2026-08-10T22:53:14.517893Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.502385Z","title":null,"venue":null,"work_id":"26a1be44-a310-4961-8e0a-710f41a620b7","year":1989},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.097522Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:ff27aa6e9ec15972f1d6f7b156446e59e597935260eff2cefb3d61a3c5c893f6","observation_id":"cbad3c6f-775a-4427-8d80-67f616463c82","resolution":{"observed_at":"2026-08-10T22:53:14.506572Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.490696Z","title":null,"venue":null,"work_id":"d6ea9141-7e09-4b45-9ce0-7c136f17d4aa","year":2022},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.101118Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:72511dfaba1cce71451c8574d5470ab4a4cfd9597499bbd2eb0bd1762adde5a2","observation_id":"eedb2c28-51f5-442d-9718-44f6025b5f06","resolution":{"observed_at":"2026-08-10T22:53:14.494572Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.477935Z","title":"Ftouhi and J","venue":null,"work_id":"1bd1b949-6ccb-44e5-b250-f2a25242fb8b","year":2021},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.104690Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:a4fd31d5f0a7e9921f538b32fc34027ea79cc38fc016f8b200d819cd56572d37","observation_id":"26a1a02a-b182-4a16-bbe8-810de04659be","resolution":{"observed_at":"2026-08-10T22:53:14.482866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.466446Z","title":"Ftouhi and E","venue":null,"work_id":"c9f477e4-e36f-400f-b475-e1147b8db3d5","year":2023},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.108196Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:673ca23f181063bb4e022a71b0d2786b59c36dccb2c1e2a5b2891ee14159ff0d","observation_id":"db66f173-548b-4a42-a1c5-e21575e709b2","resolution":{"observed_at":"2026-08-10T22:53:14.470553Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.454516Z","title":null,"venue":null,"work_id":"06df1e8c-c9de-40b0-97f1-e4dea8d1b721","year":2010},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.111602Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:551427c38be0462ef8c355f3bd83f35963342e9ea408c24bcfe57c8c41a4087d","observation_id":"53835006-9d92-4541-8661-992f3519caab","resolution":{"observed_at":"2026-08-10T22:53:14.458448Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.443133Z","title":"Howard and A","venue":null,"work_id":"5f966b80-c301-410f-9000-44ca51938f74","year":1995},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.115065Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:a6c64e6063ddbe50a70cc780c205ff9cf0d1bf665c6f258338a5ba16a4d370bc","observation_id":"752972ca-ed9f-480f-a89a-d92c0cd18ece","resolution":{"observed_at":"2026-08-10T22:53:14.446935Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.431545Z","title":"Lamboley, A","venue":null,"work_id":"1fe4d466-9ba1-4e72-9f31-91c7094863e5","year":2012},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.118716Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:4d019a97d26d151ce67ffda476ddc6d3479a26749f471377ca8595d8ca49c9c3","observation_id":"b6efaa98-1a99-40fc-8d2f-65ec32c947c8","resolution":{"observed_at":"2026-08-10T22:53:14.435674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.420384Z","title":"Lamboley, A","venue":null,"work_id":"110176df-9535-49bc-b11d-b18819c5b5f7","year":2016},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.122111Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:21f0a5b2d3365294cf7336d256965af1f9e81e2bbb48348708776471ff840140","observation_id":"d6d99584-ff12-446a-8cde-93877fff4f6d","resolution":{"observed_at":"2026-08-10T22:53:14.424182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.409402Z","title":"Lemenant","venue":null,"work_id":"900c37a8-5578-4c2d-b2bf-7c42d6eae18b","year":2012},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.125679Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:b7e6d18f9df55b6bafe708093b55fe86c3e97d4ccdc0f7407a4f90e3ba092b41","observation_id":"7073a6b3-f4a1-4cc9-a124-19b39069b5e3","resolution":{"observed_at":"2026-08-10T22:53:14.413222Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.398190Z","title":"Lemenant and E","venue":null,"work_id":"9902fed7-4151-4196-8969-877540c42702","year":2012},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.129136Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:07b517e4ecd3637548e8c6368e353bc555e62732f414e7a33ec70c38c2a8705d","observation_id":"5baa96d2-ec86-457e-9cf5-2f5fab2f7ed3","resolution":{"observed_at":"2026-08-10T22:53:14.401913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.386710Z","title":"Mazari, G","venue":null,"work_id":"771bf16a-d57e-470b-940e-aadb4151c9d7","year":2020},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.132364Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:d92daabfc2d90b0352e8085556a4066f5fd9bf6be14d30517295faa5edd3239c","observation_id":"29151ccb-d7be-4506-a432-f804038d26ff","resolution":{"observed_at":"2026-08-10T22:53:14.390800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.375511Z","title":"Mazzoleni, B","venue":null,"work_id":"fceaad2f-1086-4d4c-b331-1c0fee8b29d8","year":2020},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.135842Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:8099cf2999a0c90f76ff012cedec48d9a72344f7d23f01aff8d66e002741e0d5","observation_id":"08b73f2e-20e0-4add-aa58-c5664729c83e","resolution":{"observed_at":"2026-08-10T22:53:14.379194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.364691Z","title":"Modica and S","venue":null,"work_id":"cee05332-84b6-496d-8bd5-e79e358ce09d","year":1977},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.139258Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:fe2bd70501896a4542beef381a44023f57aeb43cc240f8c9e1ea0eae6b270c9a","observation_id":"d4242ce6-7793-4804-8834-6ee957f5dd82","resolution":{"observed_at":"2026-08-10T22:53:14.368506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.353384Z","title":"Privat, E","venue":null,"work_id":"4813c493-eb67-4726-a335-7087efaaedbd","year":2013},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.142625Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:297db091c6822a0aaa822d4dd0d8fb20376341e35a56ec5afcc3e125cef6318d","observation_id":"7310ef18-f658-4d1b-b497-31e036c888dc","resolution":{"observed_at":"2026-08-10T22:53:14.357529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.342067Z","title":"Privat, E","venue":null,"work_id":"4d1597e6-7093-4603-8a88-36d3f60a921e","year":2015},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.146320Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:65bb923e12fb92509a8fdcda28ebcdef9b626b27c4367986dbc436eb8a44d88f","observation_id":"a4b1282c-0012-41be-a05b-0b9875614b18","resolution":{"observed_at":"2026-08-10T22:53:14.346032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.330167Z","title":"Privat, E","venue":null,"work_id":"3d0a8f10-5c65-4477-8718-f84645cb8446","year":2017},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.149904Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:b1e4c76aea552e431a3c87b298a7d3d03ae49abf6295b572f82fadef3953a9b2","observation_id":"b60808f3-b3bb-498e-9993-75dbc104c7ed","resolution":{"observed_at":"2026-08-10T22:53:14.334186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.317351Z","title":"Roques and F","venue":null,"work_id":"1b756ac0-2b83-4f0f-89b9-d1292673efe2","year":2007},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.153668Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:858fa9ac0fa16c76c291c4ebcdb0ae56fe6a7052ce8ee5446898529a3b62bc71","observation_id":"29f3c54a-02a1-4ee7-9f46-a63d521771b6","resolution":{"observed_at":"2026-08-10T22:53:14.321583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.305911Z","title":"Schneider","venue":null,"work_id":"6935a1d8-9fa3-4b21-9558-6eda5db6d801","year":2013},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.157326Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:4b17e651f6badb460cd14bab853f316754fb4b80c7debbaca1cc80d4b3658e83","observation_id":"7a668a7d-8a35-4a51-8454-7bc0aea92a90","resolution":{"observed_at":"2026-08-10T22:53:14.309789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.294002Z","title":"Teplitskaya","venue":null,"work_id":"add2ca44-2725-40f3-a565-7300c1811c79","year":2018},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.161073Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:d846e1fbb9101f70504d2c2607b1bc1d0b039ec0b2ea2710de7341e367676f5f","observation_id":"be3b1b4b-4f59-49e4-a3be-31a74880b814","resolution":{"observed_at":"2026-08-10T22:53:14.298190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.282076Z","title":null,"venue":null,"work_id":"855e01c0-6207-400a-9af1-9098c3c372aa","year":1967},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.164612Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:edb76583e6590e9839f04d9bc643e13b00416d509740dc0e54c175704ed08ddb","observation_id":"4aa9d31b-804e-4e48-a868-9a1d22784d66","resolution":{"observed_at":"2026-08-10T22:53:14.285966Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.270288Z","title":null,"venue":null,"work_id":"5f45ecb7-ac8d-4539-af68-1e5ad3b88f7e","year":1985},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.168259Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:42057965363360e1b28cb2bac4866fc6146e6a3fc00af00ab5dc9c7ff9d3be88","observation_id":"019695d8-9fda-44b4-8a6f-013d408fc1a6","resolution":{"observed_at":"2026-08-10T22:53:14.273993Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.257669Z","title":"Wang and E","venue":null,"work_id":"fcb6afa0-2218-4e88-b2b9-bfaabaf599a9","year":2012},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.171731Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:862c01ed365482a71b8cafec35679f5899a81e4f807a6c10f2b551f681f128aa","observation_id":"b3ad649d-8dff-40cb-8bfb-1fb4f61563f0","resolution":{"observed_at":"2026-08-10T22:53:14.261696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.246314Z","title":null,"venue":null,"work_id":"fa8581eb-d1a3-492c-abf7-5a9f521816a3","year":null},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.175368Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:80f00ae00117db1f70bc9ed797818f8401f0aec900d7c2137871b603152faf44","observation_id":"49a5eb98-2c76-4726-ae6b-1e5f6d80a7f0","resolution":{"observed_at":"2026-08-10T22:53:14.250123Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.234963Z","title":"de las Universidades, 24, 48007 Bilbao, Basque Country, Spain,","venue":null,"work_id":"d328824a-0f29-45b0-9b4e-1281c1eb5156","year":null},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.179077Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:38718b2cc687cc862edaf2be05a4a93622a07ca01aea6c630acf7b46e24269b9","observation_id":"f5f0b31c-b05e-4f49-a470-1ef899beb62e","resolution":{"observed_at":"2026-08-10T22:53:14.239198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T22:53:14.220786Z","title":"Email address: enrique.zuazua@fau.de","venue":null,"work_id":"754c3c59-289a-4f7c-8445-b8448deb9960","year":null},"citing_paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T22:53:14.182590Z"},"links":{"citing_paper":"/paper/2501.00928"},"observation_digest":"sha256:c643bcb6adc24e8c0b4b754fbf9d59020bd04632c88e871daf95a9cfc35f9e0c","observation_id":"0b9efa52-29aa-4088-974c-08634af052e5","resolution":{"observed_at":"2026-08-10T22:53:14.226581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.00928","last_updated":"2025-01-01T19:02:53Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-16T23:06:26.600448Z","submitted_at":"2025-01-01T19:02:53Z","title":"Optimal $L^p$-approximation of convex sets by convex subsets"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":0,"verified_fuzzy":25},"total_outbound_references":38},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2501.00928."}