{"as_of":"2026-08-16T18:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:06633a9f4ef3417163aecd9b0c2c7a5a025d5a04733a51eed28f02cfa3f0bb83","coverage":[{"denominator":70,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":70,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T19:31:28.347883Z","state":"measured"},{"denominator":72,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":72,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T14:26:58.776755Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-12T11:57:22.217387Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"cited_work":{"arxiv_id":"2603.02714","doi":null,"metadata_source":"pith","pith_arxiv_id":"2603.02714","snapshot_observed_at":"2026-08-12T11:57:22.217387Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","venue":"math.PR","work_id":"baa9d78b-9319-4407-b0bf-643bd7be9461","year":2026},"citing_paper":{"arxiv_id":"2608.11031","last_updated":"2026-08-12T16:12:50Z","snapshot_observed_at":"2026-08-15T23:12:13.246841Z","submitted_at":"2026-08-11T15:09:54Z","title":"A Bayesian Proof of the Bernoulli Theorem","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-12T11:57:22.129228Z"},"links":{"cited_paper":"/paper/2603.02714","citing_paper":"/paper/2608.11031"},"observation_digest":"sha256:ad4c7d1538a41018f0f4f52daa92a8fcc44b6a90c3cd64e64155b3eebbbb97c1","observation_id":"64a82a4e-3d0f-42d8-af64-d07bc2196846","resolution":{"observed_at":"2026-08-12T11:57:22.223096Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2603.02714","snapshot_observed_at":"2026-08-15T14:26:58.776755Z","title":"Gaussian width of convex sets via integral decompositions, projections, and the distribution of intrinsic volumes","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.11031","last_updated":"2026-08-12T16:12:50Z","snapshot_observed_at":"2026-08-15T23:12:13.246841Z","submitted_at":"2026-08-11T15:09:54Z","title":"A Bayesian Proof of the Bernoulli Theorem","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T14:26:58.776755Z"},"links":{"cited_paper":"/paper/2603.02714","citing_paper":"/paper/2608.11031"},"observation_digest":"sha256:3000d84fcf3283a71ec82bef51076b5587ab4a4d533c77ad58a6c08a9f0ad280","observation_id":"f46a64f5-9fef-4866-b909-6b433b00fd49","resolution":{"observed_at":"2026-08-15T14:26:58.776755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2603.02714/citation-record","integrity":"/paper/2603.02714/integrity","json":"/paper/2603.02714/citation-record.json","paper":"/paper/2603.02714"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.030638Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.030638Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:40c1b5ba865cf7fbfa377438770b01661a4d358acce834b5331f75a4765670ae","observation_id":"79745ca9-492a-4b29-8772-9f4937abdfb5","resolution":{"observed_at":"2026-08-02T19:31:20.030638Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.104456Z","title":"Alonso-Guti´ errez, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.104456Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:877a38bd09357fe04fd56a3a6603acfae7b8b2ce27918097f81f7c8666a5f078","observation_id":"7984d2bb-7c46-4b4f-9813-e47a91964ef3","resolution":{"observed_at":"2026-08-02T19:31:20.104456Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.180769Z","title":"Amelunxen, M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.180769Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:3e94270a3a25c49006a4f1214801aa6408b29c7bc052d8a53315efc8677e3cd5","observation_id":"368b679f-2d67-4967-ab83-f7cdd6d8c67f","resolution":{"observed_at":"2026-08-02T19:31:20.180769Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.234384Z","title":"Aolaritei, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.234384Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:bcd9cf6c084576f228196100277b9f7b1707712e6df1589dde90673355f40099","observation_id":"78c0b829-25ee-4ed8-9212-ae90b088d89c","resolution":{"observed_at":"2026-08-02T19:31:20.234384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.314695Z","title":"Aravinda, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.314695Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:76d469bee93e604eccf513599f564e88b1a55b2107a8394451553ff3b26d0e80","observation_id":"0358f856-0a76-4c63-920d-2360535e5f40","resolution":{"observed_at":"2026-08-02T19:31:20.314695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.357363Z","title":"Artstein, V","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.357363Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:2cdc09ba5dbd8dd652757061db8a1104b52df0db7c3c30f65e4afa42bdf43d52","observation_id":"4910e962-5e63-4fd2-8866-9217e75f600b","resolution":{"observed_at":"2026-08-02T19:31:20.357363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.464589Z","title":"Audibert and O","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.464589Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:f90d4c134adcd6b2c8980f9e117ecd797714b311642b748e8fa16e890e149b18","observation_id":"455037fe-59d2-4034-9e18-3ed2775d5834","resolution":{"observed_at":"2026-08-02T19:31:20.464589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.617434Z","title":"Bakry, I","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.617434Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:785fade21afff074f34dd5790ca6a18364323dc173fb5347a141c5239df8160b","observation_id":"0089e5a9-57f2-455d-a5d4-2d94c6d4776d","resolution":{"observed_at":"2026-08-02T19:31:20.617434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.696841Z","title":"Barron, L","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.696841Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:ddbec81ca01553e4593946988ffecc1fbd02e2f6b03f1ba409d454367296b8a2","observation_id":"5c5ac47a-bcbe-4021-9e34-c7885d6570dd","resolution":{"observed_at":"2026-08-02T19:31:20.696841Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.880447Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.880447Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:57002eaada76b21f79a3f55519893d1df7a8cf47e0d981d3fa505ac8e34e05bf","observation_id":"32ff66e8-5704-491c-8808-b688be8a1038","resolution":{"observed_at":"2026-08-02T19:31:20.880447Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:20.999789Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:20.999789Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:1afc3e25ebdbdfdf10b6b2abd2ba40405d9d89736fc0fc55cec2ab3f91790f90","observation_id":"1263d107-1150-4ede-beb2-5ae8f0811e07","resolution":{"observed_at":"2026-08-02T19:31:20.999789Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:21.167012Z","title":"Betke and M","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:21.167012Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:fe0cc1a460c5cca7e5322a27f5cea191bf8ec4b80fcb998c9f6ffee08e84282a","observation_id":"21379380-0587-4304-8f28-a14af79d9fae","resolution":{"observed_at":"2026-08-02T19:31:21.167012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:21.258461Z","title":"Birg´ e and P","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:21.258461Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:a7be0c76b606d089cdf423aa9db52499c1c7de474eb37f2dd9d9d714ad1ea6f8","observation_id":"f177bb3c-3213-4f3e-860a-23d6e93cf2d6","resolution":{"observed_at":"2026-08-02T19:31:21.258461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:21.452639Z","title":"Boucheron, G","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:21.452639Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:772ed812231c49996ea8d14a639fb41f01ecf5711aed6656ff9677829c95c0d0","observation_id":"107e90a2-d6fc-401b-8d2b-e6221d7e3231","resolution":{"observed_at":"2026-08-02T19:31:21.452639Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:21.599377Z","title":"Bretagnolle and C","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:21.599377Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:7990fdb1552d97c0e6e78b9680393971091d91e7754b90c972f3b23ef7e4a276","observation_id":"654ce4af-ffc6-4b72-aa91-ffee118256c7","resolution":{"observed_at":"2026-08-02T19:31:21.599377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:21.725613Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:21.725613Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:07913eedac601c7559a50aa076ce44a5163cb5ec935c2c8fdd4556445898a15c","observation_id":"81d7eb8f-46bd-4fa7-bf9f-94b01c6ad121","resolution":{"observed_at":"2026-08-02T19:31:21.725613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:21.859531Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:21.859531Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:a52c7a7b87f3c504592ed64b9eb97959fe0a36b52b5be90ad479b4b1e851150e","observation_id":"98d67c0d-494c-4f9b-83b2-4170e34accaf","resolution":{"observed_at":"2026-08-02T19:31:21.859531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.02747","last_updated":"2017-12-31T18:19:41Z","snapshot_observed_at":"2026-08-16T18:04:12.443370Z","submitted_at":"2017-12-07T17:44:42Z","title":"Dimension-free PAC-Bayesian bounds for matrices, vectors, and linear least squares regression","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.02747","snapshot_observed_at":"2026-08-02T19:31:22.047279Z","title":"Catoni and I","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:22.047279Z"},"links":{"cited_paper":"/paper/1712.02747","citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:e6d4b87d34a1a2f8675a527371508a69c66184c60f6b49ccc2e772ff59a44de7","observation_id":"b6adce0a-c7df-481a-b27a-9ce79a59f784","resolution":{"observed_at":"2026-08-02T19:31:22.047279Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:22.166416Z","title":"Chatterjee","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:22.166416Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:e7de1e1d45cfbfcb7c74113a3264bf9abda3e8dd0de4d5e202b150b3e5ec45cf","observation_id":"1244c933-680d-4fd0-99ea-02b81b7ce2ed","resolution":{"observed_at":"2026-08-02T19:31:22.166416Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:22.317465Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:22.317465Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:81e9814a03ce144e65d612c3129e3d385bff67fa93a32f2bee4e72d2db40b42d","observation_id":"5149a7dd-dc50-48d4-9674-8b6e54cc6e8b","resolution":{"observed_at":"2026-08-02T19:31:22.317465Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:22.484128Z","title":"Fern´ andez-Unzueta, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:22.484128Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:aa0d4192ea0f8368fd85f1b2d9af195151b0418f5bc2a13bbf862a98b7cc7867","observation_id":"fc8b2b8e-dba4-4369-a6b2-af05f7dc5c20","resolution":{"observed_at":"2026-08-02T19:31:22.484128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:22.604739Z","title":"Gasull and F","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:22.604739Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:a121fdfd953c70cc110e6a50e707bc46b54bcbc981a64a2d1ff6de860fd5967a","observation_id":"7b13e20a-1b93-438c-9ac9-33edac77ecd0","resolution":{"observed_at":"2026-08-02T19:31:22.604739Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:22.709721Z","title":"Giannopoulos, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:22.709721Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:fc7b1e9957dab734cc870273bd6cd1731d127217fc2c65bd4fb264a10dffcb7d","observation_id":"9f881645-07a7-4fee-adcd-b8cebd2e9d99","resolution":{"observed_at":"2026-08-02T19:31:22.709721Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:22.825975Z","title":"Gin´ e and V","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:22.825975Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:777fbf0c80538679a4c91461599813e91c7153d15405531b82381db54399fc26","observation_id":"89a0e15f-0521-4224-80f3-ffa812e9d710","resolution":{"observed_at":"2026-08-02T19:31:22.825975Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:22.924906Z","title":"Hadwiger","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:22.924906Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:4531a3a708746aa7eeb14b606694c195f3357269e3d58574e6a63c954ab857bf","observation_id":"ffb907d2-f7a1-4188-b063-f6a1a75627ca","resolution":{"observed_at":"2026-08-02T19:31:22.924906Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:23.070916Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:23.070916Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:1089bc713e272a19ca2a4b2c3ef1b40002d6de71897e1894ebf9a6a9750ef5bb","observation_id":"681bad98-7c35-4ab3-8e9a-49e1ce46637d","resolution":{"observed_at":"2026-08-02T19:31:23.070916Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:23.227103Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:23.227103Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:19eac8617a791c00eba227b9ea28ba1fe1560eadf811151791b5870fa493d78d","observation_id":"5269a9c8-7578-458a-943e-a65c5edabeee","resolution":{"observed_at":"2026-08-02T19:31:23.227103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:23.378536Z","title":"Koltchinskii","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:23.378536Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:8f1be802acaf13091b42e4301f541a46134f3dd35417fc0c475778810406e584","observation_id":"91e218e3-636a-428a-8480-d8b180aba27f","resolution":{"observed_at":"2026-08-02T19:31:23.378536Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:23.532281Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:23.532281Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:50147f67f7dfe8d127bf1b6b8dce2fad6830e6c4729b1cd3d61696f044b61ae2","observation_id":"93d3c15d-8c60-4c7d-9591-f61de6cbe390","resolution":{"observed_at":"2026-08-02T19:31:23.532281Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:23.706522Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:23.706522Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:f0d932d65890bfa57f2375d4f5540b50a91efe13ea8136d4e52ff59f5eeb100f","observation_id":"b2804bbf-6af4-4f76-9cb6-97819927d8bf","resolution":{"observed_at":"2026-08-02T19:31:23.706522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:23.918614Z","title":"Ledoux and M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:23.918614Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:7ed8441ad03f020e0152ce75d579f9f1461ce8b9a7482d21f4795ff6abf61027","observation_id":"f6d255aa-e301-46bb-83ca-1b6fd57518c9","resolution":{"observed_at":"2026-08-02T19:31:23.918614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:24.153473Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.153473Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:2869aa9e869e9393d8542215464c32214f63c384aae039b21811bab650ee759e","observation_id":"9c6621ef-1b52-4d5d-b3c8-bab9f1614c94","resolution":{"observed_at":"2026-08-02T19:31:24.153473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.18682","last_updated":"2026-04-30T22:02:22Z","snapshot_observed_at":"2026-07-31T05:48:36.527136Z","submitted_at":"2025-08-26T05:04:54Z","title":"Simple and Sharp Generalization Bounds via Lifting","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.18682","snapshot_observed_at":"2026-08-02T19:31:24.298185Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.298185Z"},"links":{"cited_paper":"/paper/2508.18682","citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:9bea286272e065f4c4cf07f36bbd0eb7e7ccfeb74e3dd77c524536b2fcc8dc6f","observation_id":"7745ef8a-99dd-412c-98ac-c47cbee168cd","resolution":{"observed_at":"2026-08-02T19:31:24.298185Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:24.395500Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.395500Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:4602683914e5d7bb523ed847d7077a07e6f83e57ef804d18448202df5c1099fb","observation_id":"8292bb09-b232-4720-aabd-28a75a436c34","resolution":{"observed_at":"2026-08-02T19:31:24.395500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:24.485413Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.485413Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:e79e3b8bb43d1e02b0090e7e7e80b33dcda409a3a618a0d167497ee5ef6146ef","observation_id":"5d5bf99d-9d72-4b6f-8591-e6a2b0948580","resolution":{"observed_at":"2026-08-02T19:31:24.485413Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:24.563587Z","title":"McMullen","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.563587Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:cc34d7f4a1d7ef19ea971f6494ba5a2f2d5646c07f2ae582f53debdb9a7a7773","observation_id":"3e24aca6-975f-40e7-b6a2-a431cbc227b9","resolution":{"observed_at":"2026-08-02T19:31:24.563587Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:24.737792Z","title":"Mendelson","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.737792Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:e20995f2baf66ef1c87d9d33f54d8c62f172690407fa4a9b9b96a4a2fb2e41ed","observation_id":"2864cb10-37c3-46f8-8631-f9339078963a","resolution":{"observed_at":"2026-08-02T19:31:24.737792Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:24.822041Z","title":"Mendelson","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.822041Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:621819c68cac9b44b5042f3c69ee82a46c9eb42afde279d5b8851a65066769f3","observation_id":"fa3c9345-9101-4a41-a1e2-f5ff8cd450e1","resolution":{"observed_at":"2026-08-02T19:31:24.822041Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:24.874246Z","title":"Local” vs. “global","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.874246Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:c25fa76981d512e30ce73087336a5b7ba81d4721fcfb18295ccb510728c71738","observation_id":"457c34ae-100c-49f1-9ecf-ce2157e231c2","resolution":{"observed_at":"2026-08-02T19:31:24.874246Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:24.974145Z","title":"Mendelson, E","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:24.974145Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:21789f055a2f4ffaad88561b28d99c8bb2e9a10fb6fd2cb2106e20b067b9c2c4","observation_id":"093152b9-c216-4b97-b134-16063b5bd14d","resolution":{"observed_at":"2026-08-02T19:31:24.974145Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.118723Z","title":"Meyer and M","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.118723Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:c474654f3a445925879f31a0d83bab352ddaa325504240696c005a4033fdacc6","observation_id":"c81d9deb-de2f-4dc7-8ff1-989d35da0649","resolution":{"observed_at":"2026-08-02T19:31:25.118723Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.227025Z","title":"Miyaguchi and K","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.227025Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:df86a4559c234cd06b8b226dd97b0d970f915f8788c3f1c0e5c5566eeac551d1","observation_id":"f2ed8e34-ae84-4a0a-89dc-f4ac0e71a70a","resolution":{"observed_at":"2026-08-02T19:31:25.227025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.280674Z","title":"Mourtada","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.280674Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:73d3cfa4507cff3dd307b3ebf95834df687f53079d5678ca3e2af18b2ebac2c5","observation_id":"03f240e7-c8b9-4545-86a8-206ce131ac40","resolution":{"observed_at":"2026-08-02T19:31:25.280674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.377827Z","title":"Mourtada, T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.377827Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:69730cf1864b92b04a9fb13042e197fc9c02cb2dd7268a38c7d479bb505a5a08","observation_id":"f0dbef96-61d0-426f-a513-44f59d169f55","resolution":{"observed_at":"2026-08-02T19:31:25.377827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.524619Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.524619Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:3e702fc159bc704e0dbaf2a0e6f45d1802cf75f3a0f5fae21d6d638a2f5e4223","observation_id":"c6c96e36-b96c-4e1a-882e-ad26974755d9","resolution":{"observed_at":"2026-08-02T19:31:25.524619Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.599181Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.599181Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:9d36f969f6fc5166ad185cbec337dabe06fb30698125b213c5b6e72385de4416","observation_id":"5f0aef9f-6f1a-49c4-a240-f2f6f1112e82","resolution":{"observed_at":"2026-08-02T19:31:25.599181Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.682745Z","title":"Pathak and N","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.682745Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:ef118d148246e42107d7aeec37d606e4001d039ebe6d4ad28b54d3b60cb454fa","observation_id":"674361e8-3b6d-40aa-ab25-125f69ec4274","resolution":{"observed_at":"2026-08-02T19:31:25.682745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.756182Z","title":"Polyanskiy and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.756182Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:108f580e97436943cb87ffe5c6040be46d0182d9b0d979ab186adacc3ca7dd28","observation_id":"e88d48ad-528d-42df-abbe-eb6af3e9b685","resolution":{"observed_at":"2026-08-02T19:31:25.756182Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:25.903205Z","title":"Prasadan and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:25.903205Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:87fdf41413db18d6e0a4d8d15186d9e9cdae411eaf57eb5ed5aee60df68c3bf2","observation_id":"d52a1cd9-a81c-443a-aa35-4fe796afe224","resolution":{"observed_at":"2026-08-02T19:31:25.903205Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:26.019658Z","title":"Prasadan and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:26.019658Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:558b319e4c91ffb637a559e78e444735d8b78415ba08594a71bf9e8098a3356f","observation_id":"14adfdc5-9047-473e-be2e-7ca05fcdd72b","resolution":{"observed_at":"2026-08-02T19:31:26.019658Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:26.147411Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:26.147411Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:ab988621c76ae15ed9cb957b49bbf043668fecf2e44b214890438f873729f312","observation_id":"6b4da972-d93f-4619-af98-2c01bc528dd6","resolution":{"observed_at":"2026-08-02T19:31:26.147411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:26.269931Z","title":"Schechtman and M","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:26.269931Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:cc505bb9ce6c8f28b3e8ee9d4937eb8526e7b706622a51fc1a23bd3023b6c30c","observation_id":"3831ee1d-06c1-4b33-b760-c5ab4cb58b40","resolution":{"observed_at":"2026-08-02T19:31:26.269931Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:26.397614Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:26.397614Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:074ca5227b3b476402361bc51e5774c28d91edb0c5fe528f3edd94107705fe00","observation_id":"5c2586e9-a71c-4513-b7f3-6c5eb62a7221","resolution":{"observed_at":"2026-08-02T19:31:26.397614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:26.634804Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:26.634804Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:ba468d73368b169cfe2bd01826e7c077ca9dfc572c6c956e5f67b89f5392d234","observation_id":"4fa81fb0-79ab-4809-a3d5-ac43c26c2a8c","resolution":{"observed_at":"2026-08-02T19:31:26.634804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:26.784453Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:26.784453Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:9a9043626ee7b160a3511aed2a384da4f892c110f72954b5bf5e4e7bd42bedde","observation_id":"091babcc-9177-4858-bdaa-f6a0437406ee","resolution":{"observed_at":"2026-08-02T19:31:26.784453Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:26.935833Z","title":"Talagrand","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:26.935833Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:8403fceb6acfb6a02f63ad79d1d5595c993e00d9dbcbeefde83499744e3c6cd9","observation_id":"2f7e7a06-aeeb-4092-844d-2b043e88f7f5","resolution":{"observed_at":"2026-08-02T19:31:26.935833Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:27.030074Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:27.030074Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:3283386c939516568c12da0263590c50e5b0f4d533599a945cfb8b71c015c3f6","observation_id":"6c37dedb-071b-4ea5-9cfb-4e73d2ea4b41","resolution":{"observed_at":"2026-08-02T19:31:27.030074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:27.121108Z","title":"van Handel","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:27.121108Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:fd96233d03e2923f90349513f9edf7a9382ca40d27b5c28c326be6aa43baa34a","observation_id":"39a1f5d0-2dda-4039-b9f0-1df7655d366f","resolution":{"observed_at":"2026-08-02T19:31:27.121108Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:27.247248Z","title":"van Handel","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:27.247248Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:177698dc7acdce34e6e7d05dc4af3175eff73a8710307d8eb376146b482d7d7b","observation_id":"23fb12a5-b49f-4a77-b0fe-ebefe9d0ccbb","resolution":{"observed_at":"2026-08-02T19:31:27.247248Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:27.335906Z","title":"Vershynin","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:27.335906Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:5432da4dabaf0808bde1c650a0bee7e8c3c76cf29c1594755f7790ad43602fbe","observation_id":"76aa2a75-203d-44fe-9c73-e3ad0ad0e0ad","resolution":{"observed_at":"2026-08-02T19:31:27.335906Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:27.526629Z","title":"Vershynin","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:27.526629Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:ca16b9ca3c995444976a369f9be5124e5ebdd8543f2a75886614415a5db38fb1","observation_id":"b9b2fdf7-bf47-4ccd-ae7b-34c810332d00","resolution":{"observed_at":"2026-08-02T19:31:27.526629Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:27.677436Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:27.677436Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:cc91ba58830fceb3a98b95c28c5c2d0b4ba67b7599d77f10eb51b059ded11f2e","observation_id":"5334e163-01f3-4cd8-87b3-3ca5f1233d2b","resolution":{"observed_at":"2026-08-02T19:31:27.677436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:27.875586Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:27.875586Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:70e68453789ee2abbe89544128e568475157105afe63d592b5b64253acb2f87c","observation_id":"814736d8-9c71-48c3-bc36-2704a6ad0e59","resolution":{"observed_at":"2026-08-02T19:31:27.875586Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:27.944131Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:27.944131Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:502b949fb8e809581e4d7aef6cf0b0859c85b29d0466e9921b38945a3e455803","observation_id":"6e570e7e-17cc-46e0-a824-8adbd1cd6d5d","resolution":{"observed_at":"2026-08-02T19:31:27.944131Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:28.011158Z","title":"Yang and A","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:28.011158Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:ddcbc630713e11338322208e56706a9184ceed31dd63cf95fade178c464de2e3","observation_id":"6155bdd9-e730-4708-8a30-2b98cfbc74be","resolution":{"observed_at":"2026-08-02T19:31:28.011158Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.10794","last_updated":"2026-07-30T10:53:40Z","snapshot_observed_at":"2026-08-16T12:50:15.179113Z","submitted_at":"2025-03-13T18:41:14Z","title":"Minimaxity and Efficiency in Exponential Family Regression: From Star-Shaped to Convex Constraints","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.10794","snapshot_observed_at":"2026-08-02T19:31:28.089952Z","title":"Yi and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:28.089952Z"},"links":{"cited_paper":"/paper/2503.10794","citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:2fb9c9aa5d0aeae93e9217491d946f47fa84d050f7d8d9310a032a36c5afd581","observation_id":"79becaba-d8c4-4e0b-a954-412d92149ae0","resolution":{"observed_at":"2026-08-02T19:31:28.089952Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:28.151130Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:28.151130Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:25344d911c6d52327e3401d13a8ca19267a2f62a9d5abdbb35b0f6fa549ce53e","observation_id":"421f99ed-5105-4c6d-a9dd-cf52c21653d2","resolution":{"observed_at":"2026-08-02T19:31:28.151130Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:28.215316Z","title":"Zhivotovskiy","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:28.215316Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:75d324eec73885033c5b8a43397857cf02dc91a51f0a9ba2d11526bc935442d7","observation_id":"084b2d14-2cff-4697-be5f-7c81956f0a62","resolution":{"observed_at":"2026-08-02T19:31:28.215316Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:28.263009Z","title":"0. Let us also introduce the fixed point εpσq“ sup","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:28.263009Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:08748c2cc25e9df2e8d01149540fc907ade00e631a73dfedd715aae80cb561c3","observation_id":"c23e4e43-0b33-4208-9ec3-a728197d7e01","resolution":{"observed_at":"2026-08-02T19:31:28.263009Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:31:28.347883Z","title":"ε1. We obtain the guarantee ε2 ‹pσqď sup θ‹PT EY„Npθ‹,σ2Idq","venue":null,"work_id":null,"year":2048},"citing_paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-02T19:31:28.347883Z"},"links":{"citing_paper":"/paper/2603.02714"},"observation_digest":"sha256:a9133796f1a77e897e5602386d9b25a29c0b00ecbc51f976ada71445f1c22334","observation_id":"ca34b85b-3dba-4194-bf31-627a3541baf3","resolution":{"observed_at":"2026-08-02T19:31:28.347883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2603.02714","last_updated":"2026-06-03T17:03:01Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-08T23:23:59.622920Z","submitted_at":"2026-03-03T08:08:45Z","title":"Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes"},"reference_resolution":{"displayed":70,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":70,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":70},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 2 inbound Pith citation observations for arXiv:2603.02714."}