{"as_of":"2026-08-12T03:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:51a2d208db0caa7d24a8fdd6912b67f1221b53a41fd6e1d3d79e4610290f09ab","coverage":[{"denominator":79,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":79,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T10:59:27.718581Z","state":"measured"},{"denominator":81,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":81,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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":"2026-08-11T05:53:54.427714Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-13T04:57:17.406869Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.16054","snapshot_observed_at":"2026-08-11T05:53:54.427714Z","title":"Prochno, C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.17475","last_updated":"2024-12-23T11:00:34Z","snapshot_observed_at":"2026-08-11T10:03:45.513719Z","submitted_at":"2024-12-23T11:00:34Z","title":"Strange shadows of $\\ell_p$-balls","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T05:53:54.427714Z"},"links":{"cited_paper":"/paper/2412.16054","citing_paper":"/paper/2412.17475"},"observation_digest":"sha256:2b62a8e061e5b43a5b8c640e979c2f3ab8044e414ddded5f33d5a3ffcc1f828c","observation_id":"36b063f8-e88c-4ab7-a3d2-3c72961b0f46","resolution":{"observed_at":"2026-08-11T05:53:54.427714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"cited_work":{"arxiv_id":"2412.16054","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.16054","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Prochno, C","venue":null,"work_id":"6c3c254a-254b-402e-ae81-ef102e54f7fe","year":2024},"citing_paper":{"arxiv_id":"2605.11995","last_updated":"2026-05-12T11:46:23Z","snapshot_observed_at":"2026-07-06T23:23:44.276236Z","submitted_at":"2026-05-12T11:46:23Z","title":"Intrinsic volumes of $\\ell_p$-balls and a continuum of Maxwell--Poincar\\'e--Borel laws for their curvature measures","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-13T04:55:38.638104Z"},"links":{"cited_paper":"/paper/2412.16054","citing_paper":"/paper/2605.11995"},"observation_digest":"sha256:537555356e376d5770f53834e2dbe1b09a8fbf89edf12b769746907493e2df2d","observation_id":"545f5baf-73d5-431e-8911-d770ddd87501","resolution":{"observed_at":"2026-05-13T04:57:17.408218Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.16054/citation-record","integrity":"/paper/2412.16054/integrity","json":"/paper/2412.16054/citation-record.json","paper":"/paper/2412.16054"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:59:29.096589Z","title":"pages xvi+951, 2010","venue":null,"work_id":"df27a027-33db-455e-9efe-1ce70f8ed9e5","year":2010},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.302591Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:b0294a4368177c76ee306d207a516801a8476e5b94ace2e10bbd45e6b74cd90d","observation_id":"2ad7f70a-7b97-428f-84ed-afada03e2e32","resolution":{"observed_at":"2026-08-11T10:59:29.101653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:29.079612Z","title":"Adamczak, P","venue":null,"work_id":"f0415505-11a6-4b9b-bdfd-d84add7f7463","year":2024},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.308469Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:0d69cd384dd68400e73648df9a2d0bf10521617b79330260c2e2ca01a8d66be0","observation_id":"b0e53021-8310-4eba-885f-256cf6b5ea75","resolution":{"observed_at":"2026-08-11T10:59:29.084619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:29.062998Z","title":"Alonso-Gutiérrez","venue":null,"work_id":"77886e5b-9169-435d-908d-207585ee444f","year":2008},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.313693Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:af5e6dc30d714feb2e5cae09abb3a26e3a2be68dc10bbacf9228edc85b8d071a","observation_id":"ad906a12-3453-4e1c-a90e-068c5b23c3e6","resolution":{"observed_at":"2026-08-11T10:59:29.067813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:29.044922Z","title":"Alonso-Gutiérrez, J","venue":null,"work_id":"2ead76a3-539c-43a5-bf2e-3174dff1413a","year":2018},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.319031Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:71ada1ab1f85dea19080c7870b7957ec0d81145109e0df126dc65c680c0288ae","observation_id":"879be07b-4337-4e62-9c94-95e868a7a97f","resolution":{"observed_at":"2026-08-11T10:59:29.050183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:29.027292Z","title":"Alonso-Gutiérrez, J","venue":null,"work_id":"c897c0ea-f18b-4f8b-a406-5a77926813b2","year":2019},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.324133Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:a832b4979780d74486d613042518973a4716b73221f478aec84f71c897b65f40","observation_id":"1e824f5d-f3e6-4c0d-95f3-69a117f98e36","resolution":{"observed_at":"2026-08-11T10:59:29.033468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:29.008800Z","title":"Alonso-Gutiérrez, J","venue":null,"work_id":"d9d2aed1-a917-4ad9-93e7-01cfca148cdc","year":2021},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.329548Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:ef884e8d0540e8e070d2ecd76a3fa17c9271d6606d740887be8123953455e8e7","observation_id":"0f2aa231-0c8f-4c5a-84c2-95c6b82688f0","resolution":{"observed_at":"2026-08-11T10:59:29.015492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.991747Z","title":"Artstein-Avidan, A","venue":null,"work_id":"f2c9c19c-d80a-4098-bb58-f22bb1636253","year":2015},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.335422Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:1af5876618657f8482f288b5f99b432b6160b44fb995fb7c918748b2f3eef97a","observation_id":"e9bf8c30-d3b6-4fff-85b6-2cac123104c9","resolution":{"observed_at":"2026-08-11T10:59:28.996667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.975786Z","title":"Aubrun and S","venue":null,"work_id":"07f25b89-4503-42c0-9abd-de61572a98ef","year":2017},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.340754Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:36943c40e610caaafb7f0d0d2209e1db45dc3ac365d50fc973c0589dfcdc5c33","observation_id":"d5178556-1a10-46ce-9a59-ad8fd4faf7c5","resolution":{"observed_at":"2026-08-11T10:59:28.980966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.959016Z","title":null,"venue":null,"work_id":"096005bc-7ec0-4d7f-9ec2-0d6c047a7cee","year":1979},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.345727Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:21fa8c8fc7b77e1f7079db92def46ae918be65be4d886e14262eb6e52498aed7","observation_id":"70f2ddc6-d520-43fb-8630-6f7f3993dc4d","resolution":{"observed_at":"2026-08-11T10:59:28.964459Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.940727Z","title":"Bárány and V","venue":null,"work_id":"0b281b8a-429c-4d3b-b36a-7259958ef0f2","year":2007},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.350944Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:e0e1bea91a3e81b47bd388a5f4d4beae0593a452e47c4f1357d7c74d3396b236","observation_id":"36ed4678-2d5b-432c-a2e2-afac876b043b","resolution":{"observed_at":"2026-08-11T10:59:28.946787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.921918Z","title":"Barthe and P","venue":null,"work_id":"ead4a19f-e75c-4f26-92ca-f2897000d856","year":2020},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.357306Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:21ebf08cc42f1abc73804c281ccac806f287e520af1c3f7c2040f2cf66156d6d","observation_id":"2e18d6db-34a5-4f0a-99f0-9078cb998d5d","resolution":{"observed_at":"2026-08-11T10:59:28.928283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.902177Z","title":"Probability, volume 7 of classics in applied mathematics","venue":null,"work_id":"da294bbf-54cc-4ce3-bf3e-b812f6238e17","year":1992},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.362597Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:dc99303d94656b1c253355641245f5e9344c1a941402d4d5d0aef5a1668b184f","observation_id":"feedcb91-108c-4ae9-a202-87e72de82081","resolution":{"observed_at":"2026-08-11T10:59:28.909414Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.883013Z","title":"Chafaï, O","venue":null,"work_id":"53158902-5ca0-4483-92c8-5167de86af7e","year":2012},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.367658Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:067c72b3c3d6b897a5dc845502823d7d6e58ec5a1294e3282ae2947ff570b674","observation_id":"f02131ac-0316-4bd1-bb93-7e726ff5bfc6","resolution":{"observed_at":"2026-08-11T10:59:28.889709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.866190Z","title":"Chasapis, P","venue":null,"work_id":"90121ee0-bc95-45a0-b79a-c9cfdb86fc73","year":2022},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.373556Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:a66a804ebb23a42eba7d115f96178a5dc5f3920ddcce5660cd597a632b94b1d9","observation_id":"1777bb8b-7303-43ad-8bd2-54d29bc438f1","resolution":{"observed_at":"2026-08-11T10:59:28.871611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.847939Z","title":null,"venue":null,"work_id":"58c3b34c-4a3c-44b1-add8-144ba6556fa2","year":2021},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.378925Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:a8f0c2717927fa57737f52295293a9941e609f8d154837291102922312c2e859","observation_id":"bb0ea377-a258-41d3-9f3b-6ad1bb836f5e","resolution":{"observed_at":"2026-08-11T10:59:28.853503Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.828086Z","title":null,"venue":null,"work_id":"fd94a87f-4132-42a0-95c1-36fcb17bd719","year":1992},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.384743Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:4b1ca6874b0e51c0532b538ecb50fc005d2b936e2a3a0223756bbc0f97fa49ae","observation_id":"1480d169-e664-438d-977e-b15a73a306c0","resolution":{"observed_at":"2026-08-11T10:59:28.834411Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.808790Z","title":"Dadoun, M","venue":null,"work_id":"164614d5-0fe7-45a1-aed9-b4d364454014","year":2023},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.389668Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:95fecd4dd32a0d3b96a92e107ee1044b64fa594b92e4e87fe3655ea227fb8430","observation_id":"b14c2c73-fbc1-4314-9f76-eb36d3ed27ff","resolution":{"observed_at":"2026-08-11T10:59:28.815295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.789874Z","title":null,"venue":null,"work_id":"58b7ae3c-f65b-4331-8e04-3ab6d4ff80b5","year":1987},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.394982Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:ca18669f5088b41b9781631a6c177f51f9374bcb2a12c91d1cf16ac86d2310f5","observation_id":"5ff5f685-5f65-46af-9e01-7da578f95ec1","resolution":{"observed_at":"2026-08-11T10:59:28.796070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.773001Z","title":"Del Moral and A","venue":null,"work_id":"df17f0cd-048a-4f24-ad79-75033db45c99","year":2018},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.400449Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:a9b4b6f3b22e801167ed1b1130e598182a8b237824f008f0f49944d630ae5ff1","observation_id":"94302186-90a1-41d3-937b-dbc53a97bf11","resolution":{"observed_at":"2026-08-11T10:59:28.778122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.756195Z","title":"Dembo and O","venue":null,"work_id":"b6fa182c-8d5f-49ec-a983-6fdb21e2b745","year":2010},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.406101Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:ac3ca6e6a99eb325688a15ec4c39b18b49b69b6911f8d8d37c56e4091ad56d1c","observation_id":"0714055c-59d0-4b7e-9051-381993206ebc","resolution":{"observed_at":"2026-08-11T10:59:28.761144Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:59:27.412514Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.412514Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:a2ae4d6c6299f1659c99e5315c63c960732e1e3dc209edf0df00fe108219b486","observation_id":"e9ec06e1-5b62-42b2-ac4b-27ca7856e97b","resolution":{"observed_at":"2026-08-11T10:59:27.412514Z","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":"2026-08-11T10:59:28.726560Z","title":"Eldan and O","venue":null,"work_id":"8fea58e4-09e5-4b3f-a9f0-c7d453059385","year":2016},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.417808Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:aa426f18656a16a12550f9eea25bc573fd9c7bde32d375b3859fcba222b9ade6","observation_id":"0861bb9d-80b5-42f4-9b9f-0b9aabe05114","resolution":{"observed_at":"2026-08-11T10:59:28.732747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.711009Z","title":"Figiel, J","venue":null,"work_id":"50c31706-8e73-4f67-8fb8-6ba6ea6daa2a","year":1977},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.422673Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:879c8c5bcd9790092eb53f1c80263a6adfb8329c184c58f39947fc6ed8126d3a","observation_id":"381df7fb-7b8b-44de-beac-800fe1e62e05","resolution":{"observed_at":"2026-08-11T10:59:28.715545Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.694242Z","title":null,"venue":null,"work_id":"dc2637dd-d10b-4493-8c9a-e45bf0b54935","year":2005},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.428365Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:c0299bde07eb174294d829b1f45e132d24ea4eda4b57041fd15f4a4cb7950e07","observation_id":"b90278da-f23d-4fa4-b00b-0d2c190bd952","resolution":{"observed_at":"2026-08-11T10:59:28.700546Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.677929Z","title":"Foucart and H","venue":null,"work_id":"3b9c43b9-997a-445d-9600-799e809b988a","year":2013},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.434684Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:ba1f322118fcbc4b8b85cfdd25d001a975e3820edd2cc0bec2d165845fa01e2e","observation_id":"9d0b0eba-2b0c-4d80-9225-ae66ab3145a1","resolution":{"observed_at":"2026-08-11T10:59:28.682722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.659589Z","title":"Frühwirth and J","venue":null,"work_id":"0fd6c378-0b04-4a69-abad-72aa025108c3","year":2024},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.441131Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:85ecc29b3ea095a83a171c8cc3814a83c19361ddc412793b816abd0c23ac2fbe","observation_id":"0b75f634-609e-44d6-a0ae-d72537c50159","resolution":{"observed_at":"2026-08-11T10:59:28.665178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.642565Z","title":"Gantert, S","venue":null,"work_id":"96dda950-7efe-4f7b-a5e8-adf470cfa185","year":2015},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.447692Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:3627c230923c04da1c1d95ed228a1d23a17ffbf83b91b948b3f9b952b7e946c9","observation_id":"39d62265-cbb2-441c-85f8-2bc9cc914fae","resolution":{"observed_at":"2026-08-11T10:59:28.648578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.625685Z","title":"Gantert, S","venue":null,"work_id":"2175e195-5ce4-4753-870f-26d108af1c48","year":2017},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.453161Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:66629124b1fb32e2eb4917862833c478a056e0fe56744edb41000154665fef26","observation_id":"e4707981-aa47-4c2f-a092-ec086418ecec","resolution":{"observed_at":"2026-08-11T10:59:28.630748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.610955Z","title":"Gao and X","venue":null,"work_id":"72736ed9-b059-4a48-a3ac-fad74885261c","year":2011},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.459233Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:98411356992175c6217235cd89e02cb4acfda681cbd6fcea9560837ad29b1a97","observation_id":"11cddbbc-bed2-4770-8c31-be93960e2894","resolution":{"observed_at":"2026-08-11T10:59:28.615813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.595252Z","title":null,"venue":null,"work_id":"2d0a2be2-6b7f-44e8-9587-2bee416677f3","year":1974},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.464224Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:01bcebd9a32f8a729e6e7a6d4c3afd40ffd04236335437d68dd6a0248937d206","observation_id":"20c0da00-fa39-4ed3-84e4-78de8b18cadf","resolution":{"observed_at":"2026-08-11T10:59:28.600163Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.579362Z","title":"Hinrichs, D","venue":null,"work_id":"2cc6a5d4-2b24-44ec-be48-d066fb1bd4d2","year":2021},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.469192Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:d61f1bc2d9aee14cbe02246d85813e5fb3f2398e299138a5380165cb8be4aa02","observation_id":"1c0e4417-53a7-470a-9d72-3d11ca59c726","resolution":{"observed_at":"2026-08-11T10:59:28.584490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.563113Z","title":"Hinrichs, J","venue":null,"work_id":"a38cbe77-dfaf-4d5a-90d7-75cd0f0880e8","year":2019},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.474148Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:6ea4c235949bcaccaa8f4a83e5f3713b016757b397af6237e2a38942c5077e41","observation_id":"deac94ac-ea6a-43ef-94e4-38c79afd01d1","resolution":{"observed_at":"2026-08-11T10:59:28.568268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.546659Z","title":"Hu and T .-Y","venue":null,"work_id":"f655badd-7d96-4cac-829f-167bb47e5255","year":2003},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.478712Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:eceee6f7f45244b853b0477bb4f75d51fdf8906213067ef66f55532fb20d27cb","observation_id":"4599db14-2392-49fc-915a-c54a74cd0c87","resolution":{"observed_at":"2026-08-11T10:59:28.551995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.531072Z","title":null,"venue":null,"work_id":"f1741fcd-0f89-41f4-ab4c-481544fd596b","year":2016},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.484057Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:69f358e8c1d4d312b5cd9c17a3a71ab39f5090986ac1e063cae1b96c0fea6064","observation_id":"ce78efc0-3d34-4bc0-b8a3-e9f6aa71fb34","resolution":{"observed_at":"2026-08-11T10:59:28.535929Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.514012Z","title":"Hug and M","venue":null,"work_id":"5a69ce78-308c-42dd-800c-8f86caebde91","year":2005},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.488624Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:fd365bc11151af8aac4b595223c82464ebd30b0e6b23a5c5cb30135d4cd8d55e","observation_id":"58c63674-2a87-427f-b102-24d19a97cfa3","resolution":{"observed_at":"2026-08-11T10:59:28.519069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.496958Z","title":"Johnston and J","venue":null,"work_id":"c321ea10-1d84-4fb8-9979-49d5524f2b2e","year":2022},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.493970Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:080a4e1ac50084ff04f698a60749d957264c0a47939e584fe1cd6c10c3eb9e41","observation_id":"cf5e7a00-1654-4905-b51e-60aedf3a4fc7","resolution":{"observed_at":"2026-08-11T10:59:28.501695Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.481575Z","title":null,"venue":null,"work_id":"75ceb32c-de92-4eba-baca-e46e5a79c5eb","year":2023},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.499772Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:0470caf522b9552ddb7b32001fe0964f91ead3d481ca30ebfa6a7472eaeb3210","observation_id":"daa4e258-4e89-4dc1-99cf-191368172543","resolution":{"observed_at":"2026-08-11T10:59:28.486487Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.07145","last_updated":"2024-04-10T16:22:47Z","snapshot_observed_at":"2026-08-03T10:11:06.207214Z","submitted_at":"2024-04-10T16:22:47Z","title":"Asymptotic theory of Schatten classes","version":1},"cited_work":{"arxiv_id":"2404.07145","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.07145","snapshot_observed_at":"2026-08-11T10:59:27.869802Z","title":"Asymptotic theory of Schatten classes","venue":"math.FA","work_id":"2c892b0c-993d-473d-a0eb-3145e0e34899","year":2024},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.504596Z"},"links":{"cited_paper":"/paper/2404.07145","citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:fffcd8257849536e07a8f9f17c7ee4fd06c6efcb9afd57dc0c62d84e5f2ad367","observation_id":"e1ea18fd-1e1e-4bf5-9309-c436982461b6","resolution":{"observed_at":"2026-08-11T10:59:27.877360Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.465969Z","title":"Kabluchko and J","venue":null,"work_id":"eb44aea3-11ac-4b87-92bc-a2136d56faac","year":2021},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.509673Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:5307f93fdc6808d3d7acc8e893c4beecbec7244a464a7206542e3c0001df2ed5","observation_id":"21264b5f-9647-4c6d-8c19-1a5552fa08e6","resolution":{"observed_at":"2026-08-11T10:59:28.471257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.450488Z","title":"Kabluchko, J","venue":null,"work_id":"62e604ba-d4c8-440a-9d95-06dde23ec396","year":2025},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.514486Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:3b5ea216616e77e0e5812c513c5d700d60382feda17d0ef9cfdc59bc40a40098","observation_id":"722cc227-4eb3-47d3-b145-c2ce08648951","resolution":{"observed_at":"2026-08-11T10:59:28.455993Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.434280Z","title":"Kabluchko, J","venue":null,"work_id":"f95c0d36-26c7-42ad-a0c5-5bff0291dd56","year":2019},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.519486Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:fa149318915bfbc25db1d3f6b94d3ca4f35485ea5261b0bec393c3b9eca4cc3a","observation_id":"6c04d934-dfb5-48b7-877b-740f0769cf24","resolution":{"observed_at":"2026-08-11T10:59:28.439417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.411722Z","title":"Kabluchko, J","venue":null,"work_id":"d4d39100-4649-4350-aa17-d92679688ed3","year":2020},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.524290Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:2dd5bb9b47fd5c5f167c3234d8b419cdb6a5d92d93628bf41cc85c6dcd101747","observation_id":"34089129-25e8-423f-bb22-9d176d456163","resolution":{"observed_at":"2026-08-11T10:59:28.418049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.395902Z","title":"Kabluchko, J","venue":null,"work_id":"98dc4445-9f0d-43b6-bb3d-6331b9c7af42","year":2020},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.530193Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:f643bc1107d7420f62dada06e83d88f8a40d244704f22adfcab777fa840ad3cb","observation_id":"80217f62-6379-459d-b23d-dbbc11e04bec","resolution":{"observed_at":"2026-08-11T10:59:28.400551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.379689Z","title":"Kabluchko, J","venue":null,"work_id":"c84399ab-8dc6-4a3b-a138-06fdfbb0e8ad","year":2021},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.535151Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:d585bcd76eb3c0762972c92da233eb51a206bdd0959b9ee1db878ee187a401a4","observation_id":"dccd4261-0069-40c5-8040-b38fe3d2a6e7","resolution":{"observed_at":"2026-08-11T10:59:28.384552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.363306Z","title":"Kabluchko, J","venue":null,"work_id":"f09cdbb8-c4a2-4e3a-879c-023d7023688f","year":2021},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.540314Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:27ae1514b41602b0073751d7ab468b23e33d8269e197b64930709c571f92b1fc","observation_id":"b5e2c576-3f43-4de5-bd08-c92cc5da900d","resolution":{"observed_at":"2026-08-11T10:59:28.369094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.346540Z","title":"Kallenberg","venue":null,"work_id":"d64ed255-e60f-41e3-9ebd-dd2b3a30a37a","year":1997},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.545302Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:60d02446e8d67048f8ac966510112ee6baa41bfc1b0e60ffe32990aa31f8827f","observation_id":"da70567d-7c35-4aa4-82d7-8bf946df74f8","resolution":{"observed_at":"2026-08-11T10:59:28.352606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.330757Z","title":"Kaufmann","venue":null,"work_id":"6cd56c73-918f-439a-bcf8-daf827706cfe","year":2021},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.550726Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:ed7774600dc4fb833016476bc41af0eb7d3743cf087f980b9af57a3e5ac6266a","observation_id":"fccd83bc-c575-4a61-a412-ed292b7e6108","resolution":{"observed_at":"2026-08-11T10:59:28.336491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.313284Z","title":"Kaufmann and C","venue":null,"work_id":"d91bcb33-4f4a-4e8b-a036-eb6f8751c399","year":2022},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.555623Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:a89c81c2f582d15344c625d7f7f85712a21a1cca899c3f33f31a5ed89839ee40","observation_id":"1c64964f-d019-41ca-b1f2-62df1ed4a7d5","resolution":{"observed_at":"2026-08-11T10:59:28.319507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.294603Z","title":null,"venue":null,"work_id":"727bdac7-8a94-417a-9b90-dd6c21e9a8c5","year":2017},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.561286Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:4bd159b3510efa58e39ef3ccc0d9bb174a9c04b34cbe0af74698e8c8d5d182be","observation_id":"7770cc94-4ff4-4aaa-9ed7-07ceec0d24f5","resolution":{"observed_at":"2026-08-11T10:59:28.300425Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.276819Z","title":null,"venue":null,"work_id":"9d9a5088-d2f1-4d58-bf9a-3ddb37971bd8","year":2022},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.566366Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:879999f83c685c9fe49215a03ed93dc7357b15e5f9742c7b63e0601e9628f4b6","observation_id":"65438341-83b1-4276-a68f-61e54245fdf8","resolution":{"observed_at":"2026-08-11T10:59:28.282607Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.259880Z","title":null,"venue":null,"work_id":"f3102373-134d-4979-97c7-ceebae59e8a8","year":2018},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.571909Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:211a61067991577f5e3f93db05177c051d710ed769d5a62eafba3b06b816c78d","observation_id":"1a18c311-6d16-4071-a5ea-ffbb612eaf83","resolution":{"observed_at":"2026-08-11T10:59:28.265294Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.243808Z","title":null,"venue":null,"work_id":"c355baaa-d753-4afb-87ac-f01b0e47e1d4","year":2023},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.576795Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:c8dc679cc80b985ef8563ff7b649ca67bf480275ce0212ed9c13fc67f27c666a","observation_id":"2b1f96e7-4489-4698-98a0-292fe6953379","resolution":{"observed_at":"2026-08-11T10:59:28.249257Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.225665Z","title":null,"venue":null,"work_id":"dd00d5b2-eab9-45c2-b17d-91ccc0002366","year":2007},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.582543Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:382a4e357d591a7e9eed496992e6d2b3ced45ee81694bfb5eaff6758bb1466fd","observation_id":"c9e7ac1e-4bf1-4622-a1f3-022074d73a3d","resolution":{"observed_at":"2026-08-11T10:59:28.231338Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.208517Z","title":"Klartag and J","venue":null,"work_id":"cacb6d5a-5ad7-4228-864e-8cb8983e708d","year":2022},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.587803Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:f4e2edb47369b515d6cd28478864fe76090f2541a2084f24b2ac7d88833330a4","observation_id":"ccfdcabc-e4a1-489a-a2e8-3972e0ebb1a5","resolution":{"observed_at":"2026-08-11T10:59:28.213518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.15044","last_updated":"2024-12-19T16:52:00Z","snapshot_observed_at":"2026-08-11T11:38:46.572399Z","submitted_at":"2024-12-19T16:52:00Z","title":"Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.15044","snapshot_observed_at":"2026-08-11T10:59:27.592507Z","title":"Klartag and J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.592507Z"},"links":{"cited_paper":"/paper/2412.15044","citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:f1d218de949654d55f982d274029bd4f192979fc93e6b9d2801c046ee0873d92","observation_id":"e9fff1cb-cbe8-4759-ae9e-6417fe1a5fa3","resolution":{"observed_at":"2026-08-11T10:59:27.592507Z","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":"2026-08-11T10:59:28.191547Z","title":"Koldobsky and M","venue":null,"work_id":"b811b575-4b21-4be5-a78c-2fdd8307644a","year":1996},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.597603Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:03428c162020373b6e8db28e10e29b74be3c9272737516d7cf58ff8836042961","observation_id":"df64b84d-46e2-4693-88a3-d63488641f59","resolution":{"observed_at":"2026-08-11T10:59:28.197286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.174566Z","title":"Ledoux and M","venue":null,"work_id":"eea1902f-a467-48c6-8848-ab70687ece36","year":2013},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.602507Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:532beb01b1eb90b5f148652ca6697bbb12a9c4a511cdb284f7571a4c4f25453f","observation_id":"efe36ff2-0087-4fb8-8cff-6518900ee61f","resolution":{"observed_at":"2026-08-11T10:59:28.179967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.156678Z","title":null,"venue":null,"work_id":"e27150c0-446c-485c-b47f-16193eab2940","year":2024},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.607651Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:f86feb890ca47a3f2ee17d801db2c7916e88ef20c3b05890dc01c0d2e6be6946","observation_id":"e79f16f3-f12e-47f7-bec2-01d10e653f19","resolution":{"observed_at":"2026-08-11T10:59:28.162670Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.140419Z","title":"Liao and K","venue":null,"work_id":"12d63f64-4c64-47a4-b643-7593189c5650","year":2024},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.612513Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:97b160ced3dbcaf5ccfe8e3f0a22dca4a9a58742863f94264883d01429fe8005","observation_id":"e199a2a2-bc93-4575-b02f-4be7777ff6b2","resolution":{"observed_at":"2026-08-11T10:59:28.145384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.00649","last_updated":"2023-08-01T16:28:22Z","snapshot_observed_at":"2026-07-06T16:01:18.530479Z","submitted_at":"2023-08-01T16:28:22Z","title":"Quenched large deviation principles for random projections of $\\ell_p^n$ balls","version":1},"cited_work":{"arxiv_id":"2308.00649","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.00649","snapshot_observed_at":"2026-08-11T10:59:27.830241Z","title":"Quenched large deviation principles for random projections of $\\ell_p^n$ balls","venue":"math.PR","work_id":"328b0cf7-baa0-4f92-ad6a-dda69d2a7acb","year":2023},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.617980Z"},"links":{"cited_paper":"/paper/2308.00649","citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:f650416f722db7e8af31f2eb02a154638447a8384c48493e9b0517d5a7a2c74c","observation_id":"e9303600-b821-4702-93e0-670980ee688d","resolution":{"observed_at":"2026-08-11T10:59:27.835583Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:59:27.623074Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.623074Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:077224a97740ea9e6f65caf0e8cd63506165604fe86de3f56c6c3a7177de9b32","observation_id":"a4a30865-8ed2-4b20-a87a-e3900bd999d7","resolution":{"observed_at":"2026-08-11T10:59:27.623074Z","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":"2026-08-11T10:59:28.112800Z","title":"Mendelson and P","venue":null,"work_id":"b3630f28-0e0e-40ce-a73b-699778ace5a0","year":2004},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.628778Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:04dbe01672026a6f98e724406d786bc45012e4c6edf5deab128bb04b0c57d287","observation_id":"c349cf75-c04c-4ef1-bde8-1a26c4f0e489","resolution":{"observed_at":"2026-08-11T10:59:28.117929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.096827Z","title":"Mendelson and A","venue":null,"work_id":"a60024c7-d009-4ee7-9838-b1bd198b4249","year":2002},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.633525Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:89da8bb1724fd191f9e25a5cc6db9ac475fc1079566bab465e068bfb83efe7cb","observation_id":"8cfa4962-b765-42af-9b64-f3420fd831b1","resolution":{"observed_at":"2026-08-11T10:59:28.101472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.080872Z","title":"Nayar and T","venue":null,"work_id":"934ff6b6-0e17-4ec1-9e4c-45e1dad4eb24","year":2020},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.638984Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:91c83ce74ff672094f57aa315b5b8837d22a0eb6011960590dd17ce748068975","observation_id":"5f0eaa1d-b50f-4b8e-90ac-379b943b319a","resolution":{"observed_at":"2026-08-11T10:59:28.086693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.064761Z","title":"Paouris and P","venue":null,"work_id":"3a8bee5c-619b-4046-a2f6-9697c5faf458","year":2013},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.643670Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:8d34db23f6775937bb205cc4580a52bbf87036d2b9747c742eed17fecb2de744","observation_id":"c2b1fbee-d3f4-4eee-acfb-898357a0afa2","resolution":{"observed_at":"2026-08-11T10:59:28.070196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.047514Z","title":"Paouris, P","venue":null,"work_id":"8035e648-509f-45fb-b2e5-9e580040ce58","year":2014},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.649306Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:0a00181417ff9af20de08bc1699c0eba81a13aeb77ed4478865dec14487d6af5","observation_id":"4f2b5ace-4d95-4c62-876b-f77c5c7a5a5a","resolution":{"observed_at":"2026-08-11T10:59:28.052811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.03940","last_updated":"2024-03-07T18:31:47Z","snapshot_observed_at":"2026-08-08T21:59:16.019542Z","submitted_at":"2024-03-06T18:49:25Z","title":"The large and moderate deviations approach in geometric functional analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.03940","snapshot_observed_at":"2026-08-11T10:59:27.654183Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.654183Z"},"links":{"cited_paper":"/paper/2403.03940","citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:0d5a9196823a288087eca285ac90c28a1f98ab1887964e8ff9c136e52baa95ce","observation_id":"98a03402-1061-4434-aa16-2ce6f970be73","resolution":{"observed_at":"2026-08-11T10:59:27.654183Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.09075","last_updated":"2024-12-12T08:59:33Z","snapshot_observed_at":"2026-08-11T17:18:52.660387Z","submitted_at":"2024-12-12T08:59:33Z","title":"A note on Bourgain's slicing problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.09075","snapshot_observed_at":"2026-08-11T10:59:27.659797Z","title":"Qingyang","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.659797Z"},"links":{"cited_paper":"/paper/2412.09075","citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:d90df72eafc9e6907e7a2d3e9fd727dbe762a25105912b7fce7f6989dba3fc76","observation_id":"a7b44023-52cd-4b9f-b280-6066e887e94a","resolution":{"observed_at":"2026-08-11T10:59:27.659797Z","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":"2026-08-11T10:59:28.030344Z","title":"Reitzner","venue":null,"work_id":"6eea9a2d-9a31-4f98-aa45-163ff9e1a10d","year":2005},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.664741Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:e39e8a212600a8ba84f4854d2d4ffbbac197d70bab9463c47eb127d3c611f22d","observation_id":"ef506007-1649-4bc1-a9ef-cccbbe483dea","resolution":{"observed_at":"2026-08-11T10:59:28.036644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:28.013627Z","title":"Roemisch","venue":null,"work_id":"757eacf3-7cb3-4098-8980-4e7c4d3af3ba","year":2006},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.671175Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:df1f617ed7608656b977cc941718df0e3c0b9b129f9634f19b0e08a17a47cf15","observation_id":"d9801894-726b-44b3-8424-0399e99c6423","resolution":{"observed_at":"2026-08-11T10:59:28.019486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:27.997691Z","title":"Schechtman and M","venue":null,"work_id":"ff4bac2f-5b35-446a-9933-d0a1fc4835d8","year":1989},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.676672Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:c715a278b79b40fcabdb46f7efa1ed850465b960865f817edfc7f8caf51544ad","observation_id":"1ff89468-fdf7-480e-9bee-bcd6203e1f45","resolution":{"observed_at":"2026-08-11T10:59:28.002764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:27.981181Z","title":"Schmuckenschläger","venue":null,"work_id":"75d0f215-07fc-4853-917f-fce376f18a7c","year":2001},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.682540Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:48e0a774e6948a96ffd77181c8cec807b66b84350b95a5d4e9ab2651d20609f8","observation_id":"36803480-d04e-4e9f-a967-c57e79e2b461","resolution":{"observed_at":"2026-08-11T10:59:27.986814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:27.962740Z","title":"Schneider","venue":null,"work_id":"88424308-41c4-45c6-b9f8-b071e7dbb5cb","year":2013},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.687148Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:9ef0f118b00c0afb6f67b05499492d5dcb845cf7a4a671251a195be9bf6e2693","observation_id":"0eff7e19-7fff-4713-a152-c9551ac4837d","resolution":{"observed_at":"2026-08-11T10:59:27.968138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:27.945715Z","title":"Schneider and W","venue":null,"work_id":"46f8c892-3b43-4fdf-9802-dbfd7aafd126","year":2008},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.692351Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:d506f7568563d7f680a41182756e0961eb02a55c339f5895131794183c5c1ef2","observation_id":"69fa53c9-4a49-44aa-ae5f-66b60b38a90a","resolution":{"observed_at":"2026-08-11T10:59:27.951766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.10635","last_updated":"2025-01-27T23:58:42Z","snapshot_observed_at":"2026-07-06T16:08:29.285279Z","submitted_at":"2023-08-21T11:14:05Z","title":"A note on critical intersections of classical and Schatten $p$-balls","version":2},"cited_work":{"arxiv_id":"2308.10635","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.10635","snapshot_observed_at":"2026-08-11T10:59:27.772610Z","title":"A note on critical intersections of classical and Schatten $p$-balls","venue":"math.PR","work_id":"0adc0c40-d7f3-4b66-a669-0aa7c0bd79a4","year":2023},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.697194Z"},"links":{"cited_paper":"/paper/2308.10635","citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:e28c40f9babed2785d59e1825da56a2561e995db071d1e67dee3b7355370be27","observation_id":"46998e37-0765-4a25-9626-7c5980f1836f","resolution":{"observed_at":"2026-08-11T10:59:27.779725Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:27.928038Z","title":"Turchi and F","venue":null,"work_id":"e508de89-5c09-4ddb-a430-5523a800e956","year":2018},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.702739Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:7a3f57aabdb210044a96136dedc7c5977b46b74c3466f098b10584dcd304ccdf","observation_id":"0409926c-f29d-4bff-b329-bdd7cf11866c","resolution":{"observed_at":"2026-08-11T10:59:27.933904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:27.905843Z","title":"Vershynin","venue":null,"work_id":"98ff8ece-9b11-49cd-8ab7-183359e6ef26","year":2018},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.707491Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:c0e849970217c10d591dd80eacffc35c586e2bb206eaa96b373bb02405c1ff9a","observation_id":"2c4b3c51-4749-4623-b65a-9d4defe2af4a","resolution":{"observed_at":"2026-08-11T10:59:27.910977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T10:59:27.889667Z","title":null,"venue":null,"work_id":"eaf67727-13a2-4e82-ba13-d563cbce8711","year":1987},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.713198Z"},"links":{"citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:176ab2c05203926fe90ca23965c680077c0d6424799539d56e5cb2b5321e2b32","observation_id":"61e2bcb2-81c4-45d2-a313-fee3fbd522d3","resolution":{"observed_at":"2026-08-11T10:59:27.894656Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1209.4340","last_updated":"2014-07-15T14:41:58Z","snapshot_observed_at":"2026-07-06T02:55:56.040964Z","submitted_at":"2012-09-19T19:31:58Z","title":"Moments and Absolute Moments of the Normal Distribution","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.4340","snapshot_observed_at":"2026-08-11T10:59:27.718581Z","title":"Winkelbauer","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-11T10:59:27.718581Z"},"links":{"cited_paper":"/paper/1209.4340","citing_paper":"/paper/2412.16054"},"observation_digest":"sha256:b2e037b63bfc3b5b5076fdc67f1baba1113bb5fe4f18c99f3c08102cb0962a0e","observation_id":"9226cd76-563f-45c7-a9e0-90d9064d85ae","resolution":{"observed_at":"2026-08-11T10:59:27.718581Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.16054","last_updated":"2024-12-20T16:53:54Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-11T10:48:52.843183Z","submitted_at":"2024-12-20T16:53:54Z","title":"Limit Theorems for the Volume of Random Projections and Sections of $\\ell_p^N$-balls"},"reference_resolution":{"displayed":79,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":3,"verified_fuzzy":55},"total_outbound_references":79},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 2 inbound Pith citation observations for arXiv:2412.16054."}