{"as_of":"2026-08-08T16:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b2507fe74af4e58ea9b6be1ae18cabb0fde8f28ba181ca77aea4cea172041a1c","coverage":[{"denominator":92,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":92,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-30T11:11:56.964027Z","state":"measured"},{"denominator":92,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":92,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.23836/citation-record","integrity":"/paper/2607.23836/integrity","json":"/paper/2607.23836/citation-record.json","paper":"/paper/2607.23836"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:47.846216Z","title":"Statistical Inference and Estimation in High Dimensions , url =","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:47.846216Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:1323ac83943bde2f6c756f1d8056efa0540c18209e60ded6f548c69b209ef0dc","observation_id":"59eff679-df50-4c81-8cb6-145c377120e4","resolution":{"observed_at":"2026-07-30T11:11:47.846216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:47.955446Z","title":"A class of statistics with asymptotically normal distribution , url =","venue":null,"work_id":null,"year":1948},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:47.955446Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:e3d137b80557ee0dfff4ce2d0abb67c406c56502b154fea777cd65a4c092203b","observation_id":"89af6713-31cd-4496-92e0-a5231b6d8dec","resolution":{"observed_at":"2026-07-30T11:11:47.955446Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:48.097408Z","title":"Low coordinate degree algorithms","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.097408Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:ed73ca6ef912cb2fcb2c87c0e46c8e46e5fcc8e1b1332e2090e598191a76afbd","observation_id":"ce013e63-8e39-4ea5-9500-e766c8c95d08","resolution":{"observed_at":"2026-07-30T11:11:48.097408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:48.191087Z","title":"Information-theoretic bounds and phase transitions in clustering, sparse","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.191087Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:b3c1218da91cd53f6381882d6a0eeba6eb53d4660c2fd52b2210d080135b3733","observation_id":"e17e0a0d-6b53-4935-bc43-a1d03ee7c8cb","resolution":{"observed_at":"2026-07-30T11:11:48.191087Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:48.335534Z","title":"Notes on computational hardness of hypothesis testing: Predictions using the low-degree likelihood ratio , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.335534Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:814edd139b818e1649588d7956a377af3a0c8358187d218154519e6fb828eb59","observation_id":"153d0225-1632-4935-aa82-5898ac495cc6","resolution":{"observed_at":"2026-07-30T11:11:48.335534Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:48.402944Z","title":"Optimal rates of estimation for multi-reference alignment , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.402944Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:7c1653013e012b2f35f28c328ae4dbf5a86cdee9716436a1aa004f78ce3596cf","observation_id":"979b53cb-9fee-438d-8f2e-d6d2152e4f23","resolution":{"observed_at":"2026-07-30T11:11:48.402944Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:48.496705Z","title":"Optimality and sub-optimality of PCA I: Spiked random matrix models , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.496705Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:9cadaaf0c2259f91198c9d5cb56644a7e8b1f721f99416a855dad02290f58ae9","observation_id":"4e357a83-8052-4566-a4a0-4e4ec68870fc","resolution":{"observed_at":"2026-07-30T11:11:48.496705Z","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":"10.1214/15-aos1432","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Minimax estimation of linear and quadratic functionals on sparsity classes , url =","venue":"The Annals of Statistics","work_id":"d30d06f9-7aa9-46d7-b056-0297b80af66b","year":2017},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.547055Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:988bfa18afe258481204e866ccf907d114feeb5a3e53d582da1f3bc6566e6a4c","observation_id":"b701d20d-5a5b-4587-b37d-9919f44e0c0d","resolution":{"observed_at":"2026-07-30T11:16:12.012015Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-30T11:11:48.693114Z","title":"Non-asymptotic minimax rates of testing in signal detection , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.693114Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:42f5ae6ae42f103f79e6330e517597a48d4b9e1c5dc4ab51792069d341bbf52b","observation_id":"4351c29b-a058-4a95-98e2-54bb45fafc0c","resolution":{"observed_at":"2026-07-30T11:11:48.693114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:48.839179Z","title":"Hypothesis testing for densities and high-dimensional multinomials , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.839179Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:389c430e942f118974f44d56350b92b370f79b18c3cf7f9a1e8f5369db2e9172","observation_id":"e88965ea-47c8-4b3b-8ed8-23f795d87158","resolution":{"observed_at":"2026-07-30T11:11:48.839179Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:48.951644Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:48.951644Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:dafd81dc37b0d9a81f927a97a4c3db18674c88247865c7dbf87a44c31cb6c9ae","observation_id":"ebdde017-1e0c-4bbd-a215-792ede43b364","resolution":{"observed_at":"2026-07-30T11:11:48.951644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:49.054748Z","title":"Advances in neural information processing systems , title =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:49.054748Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:a8ee3770f9a3c01ba6570280718e80aea152b221cf108c5fc97da457a08073ef","observation_id":"6d3916f2-4dcf-4edc-8e8d-7d93c4efbeba","resolution":{"observed_at":"2026-07-30T11:11:49.054748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:49.270088Z","title":"Conformal prediction beyond exchangeability , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:49.270088Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:97017e9f3db4cbc8030ff339b3035e6d9c952f86f8e22e3bfb1134276e7a47af","observation_id":"360954b7-e0fb-48f7-826b-d2f167eabbf1","resolution":{"observed_at":"2026-07-30T11:11:49.270088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:49.414751Z","title":"Symmetric measures on Cartesian products , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:49.414751Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:bf26fb97412764dfd59beb0edfb1d28fe85142694b080e25586cc6f2bb962bf7","observation_id":"6eee059f-38dd-48f3-8a0d-a99066bc1e96","resolution":{"observed_at":"2026-07-30T11:11:49.414751Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:49.549627Z","title":"On the minimum attainable risk in permutation invariant problems , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:49.549627Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:211c9c9b63998d9d3f3536fd755fed962f8fa807039d05424614c9bc022adeda","observation_id":"8b82c2eb-e7f4-4c58-bad9-6e5842aaf306","resolution":{"observed_at":"2026-07-30T11:11:49.549627Z","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":"10.1214/19-sts709","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Comment: Empirical Bayes, Compound Decisions and Exchangeability , url =","venue":"Statistical Science","work_id":"3452938b-5b29-48e5-a9cf-72edf256b251","year":2019},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:49.663458Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:027b728b92bb9e50a5836aaef2fddb235eb32226dfadb77d0e99f117818dfeea","observation_id":"b950e2f6-cb47-4c40-8485-2ea91a516771","resolution":{"observed_at":"2026-07-30T11:16:11.877535Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-30T11:11:49.844842Z","title":"Asymptotic solutions of compound decision problems , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:49.844842Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:acf16ec3555ad420e540881c0013df9e93581c7f2e808e82fe72a6bda306e109","observation_id":"bd52d321-22ca-4733-9c6d-00a92dbffb91","resolution":{"observed_at":"2026-07-30T11:11:49.844842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:49.962609Z","title":"Permanents , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:49.962609Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:44b8e9a2c5c16d265fbee2867fdba37f24815d7f6759542d0ea5954737dbbf72","observation_id":"8ddd337d-e2c9-4eba-a5de-8ed0e6a0a1dc","resolution":{"observed_at":"2026-07-30T11:11:49.962609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:50.092184Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:50.092184Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:f7389bd8f3749042d965e19c7d018b4cf819d2499546c21a96a629299580442e","observation_id":"9d3edb5d-4feb-4c91-94e9-07c26cf26b37","resolution":{"observed_at":"2026-07-30T11:11:50.092184Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:50.213393Z","title":", date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:50.213393Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:38b67d9d6f8a1b8b778ecefe3596be83b47fd8e344210fbaa1badcfdb30f9935","observation_id":"12122761-7962-41ca-855a-5b7c7c0f353a","resolution":{"observed_at":"2026-07-30T11:11:50.213393Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:50.317222Z","title":"General maximum likelihood empirical Bayes estimation of normal means , url =","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:50.317222Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:5ae87524fddd3629ebf80b910bdf2a46545f40b82983c3bad2c277fffaca5baa","observation_id":"4e6108a0-3301-4cca-aa13-876978f180a6","resolution":{"observed_at":"2026-07-30T11:11:50.317222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:50.475035Z","title":"Nonparametric empirical Bayes and compound decision approaches to estimation of a high-dimensional vector of normal means , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:50.475035Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:f7fc5933deec6f622a72886cd70c7c0c78d991184f9c68b4f0b0517774bd5ee1","observation_id":"3bd70cf1-cef0-4ff2-bcd0-7b6e18ebe8ef","resolution":{"observed_at":"2026-07-30T11:11:50.475035Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:50.595963Z","title":"A dozen de Finetti-style results in search of a theory , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:50.595963Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:8e465535344abd93b8fa8f9b8ba99d2981c555e2d0287be944f39d8a3b7a05d2","observation_id":"4b783f0c-203b-4cb3-8748-9ddaec07a461","resolution":{"observed_at":"2026-07-30T11:11:50.595963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:50.695526Z","title":"Minimax estimation of discrete distributions under _1 loss , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:50.695526Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:f2277fd821d32d20ffc808667559590c6d6826806871af7dec2e6dffea1df2a8","observation_id":"d89e0125-221f-4b17-98b9-9b81172b5a4e","resolution":{"observed_at":"2026-07-30T11:11:50.695526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:50.892520Z","title":"Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:50.892520Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:e7ae2e5054218842cebed052c5d1c07b99a52d85d408c1847dcab6dc5f5e6ba4","observation_id":"74255ae0-6332-4905-8608-cf0aec14f8e7","resolution":{"observed_at":"2026-07-30T11:11:50.892520Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:51.007576Z","title":"On estimation of the L r norm of a regression function , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.007576Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:44e5a38a75d48d370751ac401e9243e955e31359d5d6bcf15a7b2ad202959344","observation_id":"3bdb9d24-8e96-423c-96dc-3d9b7920a85f","resolution":{"observed_at":"2026-07-30T11:11:51.007576Z","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":"10.1007/bf00486116","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Finite forms of de","venue":"Synthese","work_id":"23bf593c-84ec-458f-a3e2-f9c95d9493b7","year":1977},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.168831Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:5040b74ca7bf3893f22cc56f05e7812c9af3df53289881bec41f83587feeaa2e","observation_id":"02a2bc42-699a-41cb-8c08-ebdb78fc37af","resolution":{"observed_at":"2026-07-30T11:16:11.547763Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-30T11:11:51.256893Z","title":"Funzione caratteristica di un fenomeno aleatorio , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.256893Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:0312c90e8d78b8630e20f27fbd0cd2b4d642694504d9726576187f3fb88c8085","observation_id":"d1158f1c-4ddf-480f-9364-e2cc4b337993","resolution":{"observed_at":"2026-07-30T11:11:51.256893Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:51.374973Z","title":"Mean-field approximation, convex hierarchies, and the optimality of correlation rounding: a unified perspective , url =","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.374973Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:4bd6347d5ff9a44de9a77476fffab45864adc548122e75e70b8b61b86632775e","observation_id":"14c043dc-f0da-4488-b6fe-3c75dbdd6a5b","resolution":{"observed_at":"2026-07-30T11:11:51.374973Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:51.528623Z","title":"Statistical field theory , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.528623Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:d479da3aa558e0930ffa3fe13e4eda52e04bcdd5b60d6da0a86f9475b7db3668","observation_id":"fc4eb417-a98e-4af7-95d3-674adadd27dd","resolution":{"observed_at":"2026-07-30T11:11:51.528623Z","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":"10.1093/imrn/rnad302","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mean field approximations via log-concavity , url =","venue":"International Mathematics Research Notices","work_id":"4b444745-be85-4827-949a-a2ddec82fa96","year":2024},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.659634Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:062f1b381e4eb8e1a30e085bd6d5b7cc75c336121da2969ef8ca7615e6e88fff","observation_id":"c87b5c6a-8ef7-44eb-abea-6bc22c729ed8","resolution":{"observed_at":"2026-07-30T11:16:11.365575Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-07-30T11:11:51.758496Z","title":"Bayes, oracle","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.758496Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:8c558d0918ac2f5bab37b3f3a672630d696c6caa71d154e4b637d63269244de4","observation_id":"7d54ef0e-954f-4e04-985f-2a634b80f772","resolution":{"observed_at":"2026-07-30T11:11:51.758496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:51.844516Z","title":"Locally asymptotically normal families of distributions","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.844516Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:000b36be711641133cc712bb5ec289e22e61487ba70fbc639f9bf77ba521fa97","observation_id":"12cf4b58-c261-41c2-8207-77fe2ecf5103","resolution":{"observed_at":"2026-07-30T11:11:51.844516Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:51.944203Z","title":"Distance between sampling with and without replacement , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:51.944203Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:e5fdc7865dd4215aedce1e32d27336de36b391703e3c987daba8c9a547e22a4d","observation_id":"1a5e3d87-d2df-45ef-8497-ae2f7dd1267d","resolution":{"observed_at":"2026-07-30T11:11:51.944203Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.088657Z","title":"Finite exchangeable sequences , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.088657Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:04e9475cc3dd681df53a10f4b0203c9ed284e6872c1bf12b06e2632f0b76df14","observation_id":"9ab032d0-7b30-4485-a492-f1c7f55b6fdf","resolution":{"observed_at":"2026-07-30T11:11:52.088657Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.184714Z","title":"An information-theoretic proof of a finite de","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.184714Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:e5f863aa01b469cc1fa7f84e1d0a29adb9dffb37506b70a079d0ec2838bd9c23","observation_id":"11bfd1d8-b2bd-4a37-a5f1-8112429f9164","resolution":{"observed_at":"2026-07-30T11:11:52.184714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.307143Z","title":"Journal of Applied Probability , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.307143Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:59c6eac14444dfe24015bdb1729d060e971c26034d8535687228d54e57ffee4e","observation_id":"8114e55f-3d7a-48b5-acda-a23314b38042","resolution":{"observed_at":"2026-07-30T11:11:52.307143Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.408511Z","title":"Asymptotically subminimax solutions of compound statistical decision problems , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.408511Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:45509b6f452d3b5c5b23f239ac4a298a8f10ffe15e383defa0a6017e06895f16","observation_id":"29d42516-89ac-4ca8-aee6-5b2bad62f3dc","resolution":{"observed_at":"2026-07-30T11:11:52.408511Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.510959Z","title":"Asymptotic efficiency of simple decisions for the compound decision problem , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.510959Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:96861253ec906516a465c2f3d419678f7db5d8c852f8ad576f515a7b97bb00ca","observation_id":"459201d0-acbd-4198-b3c7-34d440213c4e","resolution":{"observed_at":"2026-07-30T11:11:52.510959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.646701Z","title":"Nonparametric goodness-of-fit testing under Gaussian models , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.646701Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:9a755f3c6f65d432c10c6e6cb736d9aa98fbc17b46a3a57808fd3f0c58a39da5","observation_id":"b5a73e82-9277-48dc-9cd2-9dd78095f7ab","resolution":{"observed_at":"2026-07-30T11:11:52.646701Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.732858Z","title":"The concentration of measure phenomenon , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.732858Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:e729d573a03ae54a8bdace63e011db4f380bf112bce1798242e44a01757e208c","observation_id":"71c3a0a7-f467-411b-a33f-fc20c274d06c","resolution":{"observed_at":"2026-07-30T11:11:52.732858Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.863159Z","title":"Tight bounds for learning a mixture of two","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.863159Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:588a20ac0457a3133e67deb090122e0498f9ecc2ced942ce95561acf8f31f387","observation_id":"ceeeee9d-f06d-46b7-af87-a6b6a94f04b1","resolution":{"observed_at":"2026-07-30T11:11:52.863159Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:52.961464Z","title":"The Annals of Statistics , keywords =","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:52.961464Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:b6b86d71c911e6edf93ce3156f8eb4dd85e24780c97beca7f677e2bbae3765c1","observation_id":"ddc4df28-e36c-4b1e-bb46-3de72e051f13","resolution":{"observed_at":"2026-07-30T11:11:52.961464Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.086630Z","title":"Computational barriers to estimation from low-degree polynomials , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.086630Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:8645c424c3f1936def2e4d5ac1acd965124327a54a098184fc294dac988c3eab","observation_id":"13640d6c-de41-4b2a-b7f5-3040f354bbdb","resolution":{"observed_at":"2026-07-30T11:11:53.086630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.206484Z","title":"Is It Easier to Count Communities Than Find Them? , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.206484Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:a982dce84ccd0766e6dda457245fe27ae545b854bb044608917cc7833fd9fb4a","observation_id":"66ef5fb5-ebd2-479e-ae92-5c555e0c5aaa","resolution":{"observed_at":"2026-07-30T11:11:53.206484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.295919Z","title":"Analytic combinatorics , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.295919Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:aefdbdf6fa5728032cc7aa576eafe1dc5da7ba8a38d434d2800a13d662910e73","observation_id":"909f3eed-e5a1-471a-93ad-59a5c8129483","resolution":{"observed_at":"2026-07-30T11:11:53.295919Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.372723Z","title":"An Inequality of Hadamard Type for Permanents , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.372723Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:7356efa30a02fc646e6991e2d99dbdc5188031381b6910b0f189a00179b20c80","observation_id":"926684c6-ffe0-48e1-8e1f-54610b0fd908","resolution":{"observed_at":"2026-07-30T11:11:53.372723Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.436173Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.436173Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:837c61b809e568e5c3e6f9ecf7a2d0f7d82fe4da436e69695b32385e94a1b093","observation_id":"8e64f313-3c57-47dc-87b0-d1e35ac97b10","resolution":{"observed_at":"2026-07-30T11:11:53.436173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.562758Z","title":"Inequalities and tail bounds for elementary symmetric polynomials , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.562758Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:f055a6bf08467ee61a29891b53984038b48f199fd177749d614b20b12ee35a8d","observation_id":"74f444c8-07cd-4200-9cad-695bc1fec8a9","resolution":{"observed_at":"2026-07-30T11:11:53.562758Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.640263Z","title":"Log-seed pseudorandom generators via iterated restrictions , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.640263Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:23b047c27e3b902dab8e7a391af905a0a410d1d56d113a1f1cf0ea0bf94ac2d6","observation_id":"7fafbfc5-6107-43b5-aca4-957beb9566e4","resolution":{"observed_at":"2026-07-30T11:11:53.640263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.771201Z","title":"Pseudorandom generators for width-3 branching programs , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.771201Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:7c741d85c92b344a3ec82dd6952db9600f0820f95747e7e28e4af55593c144a2","observation_id":"718f4142-9f08-4ffc-8430-f958cb6a1481","resolution":{"observed_at":"2026-07-30T11:11:53.771201Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.885743Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.885743Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:a9591232c5dbf9242d90b27484b7b0e51fe2b6123ce4c32e913643b139d8f9c0","observation_id":"a91933f3-2438-4aa4-b8d7-2b70e631263f","resolution":{"observed_at":"2026-07-30T11:11:53.885743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:53.983362Z","title":"Inverse spectral problem for normal matrices and the","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:53.983362Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:cd533d9c0f55ebee666f86de8e0bf2d0f9ad65c0c336019e4663b409bb2a95d3","observation_id":"c3f4ab7a-b820-4204-b6e6-654483c20201","resolution":{"observed_at":"2026-07-30T11:11:53.983362Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.042105Z","title":"Differentiators and the geometry of polynomials , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.042105Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:64a0e0a1a0111f2f7e2d5b1dea6571ac7d323a938b386c8c863ac26171be6783","observation_id":"e74b019c-dff6-4c1a-b46c-b8b9c4106bc8","resolution":{"observed_at":"2026-07-30T11:11:54.042105Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.137909Z","title":"The solution of van der","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.137909Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:a9e82891ebab2973ab918c657360e141cdec7f8ffa1286d66c08614f6420fe35","observation_id":"b34e7d2e-60c5-4c15-9b00-7be576e90099","resolution":{"observed_at":"2026-07-30T11:11:54.137909Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.232312Z","title":"Aufgabe 45 , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.232312Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:1638610eee75b5fafe0beac9e364d2263c8ffdfe604a99516f3bf138ddc916a6","observation_id":"430f9db7-c521-4840-8d18-367381d2c501","resolution":{"observed_at":"2026-07-30T11:11:54.232312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.372418Z","title":"Proof of the van der","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.372418Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:5de9159d2a252a9dda67cc41048756af44159ca9ae40c61de7196e3862afa9f8","observation_id":"bfe77f1c-f20a-4916-ae1c-98acaa634a97","resolution":{"observed_at":"2026-07-30T11:11:54.372418Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.427342Z","title":"Generalized matrix functions , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.427342Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:dc32637e978938de7070d0e5f5a23848f45542f3af5263c83359d6d9d3b48670","observation_id":"0a0db74a-1633-49ad-bdb2-4a5728aa71c5","resolution":{"observed_at":"2026-07-30T11:11:54.427342Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.502853Z","title":"Simply exponential approximation of the permanent of positive semidefinite matrices , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.502853Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:82d0685a97bc24d9a84f0a63d38ffd6fa9037d2ff5109977afd7084acf28c64d","observation_id":"402bdc3c-71c3-42f6-802f-2ecee7a2b7cd","resolution":{"observed_at":"2026-07-30T11:11:54.502853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.558655Z","title":"Classical deterministic complexity of Edmonds' problem and quantum entanglement , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.558655Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:2638068188cb2c9a6d14ac441be756033e1ec9a2b6c177bee0c92cf44096cad8","observation_id":"1d904b55-a61b-460f-a8d4-7194b123193b","resolution":{"observed_at":"2026-07-30T11:11:54.558655Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.641943Z","title":"Information theory: From coding to learning , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.641943Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:630711519595ccbc3d116e8900f6a04ccaf82e6583a357aa6e2170301f24a1a1","observation_id":"c808e4e0-d07f-4f0c-8a0e-09ea4e1380f3","resolution":{"observed_at":"2026-07-30T11:11:54.641943Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.708199Z","title":"On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.708199Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:7a855d9514efbd77cf9724adf1f6d66c1fcb64f5d71342649ee6c8d63584c542","observation_id":"63f05075-5ee5-47ff-8c8b-1753f8fb028b","resolution":{"observed_at":"2026-07-30T11:11:54.708199Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.827135Z","title":"Ueber die Aufl","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.827135Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:9b39321a57c5bca1828a9b915b715c7fcd44029c4c625f3eb2ad60ba004795bb","observation_id":"7cf4fbc2-4eb6-464e-8d3a-ac0a4b75e24d","resolution":{"observed_at":"2026-07-30T11:11:54.827135Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.950130Z","title":"Asymptotic solutions of the compound decision problem for two completely specified distributions , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.950130Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:ced51243b0160e782d845c1b697634850bc88f5291663d762ca6c8fe0e320d9d","observation_id":"25d607b2-61ca-4987-949f-ca0117e32aaa","resolution":{"observed_at":"2026-07-30T11:11:54.950130Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:54.996850Z","title":"Minimax risk over _p -balls for _q -error , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:54.996850Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:788328e3314243f9c62054d62af88cc9a04e7420314e9e4664048829965057e8","observation_id":"3e690904-b385-4ed9-8c03-beed593b7c54","resolution":{"observed_at":"2026-07-30T11:11:54.996850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.096035Z","title":"Minimax _q risk in _p balls , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.096035Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:f2e8d828af1b6c56963461cd8871b2326660fc55ea0a852450fc15d3dc94e8a0","observation_id":"e884e009-ea74-4b4e-b119-27f9c5dd4184","resolution":{"observed_at":"2026-07-30T11:11:55.096035Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.139440Z","title":"Mutual information and minimum mean-square error in Gaussian channels , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.139440Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:d323f0be40fddb57352337f20689e3604fe8f263ddab8d1b74a97e1e6a5ac41c","observation_id":"a150f57d-d2eb-4e9d-9d7b-8845e926aff7","resolution":{"observed_at":"2026-07-30T11:11:55.139440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.181039Z","title":"IEEE Transactions on Information Theory , volume=","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.181039Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:ef4002fdbbfdaefc3f517274d2b26ed91ec4e6ed498fd7bd269dabd7337b2153","observation_id":"975ab526-c458-4233-a139-ef5a1bda7312","resolution":{"observed_at":"2026-07-30T11:11:55.181039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.252327Z","title":"Minimax estimation of the","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.252327Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:12e43427ec80e9e2e9e92d9be874b71f1a3e5750759753cacaeef78b55459b82","observation_id":"8051cf81-fb36-4da8-8e68-e4a8eed9c0f6","resolution":{"observed_at":"2026-07-30T11:11:55.252327Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.323473Z","title":"IEEE Transactions on Information Theory , volume=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.323473Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:acb97d7772a9080805591b1f470cfaa9ca617e8bfe5c4ebf6c3d43d6d6436219","observation_id":"3b780fb3-4c44-4614-b396-897b8ecfa6b2","resolution":{"observed_at":"2026-07-30T11:11:55.323473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.394568Z","title":"IEEE Transactions on Information Theory , volume=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.394568Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:d4b0f15665aa3a00aa65f4181fb6c9aaf72612b35fe2bbf836451a9c4d936ed2","observation_id":"31f614ca-e1d2-465c-a7f9-e29a3a371f43","resolution":{"observed_at":"2026-07-30T11:11:55.394568Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.448336Z","title":"The Annals of Statistics , volume=","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.448336Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:b4b85b77c54b9b5bc3dcfd34a86675ba53965c2b1576539ea00f0897fef8890b","observation_id":"f75f9321-5b88-48fe-ae1f-ecf2bc6082e0","resolution":{"observed_at":"2026-07-30T11:11:55.448336Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.525736Z","title":"Annals of Statistics , pages=","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.525736Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:92f2f45dbefec124cad66cfcb60e2d76a1d71a163a52039ffa02a45a96a1ec96","observation_id":"24c3471b-5ce1-4346-8f2b-e4e82157a0e5","resolution":{"observed_at":"2026-07-30T11:11:55.525736Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.585273Z","title":"IEEE Transactions on Information Theory , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.585273Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:ea4b8475b8dc6b14a9b81e84d9f57c485d8d2654bfa0fca7c7e190f6e5b84e04","observation_id":"870dbab0-8295-44e9-b6eb-cd04e1f5916b","resolution":{"observed_at":"2026-07-30T11:11:55.585273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.07279","last_updated":"2025-04-07T13:06:40Z","snapshot_observed_at":"2026-08-05T07:44:30.750690Z","submitted_at":"2023-03-13T16:54:04Z","title":"Universal coding, intrinsic volumes, and metric complexity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.07279","snapshot_observed_at":"2026-07-30T11:11:55.636276Z","title":"arXiv preprint arXiv:2303.07279 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.636276Z"},"links":{"cited_paper":"/paper/2303.07279","citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:43108e0f61a29da62b816d4dfc3a68302cebeb9bea2ffc2f5a791cd3185b884e","observation_id":"be36fa9c-6cb5-489d-abf7-4b14e687163b","resolution":{"observed_at":"2026-07-30T11:11:55.636276Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.689119Z","title":"The Thirty Sixth Annual Conference on Learning Theory , pages=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.689119Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:603ae48e1e96e55e30d955a4c453cadde3cec56ebbb1045a48344eb7dce495a7","observation_id":"e90f2b09-0053-422c-b405-3b5a3180cbf0","resolution":{"observed_at":"2026-07-30T11:11:55.689119Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.744956Z","title":"Indagationes Mathematicae (Proceedings) , volume=","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.744956Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:326342b8a2c6fcf6dfde4778cb003994cee0c0357a7bdd818d086803b7850843","observation_id":"fc095166-b0fc-4373-9414-c8c25573cc5c","resolution":{"observed_at":"2026-07-30T11:11:55.744956Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.800618Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.800618Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:7eb2a6f8cf194f40ab0292f3e0d6d4e584591ff08a2a0af1b0a5abb181b921a1","observation_id":"5e3b8bce-14c2-4f88-a50f-daeae494a4ab","resolution":{"observed_at":"2026-07-30T11:11:55.800618Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.842782Z","title":"Generalized symmetric polynomials and an approximate de","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.842782Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:6005290f839974cbd7c205b0e3015ff59415febb60a6ac0ed565346ab608eb0b","observation_id":"4c2016ff-45ed-4697-a8a5-97ad965f1426","resolution":{"observed_at":"2026-07-30T11:11:55.842782Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.07355","last_updated":"2025-09-09T03:04:06Z","snapshot_observed_at":"2026-08-07T02:31:01.768049Z","submitted_at":"2025-09-09T03:04:06Z","title":"Besting Good--Turing: Optimality of Non-Parametric Maximum Likelihood for Distribution Estimation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.07355","snapshot_observed_at":"2026-07-30T11:11:55.889688Z","title":"arXiv preprint arXiv:2509.07355 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.889688Z"},"links":{"cited_paper":"/paper/2509.07355","citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:48166da9560682dc1db6b67cd57ed0b726b7b715236848fcdd2f1b703871a83d","observation_id":"fd64a0c0-f47d-4011-93b2-b2a720d77ced","resolution":{"observed_at":"2026-07-30T11:11:55.889688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.894961Z","title":"Theory of cryptography conference , pages=","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.894961Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:a9ada991c655f0e31c5577066ae106edde43c547a0882503f3b3b3ff18b291a5","observation_id":"c790e551-db7f-4688-9adb-f6238e24e5e5","resolution":{"observed_at":"2026-07-30T11:11:55.894961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:55.955678Z","title":"Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:55.955678Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:0f59e7541924a0849c11cce411891e21bc0712a01a83023100bfe5283c799773","observation_id":"71941a73-c1fb-44fc-a65e-37fb980e5ec0","resolution":{"observed_at":"2026-07-30T11:11:55.955678Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.022615Z","title":"2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS) , pages=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.022615Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:90cfb1eb42ce9f156b9f7eb57c96345bdbf2d684b12f85459e63f82d87e3ead0","observation_id":"e96f8f1d-451c-4257-9d89-0cee06b3c596","resolution":{"observed_at":"2026-07-30T11:11:56.022615Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.067133Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.067133Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:80a3859fa446bb228d3f1cbb726f0f73fa9f3597f949b420eece88dd27839a32","observation_id":"482676b1-e12d-4858-b864-70f23853eec9","resolution":{"observed_at":"2026-07-30T11:11:56.067133Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.153519Z","title":"Compound decision theory and empirical","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.153519Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:2dcf0ab71a23224c91dadee3e1ab5680e5fab152f44e5ac507828fa8dded0845","observation_id":"08ca9f00-bdd5-4ebb-8f15-09d27cad70c7","resolution":{"observed_at":"2026-07-30T11:11:56.153519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.251554Z","title":"Journal of the Royal Statistical Society Series B: Statistical Methodology , volume=","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.251554Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:f558c1e39ca3030ff1d5703a6aebdae3258255b69abbeaa1c23e93931c838d60","observation_id":"35b09e9c-a835-4bc3-bea4-d976bdd14225","resolution":{"observed_at":"2026-07-30T11:11:56.251554Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.411348Z","title":"The Annals of Statistics , volume=","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.411348Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:3bcb6884f180d21a35d63dc84fb615357b2f0801686d49d6a2ddd3cbcde24447","observation_id":"a8e9f158-c0d0-4c99-855c-50df5f1ff563","resolution":{"observed_at":"2026-07-30T11:11:56.411348Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.554391Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.554391Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:2dfd1879229bf4872874f78740ac8dfca6c027297da0c10e8134435ab31c8c6a","observation_id":"1d0906cc-4124-4a2b-8f97-e6dea20b4084","resolution":{"observed_at":"2026-07-30T11:11:56.554391Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.679005Z","title":"Foundations of Computational Mathematics , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.679005Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:a85ecea7a80b9427e0ac36004582a94ac1f3323785d2a7edba29be25bf7c1edf","observation_id":"48876bf2-f7b3-4f1f-ab9b-0d216e665490","resolution":{"observed_at":"2026-07-30T11:11:56.679005Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.767926Z","title":"Mathematics of Computation , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.767926Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:1d0b31c9baef6c606f45d0613f245a86eb013975ce7d812f0453dc7201d303a8","observation_id":"afcee6ee-0e47-443d-9b5f-ee407b22310a","resolution":{"observed_at":"2026-07-30T11:11:56.767926Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.865080Z","title":"Nuclear norm under tensor","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.865080Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:2497910716c4a4df6682cd510e471fa3e87683587adc7932102df756715b4e09","observation_id":"ff0d728b-6182-462e-a64e-55d2a0ee7ea5","resolution":{"observed_at":"2026-07-30T11:11:56.865080Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T11:11:56.964027Z","title":"1993 , publisher=","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-07-30T11:11:56.964027Z"},"links":{"citing_paper":"/paper/2607.23836"},"observation_digest":"sha256:d6e54574af2f05b352dac8704e8ed911bb6d3dfd92a3282c1dda570a3b3ad920","observation_id":"eeede134-e16a-4e46-a025-0088b025fef5","resolution":{"observed_at":"2026-07-30T11:11:56.964027Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.23836","last_updated":"2026-07-26T20:42:39Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-08T06:54:09.582022Z","submitted_at":"2026-07-26T20:42:39Z","title":"Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices"},"reference_resolution":{"displayed":92,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":88,"verified_exact":4,"verified_fuzzy":0},"total_outbound_references":92},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 92 of 92 outbound references and 0 inbound Pith citation observations for arXiv:2607.23836."}