{"as_of":"2026-08-13T16:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b4cd43496a7bdecc47569452d2f83b93a57ee8d3b3fc72bfe924a72621849fa9","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T18:36:41.563524Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T04:53:13.341683Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-11T04:53:13.378611Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"cited_work":{"arxiv_id":"2412.07936","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.07936","snapshot_observed_at":"2026-08-11T04:53:13.378611Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","venue":"math.PR","work_id":"691a5287-53fe-4731-95eb-09c56e490669","year":2024},"citing_paper":{"arxiv_id":"2412.18468","last_updated":"2025-03-31T21:46:05Z","snapshot_observed_at":"2026-08-11T08:48:47.264966Z","submitted_at":"2024-12-24T14:54:23Z","title":"Matrix Chaos Inequalities and Chaos of Combinatorial Type","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-11T04:53:13.341683Z"},"links":{"cited_paper":"/paper/2412.07936","citing_paper":"/paper/2412.18468"},"observation_digest":"sha256:a1b59dc62e978c3fefdd8cb79a907dea2ebbe446b5653d0fc46302a1078d6493","observation_id":"a66c101c-ed46-49b3-a590-414d699de985","resolution":{"observed_at":"2026-08-11T04:53:13.385656Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.07936/citation-record","integrity":"/paper/2412.07936/integrity","json":"/paper/2412.07936/citation-record.json","paper":"/paper/2412.07936"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:42.026807Z","title":"Matrix poincar \\'e inequalities and concentration","venue":null,"work_id":"534ac447-907e-4ace-9e68-c3f082098d11","year":2020},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.424037Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:be658af35dfaf05f1ba8286a6b5cfa0f893615b41fffaf0cd6c2381157b3a602","observation_id":"18429b5c-caf7-4e5e-9b9d-38160193df02","resolution":{"observed_at":"2026-08-11T18:36:42.030127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1604.03423","last_updated":"2021-04-29T16:36:36Z","snapshot_observed_at":"2026-08-09T09:33:18.084639Z","submitted_at":"2016-04-12T14:31:33Z","title":"Graph Matrices: Norm Bounds and Applications","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.03423","snapshot_observed_at":"2026-08-11T18:36:41.427962Z","title":"Graph matrices: Norm bounds and applications","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.427962Z"},"links":{"cited_paper":"/paper/1604.03423","citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:b17bc9ea4adbc7304b28dcaff82dd17822aa0dc49f916ae1ce582e86de76901d","observation_id":"3f94a906-3b9e-4bc9-b83c-11a55fcf4cfa","resolution":{"observed_at":"2026-08-11T18:36:41.427962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:42.016649Z","title":"Concentration inequalities for non-lipschitz functions with bounded derivatives of higher order","venue":null,"work_id":"b9852822-e982-4b29-b4c1-c3acf2b7971d","year":2015},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.431770Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:949381e651d763595ca58a02c9b512d047cce5c78c913fba5df83fdd396007d5","observation_id":"8746811f-bc1d-4da8-a9d9-294ce6c3666d","resolution":{"observed_at":"2026-08-11T18:36:42.021083Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:42.006239Z","title":"Moment inequalities for functions of independent random variables","venue":null,"work_id":"a29b7d54-de99-4b44-8959-20cc00a6d970","year":2005},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.435169Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:cc9b00054c98a22e9c090bb5345ffc4a15e4921f143c44cafb3a1d85eba3915b","observation_id":"9cb30839-4286-4e01-989a-209b478e8d7c","resolution":{"observed_at":"2026-08-11T18:36:42.009941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.996060Z","title":"Matrix concentration inequalities and free probability","venue":null,"work_id":"b32db61a-57d0-49d1-b83d-a137004faf30","year":2023},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.439008Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:c0ebae37ddca88d7076a93851739f14c7d4bb1ccbd74e0994e05c3652009a4ba","observation_id":"9797890b-5879-481d-a379-25c9b2d494bd","resolution":{"observed_at":"2026-08-11T18:36:41.999500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.986869Z","title":"Higher order concentration of measure","venue":null,"work_id":"8fd68844-c183-4f2c-a381-a1391f785284","year":2019},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.442329Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:2efed2631951f5d409aa0420365d09e5eaed33bcf083b0e29419c54496e79acb","observation_id":"f9880123-3476-4888-8c74-16374997ed84","resolution":{"observed_at":"2026-08-11T18:36:41.990384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.976683Z","title":"A nearly tight sum-of-squares lower bound for the planted clique problem","venue":null,"work_id":"a105adbb-9c2b-4d81-8801-d6e687420f74","year":2019},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.445569Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:1051d8b3e03576762e668c7bdac6aca86f0ebee6032f043c7d504a3eb67b9ee8","observation_id":"76faf95b-bf19-457e-bd01-2ec577c1d125","resolution":{"observed_at":"2026-08-11T18:36:41.980494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.966554Z","title":"Kothari, and Jeff Xu","venue":null,"work_id":"8d14acc0-c448-4262-9389-f3b536ec9cc1","year":2022},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.448434Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:9fa21a4b231528a9615be999dc3f7de132204113a58d29fdb4da7e370a9126c7","observation_id":"8a2f42ea-e236-4737-9c54-0c50be4f4aa3","resolution":{"observed_at":"2026-08-11T18:36:41.969809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.958084Z","title":"Resolving matrix S pencer conjecture up to poly-logarithmic rank","venue":null,"work_id":"4614301f-aad1-4363-b85f-e37d6cb86c64","year":2023},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.452203Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:1dd3698782630c57158d5710cfe1dfc18009f8f4771ee696dcfc9eccd2b1bd72","observation_id":"d3e74c65-94ff-44a7-aa20-da2d0a838414","resolution":{"observed_at":"2026-08-11T18:36:41.961150Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.05142","last_updated":"2024-06-25T13:12:48Z","snapshot_observed_at":"2026-08-10T12:56:52.275486Z","submitted_at":"2022-01-13T18:52:39Z","title":"Universality and sharp matrix concentration inequalities","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.05142","snapshot_observed_at":"2026-08-11T18:36:41.455797Z","title":"Universality and sharp matrix concentration inequalities","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.455797Z"},"links":{"cited_paper":"/paper/2201.05142","citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:c66cbcc1c073f047dc83f5c339fc75f1c1a312947f91f6494f3097550b60099b","observation_id":"43a2d507-499f-493c-ae38-ac832281ae29","resolution":{"observed_at":"2026-08-11T18:36:41.455797Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.947356Z","title":"Fast algorithm for overcomplete order-3 tensor decomposition","venue":null,"work_id":"f9e31726-8307-4d5d-b0f6-1f1b23572be6","year":2022},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.459774Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:7771f0339bf65294af47ea5f6533018a7efcb7bd5de25a651d0e3fae47883241","observation_id":"0050b890-e8bd-44ee-92ac-5adeaf23dadc","resolution":{"observed_at":"2026-08-11T18:36:41.951395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.938528Z","title":null,"venue":null,"work_id":"8116ca18-4ea0-4ccb-b66f-2c17ba8af7e2","year":2015},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.464264Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:8809e401f73554c44be55bdabca6ec18d2af6555c6b43a214760f2304bd66e0e","observation_id":"8f57c53e-9bb5-475c-85c0-b74cacca253c","resolution":{"observed_at":"2026-08-11T18:36:41.942156Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.928890Z","title":"Random Tensors","venue":null,"work_id":"432484a8-b590-4c9a-b6a8-5cf9c792ba0e","year":2016},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.467326Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:441c9143d8a01c52406f91f991814979a8a9c185d6ae51fadee322196965a48d","observation_id":"0fe7dba7-357f-4437-97cd-59e1008450f9","resolution":{"observed_at":"2026-08-11T18:36:41.932679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.470986Z","title":"Tensor principal component analysis via sum-of-square proofs","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.470986Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:98864a6bc667653b2aad4a3a0d76c56256f3b460b2d9719acf6dd0fdd4e6193b","observation_id":"27f79468-d331-406b-8e74-18c5c8ff18fa","resolution":{"observed_at":"2026-08-11T18:36:41.470986Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.474001Z","title":"A robust spectral algorithm for overcomplete tensor decomposition","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.474001Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:9a24a96e1ff38ca137cd3fb446449fc192aca16b85ff0b16aa3e96dc7e6e02ba","observation_id":"8bc6bfa2-f368-4273-a39c-a52b0830f2ee","resolution":{"observed_at":"2026-08-11T18:36:41.474001Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.912116Z","title":"Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors","venue":null,"work_id":"b27f0770-9562-4f4c-b615-3b60c3b960f8","year":2016},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.476976Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:0dc16755e791f0daf890eaf2cac6ba2f6c02aa9620609b520c7b04e2aa1a2b08","observation_id":"39bed350-9453-4b56-aea2-38e548a3156a","resolution":{"observed_at":"2026-08-11T18:36:41.915159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.903641Z","title":null,"venue":null,"work_id":"00110fd2-f6ee-4a32-9005-25ddd9345484","year":2020},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.480038Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:80c5b8c3c1e482fda59bc358706489e595107a73ef64b79534eb7b8506df47bb","observation_id":"66d31e1c-9192-4662-900b-2ec35eb2465a","resolution":{"observed_at":"2026-08-11T18:36:41.906250Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.896007Z","title":null,"venue":null,"work_id":"9af72d1b-b531-46d8-a86d-5c78ef9bf2ec","year":2021},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.483661Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:6153914d5fb055c9aba6442b0d14b9e536650e9d266375ccb2ac718b361d4d2a","observation_id":"fca27f77-d396-49fe-acb1-af23b177ddfe","resolution":{"observed_at":"2026-08-11T18:36:41.898722Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.887978Z","title":"Sum-of-squares lower bounds for sparse independent set","venue":null,"work_id":"6a4c1aaa-eb9d-43bf-8bd5-c1280fc145d3","year":2021},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.487489Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:2b23ccc37a018ee59deaf4b820e52339724be0bf103d9a747a9480192d02b6b3","observation_id":"859238ba-4ca5-4706-96ac-fd0eba99710e","resolution":{"observed_at":"2026-08-11T18:36:41.890883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.09416","last_updated":"2021-10-28T17:59:19Z","snapshot_observed_at":"2026-08-07T16:05:38.819733Z","submitted_at":"2020-11-18T17:27:36Z","title":"Exact nuclear norm, completion and decomposition for random overcomplete tensors via degree-4 SOS","version":2},"cited_work":{"arxiv_id":"2011.09416","doi":null,"metadata_source":"pith","pith_arxiv_id":"2011.09416","snapshot_observed_at":"2026-08-11T18:36:41.684214Z","title":"Exact nuclear norm, completion and decomposition for random overcomplete tensors via degree-4 SOS","venue":"cs.DS","work_id":"e82a60ac-3cd9-4494-99f3-e7a9e4d5d1a1","year":2020},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.491130Z"},"links":{"cited_paper":"/paper/2011.09416","citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:e65147cd5502acad261c99e0b0faea49c6c129e8fea2cf220301c06d00642363","observation_id":"707c7ee7-400c-4eaa-ad50-220971bede4d","resolution":{"observed_at":"2026-08-11T18:36:41.689403Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.880605Z","title":"Concentration of multivariate polynomials and its applications","venue":null,"work_id":"e1edca98-040d-4b0c-bc2d-038361e320b5","year":2000},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.494472Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:a570c3a690a6d741cf48c900301dfed999312a37267e49a74144ac92098236aa","observation_id":"4efd2c5a-09b7-4b89-bd7a-d6930d45186a","resolution":{"observed_at":"2026-08-11T18:36:41.883401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.872675Z","title":"Decoupling Inequalities for Polynomial Chaos","venue":null,"work_id":"01bb7e9d-1bb1-4891-87de-0b24a2b698e2","year":1987},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.497286Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:d328a95878febf7158491650af6fbf8ec3119c6f78986e9b97e612750c1b301e","observation_id":"c70f7718-cb5c-45c9-92e7-9eca58317375","resolution":{"observed_at":"2026-08-11T18:36:41.875491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.864339Z","title":"Estimates of moments and tails of gaussian chaoses","venue":null,"work_id":"0d8df012-befe-42ad-a5fa-8d5136795c8c","year":2006},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.500130Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:84bd8d2f24793045d37a62fe6d9b40bdc4c8b33c53e72604c5ab5115de4c3a31","observation_id":"b59fed03-1958-4154-b941-70c084057f59","resolution":{"observed_at":"2026-08-11T18:36:41.867197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.503728Z","title":"A note on quantum expanders, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.503728Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:24e47a46f48673414e166510a6e32c52fccae51beb93a3efffdd95babc88ad8b","observation_id":"f20cf86c-eb0a-4b59-9eff-e4bdf5cda19e","resolution":{"observed_at":"2026-08-11T18:36:41.503728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.856895Z","title":"Matrix concentration inequalities via the method of exchangeable pairs","venue":null,"work_id":"4111e997-b310-4639-8219-ee9940bf850d","year":2012},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.506702Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:4c3fa65677bd73b777b4065c0123d2842b1aea334dc2c7da585edb66a8589e76","observation_id":"7183a770-9f0d-49b0-95db-9383d82d1f9a","resolution":{"observed_at":"2026-08-11T18:36:41.859765Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.847789Z","title":"McConnell and Murad S","venue":null,"work_id":"fa53f5e2-f60b-4257-8e63-8e5a3d4a563f","year":1984},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.509439Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:b497d3367ab796500c2406c8a49b6c4cf4370916490de493f62703c57e472031","observation_id":"6de91610-d588-4d5a-bbe8-a17509f207e3","resolution":{"observed_at":"2026-08-11T18:36:41.851075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.840067Z","title":"Spectral methods from tensor networks","venue":null,"work_id":"ca144607-7760-4472-a930-541a553f6105","year":2019},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.513179Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:3ea29106460f121a87eee0134aaa56dfb90f307c5392f37fbc650ea43de58144","observation_id":"9fd88792-59b7-4978-9d1c-8cc80002ab2b","resolution":{"observed_at":"2026-08-11T18:36:41.842922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.829564Z","title":"Rivasseau","venue":null,"work_id":"6760c956-f402-48b1-a059-50a3c163f06b","year":2022},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.516490Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:6694da9fb3e721f7d8180d50f26b59f0dc5b58c41558f3c86549df377e7d7d0d","observation_id":"cede0482-bc79-4f46-901c-b0f90a8a8456","resolution":{"observed_at":"2026-08-11T18:36:41.833235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.821976Z","title":"New perspectives and tools for Tensor Principal Component Analysis and beyond","venue":null,"work_id":"04960e83-8307-4f93-93fd-0555b8bcecfb","year":2022},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.519627Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:a4fbebfebbb01314dd09997808081a9d2a8a732854edaefc61111c90fae14241","observation_id":"c8e25ee1-f26f-4a9d-8595-fa9d8406417b","resolution":{"observed_at":"2026-08-11T18:36:41.824941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.811456Z","title":"Polynomial bounds for decoupling, with applications","venue":null,"work_id":"70ae9611-4c5a-476d-aebc-64675ccbf99a","year":2016},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.523305Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:83db0c861fa1974804199f017b329d38274bc0539689044de84335639952d717","observation_id":"1406acd9-080e-4d8e-83a3-8eeb2b37063d","resolution":{"observed_at":"2026-08-11T18:36:41.814835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.801569Z","title":"Peña and Evarist Giné","venue":null,"work_id":"09df4da5-fcfe-40ba-8ffe-3b45b081a9b2","year":1999},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.526672Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:96dd3ddf1eb5e3411c80fd9e9c25ea896dd8d25ab9a7c2979c5fd75997e2abde","observation_id":"d80b05f8-1786-492a-97d1-e2038c6c20aa","resolution":{"observed_at":"2026-08-11T18:36:41.804579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.792610Z","title":"Pena and S","venue":null,"work_id":"12fa9fe5-4821-485f-b811-547f14b34964","year":1995},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.530074Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:ed42f12dbe3b403065d660a0c1a8650a63bcf6c4cf2f857c1d6e15b9555b69ee","observation_id":"d68d2e2d-8a14-4a75-998d-8f6172406895","resolution":{"observed_at":"2026-08-11T18:36:41.795554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.783494Z","title":null,"venue":null,"work_id":"4c428043-c52e-41ec-8936-e3efcf4dd824","year":2016},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.534246Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:7897694b674e03fe77fe2f4b9ca576877fc02215623aa8f7cb7fe396248d6c18","observation_id":"73755bdb-128b-4f68-8468-d4ab0d464569","resolution":{"observed_at":"2026-08-11T18:36:41.786840Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.774242Z","title":"Nonlinear R andom M atrices and A pplications to the S um of S quares H ierarchy","venue":null,"work_id":"41b31181-7274-490d-b57f-2f4b181522c8","year":2022},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.537050Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:f871923fef5ace70f8f44638165a5d1a7fef6b1512556dfb276a3b8c390700ee","observation_id":"98e53ccf-0d15-4a93-a04a-434bd246a625","resolution":{"observed_at":"2026-08-11T18:36:41.778030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.763724Z","title":"Compressive sensing and structured random matrices","venue":null,"work_id":"0fe1d823-0492-450c-8449-af1788a2964c","year":2010},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.540241Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:58f24eb55591dfdcae947bb335a91f4e6bd9abf8bf0f3298619c64a64138c407","observation_id":"2da6cf0c-bc93-496a-8e6b-8cf8ac700b31","resolution":{"observed_at":"2026-08-11T18:36:41.766734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.754158Z","title":"A statistical model for tensor pca","venue":null,"work_id":"7b017246-2d2b-4796-86a5-5f52ee07a3b6","year":2014},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.543648Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:5b2cbc929c2be75ca4bd3ba8d1a87517e12d80b816872f39f70a489aa8787d6c","observation_id":"676fad9b-2641-4cba-8869-a5ba5d345b95","resolution":{"observed_at":"2026-08-11T18:36:41.757842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.742107Z","title":"Concentration of polynomial random matrices via efron-stein inequalities","venue":null,"work_id":"d82a6ce6-9a23-42e7-969a-5e3b4ed3a3cd","year":2023},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.546851Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:97bf5ae2ad17ff0cb5aebecd68f2b95630ab8edb1a6c74705cc0075709a247ae","observation_id":"7d727d3c-bdf0-410e-ac69-c7a835627c37","resolution":{"observed_at":"2026-08-11T18:36:41.745622Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.731377Z","title":"Trace inequalities for matrices","venue":null,"work_id":"cf6acfa9-213c-4b99-9ae7-5ae4643b86ba","year":2013},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.549835Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:1fd86ed1892a95072bc7b98ee64c8e4000f483548b6ec95fada930b73a6e6d70","observation_id":"94db9f79-b746-4202-8d9e-f1798bf868cd","resolution":{"observed_at":"2026-08-11T18:36:41.734863Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1109.5193","last_updated":"2012-06-08T12:13:46Z","snapshot_observed_at":"2026-07-06T02:34:32.759448Z","submitted_at":"2011-09-23T20:27:58Z","title":"Bernstein-like Concentration and Moment Inequalities for Polynomials of Independent Random Variables: Multilinear Case","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1109.5193","snapshot_observed_at":"2026-08-11T18:36:41.553178Z","title":"Bernstein-like concentration and moment inequalities for polynomials of independent random variables: multilinear case","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.553178Z"},"links":{"cited_paper":"/paper/1109.5193","citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:42860fe17d4bf59be82742862cf6d0d59c0baa59c0b3a0328a4c5c28b7341c9a","observation_id":"c82251cb-5155-4178-9ae4-4f66dcfb33dd","resolution":{"observed_at":"2026-08-11T18:36:41.553178Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.721023Z","title":"Concentration and moment inequalities for polynomials of independent random variables","venue":null,"work_id":"178c8d79-2803-4e5e-9fcb-42ef1b2255f7","year":2012},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.556724Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:e1131bc979ea96b288a83cc9f0578bcd9f072028a18e54e1b9060d7949de8c25","observation_id":"738cf77c-75ed-4d8b-b433-6498655e5836","resolution":{"observed_at":"2026-08-11T18:36:41.724181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.560013Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.560013Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:ace718a898a9d750cef4907c50aec2a11ec8326f4deabef1fb007d667c898a2d","observation_id":"c5a6ed4d-0db4-4ac7-a9a0-5f23277613d5","resolution":{"observed_at":"2026-08-11T18:36:41.560013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:36:41.563524Z","title":"High-Dimensional Probability: An Introduction with Applications in Data Science","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-11T18:36:41.563524Z"},"links":{"citing_paper":"/paper/2412.07936"},"observation_digest":"sha256:b81696e57cbf2f885e98e5a208f1cc2d50df8f5f86478b200c5c80a1494a8c49","observation_id":"bc80a775-b8f6-47c5-8dd7-8aaafc1f2c6f","resolution":{"observed_at":"2026-08-11T18:36:41.563524Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.07936","last_updated":"2024-12-10T21:43:09Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-13T14:58:06.001138Z","submitted_at":"2024-12-10T21:43:09Z","title":"Simple Norm Bounds for Polynomial Random Matrices via Decoupling"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":1,"verified_fuzzy":29},"total_outbound_references":42},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2412.07936."}