{"as_of":"2026-08-19T04:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:79226b05d17e878514922341cee5e9f97f6d7895e4e58a81f7c8c5fbf3bd1421","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T11:53:20.827567Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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":"2026-08-10T22:07:33.377732Z","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":"2026-08-10T22:07:33.784989Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"cited_work":{"arxiv_id":"2412.15026","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.15026","snapshot_observed_at":"2026-08-10T22:07:33.784989Z","title":"Multilinear matrix weights","venue":"math.FA","work_id":"5e869c38-ca9a-46c3-9a5f-aaf63eba2016","year":2024},"citing_paper":{"arxiv_id":"2501.03050","last_updated":"2025-01-06T14:38:23Z","snapshot_observed_at":"2026-08-18T14:24:13.852074Z","submitted_at":"2025-01-06T14:38:23Z","title":"Besov--Triebel--Lizorkin-Type Spaces with Matrix $A_\\infty$ Weights","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-10T22:07:33.377732Z"},"links":{"cited_paper":"/paper/2412.15026","citing_paper":"/paper/2501.03050"},"observation_digest":"sha256:81457ca7d3208933e9e355ed7b1c060911c9d88cf64c38038381361d4ff6c3d0","observation_id":"ce4acd33-41e3-408c-bc7a-2357c5dc1dbf","resolution":{"observed_at":"2026-08-10T22:07:33.790058Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.15026/citation-record","integrity":"/paper/2412.15026/integrity","json":"/paper/2412.15026/citation-record.json","paper":"/paper/2412.15026"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:53:21.497981Z","title":"auser Classics. Birkh\\","venue":null,"work_id":"706dcc4c-414e-4a0e-afcd-5a074e9caa11","year":2009},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.641238Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:d02b092e03267113efab3d70830cd9a448593c2260f15a92d947a5b6e742db5d","observation_id":"dc92d763-75d2-43c3-b214-e90a989df683","resolution":{"observed_at":"2026-08-11T11:53:21.501678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:20.645441Z","title":"Bownik and D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.645441Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:74290923833f1a7bc4dd3bb3693bb4ebb0ba88de9420de165384ea4a2acd2231","observation_id":"9482bec4-2a69-4c29-a09b-97eac1c689d6","resolution":{"observed_at":"2026-08-11T11:53:20.645441Z","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":"2026-08-11T11:53:21.485178Z","title":null,"venue":null,"work_id":"72363cbe-e02b-4549-961d-1d107feb0b47","year":1993},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.649168Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:26d5165f48810670f007892a2463d50434c0eac9a4e36053ab33d9fcad9ee08e","observation_id":"b29c145d-2a28-4c9b-8ccc-054df6deebf9","resolution":{"observed_at":"2026-08-11T11:53:21.489438Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.462841Z","title":"Christ and M","venue":null,"work_id":"9c7a3a72-6513-48c1-acb2-d0c48aacf3df","year":1995},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.652936Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:b7fb2ac0b6f990f989340fda69c12700380f1b5c5671aa6286c8217efab4ab49","observation_id":"3d1fec32-9695-4693-86e7-145a0581661f","resolution":{"observed_at":"2026-08-11T11:53:21.474032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.448514Z","title":"Cruz-Uribe , J","venue":null,"work_id":"8ad90c15-81e6-472d-83bf-c9f16bb63e4b","year":2018},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.656523Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:8bc40450e46c1bd96cb65b6c5ab964b0a553df59b74c6f91de9a6e3347ab831e","observation_id":"ca1bc415-154e-4ced-99cb-b31d7079ee44","resolution":{"observed_at":"2026-08-11T11:53:21.452912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.435828Z","title":"Cabello Sánchez and D","venue":null,"work_id":"7c9009d1-6f92-4437-a967-83fdec269b69","year":2021},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.660332Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:ab7b90f80591e8836872f07c4caf1d4603ccc284741caf40e40ccfa285da3fb1","observation_id":"820890ac-aee2-4899-b59d-b53f7b54aebf","resolution":{"observed_at":"2026-08-11T11:53:21.440210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.423519Z","title":"Conde-Alonso and G","venue":null,"work_id":"aa8b15eb-1b6b-4540-a495-8f4d16b9fbd5","year":2016},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.664453Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:e00eebd19ee656a698429210180443c42cd37f6d8dcb4da069fd902b8a64fb0a","observation_id":"ae71818e-86ad-4324-a99c-0e62ad84b86d","resolution":{"observed_at":"2026-08-11T11:53:21.427522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.409099Z","title":"Damián, M","venue":null,"work_id":"0832d04b-2efe-4877-b4d2-3c807d6ff005","year":2018},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.668210Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:0528eaafac5a99330f34364530b970cf201098f4700d70a040f4767596c02d1a","observation_id":"4c6363d0-e9ce-4ca5-8d96-da6605e7c04e","resolution":{"observed_at":"2026-08-11T11:53:21.414745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.06961","last_updated":"2024-02-10T14:29:51Z","snapshot_observed_at":"2026-08-16T14:19:40.390049Z","submitted_at":"2024-02-10T14:29:51Z","title":"The matrix $A_2$ conjecture fails, i.e. $3/2>1$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.06961","snapshot_observed_at":"2026-08-11T11:53:20.672638Z","title":"Domelevo, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.672638Z"},"links":{"cited_paper":"/paper/2402.06961","citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:d082ad9ae60be9e9eacdff5f49b0a1d5a1835cdd2e7857e803b2e4ac1e865b8d","observation_id":"53644514-da18-4fcc-b2b3-74c6390d1bbc","resolution":{"observed_at":"2026-08-11T11:53:20.672638Z","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":"2026-08-11T11:53:21.396381Z","title":"Goldberg","venue":null,"work_id":"716d06a0-a40a-4b60-838d-1309eeb8e7fb","year":2003},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.676810Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:0e2579ba21fd54a4a1eb848313761f18e2656dac4573fc340b5efa9b5865d221","observation_id":"aeb71ee5-1aea-44bb-873a-4f7b58210060","resolution":{"observed_at":"2026-08-11T11:53:21.400088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:20.680837Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.680837Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:98e75aa6a1f09f2b0a0c72eee9d001f62e1e1428fb9c9c5d11219a77629454ce","observation_id":"5add79ac-f3fb-4434-8820-b9486f6160ae","resolution":{"observed_at":"2026-08-11T11:53:20.680837Z","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":"2026-08-11T11:53:21.375260Z","title":"Hyt\\\"onen and C","venue":null,"work_id":"62665c6b-952b-406f-83fe-c9879249edd6","year":2013},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.684798Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:b21ddbfb808a7ea7c5442f9a3ddc0b582b43e4c9df303c21750dc09147c8ffef","observation_id":"6d9e310a-30f2-444b-a9bf-8bd89c4f8167","resolution":{"observed_at":"2026-08-11T11:53:21.378760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:20.688537Z","title":"onen, C. P\\'erez, and E. Rela. Sharp reverse H \\","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.688537Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:3dca235ad2313300e6299c76eb21ab4dbc7476325ffb0079e70263ae4b3f584a","observation_id":"3cd04046-6d34-4bb0-b0b0-65d756665586","resolution":{"observed_at":"2026-08-11T11:53:20.688537Z","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":"2026-08-11T11:53:21.354144Z","title":"Hyt\\\"onen","venue":null,"work_id":"d71d5da0-9657-4676-a184-75613aa90c24","year":2012},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.695524Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:478bbd5930860605dd412c19d04ef36f83fe4a7b76c86876ce079d7021d6ec6a","observation_id":"8beb0457-804b-405a-95b6-e773f939d6be","resolution":{"observed_at":"2026-08-11T11:53:21.357381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.342835Z","title":"Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols: Weighted inequalities, commutators, and paraproducts","venue":null,"work_id":"33bd6b42-ee9f-4b4c-98ae-f7a207bfa660","year":2017},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.701573Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:24c06962e1c0240323391c4162986bb85054d328bdc8b48fe76ea7eec93f950b","observation_id":"ccdeeaad-b072-43a2-886f-55dce8e4086f","resolution":{"observed_at":"2026-08-11T11:53:21.346477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.331110Z","title":"Matrix weighted poincar \\'e inequalities and applications to degenerate elliptic systems","venue":null,"work_id":"2be1fa17-de1b-4975-a3c4-09ec0a8480dc","year":2019},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.706898Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:430b9d1e690f8becd84f5f472fbe669b979a736a1e58f84669b3913416f4e46e","observation_id":"18b354a7-fb39-4361-ba98-eadd7835fe0b","resolution":{"observed_at":"2026-08-11T11:53:21.335008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.02246","last_updated":"2024-04-25T17:20:52Z","snapshot_observed_at":"2026-08-19T01:04:28.827574Z","submitted_at":"2024-04-02T19:07:48Z","title":"Matrix-weighted estimates beyond Calder\\'on-Zygmund theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.02246","snapshot_observed_at":"2026-08-11T11:53:20.716209Z","title":"Kakaroumpas, T.H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.716209Z"},"links":{"cited_paper":"/paper/2404.02246","citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:cd88a447933890896bcc28d8bd77c1155eeaddd372f1f9abe32658f248b2b541","observation_id":"b590ac13-f0c8-4751-8146-dfc69c4445d2","resolution":{"observed_at":"2026-08-11T11:53:20.716209Z","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":"2026-08-11T11:53:21.319921Z","title":null,"venue":null,"work_id":"6fc7959d-219f-44a9-8617-24228d737e58","year":2013},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.723819Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:a6b64ad98d1040181b104dadf768812e9ee9a6613b1d688bf5d47acf990022b5","observation_id":"af460ffc-e3df-4741-922f-2280c0863fb8","resolution":{"observed_at":"2026-08-11T11:53:21.323465Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.307222Z","title":null,"venue":null,"work_id":"5c73ff28-29eb-4875-9d76-cdc01452055c","year":2024},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.731689Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:034a3f953a71f1edf593bf292d8126e766867791caf58792461dae7397e9e493","observation_id":"0f6d504f-b9f0-498e-9c5d-6d3ae124660e","resolution":{"observed_at":"2026-08-11T11:53:21.311372Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.293883Z","title":null,"venue":null,"work_id":"6900b0fc-d475-45da-8c81-0d3fadff96ad","year":2018},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.741238Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:b9c81bfda71c11db573b158f59ac27db9dc8319b97cd46666a996c2257feee68","observation_id":"0cad2092-47b6-4434-99e6-9d3cbd2f9d38","resolution":{"observed_at":"2026-08-11T11:53:21.297984Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.03338","last_updated":"2018-03-15T10:52:20Z","snapshot_observed_at":"2026-08-14T19:47:20.104828Z","submitted_at":"2018-02-09T16:39:53Z","title":"Extrapolation for multilinear Muckenhoupt classes and applications to the bilinear Hilbert transform","version":2},"cited_work":{"arxiv_id":"1802.03338","doi":null,"metadata_source":"pith","pith_arxiv_id":"1802.03338","snapshot_observed_at":"2026-08-11T11:53:20.965840Z","title":"Extrapolation for multilinear Muckenhoupt classes and applications to the bilinear Hilbert transform","venue":"math.CA","work_id":"32cbf88a-1dbb-42bc-9f5b-a8c856efaf7e","year":2018},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.749337Z"},"links":{"cited_paper":"/paper/1802.03338","citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:d2169c5eee757c1543e8c030a6c7445828fe13469f2a10112ea212639bbef208","observation_id":"bfce642b-f459-43f5-9698-3e9ee614030f","resolution":{"observed_at":"2026-08-11T11:53:20.970499Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.281115Z","title":null,"venue":null,"work_id":"8004f879-3475-42d9-99ac-6792809c0c03","year":2020},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.757263Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:239c6cadcd6248d8747d3eb91f779ece6bd353aafa36bc46ced7abe9029cc4e1","observation_id":"a400bd6b-5537-4872-ae0b-8a2385a763a1","resolution":{"observed_at":"2026-08-11T11:53:21.284807Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.269010Z","title":null,"venue":null,"work_id":"7ef85010-9b5e-480b-85ac-f029aa4fa45d","year":2014},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.765491Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:56b7483905370deff55ef5d8e1916b149e2817255ce114cdfd524bbd9f7ff8aa","observation_id":"078828f7-0eda-42e2-bc04-1b45306a9916","resolution":{"observed_at":"2026-08-11T11:53:21.272825Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.257472Z","title":"Lerner and F","venue":null,"work_id":"2fe5ccb7-3d58-4e11-92e0-4a2cc024103a","year":2018},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.769181Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:51c01470b4c3505e3bd2224c21ed5dc156a03ad385173be9c0726b00fa9d61cf","observation_id":"ac8cd6ce-3aeb-4b98-b4b8-77b9805a8a0a","resolution":{"observed_at":"2026-08-11T11:53:21.261086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.244005Z","title":"Lorist and Z","venue":null,"work_id":"f058bbdc-2d88-4e86-89ce-a75d11d68306","year":2024},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.773094Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:bc1471aaa26bfb86f44ca915aa3ebd4fa47d1784dcbeeba8ce604835c7a30f9a","observation_id":"7889a3ce-de2f-47ec-acb7-3b08b4d50f9d","resolution":{"observed_at":"2026-08-11T11:53:21.249194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.231829Z","title":"Lerner, S","venue":null,"work_id":"f018f715-c5c2-498c-9c4d-ffb221e6abaa","year":2009},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.776842Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:eb7b802d1e6360514eb9d5f4572fe8e768d000053d5fb9284e24e6be9a692bb4","observation_id":"5bec15ed-f133-4d91-8c6f-ac8268cc7d28","resolution":{"observed_at":"2026-08-11T11:53:21.235877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:20.780656Z","title":"Muckenhoupt","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.780656Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:603722f58962eca37cbcbaea7b22035fbfc5b571c223a339db18072aa166e231","observation_id":"a0c13166-e927-49e6-bc9c-c699c1fdfcea","resolution":{"observed_at":"2026-08-11T11:53:20.780656Z","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":"2026-08-11T11:53:21.213772Z","title":"Nieraeth","venue":null,"work_id":"2629cee8-11a7-4939-b2f0-fb95da729265","year":2019},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.785809Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:c3d4127cd6974373145aac1cf00359263e046c881f85481d1ea26fbeacad2488","observation_id":"e416ed51-3bf1-4288-8789-cd8bf8bfd542","resolution":{"observed_at":"2026-08-11T11:53:21.217072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.201878Z","title":"Nieraeth","venue":null,"work_id":"7750954b-d064-48d2-b898-8d68800c75ec","year":2020},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.790114Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:4d8dfd0825392feaf149b31da9b6781bc545a8a097e224668596118a662943a9","observation_id":"7ab4ceea-d2e5-4d53-b595-c3574d93a83e","resolution":{"observed_at":"2026-08-11T11:53:21.205753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14666","last_updated":"2025-08-28T18:19:42Z","snapshot_observed_at":"2026-08-16T13:23:40.442165Z","submitted_at":"2024-08-26T22:12:34Z","title":"A lattice approach to matrix weights","version":5},"cited_work":{"arxiv_id":"2408.14666","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.14666","snapshot_observed_at":"2026-08-11T11:53:20.939648Z","title":"A lattice approach to matrix weights","venue":"math.FA","work_id":"c56ebfcb-46b5-4017-bb33-3f342556603c","year":2024},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.794835Z"},"links":{"cited_paper":"/paper/2408.14666","citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:ec78340c77be8da10677d945c5ec9ba774e54f7ded19860bdfd76daa0e67d5ad","observation_id":"3613e42a-b5ac-4f78-a196-c9ba795f3880","resolution":{"observed_at":"2026-08-11T11:53:20.947325Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:20.799552Z","title":"Nieraeth","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.799552Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:490eb1c26e5dd519b17443b1b73c049cbba34bb5a48391079029cbd3fe198095","observation_id":"5ec96b8d-9680-4a17-b432-be2487c5891c","resolution":{"observed_at":"2026-08-11T11:53:20.799552Z","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":"2026-08-11T11:53:21.189574Z","title":"Nazarov, S","venue":null,"work_id":"a221ebfc-9f48-42a3-b085-e6701d57949c","year":2017},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.802844Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:490bb7243333d3fceb7e463160f7258804a76a181436854e3a6ad6e693778517","observation_id":"1e236b85-5449-4e3c-b679-58d27823b417","resolution":{"observed_at":"2026-08-11T11:53:21.193448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.178302Z","title":"Nazarov and S","venue":null,"work_id":"d1208cce-2d37-4ad2-97a0-72b74eb6b0f7","year":1996},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.806812Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:926dd78df61ba099fb26bae3e3c886b1a68363b75a97efd1980f95c749af5514","observation_id":"23dced0f-fabb-4bbf-a609-9310cf9a993a","resolution":{"observed_at":"2026-08-11T11:53:21.181529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.165720Z","title":"Roudenko","venue":null,"work_id":"e08dbcee-9c99-4036-9589-c3702752f6c6","year":2003},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.810603Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:57e0ecad5f5447501b8c8d53de44700ae7e607f7a70282decdf24b15cad33443","observation_id":"fee276c9-ce47-492e-82de-e11b62b38c04","resolution":{"observed_at":"2026-08-11T11:53:21.170318Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.154106Z","title":null,"venue":null,"work_id":"101dae71-ea46-416e-bdd9-ff9b33204f40","year":2010},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.814386Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:65b03a0edecaa7c97511b8f572585a6f1daf81eca01ce8620de87719865756ec","observation_id":"21d79a81-1ac8-4882-8f0c-c1f51e1babb0","resolution":{"observed_at":"2026-08-11T11:53:21.158097Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.139536Z","title":null,"venue":null,"work_id":"291d3cb2-ac43-4d66-ab70-2143d43e9c65","year":1989},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.817958Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:585a70136c1036afb4f9dc747908baf6d80aa2853d949aa92a20f469872145e8","observation_id":"19344d09-3c59-4f58-bc65-797f1a499811","resolution":{"observed_at":"2026-08-11T11:53:21.143755Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.125322Z","title":"Treil and A","venue":null,"work_id":"32864e3d-95ec-40c3-b2d8-ea4dbcd29c8c","year":1997},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.821151Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:8bca93ccbca2a3ee2474a201a135454abb225b1e592d48e177466f4c60466367","observation_id":"845a1436-9f7f-489b-af62-c0897c085734","resolution":{"observed_at":"2026-08-11T11:53:21.129195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.110942Z","title":"Treil and A","venue":null,"work_id":"23edb0fc-da99-4160-b237-94eaed8fddd2","year":1997},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.824494Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:a774c510914663732d1d422789d3e126f515c8aeb235b3709d143f1d1985e368","observation_id":"b461f662-56c5-4fb0-851f-2d9bf1ec00f7","resolution":{"observed_at":"2026-08-11T11:53:21.115468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T11:53:21.090701Z","title":null,"venue":null,"work_id":"3ddb108d-fe40-4718-87c2-ad023e9f0a47","year":1997},"citing_paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-11T11:53:20.827567Z"},"links":{"citing_paper":"/paper/2412.15026"},"observation_digest":"sha256:3d3395591b9d6efa991be2e4cbc5580576838f5fad8445b9ced2165cebd3b5e8","observation_id":"2ac771bd-cf16-47a9-9625-0f1f499eb2fb","resolution":{"observed_at":"2026-08-11T11:53:21.095899Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.15026","last_updated":"2024-12-19T16:38:38Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-19T02:47:15.430950Z","submitted_at":"2024-12-19T16:38:38Z","title":"Multilinear matrix weights"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":2,"verified_fuzzy":21},"total_outbound_references":39},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2412.15026."}