{"as_of":"2026-08-16T14:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:898f26565dd3c7a7130d527cbeb463755d7a1be370972fed1a0dbb771e4c17f7","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:36:24.322844Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.01178/citation-record","integrity":"/paper/1908.01178/integrity","json":"/paper/1908.01178/citation-record.json","paper":"/paper/1908.01178"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.750416Z","title":"Byrenheid, L","venue":null,"work_id":"2280248a-5f1c-4d1c-8818-78a6459e0f3f","year":2017},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.208363Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:7b9d26daf11e3d735f22d3ffb321af7b0778feb4b8b86f7aab87465614461498","observation_id":"34b70ba6-27ef-4ba2-be50-696399638da0","resolution":{"observed_at":"2026-08-14T15:36:24.753538Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.741938Z","title":"Chkifa, A","venue":null,"work_id":"d6d1577e-f7a6-4a6d-98d9-09d1106b3886","year":2015},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.212866Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:92bd23acdd61ffc5d9424142795ec72e752e4c21213dc280eb77bc9b5392de75","observation_id":"17432ba0-c6bb-49c3-938e-fe2a0418026f","resolution":{"observed_at":"2026-08-14T15:36:24.745208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.733446Z","title":"Cohen, M","venue":null,"work_id":"016e952e-1d24-4c77-ad6d-86cbdd99c60d","year":2013},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.216590Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:0e5d5139038274d600a9e3467fa19eeaa374ebfe8402d85a6a0b93f3a4d58de6","observation_id":"7cea112a-e717-42c5-a1c8-5699a94e58da","resolution":{"observed_at":"2026-08-14T15:36:24.736586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.725027Z","title":"Cools, F.Y","venue":null,"work_id":"07849022-0196-4652-8633-5d6828a6a061","year":2010},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.220078Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:e93005d0be0b6ab35a6a93954bf600fe324370e695871e10a1750c1c0d603b3d","observation_id":"f800fffc-da6e-404a-bd5d-fd9e3cc53c4d","resolution":{"observed_at":"2026-08-14T15:36:24.728098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.716107Z","title":"Cools, F.Y","venue":null,"work_id":"dd097865-05d7-4822-9958-9d25c2400224","year":2016},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.223526Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:e721dea87b779c9f7b99c286ddb0e3f23e06cc1ce3a66f90cf534a0405ec95f2","observation_id":"1c52703f-3545-4bd2-b733-f9ad73a44531","resolution":{"observed_at":"2026-08-14T15:36:24.719162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.707901Z","title":"Cools, K","venue":null,"work_id":"d600260c-10c0-427c-97b0-f2216a02a369","year":2011},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.227180Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:f56679908675cbe822e477705e1181a7db5ef7b37a5394cae4939a771e31ecbd","observation_id":"3382051b-a291-4e46-880e-b9fe846c4abb","resolution":{"observed_at":"2026-08-14T15:36:24.710795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.699623Z","title":null,"venue":null,"work_id":"aba4eefa-f0fc-4710-9198-341720e052fa","year":2014},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.230853Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:810bdfcbffa7b44f4cd20c95d2e76985cbf5fb52b7025f4ae08283a0e9271c8f","observation_id":"043cea1c-7414-4669-bf50-cb7c2e88f8c4","resolution":{"observed_at":"2026-08-14T15:36:24.702632Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.691223Z","title":null,"venue":null,"work_id":"22055069-f423-4f16-93dc-1f1055a51928","year":2000},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.233869Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:d90fe9b39e1534261a1ff21e9403636d6af600951ee6481d7db8d2a977fe2e00","observation_id":"63fe7d48-54c7-4850-81a5-bbb6a5e8b462","resolution":{"observed_at":"2026-08-14T15:36:24.694317Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.682206Z","title":"K¨ ammerer, Reconstructing hyperbolic cross trigono metric polynomials from sampling along rank-1 lattices, SIAM J","venue":null,"work_id":"b0036d14-dbc1-4b75-b448-ea8b89a2a7df","year":null},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.237014Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:356e793e14acdd462c402637ae316ac695847a2f2be27afb09984b661c6a8ceb","observation_id":"b893653a-5ab3-4f17-93c0-1fab8daac993","resolution":{"observed_at":"2026-08-14T15:36:24.685764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.673060Z","title":"K¨ ammerer, Reconstructing multivariate trigonome tric polynomials from samples along rank-1 lattices, in G.E","venue":null,"work_id":"42aded7d-27ff-4e0c-99af-5d06a9abeb7e","year":2013},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.240288Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:d1d8d85790f5b421b3f8b3ae23ebf0522506c92917eaf326a9d69ee3744f3a08","observation_id":"8ac7f08e-ec3e-40b9-b8db-ccf777b4ee99","resolution":{"observed_at":"2026-08-14T15:36:24.676906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.664768Z","title":"K¨ ammerer, D","venue":null,"work_id":"cb857c2a-b6b7-4136-9275-d18fd92f4c87","year":2015},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.243271Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:75d45eb7f33d1d6cc89d9acfbe13b60dfe2a824f82484f2c6387ef89a06cc3a2","observation_id":"ab2e04e5-8fe6-49a9-b01b-1edab4eb515b","resolution":{"observed_at":"2026-08-14T15:36:24.667802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.656636Z","title":"K¨ ammerer, S","venue":null,"work_id":"74775b68-321d-4a5f-a030-ceaa4a9fefff","year":2012},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.246585Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:0a58e0af6aec4865f18c3c4a67f5ecb6e17f899e83ea8c7fb9c7d5d8dd8d39a5","observation_id":"4fe25917-a259-41c8-aa35-08509b18a39e","resolution":{"observed_at":"2026-08-14T15:36:24.659579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.647973Z","title":"K¨ ammerer, T","venue":null,"work_id":"4bd44d9f-12e8-44df-85ba-811daba5953d","year":2019},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.249966Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:e1a91b674445915397dc592ce92e0ea1c012f670c0fb6002e14a40262e2213c1","observation_id":"2ae937f2-240f-46dc-8d30-2714f5a95cd1","resolution":{"observed_at":"2026-08-14T15:36:24.651242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.639539Z","title":null,"venue":null,"work_id":"bb9a8465-2234-4ef8-a4fb-0923ba67fc9b","year":2004},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.253203Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:99f8dc3cca862c1fef14d279c7f0c9f3ea36f125b59a77d5365214d3fd504793","observation_id":"9dd8ea53-fe41-4cd2-b581-445acc37ecf6","resolution":{"observed_at":"2026-08-14T15:36:24.642596Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.631101Z","title":null,"venue":null,"work_id":"f74fde93-2849-4668-b18e-60de601285bd","year":2008},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.256314Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:7f2fe75a4829312ceb9004f9cd923b1370f5fdc408e78e3706b959448464e624","observation_id":"92a806cd-e967-4811-9ace-a50c4d30c417","resolution":{"observed_at":"2026-08-14T15:36:24.634075Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.623001Z","title":null,"venue":null,"work_id":"ae4df2ce-3a77-46b6-8c4e-aad1ccdc8e72","year":2008},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.259188Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:ce339b744cf129881d7ce24cbc7c343094b02cea0f897517f1241ff92b605fc1","observation_id":"0d3da267-1f97-4942-94ce-3c342adfe6ea","resolution":{"observed_at":"2026-08-14T15:36:24.625846Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.614494Z","title":null,"venue":null,"work_id":"c8ca6a00-22a1-43ca-87f6-3608ddd3ef45","year":2009},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.262328Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:5da8a3c4dc70f782fe0986bf5c39c29996bea7963830123c8ad1730d84483391","observation_id":"48cbfd9c-1875-4b32-9536-733104814b8c","resolution":{"observed_at":"2026-08-14T15:36:24.617664Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.605735Z","title":null,"venue":null,"work_id":"4d8bd0cd-7cd2-4a4e-b77d-fc62ed19b9e0","year":2009},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.265614Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:6983f919991d2af7260166505fd5bf95913aa2e48cb74eeb48e20952cd58ce8d","observation_id":"c645fdfa-74c9-45be-aece-b243dc9b5c28","resolution":{"observed_at":"2026-08-14T15:36:24.609468Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.596970Z","title":null,"venue":null,"work_id":"5b008122-ba54-49f0-a7f8-44defade6e61","year":2003},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.268824Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:6e8c5954e8dd099fbe9372696ff34eb40635e8be50b12c9e111a1b4549078285","observation_id":"07690f39-ef2e-4743-8aba-48ed5781a531","resolution":{"observed_at":"2026-08-14T15:36:24.599973Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.587604Z","title":null,"venue":null,"work_id":"21f05636-1c91-402b-871f-8eac6284bce7","year":1994},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.272114Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:9b9251743661d545d5e00a7e12760c6a9ebedb4267dd26fce7d3298ece9670e7","observation_id":"772e9b4f-6375-4651-b9fc-e7a70f1c20d2","resolution":{"observed_at":"2026-08-14T15:36:24.591637Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.578489Z","title":"Migliorati, F","venue":null,"work_id":"414c9a10-7857-496b-a83f-b4609ee6d49e","year":2014},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.275514Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:46d7441ecee9f219fb7e0981eff1d1fb90eeff35f647ee0a550e69e8cba7bcb8","observation_id":"e2ec0a84-e505-4622-b19c-9a0f617264eb","resolution":{"observed_at":"2026-08-14T15:36:24.581790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.569582Z","title":"Migliorati, F","venue":null,"work_id":"330f75d8-ccdb-4e7f-909c-deb40038e972","year":2015},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.278965Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:ea2a451a2ecdab238c25a916690c9a2d74885a1c301e96b3d47eb3fe2ad0448f","observation_id":"94e164cb-0642-44ef-9e56-eefee9a4bf53","resolution":{"observed_at":"2026-08-14T15:36:24.572919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.561337Z","title":"Migliorati, Multivariate Markov-type and Nikolski i-type inequalities for polynomials associated with downward closed multi-index sets, J","venue":null,"work_id":"4dbe8804-0970-4f02-a18d-efcdcabeab7d","year":2015},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.281954Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:56b6151e719e8692e4861a07e91dfae367bec6b2e6bb23d064d8369b011d0e65","observation_id":"b839d6a3-41b7-41b1-aff0-6f587e65e793","resolution":{"observed_at":"2026-08-14T15:36:24.564610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.553002Z","title":"Munthe-Kaas, T","venue":null,"work_id":"d21d7fc6-8930-42b0-adf3-012688a67f9e","year":2012},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.285077Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:8f92df992cf608df3b6b2c33abcecfec4fc86e462d70d3926fa253b28bf50365","observation_id":"f5348ab8-97ff-4465-bcb3-b5ab4991bbd5","resolution":{"observed_at":"2026-08-14T15:36:24.555963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.544787Z","title":"Narayan, Z","venue":null,"work_id":"749d536a-2ad4-4771-8bb9-88ba104ede2d","year":2014},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.288280Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:379e789c4d1c76f82e375b2aef2ca076b4acbc29c2ab403d9fc27ba82021ed7e","observation_id":"74c43976-6082-4f10-a45c-6aeb633ec0d5","resolution":{"observed_at":"2026-08-14T15:36:24.547836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.536098Z","title":"Potts, T","venue":null,"work_id":"8d12b9cd-1413-4ce9-a993-ac57317a9faf","year":2015},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.291598Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:49d30702f6fb538af62f43ee3770facd191dd092b8c6147a456f36d02054fd52","observation_id":"188440e7-5c78-4455-9a4a-e92bc73ad0ea","resolution":{"observed_at":"2026-08-14T15:36:24.539372Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.527396Z","title":"Potts, T","venue":null,"work_id":"07b54a47-5d9f-4476-9cb8-3f4c2a77a8a7","year":2016},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.294625Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:a84894ac21f2c96ad5c1341af35e627421176d0bbbdb1f6bec64a504d8af2d95","observation_id":"2336a789-7ed2-43bb-ba06-174aaa9ae71b","resolution":{"observed_at":"2026-08-14T15:36:24.530478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.518703Z","title":null,"venue":null,"work_id":"3b7c2d18-a3de-495d-a490-95184d5673a4","year":1994},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.297710Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:35d4d8bb72911644ab4ae6c7b620be21c433297beea7202223edb851ffbd5717","observation_id":"13bd6496-e9bd-447d-9f48-61f6be71641e","resolution":{"observed_at":"2026-08-14T15:36:24.521794Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.509912Z","title":"Suryanarayana, D","venue":null,"work_id":"a9f03bad-0415-4c3b-8122-2a4973aa0424","year":2016},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.300826Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:d70daa98c163f4e9b021d28d2ee6e71edd408e0c37ac99f9a17b166485e150f8","observation_id":"7493de75-b7fe-4ea0-b611-029d848544f3","resolution":{"observed_at":"2026-08-14T15:36:24.512909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.500733Z","title":"Suzuki, G","venue":null,"work_id":"7e308146-3aa4-494f-89d8-d67da9fc2125","year":2019},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.304148Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:89699623932bb5c0d26129149e97820a4689e00927263acab7e2cdf49e816a3f","observation_id":"608a149c-7785-4520-94b4-f8c36d95bcd6","resolution":{"observed_at":"2026-08-14T15:36:24.503924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.492483Z","title":"Suzuki, D","venue":null,"work_id":"bfd838cd-67eb-4ebc-b6a1-47a53833e6f0","year":2018},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.307075Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:4f6cd085c25ce7b3662766f43553c2695cb4de57f6ad826f3ee3bee4be9e304e","observation_id":"38ed99a5-3995-41aa-b3d3-5631425d691f","resolution":{"observed_at":"2026-08-14T15:36:24.495369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.482928Z","title":"Volkmer, sparseFFTr1l software library, https://w ww-user.tu-chemnitz.de/∼tovo/software.php.en","venue":null,"work_id":"c8014b9f-fc79-4556-9c92-67d2a5c1be5f","year":null},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.310057Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:db33a3250773eefe4ff4e3fe448347ba75ca092c3984c9e6ef4c0c5815c5ced4","observation_id":"205a9327-f18b-40f9-8e31-b4218a43288f","resolution":{"observed_at":"2026-08-14T15:36:24.486527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.474292Z","title":null,"venue":null,"work_id":"38c8fda4-bdb8-4676-a1f2-a9df128ccaf0","year":1999},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.313475Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:000a670e4b23af7c819fb88cb3db114d3d75d0337d5d083d0692aa2d6584256c","observation_id":"832022d3-349e-4dea-90c0-8bc7719c3922","resolution":{"observed_at":"2026-08-14T15:36:24.477342Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.465265Z","title":null,"venue":null,"work_id":"94b5a066-f872-4788-bc9a-7a9608545ebf","year":2001},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.316572Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:ca82931f10f268ef331568cbc76be9e2c6fa1536325327f80d78826a4cb92449","observation_id":"9fbe5ac9-051e-4460-8417-0def97bc3088","resolution":{"observed_at":"2026-08-14T15:36:24.468651Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.456278Z","title":null,"venue":null,"work_id":"e0e6d94f-0e9e-4b82-9cae-9a08526396cf","year":2004},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.319645Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:ce3437670b77748161a90b44762bb590cfef40ac18b5946e9e15833d11b94483","observation_id":"90a268b5-d4a7-474a-93ea-4da7ea5529d0","resolution":{"observed_at":"2026-08-14T15:36:24.459294Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:36:24.347744Z","title":null,"venue":null,"work_id":"c1473416-edac-4932-b07f-94ccbd07c662","year":2009},"citing_paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T15:36:24.322844Z"},"links":{"citing_paper":"/paper/1908.01178"},"observation_digest":"sha256:2b8e14715a0afed75c417e915cff6d84daef50943c567478b46cec798ecc852b","observation_id":"084dc493-f9bc-4b5f-a081-b429f2ae9fbf","resolution":{"observed_at":"2026-08-14T15:36:24.449763Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.01178","last_updated":"2020-08-10T16:27:22Z","latest_version":4,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T09:54:24.911861Z","submitted_at":"2019-08-03T13:51:37Z","title":"Function integration, reconstruction and approximation using rank-1 lattices"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":22},"total_outbound_references":36},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1908.01178."}