{"as_of":"2026-08-17T02:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b11cc7a63f5b66738af865dff2eb7ec65b2cb2f8de120c40e02d739c0463d2a6","coverage":[{"denominator":99,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":99,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:36:38.672201Z","state":"measured"},{"denominator":99,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":99,"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/2608.06687/citation-record","integrity":"/paper/2608.06687/integrity","json":"/paper/2608.06687/citation-record.json","paper":"/paper/2608.06687"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.291323Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.291323Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:96222b76f27af4173005f270aef858503df93f77a949083f8e697762e4591681","observation_id":"cce389ea-5302-464f-b466-aae1c219f8cc","resolution":{"observed_at":"2026-08-10T22:36:38.291323Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.296128Z","title":"Arcang´ eli, M","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.296128Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:7df9ded3ea9ffe20d0e7df2479a602dc5beb31226db2d3cdc23d2c348beb03a2","observation_id":"35aa22d9-3d0a-479c-9813-9c32316bc7e0","resolution":{"observed_at":"2026-08-10T22:36:38.296128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.300322Z","title":"Arcang´ eli and J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.300322Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:0a1bf5b9a7f75163b068fe346ac9654e0f113ea8b16f75588287c71f7c8d403c","observation_id":"2b2e169b-c0c8-4b72-a22f-8248297bc445","resolution":{"observed_at":"2026-08-10T22:36:38.300322Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.304858Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.304858Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:d7d69de406ac3c7587a36bd64de273b8fcefbcf2c3199962a36f3faf4c77c8c3","observation_id":"c14400e0-763d-4d9f-a39d-0f867dba634d","resolution":{"observed_at":"2026-08-10T22:36:38.304858Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.308896Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.308896Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:bce9298f4342f170e5bafc73945cb4a73c6dfd804a3a60dd049b4bf74ebd837b","observation_id":"bcfe130a-099d-4b8b-b035-f2c2af6547c5","resolution":{"observed_at":"2026-08-10T22:36:38.308896Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.312745Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.312745Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:1a96fe56694edc2b2e82a7078627344bda03e4e65b6d1573bfdbfa022b8d3e81","observation_id":"c21f7583-ff0f-41e5-a228-b62cb7eba63e","resolution":{"observed_at":"2026-08-10T22:36:38.312745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.316932Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.316932Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:19fbbc39a5c7b71cc21ff3e24d7ad8d650c8a516077c36d53e5f29c700904b08","observation_id":"3750e2ba-20c2-4262-893e-cad68fded1b9","resolution":{"observed_at":"2026-08-10T22:36:38.316932Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.320501Z","title":"Bernstein, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.320501Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:807b4a9d6c9b40c1e881aed32d2996ed1fc4190dff2e4953e6153dfd3a0834d1","observation_id":"180b1e56-456d-474d-8c51-93a5653d5ede","resolution":{"observed_at":"2026-08-10T22:36:38.320501Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.324271Z","title":null,"venue":null,"work_id":null,"year":1912},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.324271Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:f3709c5e1a37e72d7eb5ba7654a26c7aae202eb558e141b7f6ec3bb0bcdcb7fc","observation_id":"f50d6190-91a6-4668-91c0-9382268a7376","resolution":{"observed_at":"2026-08-10T22:36:38.324271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.328301Z","title":"Bondarenko, D","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.328301Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:666caac0060a9914029213d34e01b43d1d7e75de81a205201db7cb9856443f7f","observation_id":"f505bfaa-8b89-49e2-aec4-af1c10081c7b","resolution":{"observed_at":"2026-08-10T22:36:38.328301Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.332495Z","title":"Bourgain and J","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.332495Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:a4b07529b80ae774586898bd3cef04975f0f59b7ff76f30f4d7a82c2b30f788a","observation_id":"22a5af0d-e29f-4a05-895f-e8634dfb4706","resolution":{"observed_at":"2026-08-10T22:36:38.332495Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.336664Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.336664Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:ca3c1dfc0d38f5ff6149577377565e68f33018453f8a2ef5be48796f3372e7d3","observation_id":"cb90aa2d-b239-4c6b-aebe-1595e13863fa","resolution":{"observed_at":"2026-08-10T22:36:38.336664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.340532Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.340532Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:210598ca24eafa7b6f05f9ae36b693c4d121066cb2f2d8bfaaf4ce664b722436","observation_id":"68578781-2408-4b54-bf62-53634eae3e67","resolution":{"observed_at":"2026-08-10T22:36:38.340532Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.344270Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.344270Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:ab0af18933fd2e43bbbae0ca0aac5aaec1b95c095b0aacaab20ce7da4d9996df","observation_id":"3edb0253-0424-4e5b-bf88-74132cd171b7","resolution":{"observed_at":"2026-08-10T22:36:38.344270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.348329Z","title":"Chkifa, A","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.348329Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:22a87d05db919da31e228457598f554362a24980819c8e5ba190426e1c856914","observation_id":"a8c782d2-4c34-470b-bdf6-a125300603de","resolution":{"observed_at":"2026-08-10T22:36:38.348329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.352503Z","title":"Cohen and G","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.352503Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:1ac36c2fa0cdb07e3d2447f8316e1b0de317676d0447449c675369082e71fe9b","observation_id":"65fe630e-3d3c-4bca-9b8d-b27d7ba3e8eb","resolution":{"observed_at":"2026-08-10T22:36:38.352503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.356392Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.356392Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:da7604e349e3b4db8fe08a9b488c49ea465f0c2b9389fc8452a7471eea58cdae","observation_id":"fb5b4cf4-ef39-4cff-9e47-82e8a171817d","resolution":{"observed_at":"2026-08-10T22:36:38.356392Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.07335","last_updated":"2024-08-23T09:41:05Z","snapshot_observed_at":"2026-08-16T14:10:43.215849Z","submitted_at":"2024-03-12T05:38:21Z","title":"Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton","version":3},"cited_work":{"arxiv_id":"2403.07335","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.07335","snapshot_observed_at":"2026-08-10T22:36:38.857854Z","title":"Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton","venue":"hep-th","work_id":"452b39a2-6fd6-4ae1-9d57-520dbc8c4835","year":2024},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.360554Z"},"links":{"cited_paper":"/paper/2403.07335","citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:6c076798cce86a1746b9308b0deb5c3a325b5419adc25aa0eb0fc8e3b7c4a6d4","observation_id":"ae1f13ae-77f4-4ec2-8cce-636a12b13857","resolution":{"observed_at":"2026-08-10T22:36:38.862152Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.365355Z","title":"Dai and Y","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.365355Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:82e9a4e83b74ce8832f36c5e8deb914c82894f60758a0f77c157ec92d96821c7","observation_id":"aeca0416-20ee-43f9-88eb-04003f82eaa7","resolution":{"observed_at":"2026-08-10T22:36:38.365355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.369457Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.369457Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:32f6756a2fc0adde7c321c4ea4574b217355a5ee94e0d8ddfb63394950db2236","observation_id":"a700ea51-0c54-4b7a-a039-9816898c318b","resolution":{"observed_at":"2026-08-10T22:36:38.369457Z","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":"2026-08-10T22:36:39.685414Z","title":"Defferrard, N","venue":null,"work_id":"8a979580-07ca-42e2-8cad-1186fe29d020","year":2019},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.373093Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:41a72a3fa9fb267b27fafc64cea6044da1bacf307ecdf6ac7671c32fb46acea4","observation_id":"7884b3c7-d5d9-4204-bab6-4a169b75bc94","resolution":{"observed_at":"2026-08-10T22:36:39.689492Z","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":"2026-08-10T22:36:39.675174Z","title":null,"venue":null,"work_id":"6b29e713-94f4-4035-b54a-a8b77206dec4","year":1989},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.376875Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:06a0975ebfea792b167e383d14252c1bd9e395d47b13d96b84388b23e9a7bd6b","observation_id":"f001f7ff-2ab4-4a1a-b452-295116b6c987","resolution":{"observed_at":"2026-08-10T22:36:39.678542Z","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":"2026-08-10T22:36:39.664236Z","title":null,"venue":null,"work_id":"1eff3f9d-29c6-46e4-86cc-7246b370d1b5","year":1996},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.381630Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:2864c4e696bf1833b7ee4aff4b0b632ab621b7244d4612dd4a52b413e172cb3c","observation_id":"ee099883-c1b7-4d6e-9576-e55a49e16101","resolution":{"observed_at":"2026-08-10T22:36:39.667967Z","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":"2026-08-10T22:36:39.653614Z","title":null,"venue":null,"work_id":"63d2ce93-041f-4183-917f-23fc396565e8","year":2019},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.385550Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:b5e66ae428f56f35aa2c6c245ca36299423f40a88c143246bcc99b09ddb334ea","observation_id":"2422bac6-faeb-45be-b332-851081746201","resolution":{"observed_at":"2026-08-10T22:36:39.657326Z","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":"2026-08-10T22:36:39.642221Z","title":null,"venue":null,"work_id":"2d7ed2b1-dfe0-4c62-b60e-515e6ce80444","year":2022},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.389574Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:eaf692fe427954f8a551c4be09ba2d04e7fe39ebd96359886f08e1bac4c38a0d","observation_id":"e694ecda-dfa4-4c7b-9d0e-3afc9607230d","resolution":{"observed_at":"2026-08-10T22:36:39.646512Z","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":"2026-08-10T22:36:39.631701Z","title":null,"venue":null,"work_id":"22f2143a-81a8-4c8a-9d4d-0f5e32106347","year":2022},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.393559Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:00d5f69abf52ca28b47cbaec3325b2884616cbad3901e6b71a7942bcb73cae02","observation_id":"c50abaf5-bcc7-47a5-9f6f-f04085594ee8","resolution":{"observed_at":"2026-08-10T22:36:39.635438Z","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":"2026-08-10T22:36:39.620506Z","title":null,"venue":null,"work_id":"00566781-834f-4cc9-ab8c-635ef96d16a8","year":2019},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.398097Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:6a3480c534d87dacb94e7e50555a5cf8d8ed7219738f7cc2d9bf991d4e2fc47c","observation_id":"08462ad5-f0cb-422e-8af3-fc8a4d126678","resolution":{"observed_at":"2026-08-10T22:36:39.624498Z","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":"2026-08-10T22:36:39.609923Z","title":"El Alaoui and M","venue":null,"work_id":"902c6f3c-b651-4eb9-a277-82fed3d917a0","year":2015},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.402151Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:8a5a87fa1a10ae0590344dc9a7469657bba6fb3e160fde328854e7c8720666c7","observation_id":"43289a36-24ba-4fca-bc54-6455f195ac19","resolution":{"observed_at":"2026-08-10T22:36:39.613787Z","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":"2026-08-10T22:36:39.599081Z","title":null,"venue":null,"work_id":"40622b03-caf5-43f4-89c9-812c3448fb9d","year":2020},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.405719Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:3bfb8b29b7613d202b94562f9c1797a4e86b80868579561b65a31fcc91c7ec18","observation_id":"d59c5e17-36bc-4b9a-b69e-df2ff866f251","resolution":{"observed_at":"2026-08-10T22:36:39.602845Z","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":"2026-08-10T22:36:39.587702Z","title":null,"venue":null,"work_id":"eae73648-d836-4132-b0ff-6b25323f06e0","year":1903},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.410048Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:0a85d7b58eae39f5cbf7fa0e204ac64469f3f5f0f41a330260abc59356c654e5","observation_id":"7db322ff-e48d-4d22-8603-4c058d42ca41","resolution":{"observed_at":"2026-08-10T22:36:39.591331Z","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":"2026-08-10T22:36:39.577534Z","title":null,"venue":null,"work_id":"be1cd752-0869-4e89-bf5e-eabe545e1c52","year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.414228Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:7cfb0e30b4fdc0ddb6292fff4eb0dbc0b07fec3203f718e2b2351c9a6a9528f3","observation_id":"24e5ac07-2ec0-4155-a8af-cc0c95aa5666","resolution":{"observed_at":"2026-08-10T22:36:39.580957Z","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":"2026-08-10T22:36:39.567819Z","title":"Filbir and H","venue":null,"work_id":"04688dc1-38b2-4c72-be6b-e7a25d924f46","year":2011},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.418030Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:8874b0060afedb1ba4d4e960338c84731841ce6404099b6b99db56e6e727832d","observation_id":"44a6793e-b709-4f6e-8219-ed33f8ad857d","resolution":{"observed_at":"2026-08-10T22:36:39.571175Z","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":"2026-08-10T22:36:39.557375Z","title":null,"venue":null,"work_id":"34f8324d-3042-4168-86af-4dec7657a6c2","year":null},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.421770Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:fdfe783baa363a2bad27abb975c77b8c751fd5cdc0a63c46de4cfc7a773db6bc","observation_id":"24ededca-d835-49be-8d91-b647bd905279","resolution":{"observed_at":"2026-08-10T22:36:39.560974Z","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":"2026-08-10T22:36:39.547459Z","title":null,"venue":null,"work_id":"81421ef4-14a3-432e-8c68-5d51f02eb724","year":2008},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.425523Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:5e0b213c05bd297db9e6abef434cbf136d76a3c1b6ec1b9aa02750087adfb944","observation_id":"9112e31c-0967-4701-ba52-2f9a3424b5e4","resolution":{"observed_at":"2026-08-10T22:36:39.550812Z","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":"2026-08-10T22:36:39.536811Z","title":"Guo and D.-X","venue":null,"work_id":"f47f4b58-fade-4290-9ccc-08206b54e993","year":2020},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.429317Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:9a56d555158979f878ef509fa2cebc7e4488bf95581fc8077ef59f50646966fe","observation_id":"56524914-8a03-4814-9e1f-50cea3be08dd","resolution":{"observed_at":"2026-08-10T22:36:39.540729Z","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":"2026-08-10T22:36:39.526544Z","title":"Hangelbroek, F","venue":null,"work_id":"9cfc0c12-6472-4293-8046-71acad99d6ef","year":1949},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.433753Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:8f75895903ef58271be9977a11c0a4e4a99b13926e9b1fa7f1d89ddfd3a342aa","observation_id":"6765e6e9-50c6-4cd0-a8e2-9969d023fc68","resolution":{"observed_at":"2026-08-10T22:36:39.530246Z","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":"2026-08-10T22:36:39.515619Z","title":null,"venue":null,"work_id":"acebfd0c-8a58-4ca5-b0d6-de4ba4d9e1d1","year":2014},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.437931Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:45f82fb9a855e5d1d5e84e2475553e9f1485e4bffd6446ed0aa9e028973f84b6","observation_id":"9463cc75-9e50-4f8b-980f-4a64e9221611","resolution":{"observed_at":"2026-08-10T22:36:39.519480Z","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":"2026-08-10T22:36:39.504261Z","title":"Huang, Q.-Y","venue":null,"work_id":"c654f58f-2209-4dec-95a4-db155c7f6c5b","year":2006},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.442263Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:7cf58909286f8101338aefeb8974b5ca8a18323176dfca517022665081b8ee49","observation_id":"7b05c40e-129b-47a2-8929-fd59f8f0e3e0","resolution":{"observed_at":"2026-08-10T22:36:39.508066Z","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":"2026-08-10T22:36:39.492989Z","title":"Huang, J","venue":null,"work_id":"2b36be6e-5198-435a-9174-c6e3ad7c1ef9","year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.445941Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:5d21b8b5a36afc0ff3d19abee2fc75fa9e237bfb154588cb407b2a258529e362","observation_id":"18020a84-4338-4c58-b204-9569ddf75347","resolution":{"observed_at":"2026-08-10T22:36:39.496912Z","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":"2026-08-10T22:36:39.482337Z","title":"Ivanov, P","venue":null,"work_id":"68d852dd-dd00-4c94-9da9-97eaea4bf47f","year":2010},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.449566Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:284281a31d850e8e34655b3ef62ae1f4d0e3572fa857e7c8e25024b1ecda3afa","observation_id":"c4e0ad3c-fc9c-4074-aa08-fb6b783995c7","resolution":{"observed_at":"2026-08-10T22:36:39.485872Z","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":"2026-08-10T22:36:39.471786Z","title":"Jiang, J","venue":null,"work_id":"09b33934-86d2-46d0-9002-1663f9dab019","year":2019},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.453471Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:7f119b96fb7287f5590866a165ee75ce2d1669519b85142b1cc6adbe7a4b7cac","observation_id":"0a27d34f-d2a9-4286-be48-44e9537a43a2","resolution":{"observed_at":"2026-08-10T22:36:39.475299Z","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":"2026-08-10T22:36:39.460436Z","title":null,"venue":null,"work_id":"025fe8a3-538b-4c80-8539-f21804951edb","year":1992},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.457313Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:04204490f17688b0f13528b54618896d8d4664bfe1b4a1655ab9b44c1d0221cc","observation_id":"1e2eab28-72ef-4fc5-a33a-82fa5db528da","resolution":{"observed_at":"2026-08-10T22:36:39.464790Z","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":"2026-08-10T22:36:39.449123Z","title":null,"venue":null,"work_id":"65f05c01-9fc4-49f2-bde8-b71a9e59d3da","year":2018},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.461460Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:e99a28a11c5062459e63e5abbe9903e36d67078c1d2f764bf19c8b0add185787","observation_id":"fc3347db-5a16-4581-aa84-a20970bf9314","resolution":{"observed_at":"2026-08-10T22:36:39.453192Z","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":"2026-08-10T22:36:39.437954Z","title":"K ˚ urkov´ a and M","venue":null,"work_id":"4f48436e-b134-4b06-9af8-ad7bf744ddc2","year":2001},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.465524Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:0e599e520af4b6cd420c22fb7d02036a58868639435b3da277dcca071c9b2fee","observation_id":"b9720dcc-71f6-4fb8-93e5-54ad49c65b10","resolution":{"observed_at":"2026-08-10T22:36:39.441663Z","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":"2026-08-10T22:36:39.426687Z","title":"K ˚ urkov´ a and M","venue":null,"work_id":"b43d411e-3f9b-40b3-8de5-8ad1362e6487","year":2002},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.469497Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:f091dbc54f69a3443900e31ce0924b0b486d716492d9c92390156cc1d5906f5b","observation_id":"4b08f905-70c5-4785-902a-4dc451d17a70","resolution":{"observed_at":"2026-08-10T22:36:39.430486Z","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":"2026-08-10T22:36:39.414529Z","title":null,"venue":null,"work_id":"b220c576-86d7-4183-997e-d1eca9a99fe6","year":2009},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.472929Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:ebcb6c4e2bcd67290e15e486e3e5a7189d164c6628603aacfb365bb0bd5f4551","observation_id":"462aa5f9-07a4-45d8-a866-5d69af35d4e4","resolution":{"observed_at":"2026-08-10T22:36:39.418402Z","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":"2026-08-10T22:36:39.403183Z","title":"Lewicki and G","venue":null,"work_id":"a6fe54c0-c1a8-4320-89df-9a36377a898d","year":2004},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.476475Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:0da57fcd1c49f9cdf6bf8d48f87aeee751d81bf336752b93078c1cef1e49ce97","observation_id":"141a3749-a968-40f5-90ab-9875793e88e4","resolution":{"observed_at":"2026-08-10T22:36:39.406808Z","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":"2026-08-10T22:36:39.391566Z","title":"Liao and P","venue":null,"work_id":"99a7fb2a-8ac7-4651-8194-d3ad8c5a6c95","year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.480426Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:b9d9c298459942ac907058cf39bd9f20c74e132edfde01a23a35a00de7193c1f","observation_id":"d99ff082-073c-4ff2-abf1-204e9cdb07ee","resolution":{"observed_at":"2026-08-10T22:36:39.395424Z","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":{"arxiv_id":"2505.00351","last_updated":"2025-05-12T07:42:42Z","snapshot_observed_at":"2026-08-16T04:42:19.583536Z","submitted_at":"2025-05-01T06:50:41Z","title":"Integral Representations of Sobolev Spaces via ReLU$^k$ Activation Function and Optimal Error Estimates for Linearized Networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.00351","snapshot_observed_at":"2026-08-10T22:36:38.483855Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.483855Z"},"links":{"cited_paper":"/paper/2505.00351","citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:805f572db469361c3bf0b18b47bafedb7407815166dc3fab4162d8fcaf0132e1","observation_id":"7bbd1dcd-6000-40cc-a7e6-51bd5e5231d2","resolution":{"observed_at":"2026-08-10T22:36:38.483855Z","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":"2026-08-10T22:36:39.379724Z","title":"Maggioni and H","venue":null,"work_id":"4ca9c6e2-3022-475d-9bf4-cc102fedee50","year":2008},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.487823Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:9c5f6aefe43180c56ff11e3221e03048a6f26d8b10d20b234434b4d56d6221fd","observation_id":"be19996a-b865-4662-81c8-43d57a551800","resolution":{"observed_at":"2026-08-10T22:36:39.383470Z","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":{"arxiv_id":"2303.11617","last_updated":"2024-01-02T07:21:24Z","snapshot_observed_at":"2026-08-16T15:46:39.418506Z","submitted_at":"2023-03-21T06:26:19Z","title":"Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks","version":3},"cited_work":{"arxiv_id":"2303.11617","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.11617","snapshot_observed_at":"2026-08-10T22:36:38.830637Z","title":"Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks","venue":"math.NA","work_id":"e7942b16-7b62-45ea-a915-1894eb391c05","year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.491444Z"},"links":{"cited_paper":"/paper/2303.11617","citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:fd68a295ba8826c5bd1f49d560024a5a5789fa9eb27932d129ec681606b85871","observation_id":"7403069f-3377-43ed-abf9-e29580e81a8f","resolution":{"observed_at":"2026-08-10T22:36:38.836295Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-10T22:36:39.368380Z","title":null,"venue":null,"work_id":"2170705c-2d5b-464d-b47e-7b86c25ca8cf","year":2006},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.495900Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:842d37c25da1d8a2e47ee99e77898084fe256c140353add7a7a1914388ad04ff","observation_id":"92111a32-456c-43ff-a52c-50564a8099da","resolution":{"observed_at":"2026-08-10T22:36:39.372248Z","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":"2026-08-10T22:36:39.356495Z","title":null,"venue":null,"work_id":"820fdf78-473a-4a6c-8f95-d81799dd706b","year":1996},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.499244Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:c83969b87feaa1978247fcaa93cec10b67867cf176888f544bc45a67a1b5f0b7","observation_id":"01d23bb9-88fd-46f7-be8b-c2257b86ad77","resolution":{"observed_at":"2026-08-10T22:36:39.360783Z","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":"2026-08-10T22:36:39.345466Z","title":null,"venue":null,"work_id":"76a98230-d16c-406c-8a11-69ca2eaafdd7","year":1998},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.502778Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:efb99422cba3881d32010ebe86aecbffce5669573c22b4983654b1cb3b7639b5","observation_id":"65697a42-b9fd-48b5-ae34-7d5f51d36b36","resolution":{"observed_at":"2026-08-10T22:36:39.349205Z","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":"2408.10996","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.812958Z","title":null,"venue":null,"work_id":"0c4cb73b-7c4a-4044-b49a-1e339f976d39","year":2024},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.506111Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:e1698b173f7d5b2b9a2154a905354e8070d075e83d3b2ebc26680df43178642a","observation_id":"2a7f5b15-b922-46da-916a-c6d944dfd061","resolution":{"observed_at":"2026-08-10T22:36:38.818715Z","resolver_source":"raw_fallback","status":"verified_exact"},"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":"2026-08-10T22:36:39.334658Z","title":null,"venue":null,"work_id":"ff6027d2-ad9d-4aff-ab42-2cc5a2982bdb","year":2007},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.509886Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:b8120a1d9908d28fcb790c577dacafa5ab62c07c2e89b22312073ac9cade7bb0","observation_id":"d942ac85-5e54-4a4f-9b5a-1588bdc6f957","resolution":{"observed_at":"2026-08-10T22:36:39.338340Z","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":"2026-08-10T22:36:39.323002Z","title":null,"venue":null,"work_id":"fffb4376-8053-493b-ba10-2de1bc320cb3","year":1973},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.513650Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:db9f95380ed5cb2fc7443d719fdb158057786272872f1947f61c44d1abe5cc4a","observation_id":"17881a55-ccdf-4ba4-9df3-dfab340b6179","resolution":{"observed_at":"2026-08-10T22:36:39.326901Z","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":{"arxiv_id":"2308.03230","last_updated":"2023-12-10T19:07:35Z","snapshot_observed_at":"2026-08-16T15:10:26.134209Z","submitted_at":"2023-08-07T00:14:46Z","title":"Tractability of approximation by general shallow networks","version":2},"cited_work":{"arxiv_id":"2308.03230","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.03230","snapshot_observed_at":"2026-08-10T22:36:38.727151Z","title":"Tractability of approximation by general shallow networks","venue":"cs.LG","work_id":"a3d06970-f9af-4184-9f12-8e65f02f59b6","year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.517453Z"},"links":{"cited_paper":"/paper/2308.03230","citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:4a9ef02ac987833720ae59c3d64be14d7966dff21da012f1a2860098e453b92b","observation_id":"b6b610fc-6df5-4980-abd9-536509b1e619","resolution":{"observed_at":"2026-08-10T22:36:38.733472Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-10T22:36:39.310655Z","title":"Mhaskar, F","venue":null,"work_id":"fe0ba438-6875-48f7-a86b-cb7de3301c4d","year":2001},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.521550Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:14dd3ca35c782b4630c5057b2fdd2814357fd103ea00152fa8c0bacf9c3bbae2","observation_id":"1922d399-9e32-4fc2-b4d1-ff4d510929df","resolution":{"observed_at":"2026-08-10T22:36:39.314738Z","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":"2026-08-10T22:36:39.298220Z","title":null,"venue":null,"work_id":"9981c2b0-bf1c-416b-ac7b-0164f8fe065a","year":1993},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.525357Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:b9aa9a64a79d40a6e8f78c2cab6916fec4ceaa00cc72da6bc6e1380b37e007d1","observation_id":"df2b9798-2d12-4614-92d6-ebfb934821e5","resolution":{"observed_at":"2026-08-10T22:36:39.302570Z","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":"2026-08-10T22:36:39.286233Z","title":null,"venue":null,"work_id":"ca6f2374-c5a0-4dc4-b9e6-ea960762c2e2","year":2004},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.529088Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:5ee9da4b7aa4d7813ab4671942415c009c08325133f816acf2db99310678a792","observation_id":"3ae4cce2-07cb-4dbb-ab1b-2a5ab3d28f9d","resolution":{"observed_at":"2026-08-10T22:36:39.290228Z","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":"2026-08-10T22:36:39.274302Z","title":null,"venue":null,"work_id":"66ed051f-67fa-4dc7-bed4-0b87af1f6cb0","year":2005},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.532984Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:2e9b38257b898b63e1accb48424137634dc840a7105bc536de834ff220abd8b6","observation_id":"3672963f-ef5c-4ddc-a7d5-daed8c5e4f9f","resolution":{"observed_at":"2026-08-10T22:36:39.278621Z","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":"2026-08-10T22:36:39.261839Z","title":null,"venue":null,"work_id":"9eff5b21-634f-44eb-93f2-60f04abd78e2","year":2006},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.536768Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:42ab49b27d4c4d3ad03ca0fd255151a31c84d1aa719b4e294dcd4bc136dee84f","observation_id":"d46204f2-f6f2-473e-be73-2f519174af27","resolution":{"observed_at":"2026-08-10T22:36:39.265959Z","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":"2026-08-10T22:36:39.250102Z","title":null,"venue":null,"work_id":"b3361063-e9a8-4d4c-96e2-7ebc013f3c13","year":2017},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.540477Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:77f6d099c038dae69428cff20e5fec6ac3ed58dc10ff65f97089e9426ee3f6ef","observation_id":"61f47f89-642c-4bea-9d60-9778cf773b18","resolution":{"observed_at":"2026-08-10T22:36:39.254204Z","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":"2026-08-10T22:36:39.237981Z","title":null,"venue":null,"work_id":"7b09317b-805e-4db4-b8f9-075b97c1c217","year":2018},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.544578Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:500e0ef78ef8bf1ab7ab433328ae8da5ed16c1fc1472a00b2e5c11a544231edb","observation_id":"8c8484c8-3b4a-47b0-976f-a34a6fc4093a","resolution":{"observed_at":"2026-08-10T22:36:39.241994Z","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":"2026-08-10T22:36:39.225345Z","title":null,"venue":null,"work_id":"8eee459d-0d78-496f-8a37-bdf4a0a73c4e","year":2019},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.548363Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:2b432746f451fa332dd318bf1815d9100c9632eb6a4d90f3b8421ff4558de4d8","observation_id":"187ec2d1-5465-451a-abdc-19afe9e483ec","resolution":{"observed_at":"2026-08-10T22:36:39.229222Z","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":"2026-08-10T22:36:39.213866Z","title":null,"venue":null,"work_id":"4b99c236-bd43-4dda-bd55-7927524380e3","year":2020},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.551965Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:6c4d0417c2ccee6110e08f90ba618ffb14760dd4fbd2d3cce494209307dac3f2","observation_id":"4325b1e1-56f5-41d1-b296-d437655a0e47","resolution":{"observed_at":"2026-08-10T22:36:39.217729Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.555836Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.555836Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:2b542ef7c24c48342d1118249d3ba401638f2d614ceaf90705eaedbf6093e3da","observation_id":"f9276376-73fa-46e0-bb83-4cfb2abba564","resolution":{"observed_at":"2026-08-10T22:36:38.555836Z","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":"2026-08-10T22:36:39.193228Z","title":null,"venue":null,"work_id":"7a624713-26fc-4730-90a2-29a606eda2ff","year":2005},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.559410Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:6d1d8e4c993490b62cb17d46e087a841b8d90feaed4c33754c9bf77a34d20ad2","observation_id":"650a0bbc-ddce-443b-8ee5-8980365e0978","resolution":{"observed_at":"2026-08-10T22:36:39.197112Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.563148Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.563148Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:87c6e12a432914bb1f18ca63db4912c72c8fcfd29a524028ba9ed15f2b2260b2","observation_id":"6800a130-6287-44f8-9fc8-911cffcc2d82","resolution":{"observed_at":"2026-08-10T22:36:38.563148Z","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":"2026-08-10T22:36:39.172852Z","title":null,"venue":null,"work_id":"2a29e0f2-4e8e-4e4d-a6ec-9be16690938f","year":1975},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.567118Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:50661effd98a1fb5f3ae124e3572291698191d83ba5be330f51bc5e92e34cd28","observation_id":"1b0b7d4b-f6fe-48f0-b1bc-084fde75e123","resolution":{"observed_at":"2026-08-10T22:36:39.177606Z","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":"2026-08-10T22:36:39.160678Z","title":"Parhi and R","venue":null,"work_id":"f17d9b48-8d5b-4323-9255-f4853e7ffaee","year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.570855Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:da1a2991e8dc03ff36a4f895635f54f89abc51e0dc88f1f8b417a1b202963338","observation_id":"26be286f-9f2d-4018-adbf-8daf18c935c0","resolution":{"observed_at":"2026-08-10T22:36:39.164673Z","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":"2026-08-10T22:36:39.148803Z","title":"Petrushev and Y","venue":null,"work_id":"cf9fd87d-fdd8-4424-969a-522d58eea1c4","year":2005},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.574598Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:137d07700499cdf695dccdb42d5b7163b3d89d35afef7c83c77ce5624d5af2d3","observation_id":"04380b53-9932-4f76-a4ea-62abaa739bba","resolution":{"observed_at":"2026-08-10T22:36:39.152725Z","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":"2026-08-10T22:36:39.136942Z","title":null,"venue":null,"work_id":"66931f4b-69c1-48a7-ac44-a8e479c87dde","year":1998},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.578269Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:b1604bea6d3bf95ea21da0c2d61471fca2bae8f496619c6b454bad5a05375918","observation_id":"bb337014-9164-4c34-b451-a3de10fa22d4","resolution":{"observed_at":"2026-08-10T22:36:39.140659Z","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":"2026-08-10T22:36:39.125023Z","title":null,"venue":null,"work_id":"97fc5aa3-4467-435e-8f8b-1f7579bc14e5","year":1999},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.581850Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:eb6979593084a405a25bfdf8685554a1df702f6f98d4e4db4f29511ad1a61e18","observation_id":"9c041b6e-ec73-452c-a08d-d0a55e22b8bf","resolution":{"observed_at":"2026-08-10T22:36:39.128780Z","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":"2026-08-10T22:36:39.113376Z","title":null,"venue":null,"work_id":"1e627691-e327-4eda-a359-67ca4a4424fa","year":1981},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.585812Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:54ea13f6d0af09e659d36657ae3e0c1a8b7e4e211368363c9459f59fd5ded1cf","observation_id":"b47c4eac-31e8-4fc1-8ef8-7ed3139d72cd","resolution":{"observed_at":"2026-08-10T22:36:39.117265Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.589425Z","title":"Raissi, P","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.589425Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:d4ca3719f97ed9b7a690d5d5147f6f6137b55b5138bbf2dafd7639070c0980b3","observation_id":"fb106ca6-3214-49d5-95da-47724ce59542","resolution":{"observed_at":"2026-08-10T22:36:38.589425Z","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":"2026-08-10T22:36:39.095205Z","title":null,"venue":null,"work_id":"b77c49a8-1112-43ea-96f6-720f11b4671f","year":2022},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.593416Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:906062994eecebe31c3fee56ad304b1ba60214f6f714848125aa0e478b97ed18","observation_id":"9702cf4f-aa20-46ca-bfc3-62e920900542","resolution":{"observed_at":"2026-08-10T22:36:39.099093Z","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":"2026-08-10T22:36:39.083857Z","title":"Rudi and L","venue":null,"work_id":"9d4a5f3a-8fe0-4d93-a08a-56bdf1734cba","year":2017},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.597356Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:b15e951b2dda1a060f0d7f7ed1552c4fb6892d206a58b20b45da36de50dc4bad","observation_id":"4c74d6ed-c89f-4840-b005-e7f481c60734","resolution":{"observed_at":"2026-08-10T22:36:39.087711Z","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":"2026-08-10T22:36:39.072651Z","title":"Schneider","venue":null,"work_id":"d1322401-10b7-4894-a12a-e030105af7b8","year":1967},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.601365Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:6d75c0c29e5fa6534742c677b38e23cb3de5f34aaf1e791a87c0e2b09cd1cb9b","observation_id":"ad3145b4-ac2a-4d64-b88f-9f0b3ad4eec3","resolution":{"observed_at":"2026-08-10T22:36:39.076559Z","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":"2026-08-10T22:36:39.060598Z","title":null,"venue":null,"work_id":"4d0c85fc-1ac8-44e1-815e-692b3f751e43","year":2022},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.604833Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:cb24fbea9190102e563a367b9657953a5b63f7eac867887f013742d0c0173469","observation_id":"434614c4-498b-4235-b85b-5d5f8ac52ffc","resolution":{"observed_at":"2026-08-10T22:36:39.064430Z","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":"2026-08-10T22:36:39.048538Z","title":null,"venue":null,"work_id":"4d328bf5-274c-4eed-bee3-efb61e381eff","year":2022},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.608695Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:d58baa233121ceb3b3f47be4504b9990028d462cd3dc9991137b4bb45dc419b1","observation_id":"545aebb9-fc16-4b77-aace-82893e0c018a","resolution":{"observed_at":"2026-08-10T22:36:39.052550Z","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":"2026-08-10T22:36:39.031004Z","title":null,"venue":null,"work_id":"25108a9b-2c38-4aa9-a812-68759698e809","year":2022},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.612418Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:1ed2e0b9c5fe51dca7eef4a7047c9fba85b8293c1809fbb268f8e64a34da1e37","observation_id":"d7dc28b0-f976-4c72-9628-31820f54fe38","resolution":{"observed_at":"2026-08-10T22:36:39.035149Z","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":"2026-08-10T22:36:39.018617Z","title":null,"venue":null,"work_id":"85d40402-0bc5-45cf-9852-8caa295bb851","year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.616212Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:e6c8271ed074096a60cd64c4ef838cb56afe9035c543d569d0f2001d28ef7360","observation_id":"3b3f7001-361f-4d19-8d25-7352eaa8e23d","resolution":{"observed_at":"2026-08-10T22:36:39.022571Z","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":"2026-08-10T22:36:39.006172Z","title":null,"venue":null,"work_id":"a3f30e64-7252-40d8-9a30-be48774fb1a6","year":1970},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.619938Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:960903a6f8ae69c84cfa647d2394315869fbf59eb1c216fe936706e7023ce12e","observation_id":"e86746a8-6a42-41b6-9d00-0240dcf83f56","resolution":{"observed_at":"2026-08-10T22:36:39.010223Z","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":"2026-08-10T22:36:38.993615Z","title":null,"venue":null,"work_id":"d5cad294-57fb-4bc9-bb48-6ac4d86185be","year":1972},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.623548Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:269281a2d98099f09938da3d5ba304fa838bdd82f51c2d521055b35f8b0b4580","observation_id":"48ace99d-173d-47ed-a589-93685610f864","resolution":{"observed_at":"2026-08-10T22:36:38.997922Z","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":"2026-08-10T22:36:38.981493Z","title":"Szeg¨ o.Orthogonal polynomials, volume 23 ofAmer","venue":null,"work_id":"293415bf-aef0-4c48-8c84-6181ceededbf","year":1975},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.627196Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:febdd93c114c68e95f710e5e17e62718933f0b73c5e5da11fa94029bb88f1136","observation_id":"690fd145-a419-4205-8b41-9c019506b164","resolution":{"observed_at":"2026-08-10T22:36:38.985829Z","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":{"arxiv_id":"2501.01234","last_updated":"2025-01-02T12:49:04Z","snapshot_observed_at":"2026-08-15T02:51:55.812537Z","submitted_at":"2025-01-02T12:49:04Z","title":"Impact of QCD sum rules coupling constants on neutron stars structure","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.01234","snapshot_observed_at":"2026-08-10T22:36:38.631018Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.631018Z"},"links":{"cited_paper":"/paper/2501.01234","citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:fbf5af3ead832eae6da15ef2ba51b90c8d0c8955c4e2929891d20fbac0f720a5","observation_id":"d9091659-a279-4cd3-8126-dd2e535867e1","resolution":{"observed_at":"2026-08-10T22:36:38.631018Z","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":"2026-08-10T22:36:38.969979Z","title":null,"venue":null,"work_id":"a9837fb9-846e-4e34-82f5-4c4e6ac3b254","year":2008},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.634869Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:6e4da1d7d86870e79ef11db5d670c6b6abb3b2e212cf482888f2276e6da6b275","observation_id":"56fcdd84-b57c-407e-86a2-913a079b9f48","resolution":{"observed_at":"2026-08-10T22:36:38.973759Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:36:38.638664Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.638664Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:da5ae99fc72e7c45fe92bd25dbd0d0525704a4e295cb5aa4ff13afdf1b4e65cd","observation_id":"479a1a17-fde0-4fe5-b4c8-5ad6d9c5f222","resolution":{"observed_at":"2026-08-10T22:36:38.638664Z","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":"2026-08-10T22:36:38.951067Z","title":"Vershynin.High-Dimensional Probability: An Introduction with Applications in Data Science, volume 47 ofCambridge Series in Statistical and Probabilistic Mathe- matics","venue":null,"work_id":"41d0f4ff-c245-4f9d-b2ce-8f5d81ecfe0e","year":2018},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.642434Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:227938c6effa3c906b1b32d536645b82332be2ba42f81394fae50ce5b31d71c1","observation_id":"d5e5eef8-62dd-4f50-9739-840ef422876d","resolution":{"observed_at":"2026-08-10T22:36:38.955369Z","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":"2026-08-10T22:36:38.940037Z","title":null,"venue":null,"work_id":"522e00ca-ad49-448b-b566-a42efedb4675","year":2019},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.646243Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:9f687856bf096b33374c578320b031adef32549830a2bf263fc32b9e4432f05c","observation_id":"6c989988-5513-4476-b9b9-2041227f096a","resolution":{"observed_at":"2026-08-10T22:36:38.943617Z","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":"2026-08-10T22:36:38.929134Z","title":"Wang and X","venue":null,"work_id":"9c0891cc-c38b-4b5d-ba85-80ee09d10500","year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.650036Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:8fdeadf96141be82047864f57b78834d799157958b29d3ebcbeeac420026ab6d","observation_id":"3ce9e23e-6000-4e4a-80ab-51f624b0a420","resolution":{"observed_at":"2026-08-10T22:36:38.932820Z","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":"2026-08-10T22:36:38.917378Z","title":"Wang and S","venue":null,"work_id":"86ceca16-09ae-4a39-aa96-5887242c4091","year":2024},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.653656Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:fa0452f3025a44f9579dd1eb6a98155c8898bf8e90d565fb66e326cde01b3350","observation_id":"b1cd49cf-54c9-4246-b8cc-c9a82bb31ba8","resolution":{"observed_at":"2026-08-10T22:36:38.921414Z","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":{"arxiv_id":"2310.02116","last_updated":"2024-06-27T15:53:56Z","snapshot_observed_at":"2026-08-16T14:55:28.273789Z","submitted_at":"2023-10-03T14:57:31Z","title":"Coarse-to-Fine Concept Bottleneck Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.02116","snapshot_observed_at":"2026-08-10T22:36:38.657206Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.657206Z"},"links":{"cited_paper":"/paper/2310.02116","citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:0c5ed22c7d422022df016d3b225ce9ae9f21a62e22ccfd2350ee7e3e2445514a","observation_id":"da6e7ca9-16b9-4c56-8dbc-83d791708197","resolution":{"observed_at":"2026-08-10T22:36:38.657206Z","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":"2026-08-10T22:36:38.905222Z","title":null,"venue":null,"work_id":"4cd50127-1b79-4e09-a8b9-49372752e662","year":2020},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.661211Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:684468c9966e0a93d8e9440387213f036c989d57f2ace4242d0308ff616b1d12","observation_id":"da7db736-2594-48c8-acaa-2eaa091e1a55","resolution":{"observed_at":"2026-08-10T22:36:38.908985Z","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":"2026-08-10T22:36:38.893597Z","title":null,"venue":null,"work_id":"19be4f1a-0400-4b38-acb6-c92e289cc68b","year":2026},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.664806Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:9238a09821d9ed76792a676448d6954d97db750d6a3c5dc85358588124ea9872","observation_id":"b79553a5-2b44-4aad-b0c7-856d72dc1043","resolution":{"observed_at":"2026-08-10T22:36:38.897687Z","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":"2026-08-10T22:36:38.882025Z","title":"Yang and D.-X","venue":null,"work_id":"a2b37984-13ed-4df9-a752-22583d35ffdd","year":2024},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.668496Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:acbe3731d1aa214d73221f55435b5ce257bd49db1b6905a5303b217124226f39","observation_id":"68f306c9-89b4-430c-9474-b7f9a0cf17a4","resolution":{"observed_at":"2026-08-10T22:36:38.885760Z","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":"2026-08-10T22:36:38.870848Z","title":"Zhou and K","venue":null,"work_id":"5c4ff689-74fd-4bf4-b565-9a498577c6f5","year":2006},"citing_paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-10T22:36:38.672201Z"},"links":{"citing_paper":"/paper/2608.06687"},"observation_digest":"sha256:64830648c3f5d0dd0ec2c4c9c9629b143027ac22ff0b2cc635decd4a56ccfd26","observation_id":"2832e4e6-6745-49c2-9181-0bfe0f750efe","resolution":{"observed_at":"2026-08-10T22:36:38.874639Z","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"}}],"paper":{"arxiv_id":"2608.06687","last_updated":"2026-08-07T01:22:27Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T21:33:32.436288Z","submitted_at":"2026-08-07T01:22:27Z","title":"Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples"},"reference_resolution":{"displayed":99,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":70,"verified_exact":4,"verified_fuzzy":25},"total_outbound_references":99},"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 17 August 2026, this Paper Citation Record lists 99 of 99 outbound references and 0 inbound Pith citation observations for arXiv:2608.06687."}