{"as_of":"2026-08-16T04:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7a6c53c3c80cfc6dcf1ec7639f50bf88422f395f98968c0aaa87f3f2de4456e7","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T17:42:25.416049Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-30T00:04:06.941779Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1810.04374","last_updated":"2019-08-16T05:16:46Z","snapshot_observed_at":"2026-08-16T03:05:43.117470Z","submitted_at":"2018-10-10T04:58:45Z","title":"On the Approximation Properties of Random ReLU Features","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.04374","snapshot_observed_at":"2026-08-10T17:42:25.416049Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.12145","last_updated":"2025-01-21T13:58:33Z","snapshot_observed_at":"2026-08-13T20:08:40.914753Z","submitted_at":"2025-01-21T13:58:33Z","title":"Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T17:42:25.416049Z"},"links":{"cited_paper":"/paper/1810.04374","citing_paper":"/paper/2501.12145"},"observation_digest":"sha256:4929f5359e36698fc95129753da46e35935830b814c8d54bc8255b8ea1561278","observation_id":"1fc8a788-d0fd-4ee6-89c3-175cb6a118b0","resolution":{"observed_at":"2026-08-10T17:42:25.416049Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.04374","last_updated":"2019-08-16T05:16:46Z","snapshot_observed_at":"2026-08-16T03:05:43.117470Z","submitted_at":"2018-10-10T04:58:45Z","title":"On the Approximation Properties of Random ReLU Features","version":3},"cited_work":{"arxiv_id":"1810.04374","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1810.04374","snapshot_observed_at":"2026-06-30T00:04:06.941779Z","title":"arXiv preprint arXiv:1810.04374 , year=","venue":null,"work_id":"42d609f3-46c8-411c-856c-2d496724f3d8","year":2018},"citing_paper":{"arxiv_id":"2604.22208","last_updated":"2026-04-24T04:25:26Z","snapshot_observed_at":"2026-08-11T16:26:54.292130Z","submitted_at":"2026-04-24T04:25:26Z","title":"Finite Expression Method with TranNet-based Function Learning for High-Dimensional Partial Differential Equations","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-08T10:52:56.423871Z"},"links":{"cited_paper":"/paper/1810.04374","citing_paper":"/paper/2604.22208"},"observation_digest":"sha256:60af372b0f38b1f29a0f67f283124ffe161b19750ab39524eb1281923e966e39","observation_id":"eb5e9eb8-f7b2-4e09-9606-cc786d5dc77a","resolution":{"observed_at":"2026-05-11T19:51:11.200322Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.04374","last_updated":"2019-08-16T05:16:46Z","snapshot_observed_at":"2026-08-16T03:05:43.117470Z","submitted_at":"2018-10-10T04:58:45Z","title":"On the Approximation Properties of Random ReLU Features","version":3},"cited_work":{"arxiv_id":"1810.04374","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1810.04374","snapshot_observed_at":"2026-06-30T00:04:06.941779Z","title":"arXiv preprint arXiv:1810.04374 , year=","venue":null,"work_id":"42d609f3-46c8-411c-856c-2d496724f3d8","year":2018},"citing_paper":{"arxiv_id":"2605.06519","last_updated":"2026-05-07T16:27:12Z","snapshot_observed_at":"2026-07-06T23:19:00.794334Z","submitted_at":"2026-05-07T16:27:12Z","title":"Efficient Techniques for Data Reconstruction, with Finite-Width Recovery Guarantees","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-08T12:35:14.766807Z"},"links":{"cited_paper":"/paper/1810.04374","citing_paper":"/paper/2605.06519"},"observation_digest":"sha256:e0a5958ceb998230173022b3632c5195a769a5fde0c86db5df014463514cb208","observation_id":"fee80405-e874-4249-af0e-0eb80761a0fd","resolution":{"observed_at":"2026-05-11T19:06:11.475620Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.04374","last_updated":"2019-08-16T05:16:46Z","snapshot_observed_at":"2026-08-16T03:05:43.117470Z","submitted_at":"2018-10-10T04:58:45Z","title":"On the Approximation Properties of Random ReLU Features","version":3},"cited_work":{"arxiv_id":"1810.04374","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1810.04374","snapshot_observed_at":"2026-06-30T00:04:06.941779Z","title":"arXiv preprint arXiv:1810.04374 , year=","venue":null,"work_id":"42d609f3-46c8-411c-856c-2d496724f3d8","year":2018},"citing_paper":{"arxiv_id":"2605.14567","last_updated":"2026-05-14T08:37:28Z","snapshot_observed_at":"2026-08-11T14:12:42.166997Z","submitted_at":"2026-05-14T08:37:28Z","title":"Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-05-15T01:39:21.733359Z"},"links":{"cited_paper":"/paper/1810.04374","citing_paper":"/paper/2605.14567"},"observation_digest":"sha256:d421ca7252f6403cd1e4e830afcfb6eac10346c4ae26840e9c2201506628ffbc","observation_id":"93042ee0-ae36-40c5-9f13-cca0df80f6c9","resolution":{"observed_at":"2026-05-15T01:39:38.415132Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.04374","last_updated":"2019-08-16T05:16:46Z","snapshot_observed_at":"2026-08-16T03:05:43.117470Z","submitted_at":"2018-10-10T04:58:45Z","title":"On the Approximation Properties of Random ReLU Features","version":3},"cited_work":{"arxiv_id":"1810.04374","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1810.04374","snapshot_observed_at":"2026-06-30T00:04:06.941779Z","title":"arXiv preprint arXiv:1810.04374 , year=","venue":null,"work_id":"42d609f3-46c8-411c-856c-2d496724f3d8","year":2018},"citing_paper":{"arxiv_id":"2605.25057","last_updated":"2026-05-24T13:08:34Z","snapshot_observed_at":"2026-08-04T13:20:13.185236Z","submitted_at":"2026-05-24T13:08:34Z","title":"Random Neural Network Expressivity for Non-Linear Partial Differential Equations","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-06-29T23:47:02.293881Z"},"links":{"cited_paper":"/paper/1810.04374","citing_paper":"/paper/2605.25057"},"observation_digest":"sha256:60e13aa6b23f26e18c666130deab866010f0727a50bac55d8a05c4b3b1ca7e1c","observation_id":"482de40e-1003-4934-af62-c6369dffc765","resolution":{"observed_at":"2026-06-30T00:04:06.943310Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.04374","last_updated":"2019-08-16T05:16:46Z","snapshot_observed_at":"2026-08-16T03:05:43.117470Z","submitted_at":"2018-10-10T04:58:45Z","title":"On the Approximation Properties of Random ReLU Features","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.04374","snapshot_observed_at":"2026-08-01T20:43:31.357313Z","title":"Preprint at http://arxiv.org/abs/1810.04374","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.16551","last_updated":"2026-07-17T23:17:12Z","snapshot_observed_at":"2026-08-08T10:32:40.910316Z","submitted_at":"2026-07-17T23:17:12Z","title":"On high probability of universal approximation in random basis expansions with non-continuous weight sampling","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T20:43:31.357313Z"},"links":{"cited_paper":"/paper/1810.04374","citing_paper":"/paper/2607.16551"},"observation_digest":"sha256:deb3fc5c3e749a249bed25b698e1f393fc3fa3b9f4bffe2ee862e5ad3238749a","observation_id":"bab58271-c5a6-419b-84af-8f591db98109","resolution":{"observed_at":"2026-08-01T20:43:31.357313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1810.04374/citation-record","integrity":"/paper/1810.04374/integrity","json":"/paper/1810.04374/citation-record.json","paper":"/paper/1810.04374"},"outbound":[],"paper":{"arxiv_id":"1810.04374","last_updated":"2019-08-16T05:16:46Z","latest_version":3,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-16T03:05:43.117470Z","submitted_at":"2018-10-10T04:58:45Z","title":"On the Approximation Properties of Random ReLU Features"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:1810.04374."}