{"as_of":"2026-08-13T05:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b0ea3d63cbeac0511ccd291f26399e731313fbe5e8babbab23ab7e6b82a87aaa","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T19:29:58.516192Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":1,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2007.13462","last_updated":"2020-07-24T13:53:04Z","snapshot_observed_at":"2026-08-13T00:09:34.883235Z","submitted_at":"2020-07-24T13:53:04Z","title":"A short letter on the dot product between rotated Fourier transforms","version":1},"cited_work":{"arxiv_id":"2007.13462","doi":"10.48550/arxiv.2007.13462","metadata_source":"arxiv_reference","pith_arxiv_id":"2007.13462","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"year =","venue":"arXiv (Cornell University)","work_id":"81580bc9-28e4-442d-9f5b-98b7f9e70cfb","year":2007},"citing_paper":{"arxiv_id":"2605.08458","last_updated":"2026-05-08T20:26:33Z","snapshot_observed_at":"2026-07-06T23:20:43.010758Z","submitted_at":"2026-05-08T20:26:33Z","title":"Neurally-plausible radial basis kernels using distributed Fourier embeddings","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-05-12T03:45:48.001390Z"},"links":{"cited_paper":"/paper/2007.13462","citing_paper":"/paper/2605.08458"},"observation_digest":"sha256:052787c81aa3f12323181a3c56be87348a29ecd11602f8cc3fd903f7310990df","observation_id":"2050dd1a-8feb-43f2-ba07-d49c13f8f3f7","resolution":{"observed_at":"2026-05-12T03:46:19.799954Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.13462","last_updated":"2020-07-24T13:53:04Z","snapshot_observed_at":"2026-08-13T00:09:34.883235Z","submitted_at":"2020-07-24T13:53:04Z","title":"A short letter on the dot product between rotated Fourier transforms","version":1},"cited_work":{"arxiv_id":"2007.13462","doi":"10.48550/arxiv.2007.13462","metadata_source":"arxiv_reference","pith_arxiv_id":"2007.13462","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"year =","venue":"arXiv (Cornell University)","work_id":"81580bc9-28e4-442d-9f5b-98b7f9e70cfb","year":2007},"citing_paper":{"arxiv_id":"2605.10818","last_updated":"2026-05-12T17:19:23Z","snapshot_observed_at":"2026-08-11T23:39:14.134396Z","submitted_at":"2026-05-11T16:35:32Z","title":"On periodic distributed representations using Fourier embeddings","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-05-12T05:32:21.767945Z"},"links":{"cited_paper":"/paper/2007.13462","citing_paper":"/paper/2605.10818"},"observation_digest":"sha256:3eeecac596899bfb1e276b0de1ac9f13da3428ee60d636e571cdcd4098cefa3b","observation_id":"3c07e967-7e50-41e5-8bcd-32353c8809ab","resolution":{"observed_at":"2026-05-12T05:36:23.475417Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.13462","last_updated":"2020-07-24T13:53:04Z","snapshot_observed_at":"2026-08-13T00:09:34.883235Z","submitted_at":"2020-07-24T13:53:04Z","title":"A short letter on the dot product between rotated Fourier transforms","version":1},"cited_work":{"arxiv_id":"2007.13462","doi":"10.48550/arxiv.2007.13462","metadata_source":"arxiv_reference","pith_arxiv_id":"2007.13462","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"year =","venue":"arXiv (Cornell University)","work_id":"81580bc9-28e4-442d-9f5b-98b7f9e70cfb","year":2007},"citing_paper":{"arxiv_id":"2605.10818","last_updated":"2026-05-12T17:19:23Z","snapshot_observed_at":"2026-08-11T23:39:14.134396Z","submitted_at":"2026-05-11T16:35:32Z","title":"On periodic distributed representations using Fourier embeddings","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-05-13T05:55:33.666567Z"},"links":{"cited_paper":"/paper/2007.13462","citing_paper":"/paper/2605.10818"},"observation_digest":"sha256:fc892551fad8084a0fa91765435da8926451a70ccd39c140c4be90f70cdd6e83","observation_id":"7059f05c-cc21-4603-b197-3136a77bce08","resolution":{"observed_at":"2026-05-13T05:57:21.910281Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.13462","last_updated":"2020-07-24T13:53:04Z","snapshot_observed_at":"2026-08-13T00:09:34.883235Z","submitted_at":"2020-07-24T13:53:04Z","title":"A short letter on the dot product between rotated Fourier transforms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.13462","snapshot_observed_at":"2026-08-10T19:29:58.516192Z","title":"arXiv preprint arXiv:2007.13462 , year=","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.06860","last_updated":"2026-08-07T06:37:28Z","snapshot_observed_at":"2026-08-12T23:11:25.471819Z","submitted_at":"2026-08-07T06:37:28Z","title":"Bridging the Gap Between Hyperdimensional Computing and Kernel Methods via the Nystr\\\"om Method","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-08-10T19:29:58.516192Z"},"links":{"cited_paper":"/paper/2007.13462","citing_paper":"/paper/2608.06860"},"observation_digest":"sha256:e88b7c04a41f32ac2d1e69af71feaf4f04667fa0bba1f49ec388289020f93591","observation_id":"bcb68599-6d55-4aef-a993-bafe77463e1a","resolution":{"observed_at":"2026-08-10T19:29:58.516192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2007.13462/citation-record","integrity":"/paper/2007.13462/integrity","json":"/paper/2007.13462/citation-record.json","paper":"/paper/2007.13462"},"outbound":[],"paper":{"arxiv_id":"2007.13462","last_updated":"2020-07-24T13:53:04Z","latest_version":1,"primary_category":"q-bio.NC","snapshot_observed_at":"2026-08-13T00:09:34.883235Z","submitted_at":"2020-07-24T13:53:04Z","title":"A short letter on the dot product between rotated Fourier transforms"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2007.13462."}