{"as_of":"2026-08-08T05:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cf442089f2d0fb9eedb5ae495fb8ba44ae5692ac07b364c6963b915d78638047","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:21:00.090765Z","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":"2026-05-17T18:00:50.347465Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2310.04064","last_updated":"2023-10-06T07:42:39Z","snapshot_observed_at":"2026-08-07T22:03:56.533359Z","submitted_at":"2023-10-06T07:42:39Z","title":"How to Capture Higher-order Correlations? Generalizing Matrix Softmax Attention to Kronecker Computation","version":1},"cited_work":{"arxiv_id":"2310.04064","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.04064","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"How to capture higher-order correlations? generalizing matrix softmax attention to kronecker computation","venue":null,"work_id":"ff9a05cc-4eb0-46a3-acda-b06000b283d4","year":2023},"citing_paper":{"arxiv_id":"2306.14048","last_updated":"2023-12-18T19:10:00Z","snapshot_observed_at":"2026-08-06T19:19:02.165567Z","submitted_at":"2023-06-24T20:11:14Z","title":"H$_2$O: Heavy-Hitter Oracle for Efficient Generative Inference of Large Language Models","version":3},"reference_index":118,"source":"pdf_text","source_observed_at":"2026-05-17T18:00:50.053377Z"},"links":{"cited_paper":"/paper/2310.04064","citing_paper":"/paper/2306.14048"},"observation_digest":"sha256:24ebf3942ea9fa7dcbaa2b09017fa9101f75bbdc925044e61278babe5e9af590","observation_id":"b2548eb5-a9c4-4847-93a7-a6c1a95faaef","resolution":{"observed_at":"2026-05-17T18:00:50.350302Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.04064","last_updated":"2023-10-06T07:42:39Z","snapshot_observed_at":"2026-08-07T22:03:56.533359Z","submitted_at":"2023-10-06T07:42:39Z","title":"How to Capture Higher-order Correlations? Generalizing Matrix Softmax Attention to Kronecker Computation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.04064","snapshot_observed_at":"2026-08-07T14:21:00.090765Z","title":"How to capture higher-order correlations? generaliz- ing matrix softmax attention to kronecker computation","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.19531","last_updated":"2025-05-26T05:33:26Z","snapshot_observed_at":"2026-08-07T22:02:08.142916Z","submitted_at":"2025-05-26T05:33:26Z","title":"Minimalist Softmax Attention Provably Learns Constrained Boolean Functions","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T14:21:00.090765Z"},"links":{"cited_paper":"/paper/2310.04064","citing_paper":"/paper/2505.19531"},"observation_digest":"sha256:563d7d3147ec12fd2e2cf0524a28086f5832012a1edb3e6364b3f6819cd9bc22","observation_id":"83bfdf52-d4cc-4c50-bed9-d0b40e8dba71","resolution":{"observed_at":"2026-08-07T14:21:00.090765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.04064","last_updated":"2023-10-06T07:42:39Z","snapshot_observed_at":"2026-08-07T22:03:56.533359Z","submitted_at":"2023-10-06T07:42:39Z","title":"How to Capture Higher-order Correlations? Generalizing Matrix Softmax Attention to Kronecker Computation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.04064","snapshot_observed_at":"2026-08-07T06:10:16.430307Z","title":"and Song, Z","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.06179","last_updated":"2025-06-06T15:44:10Z","snapshot_observed_at":"2026-08-07T08:23:24.866121Z","submitted_at":"2025-06-06T15:44:10Z","title":"A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T06:10:16.430307Z"},"links":{"cited_paper":"/paper/2310.04064","citing_paper":"/paper/2506.06179"},"observation_digest":"sha256:4ef29b7a10fee79e797cfbb08832be5cd913a8fb288f8dbbc6777f807caac4c4","observation_id":"ed9c1163-000a-4186-bcff-5fc84f90fc4f","resolution":{"observed_at":"2026-08-07T06:10:16.430307Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2310.04064/citation-record","integrity":"/paper/2310.04064/integrity","json":"/paper/2310.04064/citation-record.json","paper":"/paper/2310.04064"},"outbound":[],"paper":{"arxiv_id":"2310.04064","last_updated":"2023-10-06T07:42:39Z","latest_version":1,"primary_category":"cs.DS","snapshot_observed_at":"2026-08-07T22:03:56.533359Z","submitted_at":"2023-10-06T07:42:39Z","title":"How to Capture Higher-order Correlations? Generalizing Matrix Softmax Attention to Kronecker Computation"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2310.04064."}