{"as_of":"2026-08-09T08:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0bde1f1580f2d16100c4e7eabb3c5352e063057d95b81a9328a08cbfcbb59e66","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T10:25:17.136754Z","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":"2026-07-03T09:07:47.608467Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.06308","last_updated":"2025-07-14T23:20:54Z","snapshot_observed_at":"2026-08-08T02:01:04.519456Z","submitted_at":"2025-04-07T21:58:22Z","title":"Rethinking RoPE: A Mathematical Blueprint for N-dimensional Positional Embedding","version":2},"cited_work":{"arxiv_id":"2504.06308","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.06308","snapshot_observed_at":"2026-07-03T09:07:47.608467Z","title":"Alvarez, and Hongpeng Zhou","venue":null,"work_id":"ac9ee108-3578-4879-a6b7-18a3db4b5607","year":2025},"citing_paper":{"arxiv_id":"2509.04154","last_updated":"2026-07-16T05:43:33Z","snapshot_observed_at":"2026-08-05T10:25:10.943738Z","submitted_at":"2025-09-04T12:29:14Z","title":"Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation","version":5},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-05-18T18:56:48.722344Z"},"links":{"cited_paper":"/paper/2504.06308","citing_paper":"/paper/2509.04154"},"observation_digest":"sha256:1832b7af66235f3034ff116860522935ffb2561aec7abb7a698f8493073c3bc4","observation_id":"5259d42f-c754-4555-b44a-ac78257120e3","resolution":{"observed_at":"2026-05-18T19:01:46.228465Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06308","last_updated":"2025-07-14T23:20:54Z","snapshot_observed_at":"2026-08-08T02:01:04.519456Z","submitted_at":"2025-04-07T21:58:22Z","title":"Rethinking RoPE: A Mathematical Blueprint for N-dimensional Positional Embedding","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06308","snapshot_observed_at":"2026-08-05T10:25:17.136754Z","title":"Alvarez, and Hongpeng Zhou","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.04154","last_updated":"2026-07-16T05:43:33Z","snapshot_observed_at":"2026-08-05T10:25:10.943738Z","submitted_at":"2025-09-04T12:29:14Z","title":"Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation","version":9},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-05T10:25:17.136754Z"},"links":{"cited_paper":"/paper/2504.06308","citing_paper":"/paper/2509.04154"},"observation_digest":"sha256:c3a7385601bb5f98eb93cf643f44cd8cd4feb954138abfccfbd9fc4e52b2d6e0","observation_id":"4b1e5932-fe57-4bde-ae8e-e32eb535a7d9","resolution":{"observed_at":"2026-08-05T10:25:17.136754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06308","last_updated":"2025-07-14T23:20:54Z","snapshot_observed_at":"2026-08-08T02:01:04.519456Z","submitted_at":"2025-04-07T21:58:22Z","title":"Rethinking RoPE: A Mathematical Blueprint for N-dimensional Positional Embedding","version":2},"cited_work":{"arxiv_id":"2504.06308","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.06308","snapshot_observed_at":"2026-07-03T09:07:47.608467Z","title":"Alvarez, and Hongpeng Zhou","venue":null,"work_id":"ac9ee108-3578-4879-a6b7-18a3db4b5607","year":2025},"citing_paper":{"arxiv_id":"2605.11007","last_updated":"2026-08-02T03:28:25Z","snapshot_observed_at":"2026-08-09T05:29:36.920797Z","submitted_at":"2026-05-10T08:14:14Z","title":"The Transformer as a Polar State Estimator","version":1},"reference_index":174,"source":"arxiv_source","source_observed_at":"2026-05-13T00:58:28.483037Z"},"links":{"cited_paper":"/paper/2504.06308","citing_paper":"/paper/2605.11007"},"observation_digest":"sha256:861b15f5711b8821190dc3c4d4580d08b665f57f088b5df35e1a5fafe9bb98b6","observation_id":"d981f628-662d-4aee-86a1-6144874945f4","resolution":{"observed_at":"2026-05-13T02:17:07.562702Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06308","last_updated":"2025-07-14T23:20:54Z","snapshot_observed_at":"2026-08-08T02:01:04.519456Z","submitted_at":"2025-04-07T21:58:22Z","title":"Rethinking RoPE: A Mathematical Blueprint for N-dimensional Positional Embedding","version":2},"cited_work":{"arxiv_id":"2504.06308","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.06308","snapshot_observed_at":"2026-07-03T09:07:47.608467Z","title":"Alvarez, and Hongpeng Zhou","venue":null,"work_id":"ac9ee108-3578-4879-a6b7-18a3db4b5607","year":2025},"citing_paper":{"arxiv_id":"2606.12146","last_updated":"2026-06-10T14:38:00Z","snapshot_observed_at":"2026-07-06T23:51:07.629939Z","submitted_at":"2026-06-10T14:38:00Z","title":"nD-RoPE: A Generalized RoPE for n-Dimensional Position Embedding","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T10:33:48.336183Z"},"links":{"cited_paper":"/paper/2504.06308","citing_paper":"/paper/2606.12146"},"observation_digest":"sha256:cc1f5b5ca9b97e80970692080d0c1c0a9a9a635a1f2bae666afc9585587282ac","observation_id":"7578449f-40fc-45f0-bfcf-e34c27d78519","resolution":{"observed_at":"2026-07-03T09:07:47.609887Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06308","last_updated":"2025-07-14T23:20:54Z","snapshot_observed_at":"2026-08-08T02:01:04.519456Z","submitted_at":"2025-04-07T21:58:22Z","title":"Rethinking RoPE: A Mathematical Blueprint for N-dimensional Positional Embedding","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06308","snapshot_observed_at":"2026-07-14T03:25:28.859078Z","title":"Rethinking rope: A mathematical blueprint for n-dimensional positional embedding","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.11754","last_updated":"2026-07-13T16:12:29Z","snapshot_observed_at":"2026-07-16T23:20:00.211022Z","submitted_at":"2026-07-13T16:12:29Z","title":"Higher-Order Cell Tracking Transformer","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-14T03:25:28.859078Z"},"links":{"cited_paper":"/paper/2504.06308","citing_paper":"/paper/2607.11754"},"observation_digest":"sha256:774dd5abf974ceb738db358ff6cfcd8e5d2f829a87fb10a253b0ece6336e7b17","observation_id":"787e8ea6-038b-4c4d-b062-59a4d91a806b","resolution":{"observed_at":"2026-07-14T03:25:28.859078Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.06308/citation-record","integrity":"/paper/2504.06308/integrity","json":"/paper/2504.06308/citation-record.json","paper":"/paper/2504.06308"},"outbound":[],"paper":{"arxiv_id":"2504.06308","last_updated":"2025-07-14T23:20:54Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-08T02:01:04.519456Z","submitted_at":"2025-04-07T21:58:22Z","title":"Rethinking RoPE: A Mathematical Blueprint for N-dimensional Positional Embedding"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2504.06308."}