{"as_of":"2026-08-09T14:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:10b1129911f7894865cce87d125e17eb39d78a3dd8b5773673fef1234a7c7ad9","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":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T00:45:02.940894Z","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":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-07T00:45:02.940894Z","title":"Fourier position embedding: Enhancing attention’s periodic extension for length generalization.arXiv preprint arXiv:2412.17739, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13277","last_updated":"2025-06-17T10:12:39Z","snapshot_observed_at":"2026-08-07T00:34:20.823418Z","submitted_at":"2025-06-16T09:16:40Z","title":"SeqPE: Transformer with Sequential Position Encoding","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:02.940894Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2506.13277"},"observation_digest":"sha256:e69065ca0edcc344d28b32b8bc4f8c6db3f68671cc58b75979029f7b913e5cf5","observation_id":"514b9315-dc90-411a-98be-9b81b6177aa4","resolution":{"observed_at":"2026-08-07T00:45:02.940894Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-05T17:13:11.792545Z","title":"Angelos Katharopoulos, Apoorv Vyas, Nikolaos Pappas, and Franccois Fleuret","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.18308","last_updated":"2025-08-23T08:02:07Z","snapshot_observed_at":"2026-08-09T02:30:41.888456Z","submitted_at":"2025-08-23T08:02:07Z","title":"CoPE: A Lightweight Complex Positional Encoding","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-05T17:13:11.792545Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2508.18308"},"observation_digest":"sha256:bfb4309f8e18684e14a7ab2282d8fc379b4a24f31e80e458f482d4b4df7810fa","observation_id":"07e30fac-3258-49cd-973e-f123b46b2a41","resolution":{"observed_at":"2026-08-05T17:13:11.792545Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":"2412.17739","doi":"10.48550/arxiv.2412.17739","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fourier position embedding: Enhancing attention’s periodic extension for length generalization","venue":"arXiv (Cornell University)","work_id":"9793f2ed-d21a-44bf-931e-e6a815a7c54b","year":2024},"citing_paper":{"arxiv_id":"2510.22102","last_updated":"2026-04-28T03:11:40Z","snapshot_observed_at":"2026-08-02T17:36:08.610766Z","submitted_at":"2025-10-25T00:58:47Z","title":"Mitigating Coordinate Prediction Bias from Positional Encoding Failures","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-18T05:11:30.734633Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2510.22102"},"observation_digest":"sha256:674defce5de2e21bb0f5d0ab3b37e27c8338339f41ed49e64999776c759143b4","observation_id":"4215a694-f9a7-4881-9e3d-4fc0220d2853","resolution":{"observed_at":"2026-05-18T05:12:23.576606Z","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":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":"2412.17739","doi":"10.48550/arxiv.2412.17739","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fourier position embedding: Enhancing attention’s periodic extension for length generalization","venue":"arXiv (Cornell University)","work_id":"9793f2ed-d21a-44bf-931e-e6a815a7c54b","year":2024},"citing_paper":{"arxiv_id":"2510.26692","last_updated":"2025-11-01T12:05:18Z","snapshot_observed_at":"2026-08-07T19:30:34.681869Z","submitted_at":"2025-10-30T16:59:43Z","title":"Kimi Linear: An Expressive, Efficient Attention Architecture","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-13T23:49:10.555255Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2510.26692"},"observation_digest":"sha256:9e7f5c57fbd902ebd638c870d8d971f9fec8f3bb60f020f8ab1b07adc4035ed4","observation_id":"1954f43f-480a-4efb-ba53-c9008c540c5a","resolution":{"observed_at":"2026-05-13T23:49:11.154378Z","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":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":"2412.17739","doi":"10.48550/arxiv.2412.17739","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fourier position embedding: Enhancing attention’s periodic extension for length generalization","venue":"arXiv (Cornell University)","work_id":"9793f2ed-d21a-44bf-931e-e6a815a7c54b","year":2024},"citing_paper":{"arxiv_id":"2603.11680","last_updated":"2026-04-07T03:32:25Z","snapshot_observed_at":"2026-07-06T22:48:48.873215Z","submitted_at":"2026-03-12T08:46:19Z","title":"UCAN: Unified Convolutional Attention Network for Expansive Receptive Fields in Lightweight Super-Resolution","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-15T12:30:22.351735Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2603.11680"},"observation_digest":"sha256:4bf4532214138c9e8e88abe679d7a03b6df2a8dcc502d38c28c7fa3fb1179f78","observation_id":"79ff3d99-6ab9-4f86-aa36-c5d1e7382b33","resolution":{"observed_at":"2026-05-15T12:30:35.240254Z","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":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":"2412.17739","doi":"10.48550/arxiv.2412.17739","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fourier position embedding: Enhancing attention’s periodic extension for length generalization","venue":"arXiv (Cornell University)","work_id":"9793f2ed-d21a-44bf-931e-e6a815a7c54b","year":2024},"citing_paper":{"arxiv_id":"2604.20817","last_updated":"2026-04-22T17:45:27Z","snapshot_observed_at":"2026-08-02T12:51:53.558607Z","submitted_at":"2026-04-22T17:45:27Z","title":"Convergent Evolution: How Different Language Models Learn Similar Number Representations","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-10T00:47:20.963501Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2604.20817"},"observation_digest":"sha256:1a19616c4080d550626513524fa547828a3e7b53630c477777da4c81b002f599","observation_id":"be47ecd7-e2c7-489a-b025-2e8b2378082c","resolution":{"observed_at":"2026-05-10T00:49:48.460750Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":"2412.17739","doi":"10.48550/arxiv.2412.17739","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fourier position embedding: Enhancing attention’s periodic extension for length generalization","venue":"arXiv (Cornell University)","work_id":"9793f2ed-d21a-44bf-931e-e6a815a7c54b","year":2024},"citing_paper":{"arxiv_id":"2605.23719","last_updated":"2026-05-20T13:35:17Z","snapshot_observed_at":"2026-08-02T10:22:47.382889Z","submitted_at":"2026-05-20T13:35:17Z","title":"Weierstrass Positional Encoding for Vision Transformers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-25T05:48:36.533090Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2605.23719"},"observation_digest":"sha256:9d6075384b7913003eb9b0d8a481775cb63139f919ff7ef7a4c2195c3e244c8d","observation_id":"161dcf8f-9826-479d-90a3-4cddbefb8f67","resolution":{"observed_at":"2026-05-25T05:50:23.765922Z","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":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":"2412.17739","doi":"10.48550/arxiv.2412.17739","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fourier position embedding: Enhancing attention’s periodic extension for length generalization","venue":"arXiv (Cornell University)","work_id":"9793f2ed-d21a-44bf-931e-e6a815a7c54b","year":2024},"citing_paper":{"arxiv_id":"2605.24681","last_updated":"2026-05-23T17:35:43Z","snapshot_observed_at":"2026-07-06T23:34:43.210149Z","submitted_at":"2026-05-23T17:35:43Z","title":"Mix-MoE: Improving Multilingual Machine Translation of Large Language Models through Mixed MoEs","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-30T13:22:40.017922Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2605.24681"},"observation_digest":"sha256:1a39d5557af85610a2771a47a2751200734394b40b5f70e4eb616a1f1d311bbf","observation_id":"bdca59fe-1cc1-4e18-bb3f-e8a47482b1de","resolution":{"observed_at":"2026-06-30T13:24:40.046732Z","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":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":"2412.17739","doi":"10.48550/arxiv.2412.17739","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fourier position embedding: Enhancing attention’s periodic extension for length generalization","venue":"arXiv (Cornell University)","work_id":"9793f2ed-d21a-44bf-931e-e6a815a7c54b","year":2024},"citing_paper":{"arxiv_id":"2606.04302","last_updated":"2026-06-03T00:12:22Z","snapshot_observed_at":"2026-07-06T23:44:28.265478Z","submitted_at":"2026-06-03T00:12:22Z","title":"LazyAttention: Efficient Retrieval-Augmented Generation with Deferred Positional Encoding","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-06-28T07:04:28.959310Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2606.04302"},"observation_digest":"sha256:0b7e6ead1d32190e7ae302428561218a6df06614888de5e86b81160039785ec5","observation_id":"795b498e-3a38-4fde-8a3c-d59354bfb0dd","resolution":{"observed_at":"2026-06-28T07:11:45.570922Z","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":"2412.17739","last_updated":"2025-07-14T04:23:36Z","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.17739","snapshot_observed_at":"2026-08-01T17:23:25.469076Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.26369","last_updated":"2026-07-29T01:07:27Z","snapshot_observed_at":"2026-08-09T10:29:23.124160Z","submitted_at":"2026-07-29T01:07:27Z","title":"ClockRoPE: Random Fourier Rotations for Temporal Routine Modeling","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T17:23:25.469076Z"},"links":{"cited_paper":"/paper/2412.17739","citing_paper":"/paper/2607.26369"},"observation_digest":"sha256:1901f155fdf8fd70f60c61062e1eeac6127479d634f4f1c4ace732600f18b0a4","observation_id":"05113f2d-9de5-4c38-a7da-e196b2ea0ef4","resolution":{"observed_at":"2026-08-01T17:23:25.469076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.17739/citation-record","integrity":"/paper/2412.17739/integrity","json":"/paper/2412.17739/citation-record.json","paper":"/paper/2412.17739"},"outbound":[],"paper":{"arxiv_id":"2412.17739","last_updated":"2025-07-14T04:23:36Z","latest_version":4,"primary_category":"cs.AI","snapshot_observed_at":"2026-08-04T11:01:04.622331Z","submitted_at":"2024-12-23T17:44:01Z","title":"Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization"},"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 10 inbound Pith citation observations for arXiv:2412.17739."}