{"as_of":"2026-08-07T15:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:66bf7dd192f28809c8a00f70485fcc23b7e45273b20e4ae354c6f46e03aa7410","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":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:57:51.762842Z","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":"2026-07-04T05:39:40.951218Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-08-07T14:57:51.762842Z","title":"How transformers learn structured data: insights from hierarchical filtering","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.16959","last_updated":"2025-09-01T20:18:07Z","snapshot_observed_at":"2026-08-07T14:50:14.651913Z","submitted_at":"2025-05-22T17:40:08Z","title":"Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T14:57:51.762842Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2505.16959"},"observation_digest":"sha256:61ed1665cce3e62508d0e0e710a227693a93da82426cd32c39e473da7bea6229","observation_id":"7fd7dd6b-00b2-4b82-a2c4-6406ec086cca","resolution":{"observed_at":"2026-08-07T14:57:51.762842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-08-05T11:47:19.992093Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.02225","last_updated":"2025-09-02T11:43:21Z","snapshot_observed_at":"2026-08-05T11:47:17.141267Z","submitted_at":"2025-09-02T11:43:21Z","title":"Towards Fundamental Language Models: Does Linguistic Competence Scale with Model Size?","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T11:47:19.992093Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2509.02225"},"observation_digest":"sha256:6d97a2dda4191cc352a2fa0ece03815d63da12e181cad74055d0d22fdcefa9a6","observation_id":"c863be64-5225-447f-8dc1-d5bd06284a44","resolution":{"observed_at":"2026-08-05T11:47:19.992093Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":"2408.15138","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-07-04T05:39:40.951218Z","title":"How transformers learn structured data: insights from hierarchical filtering","venue":null,"work_id":"6a812cd5-4071-4c58-a557-2185d65e2c8b","year":2024},"citing_paper":{"arxiv_id":"2605.07844","last_updated":"2026-05-08T15:08:00Z","snapshot_observed_at":"2026-08-04T02:29:52.241978Z","submitted_at":"2026-05-08T15:08:00Z","title":"Distributional simplicity bias and effective convexity in Energy Based Models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-11T02:24:42.639358Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2605.07844"},"observation_digest":"sha256:0fc08d00eebbe48dadb6a26dae4aaff66276b2a91ce8d652d16f3e44a4a8c987","observation_id":"da0f22af-ea31-4280-ba49-1e888a21c31e","resolution":{"observed_at":"2026-05-11T02:25:53.693368Z","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":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":"2408.15138","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-07-04T05:39:40.951218Z","title":"How transformers learn structured data: insights from hierarchical filtering","venue":null,"work_id":"6a812cd5-4071-4c58-a557-2185d65e2c8b","year":2024},"citing_paper":{"arxiv_id":"2605.27006","last_updated":"2026-05-26T13:26:36Z","snapshot_observed_at":"2026-08-03T01:15:03.058879Z","submitted_at":"2026-05-26T13:26:36Z","title":"Sampling Data with Chains of Forward-Backward Diffusion Steps","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-06-29T19:19:04.067028Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2605.27006"},"observation_digest":"sha256:2b0e09116cb15bdff2800a8cd4224fe4b63db80c2d3c5a3001145e22ee04fabc","observation_id":"b5116401-7c7f-4f79-94c6-52a9997ee029","resolution":{"observed_at":"2026-06-29T19:23:53.972458Z","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":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":"2408.15138","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-07-04T05:39:40.951218Z","title":"How transformers learn structured data: insights from hierarchical filtering","venue":null,"work_id":"6a812cd5-4071-4c58-a557-2185d65e2c8b","year":2024},"citing_paper":{"arxiv_id":"2605.27734","last_updated":"2026-05-26T22:16:42Z","snapshot_observed_at":"2026-07-06T23:37:27.309837Z","submitted_at":"2026-05-26T22:16:42Z","title":"Learn from your own latents and not from tokens: A sample-complexity theory","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-29T18:22:40.908929Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2605.27734"},"observation_digest":"sha256:6a2250b7372ea367af75c35080a0a7cfa673a8221e0108bd2e3b3d5b75042ecb","observation_id":"3891a5e1-61a3-4641-85d0-fd474d362a33","resolution":{"observed_at":"2026-06-29T18:23:50.523601Z","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":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":"2408.15138","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-07-04T05:39:40.951218Z","title":"How transformers learn structured data: insights from hierarchical filtering","venue":null,"work_id":"6a812cd5-4071-4c58-a557-2185d65e2c8b","year":2024},"citing_paper":{"arxiv_id":"2606.20299","last_updated":"2026-07-01T14:03:37Z","snapshot_observed_at":"2026-07-06T23:55:29.991442Z","submitted_at":"2026-06-18T14:35:53Z","title":"Statistical Properties of Training & Generalization","version":1},"reference_index":212,"source":"arxiv_source","source_observed_at":"2026-06-26T15:35:51.654392Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2606.20299"},"observation_digest":"sha256:25dd51dfcb77a1badf881158fc98319347d11a586d9fec414e0326e61ba5e712","observation_id":"21d9da67-9dca-4f68-b546-c5c27b9c13a6","resolution":{"observed_at":"2026-07-04T05:39:40.953159Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":"2408.15138","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-07-04T05:39:40.951218Z","title":"How transformers learn structured data: insights from hierarchical filtering","venue":null,"work_id":"6a812cd5-4071-4c58-a557-2185d65e2c8b","year":2024},"citing_paper":{"arxiv_id":"2606.20299","last_updated":"2026-07-01T14:03:37Z","snapshot_observed_at":"2026-07-06T23:55:29.991442Z","submitted_at":"2026-06-18T14:35:53Z","title":"Statistical Properties of Training & Generalization","version":2},"reference_index":212,"source":"arxiv_source","source_observed_at":"2026-07-02T21:51:13.457071Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2606.20299"},"observation_digest":"sha256:7ca0fa0aa75acca06d43d8461c509b184d48e245de6099702f7d644fb6d64e07","observation_id":"1bd090d1-d751-49fa-9f87-a98c057f2100","resolution":{"observed_at":"2026-07-02T21:57:25.554618Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":"2408.15138","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-07-04T05:39:40.951218Z","title":"How transformers learn structured data: insights from hierarchical filtering","venue":null,"work_id":"6a812cd5-4071-4c58-a557-2185d65e2c8b","year":2024},"citing_paper":{"arxiv_id":"2606.20347","last_updated":"2026-06-18T15:15:57Z","snapshot_observed_at":"2026-08-03T19:01:38.303561Z","submitted_at":"2026-06-18T15:15:57Z","title":"Critical Percolation as a Synthetic Data Model for Interpretability","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-26T17:41:29.317167Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2606.20347"},"observation_digest":"sha256:f85513b7466bdb74004d4fe0b757b508c86afb0843398d3fee3ac833bfbeed22","observation_id":"08a7375c-6692-40bb-ab18-403c46c290d9","resolution":{"observed_at":"2026-07-04T03:49:29.597546Z","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":"2408.15138","last_updated":"2025-06-10T08:51:44Z","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering","version":3},"cited_work":{"arxiv_id":"2408.15138","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.15138","snapshot_observed_at":"2026-07-04T05:39:40.951218Z","title":"How transformers learn structured data: insights from hierarchical filtering","venue":null,"work_id":"6a812cd5-4071-4c58-a557-2185d65e2c8b","year":2024},"citing_paper":{"arxiv_id":"2606.28103","last_updated":"2026-06-26T14:00:04Z","snapshot_observed_at":"2026-08-03T02:49:31.335229Z","submitted_at":"2026-06-26T14:00:04Z","title":"Phase structure of the Random Language Model","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-29T01:59:29.260387Z"},"links":{"cited_paper":"/paper/2408.15138","citing_paper":"/paper/2606.28103"},"observation_digest":"sha256:fe76a444ff1fcd4499ba84f2dd6865df2329ccd6e1a96cc6db01c7ad54dfb01f","observation_id":"f781a555-c577-4486-a15d-f6e6be2b0d9d","resolution":{"observed_at":"2026-07-01T18:25:58.312283Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2408.15138/citation-record","integrity":"/paper/2408.15138/integrity","json":"/paper/2408.15138/citation-record.json","paper":"/paper/2408.15138"},"outbound":[],"paper":{"arxiv_id":"2408.15138","last_updated":"2025-06-10T08:51:44Z","latest_version":3,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T08:59:10.821438Z","submitted_at":"2024-08-27T15:23:09Z","title":"How transformers learn structured data: insights from hierarchical filtering"},"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 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2408.15138."}