{"as_of":"2026-08-09T08:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9db1690f37e2d6d1570ac01dc13f918f71a343dc035a8d3d454e46e1d4145161","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":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":11,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:20:32.525471Z","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":"2026-07-03T17:18:43.486926Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-08-07T15:20:32.525471Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.15624","last_updated":"2025-05-21T15:12:34Z","snapshot_observed_at":"2026-08-07T15:11:28.332416Z","submitted_at":"2025-05-21T15:12:34Z","title":"Mechanistic Insights into Grokking from the Embedding Layer","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T15:20:32.525471Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2505.15624"},"observation_digest":"sha256:8fedf5365a1da01f2918c116c8ae9dda2983caa2d7278d41f5b49867b1b4b838","observation_id":"4edad32a-ca95-44e4-aa99-fd44fb87a4c7","resolution":{"observed_at":"2026-08-07T15:20:32.525471Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-08-07T14:40:56.021018Z","title":"Du, Jason D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.18266","last_updated":"2025-05-23T18:02:46Z","snapshot_observed_at":"2026-08-09T00:29:07.939367Z","submitted_at":"2025-05-23T18:02:46Z","title":"Uncovering a Universal Abstract Algorithm for Modular Addition in Neural Networks","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T14:40:56.021018Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2505.18266"},"observation_digest":"sha256:470a70945b8dbb69c692324f5fdc6521baa5a9f5b0f07ed723838185913e6c2e","observation_id":"ec22ac2e-d3c4-4590-b745-6bb9bb1a5297","resolution":{"observed_at":"2026-08-07T14:40:56.021018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-08-07T10:21:21.605878Z","title":"URL http://dx","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.05718","last_updated":"2025-07-10T20:57:34Z","snapshot_observed_at":"2026-08-07T10:11:16.380135Z","submitted_at":"2025-06-06T03:44:28Z","title":"Grokking Beyond the Euclidean Norm of Model Parameters","version":2},"reference_index":7200,"source":"pdf_text","source_observed_at":"2026-08-07T10:21:21.605878Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2506.05718"},"observation_digest":"sha256:a1b4ddae377b26a77665f764a0365addce9c1c4e1cd3e3b3250fb9ff86441272","observation_id":"68e6b1b3-ef9c-47e0-8735-5024d86f1f3c","resolution":{"observed_at":"2026-08-07T10:21:21.605878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-08-06T20:57:50.370208Z","title":"Dichotomy of early and late phase implicit biases can provably induce grokking.arXiv preprint arXiv:2311.18817, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.01414","last_updated":"2026-06-16T22:29:23Z","snapshot_observed_at":"2026-08-06T20:49:36.796746Z","submitted_at":"2025-07-02T07:09:09Z","title":"Decomposing Prediction Mechanisms for In-Context Recall","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T20:57:50.370208Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2507.01414"},"observation_digest":"sha256:89e12f05d6b3151852bb201059ab574c0ab355216f5639544663f1668a2085ad","observation_id":"af9cca3c-f0ec-4dc1-9f81-3963a84a4100","resolution":{"observed_at":"2026-08-06T20:57:50.370208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-08-06T14:17:37.147161Z","title":"Du, Jason D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.19680","last_updated":"2025-07-25T21:19:37Z","snapshot_observed_at":"2026-08-07T16:14:29.307306Z","submitted_at":"2025-07-25T21:19:37Z","title":"Feature learning is decoupled from generalization in high capacity neural networks","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-06T14:17:37.147161Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2507.19680"},"observation_digest":"sha256:f79a0d0f3c8f7f5377c1f4a89a313b36c6b9d87dce09a83a2d0b8a95b15d2104","observation_id":"9ab219f1-b177-4de1-918e-9cb3a955493a","resolution":{"observed_at":"2026-08-06T14:17:37.147161Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-08-04T22:57:12.175287Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.06931","last_updated":"2025-09-08T17:43:45Z","snapshot_observed_at":"2026-08-07T19:04:29.724597Z","submitted_at":"2025-09-08T17:43:45Z","title":"Learning words in groups: fusion algebras, tensor ranks and grokking","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T22:57:12.175287Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2509.06931"},"observation_digest":"sha256:4b2d0f44d9bc266fcb0e94109390c0823a79e062c85a218bfc98e0b1c2ab332f","observation_id":"f6bd2900-ac4b-4d19-a26d-4b27d95f54d0","resolution":{"observed_at":"2026-08-04T22:57:12.175287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":"2311.18817","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-07-03T17:18:43.486926Z","title":"Shalima Binta Manir and Anamika Paul Rupa","venue":null,"work_id":"a14a13f0-82ad-477f-a3bb-42ee328392ba","year":2024},"citing_paper":{"arxiv_id":"2602.16746","last_updated":"2026-04-03T01:52:32Z","snapshot_observed_at":"2026-08-02T05:17:10.947346Z","submitted_at":"2026-02-18T03:57:56Z","title":"Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-15T21:31:58.997733Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2602.16746"},"observation_digest":"sha256:118ab0ccb768fe83ad03492fc4f32007048f1be002a29bb34d8b2058baec28da","observation_id":"f4d87089-9660-4632-a3e4-e50fb4ca355d","resolution":{"observed_at":"2026-05-15T21:36:40.844834Z","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":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":"2311.18817","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-07-03T17:18:43.486926Z","title":"Shalima Binta Manir and Anamika Paul Rupa","venue":null,"work_id":"a14a13f0-82ad-477f-a3bb-42ee328392ba","year":2024},"citing_paper":{"arxiv_id":"2602.18523","last_updated":"2026-04-03T01:46:22Z","snapshot_observed_at":"2026-07-06T22:46:35.212918Z","submitted_at":"2026-02-19T22:39:55Z","title":"The Geometry of Multi-Task Grokking: Transverse Instability, Superposition, and Weight Decay Phase Structure","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-15T20:39:40.957937Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2602.18523"},"observation_digest":"sha256:b44378439159c7735f2aeba891fe7ef750755926b45cbcd950675617fcc5c1d4","observation_id":"aa075c87-d188-4d4b-8472-314fbc073f8f","resolution":{"observed_at":"2026-05-15T20:40:18.359031Z","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":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":"2311.18817","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-07-03T17:18:43.486926Z","title":"Shalima Binta Manir and Anamika Paul Rupa","venue":null,"work_id":"a14a13f0-82ad-477f-a3bb-42ee328392ba","year":2024},"citing_paper":{"arxiv_id":"2605.14659","last_updated":"2026-05-14T10:12:49Z","snapshot_observed_at":"2026-08-02T09:32:52.715749Z","submitted_at":"2026-05-14T10:12:49Z","title":"Slower Generalization, Faster Memorization: A Sweet Spot in Algorithmic Learning","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-30T21:25:40.727207Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2605.14659"},"observation_digest":"sha256:c22e86875051df6f860b6a813358bec140b12d3616d4f96d0826addd877c57b3","observation_id":"3cb583af-6242-49ac-81ce-e023c410f479","resolution":{"observed_at":"2026-06-30T21:35:04.953323Z","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":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":"2311.18817","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-07-03T17:18:43.486926Z","title":"Shalima Binta Manir and Anamika Paul Rupa","venue":null,"work_id":"a14a13f0-82ad-477f-a3bb-42ee328392ba","year":2024},"citing_paper":{"arxiv_id":"2605.20441","last_updated":"2026-05-19T19:48:40Z","snapshot_observed_at":"2026-07-06T23:31:03.878152Z","submitted_at":"2026-05-19T19:48:40Z","title":"Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-21T07:30:07.287938Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2605.20441"},"observation_digest":"sha256:03c3c60414aa4f2f5e5c677fb0e2f8c4410871cc705fdfc5c3b666c2e9b07bdc","observation_id":"e5b384ef-6887-4d9b-abcb-0f073b499076","resolution":{"observed_at":"2026-05-21T07:34:02.936796Z","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":"2311.18817","last_updated":"2024-04-02T05:43:18Z","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking","version":2},"cited_work":{"arxiv_id":"2311.18817","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.18817","snapshot_observed_at":"2026-07-03T17:18:43.486926Z","title":"Shalima Binta Manir and Anamika Paul Rupa","venue":null,"work_id":"a14a13f0-82ad-477f-a3bb-42ee328392ba","year":2024},"citing_paper":{"arxiv_id":"2606.17120","last_updated":"2026-06-15T11:22:16Z","snapshot_observed_at":"2026-08-04T01:58:40.231287Z","submitted_at":"2026-06-15T11:22:16Z","title":"Noise-Driven Escape from Metastable Phases explains Grokking in Deep Neural Networks","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T04:23:46.473335Z"},"links":{"cited_paper":"/paper/2311.18817","citing_paper":"/paper/2606.17120"},"observation_digest":"sha256:681eff8c25a92bf2c44b3c58a511d3fc65e6a51222a6a472494d222e59962787","observation_id":"54ddc629-f540-45b3-ac20-93ba37f59f6b","resolution":{"observed_at":"2026-07-03T17:18:43.488606Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2311.18817/citation-record","integrity":"/paper/2311.18817/integrity","json":"/paper/2311.18817/citation-record.json","paper":"/paper/2311.18817"},"outbound":[],"paper":{"arxiv_id":"2311.18817","last_updated":"2024-04-02T05:43:18Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-08T19:12:57.855388Z","submitted_at":"2023-11-30T18:55:38Z","title":"Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking"},"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 11 inbound Pith citation observations for arXiv:2311.18817."}