{"as_of":"2026-07-21T21:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:54b48daa1f3e73a0f330e314b0481c45e581a6264d25e3c5742313244d5f702c","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-12T01:32:25.729874Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-07-21T06:31:05.380196+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-11T00:46:52.525784Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-11T00:47:42.613064Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"cited_work":{"arxiv_id":"2605.08237","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.08237","snapshot_observed_at":"2026-07-11T00:47:42.613064Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","venue":"cs.LG","work_id":"e141e5e1-fad4-497c-ba7c-cea90c8e28c3","year":2026},"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":38,"source":"pdf_text","source_observed_at":"2026-05-21T07:30:07.287938Z"},"links":{"cited_paper":"/paper/2605.08237","citing_paper":"/paper/2605.20441"},"observation_digest":"sha256:a3e70e09b7f61432751c79f1553bbdfd68379270a9b09b7592302b07edca379a","observation_id":"d9bc0e3f-99db-4859-a1e5-9b2f3d3061ae","resolution":{"observed_at":"2026-05-21T07:34:02.931073Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"cited_work":{"arxiv_id":"2605.08237","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.08237","snapshot_observed_at":"2026-07-11T00:47:42.613064Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","venue":"cs.LG","work_id":"e141e5e1-fad4-497c-ba7c-cea90c8e28c3","year":2026},"citing_paper":{"arxiv_id":"2607.06639","last_updated":"2026-07-07T14:44:18Z","snapshot_observed_at":"2026-07-11T23:18:25.838569Z","submitted_at":"2026-07-07T14:44:18Z","title":"At-Grok Is Not Converged:A Measurement-Validity Audit for Grokking Representation Metrics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-11T00:46:52.525784Z"},"links":{"cited_paper":"/paper/2605.08237","citing_paper":"/paper/2607.06639"},"observation_digest":"sha256:189a4e69b991d4c1d91c683aa8a7035b98e77a8dfb1f056d6863ef2a13a3898f","observation_id":"1ddceb85-b212-41ad-908f-27eeafdb5206","resolution":{"observed_at":"2026-07-11T00:47:42.634524Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2605.08237/citation-record","integrity":"/paper/2605.08237/integrity","json":"/paper/2605.08237/citation-record.json","paper":"/paper/2605.08237"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1708.02685","last_updated":"2017-08-09T00:52:27Z","snapshot_observed_at":"2026-07-06T05:54:34.259250Z","submitted_at":"2017-08-09T00:52:27Z","title":"Data driven modal decompositions: analysis and enhancements","version":1},"cited_work":{"arxiv_id":"1708.02685","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1708.02685","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3a598534-7fd4-487c-bb14-ddace287e956","year":2023},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"cited_paper":"/paper/1708.02685","citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:ad1e31428e4ab3c692485b29da1f214940cf19966ba3c0c5f9b6216a6e58a3c9","observation_id":"82fb55cc-0c0f-448c-b5c7-fa3d018ee4c9","resolution":{"observed_at":"2026-06-04T18:11:13.928498Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/jcd.2014.1.391","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T10:53:18.973606Z","title":"doi: 10.3934/jcd.2014.1.391","venue":null,"work_id":"8b9a2b74-4410-40f8-ab62-53b5c8e5ac95","year":2014},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:d4a975a61d3f9cc1f32cc8d2fc281b194abee0c44257191f50d6bf0b1cb8989e","observation_id":"c52c9ca3-9f2f-4f5c-8d36-803a8a9fcbca","resolution":{"observed_at":"2026-05-12T01:36:14.810069Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-05-20T15:53:55.610344+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-20T15:53:55.610344+00:00","source":"openalex_status_cache"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.2310002121","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"active-set complexity","venue":null,"work_id":"99d92b66-4815-40fd-8cb6-0afe20fa1c68","year":2021},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:aeecc08d4d61dd5ef6bb120b62516f8250f1608363aecef4647c959fa0aa5068","observation_id":"88f30354-bce6-4940-8f89-9a82bfac7d55","resolution":{"observed_at":"2026-05-12T01:36:14.815372Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.04697","last_updated":"2025-05-19T11:02:53Z","snapshot_observed_at":"2026-07-06T20:18:21.419068Z","submitted_at":"2025-01-08T18:58:48Z","title":"Grokking at the Edge of Numerical Stability","version":2},"cited_work":{"arxiv_id":"2501.04697","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.04697","snapshot_observed_at":"2026-07-03T21:18:58.716725Z","title":"David Saad and Sara A Solla","venue":null,"work_id":"1e01c3cd-0fcf-43c8-affb-9f70fe66d9ce","year":2025},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"cited_paper":"/paper/2501.04697","citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:a1dfe64bbc830c5fc7c6b66f6d8f5c949ca1fbe01883c28bb73325f36e0b2fb9","observation_id":"4dcbcf81-6a2f-4e2a-ad80-c7d60785d4c1","resolution":{"observed_at":"2026-05-12T07:56:26.508645Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1126/science.adi5639","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T07:36:03.992506Z","title":"Mechanism for feature learning in neural networks and backpropagation-free machine learning models","venue":"Science","work_id":"5b10646c-ed3d-46ba-abc3-6260539fe2ba","year":2024},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:a7c3c5763c37a625b1be5c3ca68704bb543380710e0e240a53e2b91123c3e313","observation_id":"13063ab6-e14c-4d74-9715-7f35f0e3edba","resolution":{"observed_at":"2026-05-12T01:36:14.819331Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-09T09:49:33.711283+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-09T09:49:33.711283+00:00","source":"openalex_status_cache"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.01053","last_updated":"2019-11-11T14:17:33Z","snapshot_observed_at":"2026-07-06T06:37:07.054351Z","submitted_at":"2018-05-02T23:28:59Z","title":"Mean Field Analysis of Neural Networks: A Law of Large Numbers","version":4},"cited_work":{"arxiv_id":"1805.01053","doi":"10.48550/arxiv.1805.01053","metadata_source":"arxiv_reference","pith_arxiv_id":"1805.01053","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Sirignano and K","venue":null,"work_id":"9b53bbd3-f249-4423-ac25-57f5d153a8e4","year":2018},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"cited_paper":"/paper/1805.01053","citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:e4d7529154a9995cc7831750ed7cbe9bdb4b3fb3e75091df18650c9c7150ff74","observation_id":"22c9cfda-af3a-4ebd-a1f8-89924dbeac89","resolution":{"observed_at":"2026-05-12T07:56:26.523122Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"naturally shuffled","venue":null,"work_id":"bbcf1cd6-5df8-4c96-89ff-fa402ca62739","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:e1308b02a15629151b5478959fa7522b9a9092c183be3f6a5c82a76913dad243","observation_id":"a449f71a-3e31-43ad-9dcd-ed81f7dbcbe5","resolution":{"observed_at":"2026-05-14T06:44:03.828213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The task maps pairs (a, b)∈ {0","venue":null,"work_id":"c9edf3b5-9dee-4ef0-a6d2-5a6f5de474c9","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:7ee5ca19e92a748a0bcca41024ef9218b9559430a42e38bd208930309df1be0b","observation_id":"e5b30929-1cf0-442d-a0f3-340626c78bf6","resolution":{"observed_at":"2026-05-14T06:44:03.809389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"01a408dd-57b5-4ef0-b461-2fa2c9703c30","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:ea78280b5d7d024669b5ae4518f49c39c010d6b81911498e6a003081db950b7e","observation_id":"b6108a4c-9283-4f2b-88a3-ade1113d87d0","resolution":{"observed_at":"2026-05-14T06:44:03.805331Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"935ec716-5b8b-4027-80a0-e51ffcaed855","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:b1bac3a22c0db2ca84aacfc3924e85a14c0cf810286f23622231bac8e45fbc53","observation_id":"a71a327a-a177-4800-9c1d-b2dc19e06748","resolution":{"observed_at":"2026-05-14T06:44:03.782333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8e0b1804-5aa0-452c-9668-69137005ad7b","year":2024},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:555b05698c534c4082abe7610955e8ad8de684b5842b87ee7893fe6616a1a92f","observation_id":"2fbd00da-ed37-463e-ae68-5fbe114bd323","resolution":{"observed_at":"2026-05-14T06:44:03.796016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lead time is threshold-dependent and is always reported jointly with FPR","venue":null,"work_id":"a830ae7c-2c33-4c98-a5a0-907d7274f92d","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:2ca9379cc2b585014fa4480a067943d96d270b56d8699e6d2df10d7597ab8f9e","observation_id":"f19caa83-5697-4347-8262-5e723c947fbb","resolution":{"observed_at":"2026-05-14T06:44:03.801084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The result quantifies sensitivity, not causal mechanism; one boundary-case low-RR early-training failure is reported alongside the main pool","venue":null,"work_id":"1bf4eb70-8f0c-47ab-95cd-e151a949e99d","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:8e3a332047a7e1a7950c4f197d6f869bebf5895ad37b7a8a0a2ffac37a4846de","observation_id":"9568a6c7-ea30-43fc-bb9d-2027addf8cd7","resolution":{"observed_at":"2026-05-14T06:44:03.792001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Norm-derived signals nevertheless remain strong run-level regime indicators on the same pool, and we do not claim RR universally outperforms norm baselines","venue":null,"work_id":"6552d6d5-a401-4dde-b4b9-8c2047025063","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:383898ad6605d0921c572c46839344f536820e51086633927871a5bef47aa30c","observation_id":"0ef1ce75-6701-49ce-9b63-729f90fc1ab7","resolution":{"observed_at":"2026-05-14T06:44:03.787289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"550176f4-12d5-49e4-b8a3-c45dcb867456","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:19a6a4dadb6b77d373b0ff36a6a5151bf56016696d691a83fbbc803ec05e36bc","observation_id":"76f83762-ae1d-4e7d-bcd1-897000720f10","resolution":{"observed_at":"2026-05-14T06:44:03.813623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"91ac9ece-c584-4ebc-84d6-c02d52b4a4d2","year":null},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:d17c07ca4c56c04f89943e4aa26906c0eb5efc594318161408a4cf8c38d20468","observation_id":"e443c8f0-4f41-4883-bf3d-1a42b7805e30","resolution":{"observed_at":"2026-05-14T06:44:03.818275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"FCN results (Appendix T) are a secondary low-residual regime descriptor use, not a grokking diagnostic claim","venue":null,"work_id":"1d3cd6d9-14d1-4dde-b046-85c92c80feec","year":1900},"citing_paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-12T01:32:25.729874Z"},"links":{"citing_paper":"/paper/2605.08237"},"observation_digest":"sha256:8f95945b067df67e97a3b137afab7ecb80519c852017f9f49fc38edc0098bf41","observation_id":"fb7a5fb8-2a91-481c-9e19-4fb21acc5270","resolution":{"observed_at":"2026-05-14T06:44:03.823234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-21T06:31:05.380196+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.08237","last_updated":"2026-05-07T03:08:58Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T23:20:28.875586Z","submitted_at":"2026-05-07T03:08:58Z","title":"Distributional Spectral Diagnostics for Localizing Grokking Transitions"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":0,"verified_exact":5,"verified_fuzzy":11},"total_outbound_references":17},"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":"2026-07-21T06:31:05.380196+00:00","source":"crossref"},{"observed_at":"2026-07-21T06:31:00.184556+00:00","source":"retraction_watch"}],"thesis":"As of 21 July 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2605.08237."}