{"as_of":"2026-08-09T15:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:891f77b83dec2e7405a2655b29ab479e8eabeb812c1a92cc3fd796ebb71b1d0f","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:15:51.243958Z","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":"2026-05-25T06:40:24.715840Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2205.06308","last_updated":"2023-05-05T21:23:54Z","snapshot_observed_at":"2026-07-06T13:09:25.356940Z","submitted_at":"2022-05-12T18:50:21Z","title":"An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.06308","snapshot_observed_at":"2026-08-07T11:15:51.243958Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.03470","last_updated":"2025-06-04T00:55:01Z","snapshot_observed_at":"2026-08-08T03:37:32.203029Z","submitted_at":"2025-06-04T00:55:01Z","title":"Models of Heavy-Tailed Mechanistic Universality","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:51.243958Z"},"links":{"cited_paper":"/paper/2205.06308","citing_paper":"/paper/2506.03470"},"observation_digest":"sha256:1b6f1527a405aad2eda696c9df2e133b01944ec418c9b3eea8460fa226a8d64b","observation_id":"2250c840-d260-4a64-a1a1-8565d18c2ac1","resolution":{"observed_at":"2026-08-07T11:15:51.243958Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.06308","last_updated":"2023-05-05T21:23:54Z","snapshot_observed_at":"2026-07-06T13:09:25.356940Z","submitted_at":"2022-05-12T18:50:21Z","title":"An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.06308","snapshot_observed_at":"2026-08-07T05:54:49.309883Z","title":"An equivalence principle for the spectrum of random inner-product kernel matrices with polynomial scalings.arXiv preprint arXiv:2205.06308, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.06749","last_updated":"2025-06-07T10:41:54Z","snapshot_observed_at":"2026-08-08T11:15:08.536054Z","submitted_at":"2025-06-07T10:41:54Z","title":"Statistical Limits for Finite-Rank Tensor Estimation","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T05:54:49.309883Z"},"links":{"cited_paper":"/paper/2205.06308","citing_paper":"/paper/2506.06749"},"observation_digest":"sha256:feb455d65b58e1a7723fbbca3181f4348ea6683b29bcee8470baec1510332b99","observation_id":"008382cc-922d-414d-b648-0d355eddfe4f","resolution":{"observed_at":"2026-08-07T05:54:49.309883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.06308","last_updated":"2023-05-05T21:23:54Z","snapshot_observed_at":"2026-07-06T13:09:25.356940Z","submitted_at":"2022-05-12T18:50:21Z","title":"An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.06308","snapshot_observed_at":"2026-08-04T22:29:25.849236Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.07372","last_updated":"2025-09-09T03:46:50Z","snapshot_observed_at":"2026-08-09T02:43:01.411122Z","submitted_at":"2025-09-09T03:46:50Z","title":"On the edge eigenvalues of sparse random geometric graphs","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T22:29:25.849236Z"},"links":{"cited_paper":"/paper/2205.06308","citing_paper":"/paper/2509.07372"},"observation_digest":"sha256:5f5e6e8791239ceb9d7872d23656ff600a7331f4446ced2f584ea4a1a49accaf","observation_id":"24b7dcc2-93f8-4564-bac0-c7baa3bd21b6","resolution":{"observed_at":"2026-08-04T22:29:25.849236Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.06308","last_updated":"2023-05-05T21:23:54Z","snapshot_observed_at":"2026-07-06T13:09:25.356940Z","submitted_at":"2022-05-12T18:50:21Z","title":"An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings","version":2},"cited_work":{"arxiv_id":"2205.06308","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2205.06308","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2205.06308 , year=","venue":null,"work_id":"a822f4d6-7b17-40c1-bff9-2257cb0715fb","year":null},"citing_paper":{"arxiv_id":"2605.14567","last_updated":"2026-05-14T08:37:28Z","snapshot_observed_at":"2026-08-03T00:46:36.800591Z","submitted_at":"2026-05-14T08:37:28Z","title":"Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-05-15T01:39:21.733359Z"},"links":{"cited_paper":"/paper/2205.06308","citing_paper":"/paper/2605.14567"},"observation_digest":"sha256:b80cf12ef65085490c03207b5b7ae98dd6f81e699c2d022d66a4386cfea78762","observation_id":"23bebdb2-70af-4328-aed8-3cb5966dc52d","resolution":{"observed_at":"2026-05-15T01:39:38.357722Z","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":"2205.06308","last_updated":"2023-05-05T21:23:54Z","snapshot_observed_at":"2026-07-06T13:09:25.356940Z","submitted_at":"2022-05-12T18:50:21Z","title":"An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings","version":2},"cited_work":{"arxiv_id":"2205.06308","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2205.06308","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2205.06308 , year=","venue":null,"work_id":"a822f4d6-7b17-40c1-bff9-2257cb0715fb","year":null},"citing_paper":{"arxiv_id":"2605.17767","last_updated":"2026-05-21T20:45:44Z","snapshot_observed_at":"2026-08-04T06:32:13.198687Z","submitted_at":"2026-05-18T02:37:50Z","title":"Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent","version":1},"reference_index":166,"source":"arxiv_source","source_observed_at":"2026-05-20T01:29:14.555216Z"},"links":{"cited_paper":"/paper/2205.06308","citing_paper":"/paper/2605.17767"},"observation_digest":"sha256:02eb601fc282a1977a5f5222df7b3b22a4cd171d0c758decabedf2c0d5006382","observation_id":"08807bbf-eed0-48a8-8aff-3dfa07917781","resolution":{"observed_at":"2026-05-20T01:32:56.128469Z","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":"2205.06308","last_updated":"2023-05-05T21:23:54Z","snapshot_observed_at":"2026-07-06T13:09:25.356940Z","submitted_at":"2022-05-12T18:50:21Z","title":"An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings","version":2},"cited_work":{"arxiv_id":"2205.06308","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2205.06308","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2205.06308 , year=","venue":null,"work_id":"a822f4d6-7b17-40c1-bff9-2257cb0715fb","year":null},"citing_paper":{"arxiv_id":"2605.17767","last_updated":"2026-05-21T20:45:44Z","snapshot_observed_at":"2026-08-04T06:32:13.198687Z","submitted_at":"2026-05-18T02:37:50Z","title":"Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent","version":2},"reference_index":166,"source":"arxiv_source","source_observed_at":"2026-05-25T06:39:16.246591Z"},"links":{"cited_paper":"/paper/2205.06308","citing_paper":"/paper/2605.17767"},"observation_digest":"sha256:febf8376586d6faecee8bb165e7d3dd03334e281c8c87e38ddb96b638d9ccfc8","observation_id":"4565ba64-099e-44b2-b523-8363dee5dd5f","resolution":{"observed_at":"2026-05-25T06:40:24.719338Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2205.06308/citation-record","integrity":"/paper/2205.06308/integrity","json":"/paper/2205.06308/citation-record.json","paper":"/paper/2205.06308"},"outbound":[],"paper":{"arxiv_id":"2205.06308","last_updated":"2023-05-05T21:23:54Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T13:09:25.356940Z","submitted_at":"2022-05-12T18:50:21Z","title":"An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings"},"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 6 inbound Pith citation observations for arXiv:2205.06308."}