{"as_of":"2026-08-08T23:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:097a98420c8fc247a10025444bd7047af5cd920d045edfe8d536e69c57a804cb","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-13T02:42:05.577201Z","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":"2026-05-25T05:26:38.888761Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2309.09725","last_updated":"2023-10-24T18:21:58Z","snapshot_observed_at":"2026-07-06T16:19:57.322692Z","submitted_at":"2023-09-18T12:45:08Z","title":"Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data","version":2},"cited_work":{"arxiv_id":"2309.09725","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2309.09725","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2309.09725 , year=","venue":null,"work_id":"a4de691a-cb80-4920-bd05-2576e130e119","year":null},"citing_paper":{"arxiv_id":"2510.01105","last_updated":"2026-05-08T13:22:44Z","snapshot_observed_at":"2026-07-06T22:31:24.978726Z","submitted_at":"2025-10-01T16:50:57Z","title":"Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-18T10:22:28.096542Z"},"links":{"cited_paper":"/paper/2309.09725","citing_paper":"/paper/2510.01105"},"observation_digest":"sha256:274b10aca95731e527958690bdea2afcfba2cf6ac120cf59d014e497ced60db2","observation_id":"0b316574-b2dd-4b7e-a433-fed97b26bb04","resolution":{"observed_at":"2026-05-18T10:22:33.173090Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.09725","last_updated":"2023-10-24T18:21:58Z","snapshot_observed_at":"2026-07-06T16:19:57.322692Z","submitted_at":"2023-09-18T12:45:08Z","title":"Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data","version":2},"cited_work":{"arxiv_id":"2309.09725","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2309.09725","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2309.09725 , year=","venue":null,"work_id":"a4de691a-cb80-4920-bd05-2576e130e119","year":null},"citing_paper":{"arxiv_id":"2605.01897","last_updated":"2026-05-03T14:27:12Z","snapshot_observed_at":"2026-08-02T22:43:56.329396Z","submitted_at":"2026-05-03T14:27:12Z","title":"How Label Imbalance Shapes Geometry: A General Spectral Analysis of Multi-Label Neural Collapse","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-05-08T19:29:49.018621Z"},"links":{"cited_paper":"/paper/2309.09725","citing_paper":"/paper/2605.01897"},"observation_digest":"sha256:daab737fd0250e3227e8020df385586f4966f7f2caf561b99f86508e172c2b27","observation_id":"36f14d7e-6d4b-4d2d-8ad6-c860055d782e","resolution":{"observed_at":"2026-05-09T05:50:26.816361Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.09725","last_updated":"2023-10-24T18:21:58Z","snapshot_observed_at":"2026-07-06T16:19:57.322692Z","submitted_at":"2023-09-18T12:45:08Z","title":"Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data","version":2},"cited_work":{"arxiv_id":"2309.09725","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2309.09725","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2309.09725 , year=","venue":null,"work_id":"a4de691a-cb80-4920-bd05-2576e130e119","year":null},"citing_paper":{"arxiv_id":"2605.10047","last_updated":"2026-05-11T06:16:46Z","snapshot_observed_at":"2026-08-05T08:27:17.127425Z","submitted_at":"2026-05-11T06:16:46Z","title":"Rethinking Loss Reweighting for Imbalance Learning as an Inverse Problem: A Neural Collapse Point of View","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-12T02:19:25.805509Z"},"links":{"cited_paper":"/paper/2309.09725","citing_paper":"/paper/2605.10047"},"observation_digest":"sha256:49dbfadbf2ad36461b6f6addc423f955af99854514a5cb4e00330d7d19eaaec5","observation_id":"2b763c36-431b-4ec6-b9ab-4ce6e42cf5a1","resolution":{"observed_at":"2026-05-12T02:21:16.689155Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.09725","last_updated":"2023-10-24T18:21:58Z","snapshot_observed_at":"2026-07-06T16:19:57.322692Z","submitted_at":"2023-09-18T12:45:08Z","title":"Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data","version":2},"cited_work":{"arxiv_id":"2309.09725","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2309.09725","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2309.09725 , year=","venue":null,"work_id":"a4de691a-cb80-4920-bd05-2576e130e119","year":null},"citing_paper":{"arxiv_id":"2605.23087","last_updated":"2026-05-21T22:37:25Z","snapshot_observed_at":"2026-07-06T23:33:19.375527Z","submitted_at":"2026-05-21T22:37:25Z","title":"The Implicit Bias of Depth: From Neural Collapse to Softmax Codes","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-05-25T05:26:15.556205Z"},"links":{"cited_paper":"/paper/2309.09725","citing_paper":"/paper/2605.23087"},"observation_digest":"sha256:16a8c8aff2239e6d5d5285f5a4f999b6dd99636afb1180eb3d641625a4fd25ac","observation_id":"836ff13b-01f8-4c6b-b381-c09e0a521ff6","resolution":{"observed_at":"2026-05-25T05:26:38.891799Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.09725","last_updated":"2023-10-24T18:21:58Z","snapshot_observed_at":"2026-07-06T16:19:57.322692Z","submitted_at":"2023-09-18T12:45:08Z","title":"Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.09725","snapshot_observed_at":"2026-07-13T02:42:05.577201Z","title":"Neural collapse for unconstrained feature model under cross-entropy loss with imbalanced data.Journal of Machine Learning Research, 25, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09487","last_updated":"2026-07-10T15:04:02Z","snapshot_observed_at":"2026-08-08T11:27:52.315353Z","submitted_at":"2026-07-10T15:04:02Z","title":"Neural Collapse Is Forbidden: Information Floors in Language Models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-13T02:42:05.577201Z"},"links":{"cited_paper":"/paper/2309.09725","citing_paper":"/paper/2607.09487"},"observation_digest":"sha256:7e5ceb40634050f2f0c81a81acd9ebff57b3607f793e41a1ab9e0521162e5ed7","observation_id":"ca671ba4-908d-4b50-82b8-67e79836434e","resolution":{"observed_at":"2026-07-13T02:42:05.577201Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2309.09725/citation-record","integrity":"/paper/2309.09725/integrity","json":"/paper/2309.09725/citation-record.json","paper":"/paper/2309.09725"},"outbound":[],"paper":{"arxiv_id":"2309.09725","last_updated":"2023-10-24T18:21:58Z","latest_version":2,"primary_category":"stat.ML","snapshot_observed_at":"2026-07-06T16:19:57.322692Z","submitted_at":"2023-09-18T12:45:08Z","title":"Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2309.09725."}