{"as_of":"2026-08-12T10:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a6d2981ee5d87b83e7280186abf176a07ef1b55ac111952adcc1f24a33102c1c","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T21:24:35.468351Z","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":"2026-07-04T13:29:51.125379Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.04887","last_updated":"2024-10-07T10:16:40Z","snapshot_observed_at":"2026-08-11T20:39:49.694925Z","submitted_at":"2024-10-07T10:16:40Z","title":"Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.04887","snapshot_observed_at":"2026-08-09T21:24:35.468351Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.19104","last_updated":"2025-02-04T12:16:07Z","snapshot_observed_at":"2026-08-11T09:11:16.248868Z","submitted_at":"2025-01-31T12:57:29Z","title":"Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-09T21:24:35.468351Z"},"links":{"cited_paper":"/paper/2410.04887","citing_paper":"/paper/2501.19104"},"observation_digest":"sha256:5b68f9df4d19f95d1ba99f7ec5f896b2937b238f5c66ed4094bea4198b4a7548","observation_id":"a59f008f-03ec-4997-a7c0-933378b78735","resolution":{"observed_at":"2026-08-09T21:24:35.468351Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.04887","last_updated":"2024-10-07T10:16:40Z","snapshot_observed_at":"2026-08-11T20:39:49.694925Z","submitted_at":"2024-10-07T10:16:40Z","title":"Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.04887","snapshot_observed_at":"2026-08-03T00:15:37.301008Z","title":"Wide neural networks trained with weight decay provably exhibit neural collapse.arXiv preprint arXiv:2410.04887,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.11137","last_updated":"2026-05-28T23:29:40Z","snapshot_observed_at":"2026-08-03T19:24:57.288331Z","submitted_at":"2026-02-11T18:49:26Z","title":"Weight Decay Improves Language Model Plasticity","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T00:15:37.301008Z"},"links":{"cited_paper":"/paper/2410.04887","citing_paper":"/paper/2602.11137"},"observation_digest":"sha256:8d5542d59106fc6ad7e195436675fb05c65d488fad524d0cd2cbb140749c94a9","observation_id":"0b001c98-211d-4bc9-ae58-51b16c6e074e","resolution":{"observed_at":"2026-08-03T00:15:37.301008Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.04887","last_updated":"2024-10-07T10:16:40Z","snapshot_observed_at":"2026-08-11T20:39:49.694925Z","submitted_at":"2024-10-07T10:16:40Z","title":"Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse","version":1},"cited_work":{"arxiv_id":"2410.04887","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.04887","snapshot_observed_at":"2026-07-04T13:29:51.125379Z","title":"arXiv preprint arXiv:2410.04887 , year=","venue":null,"work_id":"b8ed5f3f-9da0-4fd8-b135-dbbe3bfb05f1","year":null},"citing_paper":{"arxiv_id":"2606.26749","last_updated":"2026-06-25T08:33:34Z","snapshot_observed_at":"2026-08-01T16:00:20.311664Z","submitted_at":"2026-06-25T08:33:34Z","title":"Structure Before Collapse: Transient semantic geometry in next-token prediction","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-26T05:14:07.208255Z"},"links":{"cited_paper":"/paper/2410.04887","citing_paper":"/paper/2606.26749"},"observation_digest":"sha256:36a382ac75dd3a19d07f7d4734eee908db16f96d8644cd24f8889d01972f538f","observation_id":"a66e9ed6-909d-4367-9205-9e17319c26af","resolution":{"observed_at":"2026-07-04T13:29:51.126657Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2410.04887/citation-record","integrity":"/paper/2410.04887/integrity","json":"/paper/2410.04887/citation-record.json","paper":"/paper/2410.04887"},"outbound":[],"paper":{"arxiv_id":"2410.04887","last_updated":"2024-10-07T10:16:40Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-11T20:39:49.694925Z","submitted_at":"2024-10-07T10:16:40Z","title":"Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2410.04887."}