{"as_of":"2026-08-10T11:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c523803189e649d602ed669282ed22be2db5312426c7c8bf41487e466575b9a3","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":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:42:13.067969Z","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":"2026-06-29T08:13:14.878832Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2106.02073","last_updated":"2022-05-10T01:55:43Z","snapshot_observed_at":"2026-07-06T11:15:46.517682Z","submitted_at":"2021-06-03T18:31:41Z","title":"Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path","version":4},"cited_work":{"arxiv_id":"2106.02073","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.02073","snapshot_observed_at":"2026-06-29T08:13:14.878832Z","title":"Neural collapse under mse loss: Proximity to and dynamics on the central path","venue":null,"work_id":"b6c6a03e-1d75-43a9-b792-2fb1e9b62e73","year":2022},"citing_paper":{"arxiv_id":"2505.11771","last_updated":"2026-02-14T20:32:03Z","snapshot_observed_at":"2026-07-06T21:25:23.371749Z","submitted_at":"2025-05-17T00:36:59Z","title":"Residual Feature Integration is Sufficient to Prevent Negative Transfer","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-22T15:10:24.596806Z"},"links":{"cited_paper":"/paper/2106.02073","citing_paper":"/paper/2505.11771"},"observation_digest":"sha256:b4aba5314580a382e2412491b79750f8169571d67d0fcfdfb9d13c815ac804b7","observation_id":"26c1cf91-b62d-4b23-b589-904842aaa6ef","resolution":{"observed_at":"2026-05-22T15:11:43.836485Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.02073","last_updated":"2022-05-10T01:55:43Z","snapshot_observed_at":"2026-07-06T11:15:46.517682Z","submitted_at":"2021-06-03T18:31:41Z","title":"Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.02073","snapshot_observed_at":"2026-08-07T15:42:13.067969Z","title":"Neural collapse under mse loss: Proximity to and dynamics on the central path","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.14254","last_updated":"2025-05-20T12:07:01Z","snapshot_observed_at":"2026-08-10T11:22:01.163229Z","submitted_at":"2025-05-20T12:07:01Z","title":"Instructing Text-to-Image Diffusion Models via Classifier-Guided Semantic Optimization","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:13.067969Z"},"links":{"cited_paper":"/paper/2106.02073","citing_paper":"/paper/2505.14254"},"observation_digest":"sha256:5012fea1b40229eeefc1a57fee30f74f1af0f6d0195d6fe05ba0c1c4f4faa6c9","observation_id":"14a18b98-7d90-45c0-b098-676aa237be67","resolution":{"observed_at":"2026-08-07T15:42:13.067969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.02073","last_updated":"2022-05-10T01:55:43Z","snapshot_observed_at":"2026-07-06T11:15:46.517682Z","submitted_at":"2021-06-03T18:31:41Z","title":"Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.02073","snapshot_observed_at":"2026-08-06T19:31:20.601467Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.05644","last_updated":"2025-09-05T01:58:57Z","snapshot_observed_at":"2026-08-09T17:06:53.067923Z","submitted_at":"2025-07-08T03:52:48Z","title":"The Features at Convergence Theorem: a first-principles alternative to the Neural Feature Ansatz for how networks learn representations","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T19:31:20.601467Z"},"links":{"cited_paper":"/paper/2106.02073","citing_paper":"/paper/2507.05644"},"observation_digest":"sha256:183c6a7040c72488098a222a52a781833ed7b717d16d16fd795b72ad74101fc6","observation_id":"1f07f671-682f-432a-9c04-4f42f1180631","resolution":{"observed_at":"2026-08-06T19:31:20.601467Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.02073","last_updated":"2022-05-10T01:55:43Z","snapshot_observed_at":"2026-07-06T11:15:46.517682Z","submitted_at":"2021-06-03T18:31:41Z","title":"Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path","version":4},"cited_work":{"arxiv_id":"2106.02073","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.02073","snapshot_observed_at":"2026-06-29T08:13:14.878832Z","title":"Neural collapse under mse loss: Proximity to and dynamics on the central path","venue":null,"work_id":"b6c6a03e-1d75-43a9-b792-2fb1e9b62e73","year":2022},"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":7,"source":"pdf_text","source_observed_at":"2026-05-18T10:22:28.096542Z"},"links":{"cited_paper":"/paper/2106.02073","citing_paper":"/paper/2510.01105"},"observation_digest":"sha256:34ef11dd34237449479902de491812f28fc853889ee78b183dd54b5d7de66510","observation_id":"cc8fc8da-3c02-467b-830e-ab2bb12a2179","resolution":{"observed_at":"2026-05-18T10:22:33.247615Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.02073","last_updated":"2022-05-10T01:55:43Z","snapshot_observed_at":"2026-07-06T11:15:46.517682Z","submitted_at":"2021-06-03T18:31:41Z","title":"Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path","version":4},"cited_work":{"arxiv_id":"2106.02073","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.02073","snapshot_observed_at":"2026-06-29T08:13:14.878832Z","title":"Neural collapse under mse loss: Proximity to and dynamics on the central path","venue":null,"work_id":"b6c6a03e-1d75-43a9-b792-2fb1e9b62e73","year":2022},"citing_paper":{"arxiv_id":"2604.21691","last_updated":"2026-04-23T13:58:12Z","snapshot_observed_at":"2026-08-02T12:48:50.592713Z","submitted_at":"2026-04-23T13:58:12Z","title":"There Will Be a Scientific Theory of Deep Learning","version":1},"reference_index":126,"source":"arxiv_source","source_observed_at":"2026-05-09T20:11:17.616190Z"},"links":{"cited_paper":"/paper/2106.02073","citing_paper":"/paper/2604.21691"},"observation_digest":"sha256:1c31f24617c474d02c26bfce40b0d4d6170f9fc0476180ef45f865e9b5c507c8","observation_id":"0112894d-9d60-464c-903e-823fb33cdc28","resolution":{"observed_at":"2026-05-11T15:21:08.832041Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.02073","last_updated":"2022-05-10T01:55:43Z","snapshot_observed_at":"2026-07-06T11:15:46.517682Z","submitted_at":"2021-06-03T18:31:41Z","title":"Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path","version":4},"cited_work":{"arxiv_id":"2106.02073","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.02073","snapshot_observed_at":"2026-06-29T08:13:14.878832Z","title":"Neural collapse under mse loss: Proximity to and dynamics on the central path","venue":null,"work_id":"b6c6a03e-1d75-43a9-b792-2fb1e9b62e73","year":2022},"citing_paper":{"arxiv_id":"2605.15571","last_updated":"2026-05-15T03:29:26Z","snapshot_observed_at":"2026-07-06T23:26:51.110846Z","submitted_at":"2026-05-15T03:29:26Z","title":"MaxSketch: Robust Distinct Counting in Streams via Random Projections","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-19T20:08:36.821661Z"},"links":{"cited_paper":"/paper/2106.02073","citing_paper":"/paper/2605.15571"},"observation_digest":"sha256:c708d92842847874a291b06d529b663ff452410440b9de8572cc855f5ad7a902","observation_id":"46bfb6ef-6cc0-49c4-accd-dd0ec64b3b23","resolution":{"observed_at":"2026-05-19T20:12:44.962466Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.02073","last_updated":"2022-05-10T01:55:43Z","snapshot_observed_at":"2026-07-06T11:15:46.517682Z","submitted_at":"2021-06-03T18:31:41Z","title":"Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path","version":4},"cited_work":{"arxiv_id":"2106.02073","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.02073","snapshot_observed_at":"2026-06-29T08:13:14.878832Z","title":"Neural collapse under mse loss: Proximity to and dynamics on the central path","venue":null,"work_id":"b6c6a03e-1d75-43a9-b792-2fb1e9b62e73","year":2022},"citing_paper":{"arxiv_id":"2605.30524","last_updated":"2026-05-28T19:59:17Z","snapshot_observed_at":"2026-08-06T17:25:23.991457Z","submitted_at":"2026-05-28T19:59:17Z","title":"Representation Collapse in Sequential Post-Training of Large Language Models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-29T08:10:25.375134Z"},"links":{"cited_paper":"/paper/2106.02073","citing_paper":"/paper/2605.30524"},"observation_digest":"sha256:1e1fba32f5c45c9ac7a23224b83765ebaa63a90bb16e54c39197302ede740cc2","observation_id":"472f3b3a-ef64-4588-a958-6802ef696659","resolution":{"observed_at":"2026-06-29T08:13:14.880543Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2106.02073/citation-record","integrity":"/paper/2106.02073/integrity","json":"/paper/2106.02073/citation-record.json","paper":"/paper/2106.02073"},"outbound":[],"paper":{"arxiv_id":"2106.02073","last_updated":"2022-05-10T01:55:43Z","latest_version":4,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T11:15:46.517682Z","submitted_at":"2021-06-03T18:31:41Z","title":"Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2106.02073."}