{"as_of":"2026-08-01T14:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2815bdbf77323fa13210b2e0fbeb8ab4614c4113538ed87159982616bf226238","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T06:11:13.056499Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-01T06:32:01.292127+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.21999/citation-record","integrity":"/paper/2607.21999/integrity","json":"/paper/2607.21999/citation-record.json","paper":"/paper/2607.21999"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:08.940603Z","title":"2020 IEEE international conference on big data (Big data) , pages=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:08.940603Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:b2311292c0fa96f19350cce2dfea310cc7680d6bd58c417e2ae9ab6006b7603c","observation_id":"00a08084-8b5c-4662-aaf0-5e6b5fffa431","resolution":{"observed_at":"2026-08-01T06:11:08.940603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.025505Z","title":"Journal of Statistical Mechanics: Theory and Experiment , volume=","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.025505Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:1d98e2a36b1a755f06fb44a724aff19a39f5ec1893455974d17fc29e49fe354f","observation_id":"5cef51e1-88a8-4379-8adb-4428ca3ef313","resolution":{"observed_at":"2026-08-01T06:11:09.025505Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.092436Z","title":"Proceedings of the International Conference on Learning Representations (ICLR) , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.092436Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:95ab27953e5106c3473b29e5d8e77aeed30f1d035de298db0f4ef3d2783ef98f","observation_id":"fc73a271-9bb1-45e2-8496-a8decc8191ee","resolution":{"observed_at":"2026-08-01T06:11:09.092436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.04623","last_updated":"2018-09-13T09:29:55Z","snapshot_observed_at":"2026-07-06T06:09:11.794595Z","submitted_at":"2017-11-13T15:11:56Z","title":"Three Factors Influencing Minima in SGD","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.04623","snapshot_observed_at":"2026-08-01T06:11:09.212280Z","title":"arXiv preprint arXiv:1711.04623 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.212280Z"},"links":{"cited_paper":"/paper/1711.04623","citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:daacbffdd6fcd7f616764add2c687c7a5c1c83eddc4e511bb4d452d80a8d8ff5","observation_id":"1d399971-e05d-4a8d-9041-3b3cc682e2f6","resolution":{"observed_at":"2026-08-01T06:11:09.212280Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.284552Z","title":"European conference on computer vision , pages=","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.284552Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:ff7411df4cb3688d5e77d3d139f70a282d4a5e398326f23ce56c0edb943ce146","observation_id":"d1aa2a00-7f4a-49ce-a2d7-0928507c460e","resolution":{"observed_at":"2026-08-01T06:11:09.284552Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.376382Z","title":"Proceedings of the IEEE/CVF conference on computer vision and pattern recognition , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.376382Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:dc0123251dc5aefebe02e7d84bba32d4e29ed684e9db2d6b3036f8cda7a4b64b","observation_id":"5de6a104-056a-45b5-a2ff-be41e396cf8f","resolution":{"observed_at":"2026-08-01T06:11:09.376382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.479525Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.479525Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:27cd53921fac4df23518e47572b493168bec2d68cb1bbc3dee6f78d15464fb60","observation_id":"15b00776-0bea-401d-8400-ecae97ca5dfd","resolution":{"observed_at":"2026-08-01T06:11:09.479525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.568886Z","title":"International conference on machine learning , pages=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.568886Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:479e8e06a33bb33886c1e96af8c185f52dff36c6530cc123d2ad3f57f6a46d3b","observation_id":"65c03740-6ab3-4d39-bfd4-c9841ac76145","resolution":{"observed_at":"2026-08-01T06:11:09.568886Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.624343Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.624343Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:b8f06437bcbac2308a508b77efb140517adfd4eee7dc6ddec0816fa243738164","observation_id":"bfaaaa89-12d4-4eee-b75c-590322315772","resolution":{"observed_at":"2026-08-01T06:11:09.624343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.677856Z","title":"Proceedings of the IEEE conference on computer vision and pattern recognition , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.677856Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:60655d059968add8e27f70a0cd77788906fe05572e8ca5ca7e35e4539bb2b7d0","observation_id":"95c1ebf4-f1c7-4b47-863c-56a54019ad8a","resolution":{"observed_at":"2026-08-01T06:11:09.677856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.733522Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.733522Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:4a08e4ca542a39b19e323f09938f6070a1631546ab628e4cb6c6b3e918c5c792","observation_id":"afbe210d-d328-498e-86a7-20faeebcdaa2","resolution":{"observed_at":"2026-08-01T06:11:09.733522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.801171Z","title":"Proceedings of the IEEE conference on computer vision and pattern recognition , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.801171Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:564bc1f0c642a3ae98208fe81f9b1c00669c276b60430b9931137ccc9d7a6a5f","observation_id":"b66dfa9e-56d0-4362-8d82-5c0c257c58cc","resolution":{"observed_at":"2026-08-01T06:11:09.801171Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.889039Z","title":"Proceedings of the IEEE/CVF conference on computer vision and pattern recognition , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.889039Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:1f3843ddc4d60eda0c69d75c0e8c525f042da96239b2937a7dc148709030b95b","observation_id":"b6f27098-5fb9-4c62-bc4c-a807c974276e","resolution":{"observed_at":"2026-08-01T06:11:09.889039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:09.997113Z","title":"Proceedings of the IEEE/CVF conference on computer vision and pattern recognition , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:09.997113Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:070aa2ff87ed908fcb6830ad1a0316703000246f66cedc715aa8b3fd26fb20b1","observation_id":"d4dc97e7-da2f-44ac-be0f-8702add22c50","resolution":{"observed_at":"2026-08-01T06:11:09.997113Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:10.087008Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:10.087008Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:f824f25dd64a2c3b5dcc06b491191e54f45017813082ef30bdcd9ae4eb135df8","observation_id":"e71ba293-bb4e-4628-9d90-caf09cbab5d8","resolution":{"observed_at":"2026-08-01T06:11:10.087008Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:10.166070Z","title":"International Conference on Machine Learning , pages=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:10.166070Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:bbfd35ae4aec051e281b91958278a50d5e0fdee3d8c2f61c827b82bc5f68b684","observation_id":"90932a24-028a-4173-805f-8760322ae8ca","resolution":{"observed_at":"2026-08-01T06:11:10.166070Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:10.223562Z","title":"Neural networks , volume=","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:10.223562Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:15e0013fe69c6568086cc6eb50dc48903ecea98afc52ee96000615b2a4ec2e38","observation_id":"5113ca95-f7dd-46b4-9bf3-d40aae948eba","resolution":{"observed_at":"2026-08-01T06:11:10.223562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:10.290808Z","title":"Advances in Neural Information Processing Systems , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:10.290808Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:2f3b0a067d514aff233284217a65491caf4d02c08b0ca9c241030a294538c069","observation_id":"f7497b5b-85bd-484a-a230-dc5d98422161","resolution":{"observed_at":"2026-08-01T06:11:10.290808Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:10.521251Z","title":"IEEE Transactions on Pattern Analysis and Machine Intelligence , volume=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:10.521251Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:fb0c1490bfd8fc8ae5ab3ba840324c0e02298e80d9444f65608dd6139af98ca6","observation_id":"f8f77240-b118-4381-9754-8ff0554ab729","resolution":{"observed_at":"2026-08-01T06:11:10.521251Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:10.690774Z","title":"Proceedings of the 41st International Conference on Machine Learning , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:10.690774Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:3e5b970778f2a6d9a91d1a4b794622fcdb0d7e4390bcbd49dce96b9b5cc632da","observation_id":"3381bfae-9f3d-49cc-9646-0d7d47a3023b","resolution":{"observed_at":"2026-08-01T06:11:10.690774Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:10.865492Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:10.865492Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:b513373ec8c17bce5c0c0abafce8dbf5735a9a216bd5bef6c9da9ea23c8a7668","observation_id":"a9ea6588-b8d3-499e-b7ee-8ca832f712bc","resolution":{"observed_at":"2026-08-01T06:11:10.865492Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:11.085278Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:11.085278Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:4e22ed9b6504377df19424a4cca776ebaa40ee8b5366552d2ca5d916e6c78f08","observation_id":"fec5acc4-11c5-4348-82f2-3ff0bfaaeb26","resolution":{"observed_at":"2026-08-01T06:11:11.085278Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:11.320437Z","title":"Proceedings of the IEEE/CVF International Conference on Computer Vision , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:11.320437Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:3e90ade701d217c943f4ada548889ad6744c16511befa1933066b6816bf86a57","observation_id":"6169b9af-ccff-4c8a-9dab-d9c80b9ef0b4","resolution":{"observed_at":"2026-08-01T06:11:11.320437Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:11.492304Z","title":"Proceedings of the IEEE/CVF conference on computer vision and pattern recognition , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:11.492304Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:6e1d903a461178326a56ae315350bb7f61770213e1442ba8ec767bdcc910744a","observation_id":"13613165-0ae0-4e4f-8b6d-1c59666160f3","resolution":{"observed_at":"2026-08-01T06:11:11.492304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.09217","last_updated":"2020-02-19T15:51:25Z","snapshot_observed_at":"2026-07-06T08:30:57.798886Z","submitted_at":"2019-10-21T09:03:19Z","title":"Decoupling Representation and Classifier for Long-Tailed Recognition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.09217","snapshot_observed_at":"2026-08-01T06:11:11.654740Z","title":"arXiv preprint arXiv:1910.09217 , year=","venue":null,"work_id":null,"year":1910},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:11.654740Z"},"links":{"cited_paper":"/paper/1910.09217","citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:27476b8714926d74c6eaa0d4c3312f9b9a71fe5d055befc5443baa40b1a06da1","observation_id":"e4ba3743-7949-4de1-898a-ca0006038dbd","resolution":{"observed_at":"2026-08-01T06:11:11.654740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:11.862030Z","title":"Advances in neural information processing systems , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:11.862030Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:5b1b639efe04632db32f0af9b7184d537be76ef5274b6359684b44a17a2875fa","observation_id":"e69da3da-5883-459c-a5ea-aa721d1b7114","resolution":{"observed_at":"2026-08-01T06:11:11.862030Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:12.034219Z","title":"European conference on computer vision , pages=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:12.034219Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:b28749029095ba8b84497e35653432f9639284e4b95a199b7d4ad12f68a54ed9","observation_id":"3f1686c5-6ad9-4d41-b4e2-ea0cba39836f","resolution":{"observed_at":"2026-08-01T06:11:12.034219Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.07314","last_updated":"2021-07-09T21:23:25Z","snapshot_observed_at":"2026-07-06T09:38:14.662327Z","submitted_at":"2020-07-14T19:27:13Z","title":"Long-tail learning via logit adjustment","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.07314","snapshot_observed_at":"2026-08-01T06:11:12.208753Z","title":"arXiv preprint arXiv:2007.07314 , year=","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:12.208753Z"},"links":{"cited_paper":"/paper/2007.07314","citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:e9d595facddf289ccd04bd8dba898893ca6ea8e259947c659dbaecc59ce3093e","observation_id":"c1e59d48-87b2-4b7a-bf6a-3c41870b55fa","resolution":{"observed_at":"2026-08-01T06:11:12.208753Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:12.411004Z","title":"International Conference on Machine Learning , pages=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:12.411004Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:bb909b9fdce92e6bd8e5ad6f68597a6a414bb0a29922cccb9fa267f14141941f","observation_id":"35c0d70d-c9f2-41b7-931d-11ae06c5d59a","resolution":{"observed_at":"2026-08-01T06:11:12.411004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:12.576317Z","title":"The twelfth international conference on learning representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:12.576317Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:2d7fbbc320ba99adbcd31acd58b9ada45f09b2d52dcad04b26026429154f0da2","observation_id":"4a02f602-5a1d-4fc0-9236-4e63d9783ec8","resolution":{"observed_at":"2026-08-01T06:11:12.576317Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:12.696354Z","title":"Science China Information Sciences , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:12.696354Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:1677da4550063d7f769e83e0c07968824419b2c05da6aee0f2808315f577223b","observation_id":"5bbe1216-bb79-4294-ab33-e8c3150af411","resolution":{"observed_at":"2026-08-01T06:11:12.696354Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:12.814987Z","title":"Proceedings of the IEEE/CVF international conference on computer vision , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:12.814987Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:feb9a9e1f559eb6c3b5e438cf61eb6f94608fb11a5568aa9d680339076c23e48","observation_id":"d30b4a39-d33e-4368-85c7-9c4d89083445","resolution":{"observed_at":"2026-08-01T06:11:12.814987Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:12.912111Z","title":"European conference on computer vision , pages=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:12.912111Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:4220372d3f828539eea59ab1c8cb2b2f734291f79757b4874f93728815377268","observation_id":"23c47bcf-1ae0-461e-8826-9cee3eda1767","resolution":{"observed_at":"2026-08-01T06:11:12.912111Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:11:13.056499Z","title":"Proceedings of the IEEE/CVF conference on computer vision and pattern recognition , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-01T06:11:13.056499Z"},"links":{"citing_paper":"/paper/2607.21999"},"observation_digest":"sha256:9571d73b3b8785abd0aff978b472d6f07ebf97b70b5206a29f12d81d90955f4c","observation_id":"c299ddf5-011d-49ef-808c-f9c292a0be44","resolution":{"observed_at":"2026-08-01T06:11:13.056499Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.21999","last_updated":"2026-07-24T05:56:00Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-01T06:11:07.259552Z","submitted_at":"2026-07-24T05:56:00Z","title":"From Perturbation Correction to Geometry-Aware Sampling: Sharpness-Guided Equilibrium Sampling for Balanced Flat Minima in Long-Tailed Learning"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":34,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":34},"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":"2026-08-01T06:32:01.292127+00:00","source":"crossref"},{"observed_at":"2026-08-01T06:31:58.492377+00:00","source":"retraction_watch"}],"thesis":"As of 1 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.21999."}