{"as_of":"2026-08-16T20:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8a3185675fa968661eec322cffbe1fb3dd695456067ab83648a458dd9f38f71b","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":"2026-08-16T06:30:59.297886+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":"2026-08-13T18:22:16.384749Z","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":"sha256:72e4cf2cd3c52be56c02a93da1f4ec556c27156e2d2d9932dabc77aaaf3ce735","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":"2026-08-13T18:22:16.384749Z","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":"sha256:6ecb155c90036d448a719ccf079233706da6468362394d07358286ff9fb3cb55","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":"2026-08-13T18:22:16.384749Z","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:e92dfd101f2deb55b2e3369aecb29382d0e9b0784f80b6cf357cb7e0ea2dc7ea","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":"2026-08-16T03:01:15.051750Z","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":"2026-08-13T18:22:16.384749Z","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":"sha256:4f226db65cc2783e7549f17f7e8446e04d968426ecbad510cafc75837f254777","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":"2026-08-13T18:22:16.384749Z","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":"sha256:4ea253fba795f6ce8711e9b782dc9015792104ec505ac0767eaca05583ec7b1f","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":"2026-08-13T18:22:16.384749Z","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":"sha256:65958698b7ed7d57c166c292a36c58fc9284ba309e5ece2dbbe0bb7364b967d2","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":"2026-08-13T18:22:16.384749Z","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":"sha256:1b775265424bc36f88bfb741a4c2a23d08f039cbc98a5d2efab2bcc6ce381ad8","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":"2026-08-13T18:22:16.384749Z","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":"sha256:397e4105087ee4e03eb7f388ae7798a923f63461254c3c6e4b64dac3b8f26a7f","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":"2026-08-13T18:22:16.384749Z","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":"sha256:16caee5890287dd6ad3f17853443ab82a12e30c06722275eb2dd528c6f0009fd","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":"2026-08-13T18:22:16.384749Z","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:b70909e1b599a274ea9f6b94adb5933ff08af5321258f01888498ff3c281ea27","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":"2026-08-13T18:22:16.384749Z","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":"sha256:8acf134717f6fea3da6846689f0113ae7920b09d3201c2b211fed94d3ca7fdb0","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":"2026-08-13T18:22:16.384749Z","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":"sha256:9f16503f90c8fd8bb54e3fb3a2011a02597cb48f14322cfdd13eaf7fce5c05ea","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":"2026-08-13T18:22:16.384749Z","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:b20e9daf132c77c3abca46609f3f77e5ebc778d2ddd94c37dd847975df661003","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":"2026-08-13T18:22:16.384749Z","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:e3f283a2e749e0598ec04ec94b131a20a6dbd4bf1597c7038af574c725374120","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":"2026-08-13T18:22:16.384749Z","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:abfa5d45a0cc8da23d5eb65025f09d0e1994f9b8bee73483657a6859f36a553a","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":"2026-08-13T18:22:16.384749Z","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":"sha256:1921e70af357997631a75c6414eec74cac56ed42f4bed53ab8558b07c6aedf59","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":"2026-08-13T18:22:16.384749Z","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":"sha256:26377478050f46b78d6e144c65be8374a8f24f31edd4fa8a62512c8c1eca210f","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":"2026-08-13T18:22:16.384749Z","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:bc9805f4bf5ccdbf3dafdca4f6f84781726ccd0980f55c8c59e30b1180362d62","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":"2026-08-13T18:22:16.384749Z","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":"sha256:0e5c76b1144c4c7aa61032e66ecccf8d15ec7290a118b0c4b6e902b2bfc07a50","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":"2026-08-13T18:22:16.384749Z","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:f6f911cf14c901d0bb53bf7d0a4ff0a2cfb0fa7716f1443ae0ba0bcc6bf0ab58","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":"2026-08-13T18:22:16.384749Z","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":"sha256:16919d4c8b4f25c6833f736545135ceb9ba7a4790f0badbca865a054cddb7e7b","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":"2026-08-13T18:22:16.384749Z","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":"sha256:22f2c11be0bc3d519d9aedb35ff1ecf13957be29327079ceba51947b14b49676","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":"2026-08-13T18:22:16.384749Z","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":"sha256:20089b563a1d1724a3d245d33d61281cdc99dbb9ea2b36811c852483dc11d5d5","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":"2026-08-13T18:22:16.384749Z","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":"sha256:53438aea493ccb394a1075846b3733e6a96a8ce2e7d5d1f31db9e612f2f39617","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":"2026-08-15T12:59:21.783827Z","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":"2026-08-13T18:22:16.384749Z","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":"sha256:02ce674b39282c82eb10229aa312ac7712da7827d2e64becc47735018ea13064","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":"2026-08-13T18:22:16.384749Z","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:d1b3628f6c5026b7fcd2911868cbb088ad40d40a22b8dd02eeddc0d74adfeeff","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":"2026-08-13T18:22:16.384749Z","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:cf3bfff5c0678a84aaefef659efe580ac015d9249b4cf6a418a149fc114e7ac4","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":"2026-08-08T11:03:52.719052Z","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":"2026-08-13T18:22:16.384749Z","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":"sha256:02ffc4cd1ea760de0f18373bdec7dbf9bfa2c9bd0359c689b942221ed930c309","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":"2026-08-13T18:22:16.384749Z","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":"sha256:2cf57a1d986618b6b3ed278baa55d0e742c4ee568ef751891fc326fca6373f37","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":"2026-08-13T18:22:16.384749Z","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":"sha256:590275d73ed2d96f16df271377bff2405fe2591f48db75323cc6e78c09113fe6","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":"2026-08-13T18:22:16.384749Z","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:f0f660512c1b5801e2548aec606a24f5c060a534a3f960397a64c30f4471c71e","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":"2026-08-13T18:22:16.384749Z","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":"sha256:58b55e3473664909188a663cc286b989ae1d793f7854d305586668527672bc89","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":"2026-08-13T18:22:16.384749Z","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":"sha256:2b2eaccbb70a2ee86a2956379c9366211a38d5f485abfe2c20c95a559a42f5de","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":"2026-08-13T18:22:16.384749Z","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":"sha256:0de154f4b5ac06850a20d52b82c1ca08237689d98499aeb0ec1c0d10e8fdcb25","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":"2026-08-13T18:22:16.384749Z","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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.21999."}