{"as_of":"2026-08-08T19:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bb91082b6d54c9db073938c5fca138fa05604af13456419c858a5f7e3e4e86ce","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T00:57:41.582290Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2607.26001/citation-record","integrity":"/paper/2607.26001/integrity","json":"/paper/2607.26001/citation-record.json","paper":"/paper/2607.26001"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T00:57:37.636560Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:37.636560Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:e6a9148bb14012ce3a9eb85e2f55657c20c0dd353768a7335fc1bf78184ec83d","observation_id":"d2fcce71-b773-4e27-82d2-c4d496440aba","resolution":{"observed_at":"2026-08-01T00:57:37.636560Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.06232","last_updated":"2022-06-13T15:07:32Z","snapshot_observed_at":"2026-08-05T15:58:22.873737Z","submitted_at":"2022-06-13T15:07:32Z","title":"Towards Understanding Sharpness-Aware Minimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.06232","snapshot_observed_at":"2026-08-01T00:57:37.707793Z","title":"Towards understanding sharpness-aware minimization, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:37.707793Z"},"links":{"cited_paper":"/paper/2206.06232","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:ea21fb85e407c188a3d21735ee51764c22193c8b0b7d5f4235ee22ae2f5aa79f","observation_id":"4daaed55-e34a-4115-a6ec-a4a6d0b0a3e9","resolution":{"observed_at":"2026-08-01T00:57:37.707793Z","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":"2026-08-01T00:57:37.736093Z","title":"Sharpness-aware min- imization leads to low-rank features","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:37.736093Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:ba58f9a754fc25c15e7f3742ebef9abef28b798458bc7b096bf5cddaaf102811","observation_id":"7d75bf14-0cda-4dab-8468-d0f92a2b3c29","resolution":{"observed_at":"2026-08-01T00:57:37.736093Z","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":"2026-08-01T00:57:37.769272Z","title":"Momentum-SAM: Sharpness aware minimization without computational overhead, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:37.769272Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:0243d7297dee6f921630109c5b055287cc2f2a8993cd08d0bfc44a0a3451f87d","observation_id":"f2aa9e9a-8575-4116-a2e5-6de3bdb88f05","resolution":{"observed_at":"2026-08-01T00:57:37.769272Z","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":"2026-08-01T00:57:37.871764Z","title":"Modular duality in deep learning","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:37.871764Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:887daaf7564b58e884e3a455a9e73063eda4f0ff71331f6ed1771c5ec9dc78db","observation_id":"03840038-ec5b-49e9-a04b-0ba56dcfde2d","resolution":{"observed_at":"2026-08-01T00:57:37.871764Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.07159","last_updated":"2020-06-12T13:17:25Z","snapshot_observed_at":"2026-08-07T08:01:08.867333Z","submitted_at":"2020-06-12T13:17:25Z","title":"Are we done with ImageNet?","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.07159","snapshot_observed_at":"2026-08-01T00:57:38.003121Z","title":"Hénaff, Alexander Kolesnikov, Xiaohua Zhai, and Aäron van den Oord","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.003121Z"},"links":{"cited_paper":"/paper/2006.07159","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:604086e5129f674ddf408271532084cbf8683f011f055a1c3b5c059ffa794eff","observation_id":"675b06ff-38b1-49d0-904c-663fd557d613","resolution":{"observed_at":"2026-08-01T00:57:38.003121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.01580","last_updated":"2022-05-03T15:54:44Z","snapshot_observed_at":"2026-08-05T01:37:29.867606Z","submitted_at":"2022-05-03T15:54:44Z","title":"Better plain ViT baselines for ImageNet-1k","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.01580","snapshot_observed_at":"2026-08-01T00:57:38.127652Z","title":"Better plain vit baselines for ImageNet-1K, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.127652Z"},"links":{"cited_paper":"/paper/2205.01580","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:25d1e1afb753fd169789511ea4a339d2c481689895c32db4771e134330160f89","observation_id":"19b01c79-d094-4285-854e-ab1986593644","resolution":{"observed_at":"2026-08-01T00:57:38.127652Z","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":"2026-08-01T00:57:38.220025Z","title":"Springer, 1997","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.220025Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:8c6e96f24fa11698cecbc8272dd74bf23e81cd20717236b5ef0ef1f59305e39b","observation_id":"bae6d671-9ab2-47b3-bc64-b4352909c53f","resolution":{"observed_at":"2026-08-01T00:57:38.220025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.01548","last_updated":"2022-03-13T18:58:43Z","snapshot_observed_at":"2026-07-06T11:15:26.915483Z","submitted_at":"2021-06-03T02:08:03Z","title":"When Vision Transformers Outperform ResNets without Pre-training or Strong Data Augmentations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.01548","snapshot_observed_at":"2026-08-01T00:57:38.332324Z","title":"When vision transformers outperform ResNets without pre-training or strong data augmentations, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.332324Z"},"links":{"cited_paper":"/paper/2106.01548","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:9c45422a06b46789b7a25d385411a7a0121b898b9190a373b97f2564e1fa7967","observation_id":"f98f0b6f-896d-4d96-959a-165cf170f97d","resolution":{"observed_at":"2026-08-01T00:57:38.332324Z","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":"2026-08-01T00:57:38.430221Z","title":"DeepSeek-V4: Towards highly efficient million-token context intelligence","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.430221Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:7272426a927211cb365ff6a05b7b6976dc03f193654651a3721b047b48d3723a","observation_id":"857b873b-eb61-4c6e-91c3-034a33bccfbb","resolution":{"observed_at":"2026-08-01T00:57:38.430221Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.11929","last_updated":"2021-06-03T13:08:56Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-10-22T17:55:59Z","title":"An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.11929","snapshot_observed_at":"2026-08-01T00:57:38.526149Z","title":"An image is worth 16x16 words: Transformers for image recognition at scale.arXiv preprint arXiv:2010.11929, 2020","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.526149Z"},"links":{"cited_paper":"/paper/2010.11929","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:dace8601fd80e0937384118259cb09c8f31129704ae1f6c0ac67951def13c2b8","observation_id":"cf0946a4-a787-44b9-9633-e6a5af68eac8","resolution":{"observed_at":"2026-08-01T00:57:38.526149Z","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":"2026-08-01T00:57:38.612084Z","title":"Efficient sharpness-aware minimization for improved training of neural networks","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.612084Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:b1cdbfeb1faf13140037faa623b9137021be527227e9b8fba0ccfc60f69ff04e","observation_id":"7048335e-c29f-4172-bb43-b740c5f6fbfd","resolution":{"observed_at":"2026-08-01T00:57:38.612084Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.01412","last_updated":"2021-04-29T16:44:25Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-10-03T19:02:10Z","title":"Sharpness-Aware Minimization for Efficiently Improving Generalization","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.01412","snapshot_observed_at":"2026-08-01T00:57:38.722310Z","title":"Sharpness-aware minimization for efficiently improving generalization.arXiv preprint arXiv:2010.01412, 2020","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.722310Z"},"links":{"cited_paper":"/paper/2010.01412","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:cf95d26588229e44304bddbfe0e95a8a3f0207d0988ff1c3a9d152b105d0ef1e","observation_id":"945b2e15-1768-47c6-a44c-425d47f8418b","resolution":{"observed_at":"2026-08-01T00:57:38.722310Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.06471","last_updated":"2025-08-08T17:21:06Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-08-08T17:21:06Z","title":"GLM-4.5: Agentic, Reasoning, and Coding (ARC) Foundation Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.06471","snapshot_observed_at":"2026-08-01T00:57:38.892323Z","title":"Glm-4.5: Agentic, reasoning, and coding (arc) foundation models, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:38.892323Z"},"links":{"cited_paper":"/paper/2508.06471","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:d6099d956de9cc3f403a8d8df5bf20b258f51ecc0ca63640def451cfdc524897","observation_id":"12d3dd34-58ca-415f-a90d-4e95e5de5ff2","resolution":{"observed_at":"2026-08-01T00:57:38.892323Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.05704","last_updated":"2022-06-07T19:25:30Z","snapshot_observed_at":"2026-08-07T09:29:25.938148Z","submitted_at":"2021-04-12T17:58:56Z","title":"Escaping the Big Data Paradigm with Compact Transformers","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.05704","snapshot_observed_at":"2026-08-01T00:57:39.004226Z","title":"Escaping the big data paradigm with compact transformers, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:39.004226Z"},"links":{"cited_paper":"/paper/2104.05704","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:fbccfa44555ee562949dbebb61bf0723abb550067266021dd1cd4b985d97ca17","observation_id":"ccc7e7c6-45ba-4aa5-a70e-ed2d72c89aef","resolution":{"observed_at":"2026-08-01T00:57:39.004226Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.03385","last_updated":"2015-12-10T19:51:55Z","snapshot_observed_at":"2026-07-06T04:39:28.429064Z","submitted_at":"2015-12-10T19:51:55Z","title":"Deep Residual Learning for Image Recognition","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.03385","snapshot_observed_at":"2026-08-01T00:57:39.107482Z","title":"Deep residual learning for image recognition, 2015","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:39.107482Z"},"links":{"cited_paper":"/paper/1512.03385","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:ac64ffef43588efee996654105b6ac7756f8d6d4bcf615358c1f003803d7b388","observation_id":"94926ebd-1a00-485b-ac2a-6fcfc4576f8c","resolution":{"observed_at":"2026-08-01T00:57:39.107482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.16241","last_updated":"2021-07-24T04:28:58Z","snapshot_observed_at":"2026-07-06T09:33:44.070039Z","submitted_at":"2020-06-29T17:59:10Z","title":"The Many Faces of Robustness: A Critical Analysis of Out-of-Distribution Generalization","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.16241","snapshot_observed_at":"2026-08-01T00:57:39.216964Z","title":"The many faces of robustness: A critical analysis of out-of-distribution generalization, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:39.216964Z"},"links":{"cited_paper":"/paper/2006.16241","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:410b0fcb75825befdd295b82143faee931dcb991a1356430454d3b524e0a8080","observation_id":"779607ba-8978-439a-98bb-953a19f41d7b","resolution":{"observed_at":"2026-08-01T00:57:39.216964Z","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":"2026-08-01T00:57:39.393046Z","title":"Flat minima.Neural Comput., 9(1):1–42, January 1997","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:39.393046Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:1862b6ed7cff5d6f60d029781c7df9057c3d9953a5bc60ca034b2b95a53bc6fb","observation_id":"0fd0e061-a799-4aa3-b90c-5aea1c005067","resolution":{"observed_at":"2026-08-01T00:57:39.393046Z","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":"2026-08-01T00:57:39.549832Z","title":"Muon: An optimizer for hidden layers in neural networks, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:39.549832Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:5b0b89f72a2ae27f73c498fe46a376995ba2eb6b918f0f5ed785680d42429011","observation_id":"8c65a019-6d86-47ed-bdac-25a970a8683e","resolution":{"observed_at":"2026-08-01T00:57:39.549832Z","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":"2026-08-01T00:57:39.695192Z","title":"Fisher SAM: Information geometry and sharpness aware minimisation","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:39.695192Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:20bf994a3a79ae91523f26e16185dc7d0ce0c1cff4d3f324ee7c3e1cd4027c5c","observation_id":"d3573103-ae6a-42b0-b921-3be4455c4a18","resolution":{"observed_at":"2026-08-01T00:57:39.695192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.20534","last_updated":"2026-02-03T04:57:00Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-07-28T05:35:43Z","title":"Kimi K2: Open Agentic Intelligence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.20534","snapshot_observed_at":"2026-08-01T00:57:39.890582Z","title":"Kimi K2: Open agentic intelligence, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:39.890582Z"},"links":{"cited_paper":"/paper/2507.20534","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:af06060d2c9d5f6e499caa5a3a3a35feb2268e8c1bb8de2dd2191134e0aa5000","observation_id":"da3b59b2-25da-4352-880c-f534b8ea1ea0","resolution":{"observed_at":"2026-08-01T00:57:39.890582Z","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":"2026-08-01T00:57:40.024643Z","title":"Kingma and Jimmy Ba","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.024643Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:c92c4a888e8c80541c1dd616429a2606faa392a1d876834a5b6b3f281e956186","observation_id":"3a24b3fd-7ac2-4218-9ff2-84bb687172b8","resolution":{"observed_at":"2026-08-01T00:57:40.024643Z","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":"2026-08-01T00:57:40.163073Z","title":"Learning multiple layers of features from tiny images","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.163073Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:2e799a965ecb3340b8a7eefc2142e6a4afdabe7526eb8bf3396a13e1d9c73480","observation_id":"f87cb2a3-2786-43bc-bad1-6186842abc3f","resolution":{"observed_at":"2026-08-01T00:57:40.163073Z","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":"2026-08-01T00:57:40.273270Z","title":"Asam: Adaptive sharpness-aware minimization for scale-invariant learning of deep neural networks","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.273270Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:1b504d8bbfafec5464c5b44db21c24a48c81a61588eebd3c6621dc1e9e4fcfb2","observation_id":"e2b159f3-a941-4c19-87c6-9fcbee7fc16f","resolution":{"observed_at":"2026-08-01T00:57:40.273270Z","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":"2026-08-01T00:57:40.376700Z","title":"Friendly sharpness-aware minimization","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.376700Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:58bb5422b07710f76aee448ec461f3046ae8895037bfd9bc6a3e8c3e40478526","observation_id":"db72aa0a-f5b6-453c-9527-0972d39a458d","resolution":{"observed_at":"2026-08-01T00:57:40.376700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.16982","last_updated":"2025-02-24T09:12:29Z","snapshot_observed_at":"2026-08-02T00:32:51.000665Z","submitted_at":"2025-02-24T09:12:29Z","title":"Muon is Scalable for LLM Training","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.16982","snapshot_observed_at":"2026-08-01T00:57:40.488125Z","title":"Muon is scalable for LLM training, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.488125Z"},"links":{"cited_paper":"/paper/2502.16982","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:cfad65888f927a60b18abdf58cae8c3eda6baca3aa13d78bd0dc9f8adf876e71","observation_id":"7e62c52c-be38-45b3-903d-201ca3b4dd73","resolution":{"observed_at":"2026-08-01T00:57:40.488125Z","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":"2026-08-01T00:57:40.549190Z","title":"Towards efficient and scalable sharpness- aware minimization","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.549190Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:fd140159753720eaa8591e6d87fd81a6f266d6229e5274b961f919d3d98d3005","observation_id":"ea3a26cb-101d-4560-a2cd-5a47ac350c4a","resolution":{"observed_at":"2026-08-01T00:57:40.549190Z","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":"2026-08-01T00:57:40.656493Z","title":"Decoupled weight decay regularization","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.656493Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:cd529973ac17a2f6814f451fde68e128da01a4609992124995f544121c2bb6e7","observation_id":"a12c106d-9a19-4b89-a96e-7d275b86aeb6","resolution":{"observed_at":"2026-08-01T00:57:40.656493Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11199","last_updated":"2024-11-04T12:47:31Z","snapshot_observed_at":"2026-08-02T23:00:06.950994Z","submitted_at":"2024-10-15T02:34:26Z","title":"Isambard-AI: a leadership class supercomputer optimised specifically for Artificial Intelligence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.11199","snapshot_observed_at":"2026-08-01T00:57:40.738067Z","title":"Isambard-AI: a leadership class supercomputer optimised specifically for artificial intelligence, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.738067Z"},"links":{"cited_paper":"/paper/2410.11199","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:645785dc66a233ead3a60e8bfe9dc529ee80bf10c906eabff73bab7186fcaad1","observation_id":"e3cb03e0-7818-47dc-864f-9357a6ac19e1","resolution":{"observed_at":"2026-08-01T00:57:40.738067Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.07529","last_updated":"2025-06-06T13:42:19Z","snapshot_observed_at":"2026-08-03T03:50:14.086851Z","submitted_at":"2025-02-11T13:10:34Z","title":"Training Deep Learning Models with Norm-Constrained LMOs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.07529","snapshot_observed_at":"2026-08-01T00:57:40.804203Z","title":"Training deep learning models with norm-constrained LMOs, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.804203Z"},"links":{"cited_paper":"/paper/2502.07529","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:cf252ad4db3a83a53c58ce156647571746567c19bb942a75e9963e0b8717e8f6","observation_id":"8803d09d-bdbe-4e37-9d26-d76bf8ff8664","resolution":{"observed_at":"2026-08-01T00:57:40.804203Z","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":"2026-08-01T00:57:40.878501Z","title":"The effective rank: A measure of effective dimensionality","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.878501Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:0e86345fc9078dd135fee9370cb9c3249e578b4903ac6f59313cddb0e474386d","observation_id":"41d7228d-55c9-4c22-b5af-6a0244a0adeb","resolution":{"observed_at":"2026-08-01T00:57:40.878501Z","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":"2026-08-01T00:57:40.936962Z","title":"Berg, and Li Fei-Fei","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:40.936962Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:ab65b6bd1f57185fbe52962d460010da738c2262d48ef0f61d520e65a14feceb","observation_id":"ec90a550-ccfe-480a-b652-d241c819eb9c","resolution":{"observed_at":"2026-08-01T00:57:40.936962Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-01T00:57:41.043237Z","title":"Avoiding spurious sharpness minimization broadens applicability of SAM","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:41.043237Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:cf6b3d70d870ea5d83399c043a3ae11be939b912b49d3fd06c671756bca39b7f","observation_id":"c24d270e-e989-47f1-a27c-51977be8c9d2","resolution":{"observed_at":"2026-08-01T00:57:41.043237Z","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":"2026-08-01T00:57:41.124236Z","title":"Arcee trinity large technical report, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:41.124236Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:9220f2e3dc9fd20b51d038ff60165268cad8186208a1fe500a4fb17df9eb664d","observation_id":"5140c928-8e69-4c91-8ca5-3d9cf8eeccd1","resolution":{"observed_at":"2026-08-01T00:57:41.124236Z","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":"2026-08-01T00:57:41.178368Z","title":"Rethinking the inception architecture for computer vision","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:41.178368Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:cc5dfa228ea32698a3752d67b7575226063d23fe278b022c7f3a1bb859a3bfeb","observation_id":"ac959926-060c-4936-a211-9c71b0c0bb29","resolution":{"observed_at":"2026-08-01T00:57:41.178368Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.05729","last_updated":"2023-01-05T08:42:35Z","snapshot_observed_at":"2026-07-06T14:16:48.496031Z","submitted_at":"2022-11-10T17:56:38Z","title":"How Does Sharpness-Aware Minimization Minimize Sharpness?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.05729","snapshot_observed_at":"2026-08-01T00:57:41.279384Z","title":"How does sharpness-aware minimization minimize sharpness?, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:41.279384Z"},"links":{"cited_paper":"/paper/2211.05729","citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:59578c1c39743e056287d6121b250ad16cb96a5df78e306a113562dc21871cbf","observation_id":"23d04e4b-14b7-46c4-872c-92318ec07df3","resolution":{"observed_at":"2026-08-01T00:57:41.279384Z","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":"2026-08-01T00:57:41.352271Z","title":"PyTorch Image Models","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:41.352271Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:89973f145cc4c66e3de2c549a66662dd972c6bb17673c604b7ff8ee16f718776","observation_id":"9f8e6c13-5b67-4c5f-9b3f-c099f3b03958","resolution":{"observed_at":"2026-08-01T00:57:41.352271Z","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":"2026-08-01T00:57:41.430816Z","title":"Riemannian SAM: Sharpness-aware minimization on riemannian manifolds","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:41.430816Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:3810b56754e642a1bd65d44fff5573d8904c56876140c758608915acb8f4ca58","observation_id":"6235d4e4-1932-477c-8ed7-3e3e218e636a","resolution":{"observed_at":"2026-08-01T00:57:41.430816Z","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":"2026-08-01T00:57:41.490806Z","title":"Sharpness-aware minimization meets spectral norm","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:41.490806Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:b6a7e58fd5bda335d7b2ef640cd3684ff50ff65b72f423ef121e6ea150a75fbc","observation_id":"a5a259a6-60f2-41b2-ba36-f8cc12952bec","resolution":{"observed_at":"2026-08-01T00:57:41.490806Z","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":"2026-08-01T00:57:41.582290Z","title":"sharpness","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T00:57:41.582290Z"},"links":{"citing_paper":"/paper/2607.26001"},"observation_digest":"sha256:3e44d7e6d171ac0bc2d484219f48d256e195fd2a1fed6c12221c8d522f6687e1","observation_id":"5b802cfc-8a89-4be3-bf07-7fef5ed09797","resolution":{"observed_at":"2026-08-01T00:57:41.582290Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.26001","last_updated":"2026-07-28T17:18:11Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-04T20:25:47.135794Z","submitted_at":"2026-07-28T17:18:11Z","title":"Sharpness-Aware Minimization and Muon: Robustness under the Spectral Norm"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":39,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":40},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.26001."}