{"as_of":"2026-08-10T00:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5811af4cb61df67b648ed37547b87d1b1108f13d15982808d2a051f04e56be58","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T04:26:01.496011Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2608.02991/citation-record","integrity":"/paper/2608.02991/integrity","json":"/paper/2608.02991/citation-record.json","paper":"/paper/2608.02991"},"outbound":[{"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":"2026-08-08T04:26:01.448972Z","title":"arXiv preprint arXiv:2502.16982 (2025) https://doi.org/10.48550/arXiv.2502.16982","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.448972Z"},"links":{"cited_paper":"/paper/2502.16982","citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:c403d76fff3e3741b73e0f8c7804b6cfa4fdba5b9b6455bc3527ffbfe5021274","observation_id":"88faf4b3-b4d9-4ed1-9691-1dcb9fb587a4","resolution":{"observed_at":"2026-08-08T04:26:01.448972Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.17109","last_updated":"2026-06-01T06:26:48Z","snapshot_observed_at":"2026-07-06T23:28:12.114488Z","submitted_at":"2026-05-16T18:30:11Z","title":"DynMuon: A Dynamic Spectral Shaping View of Muon","version":3},"cited_work":{"arxiv_id":"2605.17109","doi":"10.48550/arxiv.2605.17109","metadata_source":"pith","pith_arxiv_id":"2605.17109","snapshot_observed_at":"2026-08-08T06:16:17.936174Z","title":"DynMuon: A Dynamic Spectral Shaping View of Muon","venue":"cs.LG","work_id":"7e29c4c5-8576-44fe-a7c6-9098ac979bf5","year":2026},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.454191Z"},"links":{"cited_paper":"/paper/2605.17109","citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:e0e3b0fe4f57429dd5f2ba6cfb90abeb759762adc72dba1b000dfa5ac1576386","observation_id":"a3e1097d-b5fd-4774-ae0b-13207d432b91","resolution":{"observed_at":"2026-08-08T04:26:01.913880Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.11181","last_updated":"2026-05-11T19:42:48Z","snapshot_observed_at":"2026-07-06T23:23:02.025664Z","submitted_at":"2026-05-11T19:42:48Z","title":"Muon is Not That Special: Random or Inverted Spectra Work Just as Well","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.11181","snapshot_observed_at":"2026-08-08T04:26:01.458335Z","title":"arXiv preprint arXiv:2605.11181 (2026) https://doi.org/10.48550/arXiv.2605.11181","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.458335Z"},"links":{"cited_paper":"/paper/2605.11181","citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:8d6f5077bcc9c716c3dbe638efbf753c9e9e2b69bfa95cf9e3cf8f1912696ab0","observation_id":"41150ff5-ef9b-4f73-8c30-410f7fbdcf49","resolution":{"observed_at":"2026-08-08T04:26:01.458335Z","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":"2026-08-08T04:26:01.462097Z","title":"arXiv preprint arXiv:2606.13867 (2026) https://doi.org/10.48550/arXiv.2606.13867","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.462097Z"},"links":{"citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:c18b8b50dd4ff20d88e037cc319f54b26bab8d3acbacf38b78a295123a8cb0a3","observation_id":"98ede1a9-0032-4272-948d-e991b76083fc","resolution":{"observed_at":"2026-08-08T04:26:01.462097Z","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":"2026-08-08T04:26:01.466556Z","title":"arXiv preprint arXiv:2602.11185 (2026) https://doi.org/10.48550/ arXiv.2602.11185","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.466556Z"},"links":{"citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:f1c65de5fd72ed5da1052e2083634bededb1e7ee568f5bae0736b803e7f49dba","observation_id":"2fd07769-3bdf-41c3-8108-19c55b51bbd9","resolution":{"observed_at":"2026-08-08T04:26:01.466556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2603.14315","last_updated":"2026-05-28T12:56:57Z","snapshot_observed_at":"2026-08-02T07:50:35.119827Z","submitted_at":"2026-03-15T10:16:40Z","title":"Enhancing LLM Training via Spectral Clipping","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2603.14315","snapshot_observed_at":"2026-08-08T04:26:01.470387Z","title":"arXiv preprint arXiv:2603.14315 (2026) https://doi.org/10.48550/arXiv","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.470387Z"},"links":{"cited_paper":"/paper/2603.14315","citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:a9269f2083747409ed7b81ef0baf4230af77bf30d01b0153f61794e41db0bd31","observation_id":"b6a5e23e-00e7-4bd3-b888-5c54b2d7e3ad","resolution":{"observed_at":"2026-08-08T04:26:01.470387Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T04:26:01.956094Z","title":"In: Interna- tional Conference on Learning Representations (2015) 17","venue":null,"work_id":"aa6887de-2d8a-48a9-8168-8e11de09369a","year":2015},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.474024Z"},"links":{"citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:47a6ea8a4aded66aa3d6c5008a25d0272e3f8cf13f23e9aa4822286edcac9653","observation_id":"6b228407-4413-4419-81a6-491e46cd6c30","resolution":{"observed_at":"2026-08-08T04:26:01.959202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.22927","last_updated":"2026-07-24T21:51:43Z","snapshot_observed_at":"2026-08-06T05:32:45.296941Z","submitted_at":"2026-07-24T21:51:43Z","title":"Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates","version":1},"cited_work":{"arxiv_id":"2607.22927","doi":"10.48550/arxiv.2607.22927","metadata_source":"pith","pith_arxiv_id":"2607.22927","snapshot_observed_at":"2026-08-08T06:16:17.936174Z","title":"Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates","venue":"cs.LG","work_id":"aa0f19a0-219b-45ff-9de3-d66982298e9e","year":2026},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.477422Z"},"links":{"cited_paper":"/paper/2607.22927","citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:1599c4ef45a2fe508ea18d6470ece140c6283addb776b23a0ca64ce216b57772","observation_id":"cc07025b-f382-4791-b9d2-1fecd819a3fe","resolution":{"observed_at":"2026-08-08T04:26:01.549187Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.07156","last_updated":"2026-07-08T08:49:23Z","snapshot_observed_at":"2026-08-07T04:25:09.271253Z","submitted_at":"2026-07-08T08:49:23Z","title":"Information Allocation Dynamics in Neural Network Optimization","version":1},"cited_work":{"arxiv_id":"2607.07156","doi":"10.48550/arxiv.2607.07156","metadata_source":"pith","pith_arxiv_id":"2607.07156","snapshot_observed_at":"2026-08-08T06:16:17.936174Z","title":"Information Allocation Dynamics in Neural Network Optimization","venue":"cs.LG","work_id":"53db7563-d757-4d5a-9e97-27b4905ab104","year":2026},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.481502Z"},"links":{"cited_paper":"/paper/2607.07156","citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:7c93e7dbe98f1778ae9ff186ff239b5963ce0e99ee27d9cfe92279851045bd28","observation_id":"e1f520c1-fc37-4cb6-8b4c-04a5a3c21252","resolution":{"observed_at":"2026-08-08T04:26:01.533828Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T04:26:01.946948Z","title":"In: Proceedings of the 32nd International Conference on Machine Learning","venue":null,"work_id":"6c3f686c-75a0-4cd8-bc7c-e2cf35c57e3d","year":2015},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.485642Z"},"links":{"citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:2d8516b453fc8683e74d817addc525b07cd96263dde3baf21031b815a301562a","observation_id":"e067d91b-4ed3-4c0f-9644-d3ca40fd9df3","resolution":{"observed_at":"2026-08-08T04:26:01.950001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T04:26:01.936906Z","title":"In: Proceedings of the 35th International Conference on Machine Learning","venue":null,"work_id":"f23d2f4d-8646-427e-8746-be4b2518ef7a","year":2018},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.488830Z"},"links":{"citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:b0dc3b9f3f2e73da2eff5a3f12a2cfc5a30c107498458cb03efb0f9abc2e37fe","observation_id":"62174ce9-ad00-4fba-833e-0b3efdbd58be","resolution":{"observed_at":"2026-08-08T04:26:01.941063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T04:26:01.928586Z","title":"In: Proceedings of the 49th Annual Meeting of the Association for Computational Linguistics: Human Language Technologies, pp","venue":null,"work_id":"acd7aa9c-685f-4f51-b01d-9513631a642f","year":2011},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.492583Z"},"links":{"citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:503ed0b44a51f79c16b592b7b314bde55effd152be362a278a7f6e558a29ce6a","observation_id":"75d56ee1-e793-42fa-83ec-4308ccad104d","resolution":{"observed_at":"2026-08-08T04:26:01.931647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T04:26:01.496011Z","title":"In: Proceedings of the 2019 Conference of the North American Chapter of the Association for Computa- tional Linguistics: Human Language Technologies, pp","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T04:26:01.496011Z"},"links":{"citing_paper":"/paper/2608.02991"},"observation_digest":"sha256:e9b25c864ffc625fe51e8c0e07f2e62edf067b3b7aed7be968515dde7d56cc01","observation_id":"9a6e3c03-e41a-4c5c-8e9b-53f3e7667c49","resolution":{"observed_at":"2026-08-08T04:26:01.496011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.02991","last_updated":"2026-08-04T01:08:33Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-09T05:10:58.270059Z","submitted_at":"2026-08-04T01:08:33Z","title":"Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":3,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":13},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.02991."}