{"as_of":"2026-08-07T23:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b153fac7208f3df873494d76d2edaf925f57302b4e4703446507418fdb73ec34","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:32:04.192151Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T13:29:51.056750Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.04454","last_updated":"2024-04-05T23:56:50Z","snapshot_observed_at":"2026-08-02T00:31:00.932110Z","submitted_at":"2024-04-05T23:56:50Z","title":"Implicit Bias of AdamW: $\\ell_\\infty$ Norm Constrained Optimization","version":1},"cited_work":{"arxiv_id":"2404.04454","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.04454","snapshot_observed_at":"2026-07-04T13:29:51.056750Z","title":"and Li, Z","venue":null,"work_id":"bce3ed2e-85c9-4af2-8202-762b2a896d0f","year":2024},"citing_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},"reference_index":211,"source":"arxiv_source","source_observed_at":"2026-05-21T21:22:36.870292Z"},"links":{"cited_paper":"/paper/2404.04454","citing_paper":"/paper/2502.07529"},"observation_digest":"sha256:1834f1ae3c264600f551774b73f23aecd3a6b5efe497c6e2b9b10aa039299b2a","observation_id":"2f4aece1-fc76-450f-87d6-e6bf21dbe1dc","resolution":{"observed_at":"2026-05-21T21:22:37.122034Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04454","last_updated":"2024-04-05T23:56:50Z","snapshot_observed_at":"2026-08-02T00:31:00.932110Z","submitted_at":"2024-04-05T23:56:50Z","title":"Implicit Bias of AdamW: $\\ell_\\infty$ Norm Constrained Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.04454","snapshot_observed_at":"2026-08-07T11:32:04.192151Z","title":"and Li, Z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.02285","last_updated":"2025-06-09T22:08:17Z","snapshot_observed_at":"2026-08-07T11:24:41.113349Z","submitted_at":"2025-06-02T21:51:04Z","title":"Why Gradients Rapidly Increase Near the End of Training","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T11:32:04.192151Z"},"links":{"cited_paper":"/paper/2404.04454","citing_paper":"/paper/2506.02285"},"observation_digest":"sha256:d9355463827b0357697b3dc24e72bd17d1b97ece155622770ef72ffec0dd2935","observation_id":"69a1258c-d2bc-4057-a133-b27204da1a16","resolution":{"observed_at":"2026-08-07T11:32:04.192151Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04454","last_updated":"2024-04-05T23:56:50Z","snapshot_observed_at":"2026-08-02T00:31:00.932110Z","submitted_at":"2024-04-05T23:56:50Z","title":"Implicit Bias of AdamW: $\\ell_\\infty$ Norm Constrained Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.04454","snapshot_observed_at":"2026-08-07T10:58:37.608722Z","title":"Implicit bias of adamw: _ norm constrained optimization, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.04192","last_updated":"2026-07-24T19:09:15Z","snapshot_observed_at":"2026-08-07T10:43:49.592801Z","submitted_at":"2025-06-04T17:39:03Z","title":"Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise","version":3},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-08-07T10:58:37.608722Z"},"links":{"cited_paper":"/paper/2404.04454","citing_paper":"/paper/2506.04192"},"observation_digest":"sha256:f3c8845b22c96c7c30dd7293c6fd1ead3d75e839edfe8aebce50c4f390b7d7d9","observation_id":"0e51809e-b2a4-45d6-a1ef-8b0c3b16a73f","resolution":{"observed_at":"2026-08-07T10:58:37.608722Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04454","last_updated":"2024-04-05T23:56:50Z","snapshot_observed_at":"2026-08-02T00:31:00.932110Z","submitted_at":"2024-04-05T23:56:50Z","title":"Implicit Bias of AdamW: $\\ell_\\infty$ Norm Constrained Optimization","version":1},"cited_work":{"arxiv_id":"2404.04454","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.04454","snapshot_observed_at":"2026-07-04T13:29:51.056750Z","title":"and Li, Z","venue":null,"work_id":"bce3ed2e-85c9-4af2-8202-762b2a896d0f","year":2024},"citing_paper":{"arxiv_id":"2506.21734","last_updated":"2025-08-04T08:45:08Z","snapshot_observed_at":"2026-08-06T13:55:12.607273Z","submitted_at":"2025-06-26T19:39:54Z","title":"Hierarchical Reasoning Model","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-15T04:58:03.283911Z"},"links":{"cited_paper":"/paper/2404.04454","citing_paper":"/paper/2506.21734"},"observation_digest":"sha256:c7bb6f1de660e24982712e6a589dfc15dbde64002c63e881dea9a82cbd2d87a9","observation_id":"83c052bb-d1d1-42c7-ab03-e2f32a984a4f","resolution":{"observed_at":"2026-05-15T04:58:03.520218Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04454","last_updated":"2024-04-05T23:56:50Z","snapshot_observed_at":"2026-08-02T00:31:00.932110Z","submitted_at":"2024-04-05T23:56:50Z","title":"Implicit Bias of AdamW: $\\ell_\\infty$ Norm Constrained Optimization","version":1},"cited_work":{"arxiv_id":"2404.04454","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.04454","snapshot_observed_at":"2026-07-04T13:29:51.056750Z","title":"and Li, Z","venue":null,"work_id":"bce3ed2e-85c9-4af2-8202-762b2a896d0f","year":2024},"citing_paper":{"arxiv_id":"2605.04418","last_updated":"2026-05-06T02:22:06Z","snapshot_observed_at":"2026-07-06T23:17:13.770090Z","submitted_at":"2026-05-06T02:22:06Z","title":"Demystifying Manifold Constraints in LLM Pre-training","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-08T17:44:44.438637Z"},"links":{"cited_paper":"/paper/2404.04454","citing_paper":"/paper/2605.04418"},"observation_digest":"sha256:ca1d8f66e1d2946cfd9e9bf6c31eec853eb6af1093ef66288462db7e00b4a1c2","observation_id":"70d3bedb-7961-485e-ae56-7cf0911f4c85","resolution":{"observed_at":"2026-05-11T17:16:08.510347Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04454","last_updated":"2024-04-05T23:56:50Z","snapshot_observed_at":"2026-08-02T00:31:00.932110Z","submitted_at":"2024-04-05T23:56:50Z","title":"Implicit Bias of AdamW: $\\ell_\\infty$ Norm Constrained Optimization","version":1},"cited_work":{"arxiv_id":"2404.04454","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.04454","snapshot_observed_at":"2026-07-04T13:29:51.056750Z","title":"and Li, Z","venue":null,"work_id":"bce3ed2e-85c9-4af2-8202-762b2a896d0f","year":2024},"citing_paper":{"arxiv_id":"2605.11172","last_updated":"2026-05-11T19:30:47Z","snapshot_observed_at":"2026-07-06T23:23:02.025664Z","submitted_at":"2026-05-11T19:30:47Z","title":"Optimistic Dual Averaging Unifies Modern Optimizers","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-13T05:52:16.805180Z"},"links":{"cited_paper":"/paper/2404.04454","citing_paper":"/paper/2605.11172"},"observation_digest":"sha256:036352a3faf73d69a6e6dd5a717b146520b3fa46a5b5740361cd64632e26bc27","observation_id":"0bf34980-5ba6-470d-b966-d5efe8dbf2b3","resolution":{"observed_at":"2026-05-13T05:52:21.860476Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04454","last_updated":"2024-04-05T23:56:50Z","snapshot_observed_at":"2026-08-02T00:31:00.932110Z","submitted_at":"2024-04-05T23:56:50Z","title":"Implicit Bias of AdamW: $\\ell_\\infty$ Norm Constrained Optimization","version":1},"cited_work":{"arxiv_id":"2404.04454","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.04454","snapshot_observed_at":"2026-07-04T13:29:51.056750Z","title":"and Li, Z","venue":null,"work_id":"bce3ed2e-85c9-4af2-8202-762b2a896d0f","year":2024},"citing_paper":{"arxiv_id":"2606.26749","last_updated":"2026-06-25T08:33:34Z","snapshot_observed_at":"2026-08-01T16:00:20.311664Z","submitted_at":"2026-06-25T08:33:34Z","title":"Structure Before Collapse: Transient semantic geometry in next-token prediction","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-06-26T05:14:07.208255Z"},"links":{"cited_paper":"/paper/2404.04454","citing_paper":"/paper/2606.26749"},"observation_digest":"sha256:c44f32409e90f2eed45826a03a9e7a1731a54ae2bf655ab42ed27aa119fe6601","observation_id":"075d5765-6874-491f-a12b-1ac78e0041a7","resolution":{"observed_at":"2026-07-04T13:29:51.058364Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2404.04454/citation-record","integrity":"/paper/2404.04454/integrity","json":"/paper/2404.04454/citation-record.json","paper":"/paper/2404.04454"},"outbound":[],"paper":{"arxiv_id":"2404.04454","last_updated":"2024-04-05T23:56:50Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-02T00:31:00.932110Z","submitted_at":"2024-04-05T23:56:50Z","title":"Implicit Bias of AdamW: $\\ell_\\infty$ Norm Constrained Optimization"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2404.04454."}