{"as_of":"2026-08-10T13:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:69da3ca5edb7bf6331734ada77334eb7bfdc9d7a5e641189fbd3e666d6fe76ce","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":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":14,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T21:23:48.754308Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":2,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-09T21:23:48.754308Z","title":"Why transformers need adam: A hessian perspective","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.19099","last_updated":"2025-05-23T12:41:11Z","snapshot_observed_at":"2026-08-10T12:35:29.487538Z","submitted_at":"2025-01-31T12:46:04Z","title":"Elucidating Subspace Perturbation in Zeroth-Order Optimization: Theory and Practice at Scale","version":2},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-08-09T21:23:48.754308Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2501.19099"},"observation_digest":"sha256:9e7b5b6f44d918c75a6d28c453c54f0f20543522aa999d9d24506bd95c39a0c2","observation_id":"df81907c-0ac0-4d38-8de6-ee71584caa04","resolution":{"observed_at":"2026-08-09T21:23:48.754308Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-09T12:21:20.598334Z","title":"Zhang, C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.02407","last_updated":"2025-02-04T15:25:47Z","snapshot_observed_at":"2026-08-09T16:18:00.285516Z","submitted_at":"2025-02-04T15:25:47Z","title":"Avoiding spurious sharpness minimization broadens applicability of SAM","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-09T12:21:20.598334Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2502.02407"},"observation_digest":"sha256:85f8a306be9de8f0334e06abd571251dfa16d4e14ff22f92fb81ffaddb313737","observation_id":"fc161233-2169-4f0d-b8b8-284dbf682f92","resolution":{"observed_at":"2026-08-09T12:21:20.598334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-08T16:20:38.454661Z","title":"Zhang, C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06244","last_updated":"2025-06-04T02:16:01Z","snapshot_observed_at":"2026-08-09T15:20:25.734420Z","submitted_at":"2025-02-10T08:23:05Z","title":"PiKE: Adaptive Data Mixing for Large-Scale Multi-Task Learning Under Low Gradient Conflicts","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-08T16:20:38.454661Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2502.06244"},"observation_digest":"sha256:364544448b9b0d5dcc7b34547922b13663dce53d3a2b727906b872f43f9c33c9","observation_id":"faaeb223-ad35-4ee3-baf9-813f5dbef9fe","resolution":{"observed_at":"2026-08-08T16:20:38.454661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-08T16:15:07.397282Z","title":"Why transformers need adam: A hessian perspective","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06268","last_updated":"2025-03-28T15:49:41Z","snapshot_observed_at":"2026-08-09T07:29:38.826457Z","submitted_at":"2025-02-10T09:07:04Z","title":"Spectral-factorized Positive-definite Curvature Learning for NN Training","version":3},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-08T16:15:07.397282Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2502.06268"},"observation_digest":"sha256:072a42183dec128b3a151a9f35310e6af909efe17b4e99cce4d99144386e7cca","observation_id":"f01a9f2a-5a2d-4ef5-a118-3ce50a59f375","resolution":{"observed_at":"2026-08-08T16:15:07.397282Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-09T14:18:05.741533Z","title":"Why transformers need adam: A hessian perspective","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06806","last_updated":"2025-07-12T07:19:28Z","snapshot_observed_at":"2026-08-10T11:55:27.582832Z","submitted_at":"2025-02-03T22:24:22Z","title":"Logits are All We Need to Adapt Closed Models","version":4},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-09T14:18:05.741533Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2502.06806"},"observation_digest":"sha256:c4a9fd1bf4b6e6ce4245bd2f5bb6cdc7a6b2fe7704cd5c804e078b7284f35039","observation_id":"b0f0bae6-34be-46d7-9b78-6e8bbece3e14","resolution":{"observed_at":"2026-08-09T14:18:05.741533Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-08T12:40:42.763594Z","title":"Why transformers need adam: A hessian perspective","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.07488","last_updated":"2025-02-11T11:48:04Z","snapshot_observed_at":"2026-08-09T07:29:37.710010Z","submitted_at":"2025-02-11T11:48:04Z","title":"Improving Adaptive Moment Optimization via Preconditioner Diagonalization","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-08T12:40:42.763594Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2502.07488"},"observation_digest":"sha256:127de5f1d2487116f593886413f137ca0d3dfe857b4eab7bd1707760ee463cd6","observation_id":"7a7411e0-c16f-4ab8-84f3-1b891eecdaa3","resolution":{"observed_at":"2026-08-08T12:40:42.763594Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-07T15:20:33.396451Z","title":"block heterogeneity","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.15624","last_updated":"2025-05-21T15:12:34Z","snapshot_observed_at":"2026-08-07T15:11:28.332416Z","submitted_at":"2025-05-21T15:12:34Z","title":"Mechanistic Insights into Grokking from the Embedding Layer","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T15:20:33.396451Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2505.15624"},"observation_digest":"sha256:9c072639e8c43a13a20730ba9a420c394faab7af24d3dcf795a7eda8098a6a0b","observation_id":"8db54ecc-4645-45b5-aa8f-62252775bc69","resolution":{"observed_at":"2026-08-07T15:20:33.396451Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-07T00:50:30.633781Z","title":"arXiv:2402.16788 [cs]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.12543","last_updated":"2025-06-14T15:37:31Z","snapshot_observed_at":"2026-08-08T23:08:34.335687Z","submitted_at":"2025-06-14T15:37:31Z","title":"Is your batch size the problem? Revisiting the Adam-SGD gap in language modeling","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T00:50:30.633781Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2506.12543"},"observation_digest":"sha256:ca088a4ee09050b28696a50fa495db3621d0f1abb0e685f27bee8125cb1d32ac","observation_id":"f7dcaf01-f68f-4aad-a8d0-86ec4ad73dc9","resolution":{"observed_at":"2026-08-07T00:50:30.633781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-04T21:12:51.314436Z","title":"Why trans- formers need Adam: A Hessian perspective.arXiv preprint arXiv:2402.16788, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.08195","last_updated":"2025-09-09T23:59:20Z","snapshot_observed_at":"2026-08-07T09:54:28.847209Z","submitted_at":"2025-09-09T23:59:20Z","title":"Sketched Gaussian Mechanism for Private Federated Learning","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T21:12:51.314436Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2509.08195"},"observation_digest":"sha256:a8b2d1fc23cb9fa16198fb1be582941149ba424827dfb87442824c905dfdd4e5","observation_id":"97ac1617-c7de-4a19-8d93-597025ab19dd","resolution":{"observed_at":"2026-08-04T21:12:51.314436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":"2402.16788","doi":"10.48550/arxiv.2402.16788","metadata_source":"arxiv_reference","pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Yuan, J., Xie, F., Nie, F., and Li, X","venue":"arXiv (Cornell University)","work_id":"1dbea7ce-1a30-4c1b-a952-af4d80f6c7e0","year":2024},"citing_paper":{"arxiv_id":"2602.13759","last_updated":"2026-05-09T09:50:20Z","snapshot_observed_at":"2026-07-06T22:45:53.926021Z","submitted_at":"2026-02-14T13:09:29Z","title":"Discrete Double-Bracket Flows for Isotropic-Noise Invariant Eigendecomposition","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-15T22:09:36.352687Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2602.13759"},"observation_digest":"sha256:3bf873cef454231c5add667b6df4ff8b7ccd47a6b5ced30098795f9a0b165076","observation_id":"5cbdf9aa-50f7-4eac-b4b9-31c8fcf14700","resolution":{"observed_at":"2026-05-15T22:10:21.398194Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":"2402.16788","doi":"10.48550/arxiv.2402.16788","metadata_source":"arxiv_reference","pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Yuan, J., Xie, F., Nie, F., and Li, X","venue":"arXiv (Cornell University)","work_id":"1dbea7ce-1a30-4c1b-a952-af4d80f6c7e0","year":2024},"citing_paper":{"arxiv_id":"2604.09391","last_updated":"2026-04-10T15:06:50Z","snapshot_observed_at":"2026-08-08T11:15:18.080351Z","submitted_at":"2026-04-10T15:06:50Z","title":"Efficient Unlearning through Maximizing Relearning Convergence Delay","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-10T16:37:24.974659Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2604.09391"},"observation_digest":"sha256:d37e3f0fd6b475febc4a7fc1e8e607c029b7cce20dde1fd97f51ea8ea4e843b5","observation_id":"7128c717-f411-4951-83a2-be0164d02693","resolution":{"observed_at":"2026-05-11T08:30:56.607731Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":"2402.16788","doi":"10.48550/arxiv.2402.16788","metadata_source":"arxiv_reference","pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Yuan, J., Xie, F., Nie, F., and Li, X","venue":"arXiv (Cornell University)","work_id":"1dbea7ce-1a30-4c1b-a952-af4d80f6c7e0","year":2024},"citing_paper":{"arxiv_id":"2605.06654","last_updated":"2026-05-07T17:57:02Z","snapshot_observed_at":"2026-07-06T23:19:05.764765Z","submitted_at":"2026-05-07T17:57:02Z","title":"Optimizer-Model Consistency: Full Finetuning with the Same Optimizer as Pretraining Forgets Less","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-08T12:00:49.127471Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2605.06654"},"observation_digest":"sha256:271c59cc1aaf041ae9f36c14ce96f9b1665fea23f779fa9c8a0a79c860de1478","observation_id":"b7dff74f-a846-48eb-8e76-8b915e9acffc","resolution":{"observed_at":"2026-05-11T19:26:08.489778Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":"2402.16788","doi":"10.48550/arxiv.2402.16788","metadata_source":"arxiv_reference","pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Yuan, J., Xie, F., Nie, F., and Li, X","venue":"arXiv (Cornell University)","work_id":"1dbea7ce-1a30-4c1b-a952-af4d80f6c7e0","year":2024},"citing_paper":{"arxiv_id":"2605.28585","last_updated":"2026-05-27T15:09:02Z","snapshot_observed_at":"2026-08-07T06:12:39.413721Z","submitted_at":"2026-05-27T15:09:02Z","title":"Outer-Momentum Restarting in High-Dimensional Two-Phase Optimization","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-29T13:31:23.664332Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2605.28585"},"observation_digest":"sha256:fada66388bfba9df0325ccac6b7cf0a413874866fb1fb60026a59ded42223996","observation_id":"d0dc2a73-7031-442c-beff-09a41801da42","resolution":{"observed_at":"2026-06-29T13:33:27.479444Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16788","snapshot_observed_at":"2026-08-02T01:58:59.068392Z","title":"Why transformers need adam: A hessian perspective.ArXiv, abs/2402.16788,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.14536","last_updated":"2026-07-16T03:42:21Z","snapshot_observed_at":"2026-08-05T09:35:42.737107Z","submitted_at":"2026-07-16T03:42:21Z","title":"Muse: Representation Geometry of Muon Beyond Normalized Momentum","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-02T01:58:59.068392Z"},"links":{"cited_paper":"/paper/2402.16788","citing_paper":"/paper/2607.14536"},"observation_digest":"sha256:70bc87d8c533eb2ccbbcb4daa97ea6153eb0f89582c8056272585e6383119011","observation_id":"c55a9958-41fd-4dfa-9b49-0fb8d195c6b7","resolution":{"observed_at":"2026-08-02T01:58:59.068392Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2402.16788/citation-record","integrity":"/paper/2402.16788/integrity","json":"/paper/2402.16788/citation-record.json","paper":"/paper/2402.16788"},"outbound":[],"paper":{"arxiv_id":"2402.16788","last_updated":"2024-10-21T08:27:23Z","latest_version":4,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T17:35:41.168780Z","submitted_at":"2024-02-26T18:01:41Z","title":"Why Transformers Need Adam: A Hessian Perspective"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2402.16788."}