{"as_of":"2026-08-09T14:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:efe7770241ec7e9a02edd07c49dcd4f42c378e33fe274ff523121d0adbe0233c","coverage":[{"denominator":49,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":49,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T22:15:19.070381Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"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/2608.05862/citation-record","integrity":"/paper/2608.05862/integrity","json":"/paper/2608.05862/citation-record.json","paper":"/paper/2608.05862"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T22:15:18.897264Z","title":"2018, Nature, 561, 360, doi: 10.1038/s41586-018-0510-7","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.897264Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:85f9fd186675152dd779196c335e44528ee6cb2db3dfff1ac54206ba1349d312","observation_id":"6d505df0-2842-4adc-86d0-f97f9ea82b1e","resolution":{"observed_at":"2026-08-07T22:15:18.897264Z","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":"2026-08-07T22:15:18.901120Z","title":"1966, Pacific Journal of Mathematics, 16, 1, doi: 10.2140/pjm.1966.16.1","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.901120Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:460836f8c44003f9fb52fc8f47bfc0357e64d6784494a9243340324ac1d58139","observation_id":"eda15024-5092-4f3d-8471-449da7f45251","resolution":{"observed_at":"2026-08-07T22:15:18.901120Z","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":"2026-08-07T22:15:18.904445Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.904445Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:001e6a5f933e25d894f3c8e95d86125d3e371d705cef74cff1d7b8065b182c11","observation_id":"43b3fde9-386d-4e0d-84b3-a22613906c43","resolution":{"observed_at":"2026-08-07T22:15:18.904445Z","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":"2026-08-07T22:15:19.710766Z","title":"2008, Galactic Dynamics, 2nd edn","venue":null,"work_id":"cf039f57-ce16-4d62-ad26-c27ff7f1c23e","year":2008},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.908419Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:bcfabaea99a1ead7d0a9862da8ef5530d6d16de81d8936eef8257ddf4c6eb9e0","observation_id":"5c932ca1-36cb-47d7-9ff7-7b66f69a0e71","resolution":{"observed_at":"2026-08-07T22:15:19.714668Z","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":"2026-08-07T22:15:18.912467Z","title":"2013, The Astrophysical Journal, 779, 115, doi: 10.1088/0004-637X/779/2/115","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.912467Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:1de9b539d2dcd93b6e5a2a273749269656c71c346bf7cbda4b714697f453f3a9","observation_id":"5c9a8c66-2600-4e60-9a1c-09f4064be15e","resolution":{"observed_at":"2026-08-07T22:15:18.912467Z","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":"2026-08-07T22:15:18.916621Z","title":"2012, The Astrophysical Journal, 756, 89, doi: 10.1088/0004-637X/756/1/89","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.916621Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:d5e38d3ce413c7ab4137d0960f31a6239723dd1c7923d96b4578136461df5a13","observation_id":"3e93962c-3668-4bed-8ce2-137d08e65a71","resolution":{"observed_at":"2026-08-07T22:15:18.916621Z","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":"2026-08-07T22:15:18.920966Z","title":"L., Proctor, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.920966Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:eb9c04fb6f66aac748acb5a96be123625d31cfa30e6e165d7202b3c97c442a98","observation_id":"5f0399c5-53c8-4783-9124-d97b64cc5698","resolution":{"observed_at":"2026-08-07T22:15:18.920966Z","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":"2026-08-07T22:15:18.924604Z","title":"1999, SIAM Journal on Scientific Computing, 21, 792, doi: 10.1137/S106482759732678X","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.924604Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:95f0facfb119faf93c9408a292fe9b0be4c20b0f2a2edd8ba386226a701e96af","observation_id":"d344e93d-1e5b-4513-ba3c-9d1e05d1352c","resolution":{"observed_at":"2026-08-07T22:15:18.924604Z","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":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T22:15:19.652359Z","title":"2000, Experimental Mathematics, 9, 3, doi: 10.1080/10586458.2000.10504632 Cr´ ez´ e, M., Chereul, E., Bienaym´ e, O., & Pichon, C","venue":null,"work_id":"1194f084-f4ff-4d85-85b5-1fff008b7cff","year":2000},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.927815Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:37b196bf6ea2361cd9ca8b9fe3dc1cf2eb0d54cb62ccc6cff38c3cd475f6751a","observation_id":"fdd17488-4582-4169-8308-f625326499fc","resolution":{"observed_at":"2026-08-07T22:15:19.655777Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"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":"2026-08-07T22:15:18.931642Z","title":"1989, Mathematics of Control, Signals and Systems, 2, 303, doi: 10.1007/BF02551274","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.931642Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:34b6e700ae05fad9e5bbde3fdf5b47d9286d64a9bcb287d9d3c3c2104ff9a925","observation_id":"2611f6bf-c383-4414-ba02-2e46de7f1116","resolution":{"observed_at":"2026-08-07T22:15:18.931642Z","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":"2026-08-07T22:15:18.935403Z","title":"A., & Udell, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.935403Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:49b881a1421df31f76dcbe51c11a8beccf845eb4e1aa975770e2eb5a0ce41630","observation_id":"07264cac-df1f-4cd5-8f40-e1551cf52620","resolution":{"observed_at":"2026-08-07T22:15:18.935403Z","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":"2026-08-07T22:15:18.939174Z","title":"H., & Pereyra, V","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.939174Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:d9f4ba5a328d1de1101876895a1d7b7ab95905475c799d4c0d72d3275275fef6","observation_id":"1aa39932-584a-42ac-8200-c16e57de304f","resolution":{"observed_at":"2026-08-07T22:15:18.939174Z","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":"2026-08-07T22:15:18.942932Z","title":"H., & Pereyra, V","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.942932Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:ff4cc554c0195850cd5a9f750f2b2aee4f6d98c5b965799d5d7be29ee3ae82f0","observation_id":"9568ed73-3c1c-43cc-a40d-dfcd6b67d2f8","resolution":{"observed_at":"2026-08-07T22:15:18.942932Z","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":"2026-08-07T22:15:18.946532Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.946532Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:d1bae14a470170356a335ce0ab31535bc81b2f43afeb90f9e5b28021d31d76d2","observation_id":"17aec910-e677-4009-91e9-6307f07b972f","resolution":{"observed_at":"2026-08-07T22:15:18.946532Z","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":"2026-08-07T22:15:18.950183Z","title":"2024, in Advances in Neural Information Processing Systems, Vol","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.950183Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:89f9baf743e87e876df5fd21c542d8068ebdcb0031cdf5b0f23d29076c339b57","observation_id":"2c67bb26-e19d-4d99-9926-fee0a87b6c51","resolution":{"observed_at":"2026-08-07T22:15:18.950183Z","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":"2026-08-07T22:15:19.700227Z","title":"H., Littlewood, J","venue":null,"work_id":"c8809752-6ce5-49c0-ac52-e06634317829","year":1952},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.953973Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:5b346d14bf13a8c92c28d3133dd949aecda4ca7dc01c98439be85938381f4d26","observation_id":"1dc4751d-0d7b-43ec-b5ee-6c4ccae537b0","resolution":{"observed_at":"2026-08-07T22:15:19.703314Z","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":"2026-08-07T22:15:18.957057Z","title":"R., Millman, K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.957057Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:feb3f3bbd0e04c94005acdf83b1900f9d3b31ff60bc133998dc5d04d7b650891","observation_id":"94822df9-267b-4f49-aff7-2ce3a06e1d87","resolution":{"observed_at":"2026-08-07T22:15:18.957057Z","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":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T22:15:19.467512Z","title":"2000, Monthly Notices of the Royal Astronomical Society, 313, 209, doi: 10.1046/j.1365-8711.2000.02905.x","venue":null,"work_id":"321bbe14-2986-4c27-bb1e-d3bf0cf24b19","year":2000},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.960176Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:ef8921d695bb42b2a20bf2bb4d4153146766f3201e08a406b41d133e4bfb7bf8","observation_id":"7b1d5a94-c67b-4612-871b-d0de0d66697f","resolution":{"observed_at":"2026-08-07T22:15:19.471137Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"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":"2026-08-07T22:15:18.963014Z","title":"1989, Neural Networks, 2, 359, doi: 10.1016/0893-6080(89)90020-8","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.963014Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:530b66f3de18002f404e7f37226d687f687c23f53f0d766bf833cec06222ce2f","observation_id":"46aefcda-2713-49d2-882c-98b8f7c37db0","resolution":{"observed_at":"2026-08-07T22:15:18.963014Z","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":"2026-08-07T22:15:18.966000Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.966000Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:68ad6737bd2d5ead052ded92ab422f4274d599a34a18a94407ad369207a78b46","observation_id":"8c95eeda-9d95-4261-8613-531668d5d549","resolution":{"observed_at":"2026-08-07T22:15:18.966000Z","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":"10.3847/1538-4357/abfda9","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T22:15:19.294989Z","title":"I., Famaey, B., & Monari, G","venue":null,"work_id":"1ebb6253-0a6a-479e-adea-f511f903987d","year":2021},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.969759Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:dc90f969690864f56e189ad9fcde899970a4aab10bd71b85ea772005d2af4a8d","observation_id":"991a3274-6096-4d25-a64c-4387ed18cbf7","resolution":{"observed_at":"2026-08-07T22:15:19.299877Z","resolver_source":"doi","status":"verified_exact"},"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":"2026-08-07T22:15:18.974064Z","title":null,"venue":null,"work_id":null,"year":1922},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.974064Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:dc258b783c4aec8489f3ec0da3d4d5524e8524f150420e319c02ab49796a3fac","observation_id":"80dbfb11-3caf-4fa9-9e67-7d36bf34162b","resolution":{"observed_at":"2026-08-07T22:15:18.974064Z","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":"2026-08-07T22:15:18.977802Z","title":"E., Kevrekidis, I","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.977802Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:e47d9f406a04dff75854af27b5a0cf1f6b1d70cfacf802f4e4edb8602d96d2b9","observation_id":"600fdd1a-b843-434a-96cc-4be0535abfce","resolution":{"observed_at":"2026-08-07T22:15:18.977802Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-07T22:15:18.981056Z","title":"P., & Ba, J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.981056Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:4d90adb43a9dd68724503ba308fba9bac484b02c1510e496a31d06a423c45fac","observation_id":"d5d6552e-88b7-4ef1-9793-a9cdd640d4f8","resolution":{"observed_at":"2026-08-07T22:15:18.981056Z","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":"2026-08-07T22:15:18.984422Z","title":"1989, Monthly Notices of the Royal Astronomical Society, 239, 605, doi: 10.1093/mnras/239.2.605","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.984422Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:c1cb8eb117123712f5ea5e2a63b03a625709e72d1533d77274869a8fd16e0be9","observation_id":"998a4d70-adb8-4b58-92d6-07af9de56918","resolution":{"observed_at":"2026-08-07T22:15:18.984422Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.14351","last_updated":"2021-07-29T22:12:59Z","snapshot_observed_at":"2026-08-08T14:18:19.666069Z","submitted_at":"2021-07-29T22:12:59Z","title":"Contemporary Symbolic Regression Methods and their Relative Performance","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.14351","snapshot_observed_at":"2026-08-07T22:15:18.987743Z","title":"1991, The Astrophysical Journal Letters, 367, L9, doi: 10.1086/185920 La Cava, W., Orzechowski, P., Burlacu, B., et al","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.987743Z"},"links":{"cited_paper":"/paper/2107.14351","citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:7ce9fd2011ee2dbde1bc2da53fdbe85527ba05594bf074cac26eed70edec2cab","observation_id":"9c8f1af1-bfbb-4f02-9dcd-e55f7080b764","resolution":{"observed_at":"2026-08-07T22:15:18.987743Z","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":"2026-08-07T22:15:18.991245Z","title":"1944, Quarterly of Applied Mathematics, 2, 164, doi: 10.1090/qam/10666","venue":null,"work_id":null,"year":1944},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.991245Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:6bb12471a817a4b6714e7839b33e25f8a85a270466abe9f9133e6711a247b405","observation_id":"5d7a8b46-b375-4a13-ad66-a2e662034b46","resolution":{"observed_at":"2026-08-07T22:15:18.991245Z","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":"2026-08-07T22:15:19.689369Z","title":"1981, Polylogarithms and Associated Functions (New York: North-Holland) NestyNet","venue":null,"work_id":"50d40f11-35db-4aa1-a9b9-fac207698547","year":1981},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.995070Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:fb768ab01d5d60ea3ee1b40654f2e1c80cf8348154ad1859c8336d261e467920","observation_id":"15362c2f-a7a7-4283-b158-6ce71a1579b4","resolution":{"observed_at":"2026-08-07T22:15:19.692793Z","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":"2026-08-07T22:15:18.998848Z","title":"C., & Nocedal, J","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:18.998848Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:5613e0974fd95dbe81db2cd6c26bbf6d436a5f3fe3a3c13d6d3aa9802078efc2","observation_id":"a83317ed-d0cd-4fc0-808e-c06f91c47f41","resolution":{"observed_at":"2026-08-07T22:15:18.998848Z","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":"2026-08-07T22:15:19.002624Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.002624Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:642bb3708fbd0b8e49e0d8b77aca689b2b8ef795632c138a7491cc75924c101c","observation_id":"b3328ca1-5b6b-4deb-894a-2cc048d1779b","resolution":{"observed_at":"2026-08-07T22:15:19.002624Z","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":"2026-08-07T22:15:19.006277Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.006277Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:cb9bcf459046d9100c7fe9c7c5000a4235fabf3a08db6987ed939b5f07ea4f39","observation_id":"ba2298d1-fef1-4e30-bf75-d50d9fce4c6c","resolution":{"observed_at":"2026-08-07T22:15:19.006277Z","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":"2026-08-07T22:15:19.009859Z","title":"2006, SIAM Journal on Scientific Computing, 27, 1742, doi: 10.1137/040608246","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.009859Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:bffa6c05d38d70941ad8c4c3030e0d444a83618b43b1c806153e9511f408c8f8","observation_id":"f948168c-1d58-484b-9935-a35bdb91446b","resolution":{"observed_at":"2026-08-07T22:15:19.009859Z","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":"2026-08-07T22:15:19.012895Z","title":"1980, Mathematics of Computation, 35, 773, doi: 10.1090/S0025-5718-1980-0572855-7","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.012895Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:e90bac3ae1570a171606daf4814dda44a9a37f1abc6db332413a958fee8e3e8e","observation_id":"044f2200-bc9a-4e04-ae3f-9ac9f87ed37b","resolution":{"observed_at":"2026-08-07T22:15:19.012895Z","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":"2026-08-07T22:15:19.016072Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.016072Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:68fae6227ac3208de64972e2c860d833dce3db29404b509306290898f4c4853a","observation_id":"a6e4f6a5-6431-4f46-9f93-672f4ce92312","resolution":{"observed_at":"2026-08-07T22:15:19.016072Z","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":"2026-08-07T22:15:19.676996Z","title":null,"venue":null,"work_id":"b8531389-9f86-4d82-ae26-9416f7717152","year":1932},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.019676Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:d4aa60d203ff8f798331b52d4258e948138d7e55c98c476cc7e562cebf2aab79","observation_id":"37fb9a36-41f6-4831-946e-8fbf807998c1","resolution":{"observed_at":"2026-08-07T22:15:19.680861Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"1912.01703","last_updated":"2019-12-03T22:06:05Z","snapshot_observed_at":"2026-07-06T08:41:49.632205Z","submitted_at":"2019-12-03T22:06:05Z","title":"PyTorch: An Imperative Style, High-Performance Deep Learning Library","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.01703","snapshot_observed_at":"2026-08-07T22:15:19.023342Z","title":"2019, in Advances in Neural Information Processing Systems 32, 8024–8035, doi: 10.48550/arXiv.1912.01703","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.023342Z"},"links":{"cited_paper":"/paper/1912.01703","citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:199a3a366993870cae2ebf3b0f01eb70abae5d1764bc1a9c4be14e141ae46f50","observation_id":"7f519f1d-d399-4053-a41e-0fc06dfa41aa","resolution":{"observed_at":"2026-08-07T22:15:19.023342Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1201.0490","last_updated":"2018-06-05T13:41:07Z","snapshot_observed_at":"2026-07-06T02:40:18.162887Z","submitted_at":"2012-01-02T16:42:40Z","title":"Scikit-learn: Machine Learning in Python","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1201.0490","snapshot_observed_at":"2026-08-07T22:15:19.027517Z","title":"2011, Journal of Machine Learning Research, 12, 2825, doi: 10.48550/arXiv.1201.0490","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.027517Z"},"links":{"cited_paper":"/paper/1201.0490","citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:f08e1445e9c55960b5ea2d4fcb5374d7e2cd06753e96bd301094940947e10052","observation_id":"07659ccb-a39a-40da-9714-45a654c41226","resolution":{"observed_at":"2026-08-07T22:15:19.027517Z","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":"2026-08-07T22:15:19.031563Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.031563Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:39f41903b5da74f876af13cdd68ee608aa45971d8998b78c833f28b4f06c33a1","observation_id":"930e210d-ccee-45a3-b044-9a504be0aad8","resolution":{"observed_at":"2026-08-07T22:15:19.031563Z","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":"2026-08-07T22:15:19.035256Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.035256Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:6d0728bd7517e9abb8f09597c68cb03d023e11643fdbc7c0681dbf85aa50301f","observation_id":"7ff6b522-4d38-4f23-b1ec-8da8528bdfcf","resolution":{"observed_at":"2026-08-07T22:15:19.035256Z","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":"2026-08-07T22:15:19.038917Z","title":"2003, Iterative Methods for Sparse Linear Systems, 2nd edn","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.038917Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:73052cf647ef28e307fb5de8bbcd03259326557cf5ec78340181639cd9ed8ec7","observation_id":"e96d05fb-4cdb-4ac3-abb5-731050a7b45b","resolution":{"observed_at":"2026-08-07T22:15:19.038917Z","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":"2026-08-07T22:15:19.042032Z","title":"2020, Astronomy & Astrophysics, 643, A75, doi: 10.1051/0004-6361/202038535","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.042032Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:4ac5c739754237c7ff2615fecd92d06d907fec1431d886670d5186e2b7adeaf0","observation_id":"dbcd6e49-f545-4afe-baa1-440c8fcc0ff3","resolution":{"observed_at":"2026-08-07T22:15:19.042032Z","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":"2026-08-07T22:15:19.045207Z","title":"K., Machta, B","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.045207Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:7de2787b8453d949737f9b456a43e0bff384d4746ab002cd8e5f9ac91fa5cd57","observation_id":"4b95e053-22b0-4ee8-ae75-a83d50a0df45","resolution":{"observed_at":"2026-08-07T22:15:19.045207Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1201.5885","last_updated":"2012-01-27T20:40:44Z","snapshot_observed_at":"2026-07-06T02:41:53.175094Z","submitted_at":"2012-01-27T20:40:44Z","title":"Improvements to the Levenberg-Marquardt algorithm for nonlinear least-squares minimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1201.5885","snapshot_observed_at":"2026-08-07T22:15:19.048457Z","title":"K., & Sethna, J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.048457Z"},"links":{"cited_paper":"/paper/1201.5885","citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:180dfa4b761191602b0c57ae3dabe366a14921be700da71006a3b44ab0681180","observation_id":"7e60e440-40e7-4279-8ad1-316be765012e","resolution":{"observed_at":"2026-08-07T22:15:19.048457Z","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":"2026-08-07T22:15:19.052881Z","title":"2020, Science Advances, 6, eaay2631, doi: 10.1126/sciadv.aay2631","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.052881Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:4007e0ad5371826846c93a99a0f05ced1cd9c9fd53791c4ecc7cc9b06371b2ef","observation_id":"998d2f99-992a-4ee8-9a92-57d8c93ad3c4","resolution":{"observed_at":"2026-08-07T22:15:19.052881Z","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":"2026-08-07T22:15:19.056726Z","title":"E., et al","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.056726Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:4eb434be1a9bbd8998a99d0f71e6c75e06e679549ee7c8e32aa7842fff5c96d4","observation_id":"da16403e-b445-42ea-815d-64cb9dd51a01","resolution":{"observed_at":"2026-08-07T22:15:19.056726Z","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":"2026-08-07T22:15:19.061457Z","title":"2019, Astronomy & Astrophysics, 623, A30, doi: 10.1051/0004-6361/201834718","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.061457Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:627780809613fee2c7309d0cbe029422045aa67451d2e39420ba444d5b6ac558","observation_id":"63ac9459-e797-40fc-a6dd-06ce907a1473","resolution":{"observed_at":"2026-08-07T22:15:19.061457Z","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":"2026-08-07T22:15:19.664513Z","title":null,"venue":null,"work_id":"4c956fbc-050a-4df3-8a9c-676d3dbdd7e2","year":1950},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.064523Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:51babeb477100c90744e988c361b004ad572e44bb82f4f093b9583ee0b2d1175","observation_id":"e65f6aab-39b2-48b8-9074-fa6103c129a2","resolution":{"observed_at":"2026-08-07T22:15:19.668585Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-07T22:15:19.067354Z","title":"2005, Numerical Methods and Algorithms, Vol","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.067354Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:6ce960a851f72d0668ddc6d08dd41daaee14d2a3632bf298eade538a34a85b12","observation_id":"9eff75c4-c9c6-4ef3-b436-555a8f1d92bc","resolution":{"observed_at":"2026-08-07T22:15:19.067354Z","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":"2026-08-07T22:15:19.070381Z","title":"2013, The Astrophysical Journal, 772, 108, doi: 10.1088/0004-637X/772/2/108","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T22:15:19.070381Z"},"links":{"citing_paper":"/paper/2608.05862"},"observation_digest":"sha256:6d83be7c088624794d8ba9fac5358f29024a45a51fae030eaca60d6091b03283","observation_id":"a59dae1c-6db2-4a35-ac4a-25d45ec70346","resolution":{"observed_at":"2026-08-07T22:15:19.070381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.05862","last_updated":"2026-08-06T10:41:20Z","latest_version":1,"primary_category":"astro-ph.IM","snapshot_observed_at":"2026-08-09T14:11:05.732638Z","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives"},"reference_resolution":{"displayed":49,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":43,"verified_exact":3,"verified_fuzzy":3},"total_outbound_references":49},"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 9 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2608.05862."}