{"as_of":"2026-08-09T06:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8d2e6b2a807ad4902c7747683068accf2b61567bca74567956a4ca3ce4efffd7","coverage":[{"denominator":67,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":67,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T23:46:15.626402Z","state":"measured"},{"denominator":67,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":67,"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/2608.05777/citation-record","integrity":"/paper/2608.05777/integrity","json":"/paper/2608.05777/citation-record.json","paper":"/paper/2608.05777"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.358203Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.358203Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:01077a3f8b07dbdd31bd7a3af8269898e32cdaed85409cbcd2c91e0963f00350","observation_id":"0879d73b-a6e6-4dd6-bbd1-eaf329abea5f","resolution":{"observed_at":"2026-08-07T23:46:15.358203Z","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":"2026-08-07T23:46:18.145961Z","title":"Bessler, and Rainer Gasper","venue":null,"work_id":"79e9526b-318d-4bd4-b197-80f9101295c7","year":2022},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.363041Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:39588266641ba630421d11ea5d588304215b141882107294af1bdbd770ff980a","observation_id":"4bec9536-cb99-423c-8bce-870bc96871e3","resolution":{"observed_at":"2026-08-07T23:46:18.149791Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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":"10.1007/s10928-022-09805-z","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:18.134112Z","title":"Androulakis, Peter Bonate, Limei Cheng, Tomáš Helikar, Jaimit Parikh, Christopher Rackauckas, Kalyanasundaram Subramanian, Carolyn R","venue":null,"work_id":"b6db8450-4a54-4956-a357-d5c9f0b79d71","year":2022},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.367580Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:813788b0cc2c645ca21a507eb2e927a8ca05303df1c920bbdc1b662ae531e188","observation_id":"317600b9-c9c3-448d-ba51-046bdb27003e","resolution":{"observed_at":"2026-08-07T23:46:18.138186Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:18.122081Z","title":"Levine, Dessi P","venue":null,"work_id":"a5ebb05d-b760-4626-b589-8d53ce758134","year":2024},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.372214Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:35a764a474f1d1aa6c1f5bb8cc401f6a46b8da7d678c81fb096cb0fd1cbd7175","observation_id":"9503f113-5c66-4155-90be-ef6e891cc6ed","resolution":{"observed_at":"2026-08-07T23:46:18.126046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.04385","last_updated":"2021-11-02T12:06:44Z","snapshot_observed_at":"2026-08-08T03:57:24.280922Z","submitted_at":"2020-01-13T16:40:35Z","title":"Universal Differential Equations for Scientific Machine Learning","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.04385","snapshot_observed_at":"2026-08-07T23:46:15.376639Z","title":"Universal Differential Equations for Scientific Machine Learning, November 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.376639Z"},"links":{"cited_paper":"/paper/2001.04385","citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:d33be1b19ac95127cad2003e03226dbc54817ea559bd7e0eafe15c05a18e5944","observation_id":"a4e08a51-0c4e-4c89-9801-ee404de2cf62","resolution":{"observed_at":"2026-08-07T23:46:15.376639Z","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":"10.1038/s41540-025-00570-6","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.873619Z","title":null,"venue":null,"work_id":"7e2b140d-2ac4-429d-b08b-f1da8f4eda4b","year":2025},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.381598Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:55a3e05bdd8255d1d936a522e88944a6ed5605d9432779c41ad5f46b67031a04","observation_id":"49bb4857-475a-4762-8f1d-01b8a5e48b85","resolution":{"observed_at":"2026-08-07T23:46:15.877723Z","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":{"arxiv_id":"2505.21204","last_updated":"2025-05-27T13:52:23Z","snapshot_observed_at":"2026-08-07T13:30:40.346007Z","submitted_at":"2025-05-27T13:52:23Z","title":"Developing hybrid mechanistic and data-driven personalized prediction models for platelet dynamics","version":1},"cited_work":{"arxiv_id":"2505.21204","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.21204","snapshot_observed_at":"2026-08-07T23:46:17.809467Z","title":"Developing hybrid mechanistic and data-driven personalized prediction models for platelet dynamics","venue":"cs.LG","work_id":"dabd3855-c89f-49ee-ba47-1b9bdc34aae7","year":2025},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.386624Z"},"links":{"cited_paper":"/paper/2505.21204","citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:e1eff643f60908b4ecae82f7b3e9f32afd7f513e58e39b5c1c42c1f4f9cf32b7","observation_id":"e31d3be8-ad9a-4fbc-bd6d-04de3e325f51","resolution":{"observed_at":"2026-08-07T23:46:17.813975Z","resolver_source":"local_arxiv","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":"2026-08-07T23:46:15.391268Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.391268Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:38a966ce38338c78cf4c5a0ac596f00d914286ad914d651d4b5e6f8d3f7cdf18","observation_id":"b85c7254-f64c-451e-b669-af8e9b0b319a","resolution":{"observed_at":"2026-08-07T23:46:15.391268Z","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":"2026-08-07T23:46:18.110324Z","title":"Inte- grating Expert ODEs into Neural ODEs: Pharmacology and Disease Progression","venue":null,"work_id":"86a55204-3cbc-4036-94df-3ee63704a4d0","year":2021},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.395549Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:51fd510c2952a0b9cb8eca0612d6b5fc5891827b1127be2ef3046d653ad8840f","observation_id":"d7e4b347-c1d3-4f02-a4de-35e8155a5b1b","resolution":{"observed_at":"2026-08-07T23:46:18.114290Z","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":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.792300Z","title":"Neural-ODE for pharmacokinetics modeling and its advantage to alternative machine learning models in predicting new dosing regimens.iScience, 24(7):102804, July 2021","venue":null,"work_id":"ff91421f-f92c-465c-95b2-bc4eacda48b8","year":2021},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.399660Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:8e12151a12bfbc3ca754bb2612f632e0353ec225ed04ea9225ddc3700c050b61","observation_id":"843dc441-b289-493c-8802-94605581b493","resolution":{"observed_at":"2026-08-07T23:46:17.796602Z","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":"2026-08-07T23:46:15.403835Z","title":"Low- dimensional neural ODEs and their application in pharmacokinetics.Journal of Pharma- cokinetics and Pharmacodynamics, 51(2):123–140, April 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.403835Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:ec6f8506cfb25c5f515c21d87344cc28ff668b42add2e21f0c6155564a819669","observation_id":"412f8088-9147-42f8-ae82-5f9a6c8d8d03","resolution":{"observed_at":"2026-08-07T23:46:15.403835Z","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":"2026-08-07T23:46:17.625335Z","title":"A Machine Learning-Aided Global Diagnostic and Comparative Tool to Assess Effect of Quarantine Control in COVID-19 Spread","venue":null,"work_id":"11b03f2a-d40b-44da-bdab-52909c80ed48","year":2020},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.408236Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:7f90262b848d1e4bbab4a4741abbd50dc15ea784e3cf5756045332fb92a64f1b","observation_id":"2e2bd17c-72e6-4c82-a038-a83ae469d9ee","resolution":{"observed_at":"2026-08-07T23:46:17.629382Z","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":"10.1038/s41467-024-55461-x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.846157Z","title":"Singer, Seyed M","venue":null,"work_id":"aeda361f-a0d5-4ba0-8d34-cbf61807b8e6","year":2025},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.412204Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:a423307a5de199a2913261fa6f0931ba0d3e37c811766100f468b8f8cf402bd8","observation_id":"23065783-1e51-49dd-9d38-c05d83e99b2a","resolution":{"observed_at":"2026-08-07T23:46:15.850502Z","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":"2602.21588","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.425900Z","title":"Nguyen, Alan Edelman, Erin C","venue":null,"work_id":"eb0842d7-87e9-40d4-9ca9-92eb4ce8aafd","year":2026},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.416350Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:8080e9f8fe5fa78443e65a52caf7ec79f3186a662201a94d60e3970d26b049f8","observation_id":"d17403ef-0be5-4453-9fc6-425c8a185955","resolution":{"observed_at":"2026-08-07T23:46:17.432414Z","resolver_source":"arxiv_id","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":"2026-08-07T23:46:15.420371Z","title":"NeuralFMU: Presenting a Workflow for Integrating Hybrid NeuralODEs into Real-World Applications.Electronics, 11(19):3202, January 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.420371Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:17f88cda0763ff3f916555adbf60f729ceea495ddce684104d75d8c75887c57c","observation_id":"024f5946-356a-457f-831d-03ef8af23f05","resolution":{"observed_at":"2026-08-07T23:46:15.420371Z","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":"2026-08-07T23:46:18.097761Z","title":"Homotopy-based training of NeuralODEs for accurate dynamics discovery.Advances in Neural Information Processing Systems, 36:64725–64752, December 2023","venue":null,"work_id":"16fae9fb-1847-424d-8238-620e93349bb4","year":2023},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.424406Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:726b9cf6a6d97aa3cae92ef9a21f5589f094c2a91371592a28d572f39af1446c","observation_id":"b8f2e0d5-5c41-4fbb-bf89-b14a4e62bb5c","resolution":{"observed_at":"2026-08-07T23:46:18.101813Z","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":"2026-08-07T23:46:15.428388Z","title":"Current state and open problems in universal differential equations for systems biology.npj Systems Biology and Applications, 11(1):101, August 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.428388Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:5fd3ebe6f78186f1d2713613f842a99188ecfd3ba8247b29b5ded73b119d9ef3","observation_id":"db869a2a-0c92-4a00-8d8c-39fafa3bab9b","resolution":{"observed_at":"2026-08-07T23:46:15.428388Z","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":"2026-08-07T23:46:18.085741Z","title":"Ode to an ODE","venue":null,"work_id":"9b7daa61-a89c-4047-9be8-83f3d0f8fd25","year":2020},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.432319Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:41ede5f2d452c7f4d8b3b964ea4f36bfd451040b90be14279d2c4cd9d4d1aa5d","observation_id":"83caafab-1479-4e46-b32d-d8a9074f6bbf","resolution":{"observed_at":"2026-08-07T23:46:18.089869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:18.071852Z","title":"How to Train Your Neural ODE: the World of Jacobian and Kinetic Regularization","venue":null,"work_id":"485e21d3-88d9-441b-be69-06b23ab6f6d6","year":2020},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.436089Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:1acb8bc328b73eb21f24f4a199de9f72e953c10d6664904c0216f1272667db39","observation_id":"e93f0c55-920e-4f08-a61b-cc019de25fc3","resolution":{"observed_at":"2026-08-07T23:46:18.077072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:18.059652Z","title":"LyaNet: A Lyapunov Framework for Training Neural ODEs","venue":null,"work_id":"3c65ea29-1a9e-42af-8161-5c04d5d5b2a7","year":2022},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.440137Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:ceb40fa729547205f2574a68f352d0c7ee55853e7a9f72a0e57dc5f3362fc2f5","observation_id":"4cf367e9-d56b-4fe7-8181-3ea91d52fbf0","resolution":{"observed_at":"2026-08-07T23:46:18.063715Z","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":"10.1016/j.ifacol.2024.10","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.818319Z","title":"Non- Negative Universal Differential Equations With Applications in Systems Biology.IFAC- PapersOnLine, 58(23):25–30, January 2024","venue":null,"work_id":"46c88dce-5b26-4d9c-bf02-a2ebf21ecb98","year":2024},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.444086Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:ab39888b55d8e9b91c8ffdf2ba8fcac4bfd8616b50c3914d2df413fa31848eed","observation_id":"8d968001-7a7d-4bb4-852e-1f5261fee065","resolution":{"observed_at":"2026-08-07T23:46:15.822857Z","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":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.185807Z","title":"FxTS-Net: Fixed-time stable learning framework for Neural ODEs.Neural Networks, 185:107219, May 2025","venue":null,"work_id":"3827cc82-bf2b-4778-b5ea-bbc41a2fe0aa","year":2025},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.448090Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:8cdd29e548afeda8ed245e088d0d684574e4d44797ea70e6795ef870afd7beb8","observation_id":"e67a0aaa-e9a6-4500-9daa-dbc50f3c3e9c","resolution":{"observed_at":"2026-08-07T23:46:17.190439Z","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":"10.1515/sagmb-2020-0025","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.806169Z","title":null,"venue":null,"work_id":"9c662219-7d29-490c-a0ad-1001d7c7e7cd","year":2021},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.452018Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:618d42199cdb8793d6d886d6beb78b8c9de90eba2bf964417a3515f79e8f6490","observation_id":"a0a234a0-f8e2-4e37-860b-e9d8559a7fbb","resolution":{"observed_at":"2026-08-07T23:46:15.810242Z","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":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.003490Z","title":"Multiple Shooting for Training Neural Differential Equations on Time Series.IEEE Control Systems Letters, 6:1897–1902, 2022","venue":null,"work_id":"e62ec588-71fa-430c-8d02-85f34f950868","year":1902},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.456096Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:f2c6b74017562d61ec402950ea8d6ab384159b9fb60480e8d1b10d015b54c6d8","observation_id":"095f830f-32e5-4b78-8c42-1af03510661b","resolution":{"observed_at":"2026-08-07T23:46:17.007870Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:18.046482Z","title":"DiffEqFlux.jl - A Julia Library for Neural Differential Equations, February 2019","venue":null,"work_id":"68fe99b2-8903-43d1-b0a9-3f5efe2c0b97","year":2019},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.460088Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:5543f200ec6cd49b9b508663016c44aad81b6f338756ecca593f2c9fddff021a","observation_id":"befe0c60-b939-4e03-9372-2bf207ee08e3","resolution":{"observed_at":"2026-08-07T23:46:18.050637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:18.034382Z","title":null,"venue":null,"work_id":"cdf5471c-2bc5-42df-bb7b-b7731c2fd391","year":2008},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.463911Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:edf3fb5d1719af902d0a7d7f31643d372a1bb1e91eec3a87570b1aff8321b3b4","observation_id":"b821f1a6-79f9-4dc7-80b0-857cd000842c","resolution":{"observed_at":"2026-08-07T23:46:18.038341Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:18.021621Z","title":"Benchmark problems for dynamic modeling of intracellular processes.Bioinformatics, 35(17):3073–3082, September 2019","venue":null,"work_id":"a0055a5c-6774-4f25-a7f8-79e9fc20d087","year":2019},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.467735Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:f7c8f08b3376ee339896f0354635d4bf5c3e53ca0c84e835e8133b04a7f91bac","observation_id":"ff66e582-7324-47ee-9d6c-81699f4ca3b4","resolution":{"observed_at":"2026-08-07T23:46:18.026042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:18.007934Z","title":"Augmented Neural ODEs","venue":null,"work_id":"026808c4-4867-4b2e-9f65-1fd99021307a","year":2019},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.471865Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:b8a30a462563534df22e95cc01bbee6aafbfb6af4c478bcbff42b7d7e0541e93","observation_id":"5ae0ed4e-73a6-4ff1-9711-371d89d51094","resolution":{"observed_at":"2026-08-07T23:46:18.012503Z","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":"2026-08-07T23:46:15.475665Z","title":"Harms, Fabian J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.475665Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:d2c14dca28009119e0426c1dd569d8cf3e72526163301aaff5e17471bd16ff4a","observation_id":"8dff8d05-2c7b-4e3d-bae2-d90984b6dadb","resolution":{"observed_at":"2026-08-07T23:46:15.475665Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.479651Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.479651Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:1076b6b2078522ef5da72b3aaab86304a8a3e226541f3a59dab29788cb117cc6","observation_id":"840b3563-41da-49bf-92d2-73a5d986126f","resolution":{"observed_at":"2026-08-07T23:46:15.479651Z","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":"2026-08-07T23:46:15.483588Z","title":"Prediction error estimation methods.Circuits, Systems and Signal Processing, 21(1):11–21, January 2002","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.483588Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:a5da40761ba6d25b8ddac1282a79201ef719ac94e852ab1b65928c7cc554f239","observation_id":"994ff4a7-910d-48c5-bd02-0470c3cd9384","resolution":{"observed_at":"2026-08-07T23:46:15.483588Z","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":"10.1137/090749761","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.772185Z","title":null,"venue":null,"work_id":"4c34debf-6fa2-4a71-960c-1d71a21c2434","year":2009},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.487550Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:0766088f808485cbb8d6f1248b8505c7c1dbe048541ffa55d665e7116ef85960","observation_id":"2bf533c6-5111-43fe-a970-b54769aeab27","resolution":{"observed_at":"2026-08-07T23:46:15.775873Z","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":"10.1088/1742-5468/ac3ae5","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.760126Z","title":"Augmenting physical models with deep networks for complex dynamics forecasting*.Journal of Statistical Mechanics: Theory and Experiment, 2021(12): 124012, December 2021","venue":null,"work_id":"2200f95f-e7b0-4a9e-8802-e077a6b803de","year":2021},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.491604Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:5076f0c36f1dc9521df59053f006f5ca4871503f52ed34797a17073dc7ce9b83","observation_id":"29ac8209-3e60-441b-9aa5-ec73a048a7b6","resolution":{"observed_at":"2026-08-07T23:46:15.764161Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.994353Z","title":"Sparsity in Continuous-Depth Neural Networks.Advances in Neural Information Processing Systems, 35:901–914, December 2022","venue":null,"work_id":"3d8f7e2a-f0a7-46d2-8a84-73ee82185ae9","year":2022},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.495590Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:e25154cb042d9d9520f508f6d818d5deca4e873a59a550af728200cb53f83dde","observation_id":"e6bb257d-13ea-4a7e-b084-5f8d1de2dcb6","resolution":{"observed_at":"2026-08-07T23:46:17.998640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.981763Z","title":"Hamiltonian Neural Networks","venue":null,"work_id":"5ad7306b-9066-4e99-9d29-32e4799f87ed","year":2019},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.499489Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:41b4b31fb51b99e8254a79eb988d0c0359774e4db6f63d735fcc84bc95d12413","observation_id":"81b338f8-7ac5-4fdc-9206-d8c316c4dd35","resolution":{"observed_at":"2026-08-07T23:46:17.985688Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.13420","last_updated":"2020-07-31T00:28:12Z","snapshot_observed_at":"2026-08-08T04:11:13.320686Z","submitted_at":"2020-05-27T15:28:11Z","title":"Discretize-Optimize vs. Optimize-Discretize for Time-Series Regression and Continuous Normalizing Flows","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.13420","snapshot_observed_at":"2026-08-07T23:46:15.503522Z","title":"Discretize-Optimize vs","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.503522Z"},"links":{"cited_paper":"/paper/2005.13420","citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:ebf308914b948b3a75c34018973256316e507b89c8b9f6fc3463bbe127e044f2","observation_id":"c177f020-d0ea-4d32-9f86-e2ea2c87eaea","resolution":{"observed_at":"2026-08-07T23:46:15.503522Z","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":"10.1063/5.0060697","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.747640Z","title":"Stiff neural ordinary differential equations.Chaos: An Interdisciplinary Journal of Nonlinear Science, 31 (9), September 2021","venue":null,"work_id":"9065a1ae-31eb-42f0-a3ef-fa9a217e2f45","year":2021},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.507819Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:734e03b9c3f4c036c916f1e68931977e949c1a346806f18f8a27bed567f3a0ff","observation_id":"7264f889-3827-448d-8903-3d4d19978fca","resolution":{"observed_at":"2026-08-07T23:46:15.751927Z","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":{"arxiv_id":"2202.02435","last_updated":"2022-02-04T23:32:29Z","snapshot_observed_at":"2026-08-08T19:36:06.028788Z","submitted_at":"2022-02-04T23:32:29Z","title":"On Neural Differential Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.02435","snapshot_observed_at":"2026-08-07T23:46:15.511875Z","title":"On Neural Differential Equations, February 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.511875Z"},"links":{"cited_paper":"/paper/2202.02435","citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:fab7900bb4bb3fc6360cd4592172d695ae17141a90c01790b8a77408d8a90a1b","observation_id":"b54cb0b7-3386-48f3-8ec4-a760f9fdfa3a","resolution":{"observed_at":"2026-08-07T23:46:15.511875Z","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":"2026-08-07T23:46:15.517253Z","title":"Differentiable Programming for Differential Equations: A Review, October 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.517253Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:728599797cad6e682aefedadc7a6897b60e0a37c8c921b642cdb94b184b91e19","observation_id":"79e6dc21-4f31-4bd3-b620-86d76cb090d6","resolution":{"observed_at":"2026-08-07T23:46:15.517253Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.13820","last_updated":"2026-04-15T12:52:49Z","snapshot_observed_at":"2026-07-06T23:01:46.092000Z","submitted_at":"2026-04-15T12:52:49Z","title":"Stable Long-Horizon Neural ODE Reduced-Order Models via Learned Feedback for Biological Growth and Remodeling","version":1},"cited_work":{"arxiv_id":"2604.13820","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.13820","snapshot_observed_at":"2026-08-07T23:46:16.621672Z","title":"Stable Long-Horizon Neural ODE Reduced-Order Models via Learned Feedback for Biological Growth and Remodeling","venue":"cs.CE","work_id":"9975dee9-a72e-4a5d-88ae-069bc7b4da9b","year":2026},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.521151Z"},"links":{"cited_paper":"/paper/2604.13820","citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:5171d41a90914b5a7ee12ac2ccd6a457ac87e8a2a85b901ee99e91a687c07efc","observation_id":"87d446e2-f73a-49c8-b7ad-d49bf29fc2d5","resolution":{"observed_at":"2026-08-07T23:46:16.625971Z","resolver_source":"local_arxiv","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.969172Z","title":"CRC Press, November 2001","venue":null,"work_id":"3da2beab-a408-4092-bda4-345a161e58b3","year":2001},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.525527Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:787918ee3a47351ccc4180f61b5b91dac442ed45975d23b33a03dcd52c151749","observation_id":"4671ff87-e13d-40ae-af37-5624d9bb7b7f","resolution":{"observed_at":"2026-08-07T23:46:17.973368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.956669Z","title":"Hernandez-Vargas","venue":null,"work_id":"b6a76e72-e6f5-49f6-a04a-b7db2d73e1be","year":2024},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.529405Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:32adcc3ff377a1e32b99c605e1ecb2f3a5e9025921cada49f69afbdd27c9b7e4","observation_id":"605b585e-501f-4709-8f2e-110be05adc67","resolution":{"observed_at":"2026-08-07T23:46:17.960768Z","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":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:16.604902Z","title":"Curriculum learning","venue":null,"work_id":"6047bf64-b2f9-4339-9b2e-032a9da3caa9","year":2009},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.533423Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:cd67f3d5fd2eb456f162758c9b68053a0d6f4685545a73d524aa2495429972a4","observation_id":"6f5d6768-e17a-4430-a54c-596bea0a12ae","resolution":{"observed_at":"2026-08-07T23:46:16.608779Z","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":"2026-08-07T23:46:15.537568Z","title":"Curriculum Learning: A Survey.International Journal of Computer Vision, 130(6):1526–1565, June 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.537568Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:da30ab83d4361a32d405cf967c41ca21fe1da5b1e20d37b8de9658b40d8adec3","observation_id":"e2d12d23-8183-4aee-a11a-9bd6b956b4e2","resolution":{"observed_at":"2026-08-07T23:46:15.537568Z","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":"2026-08-07T23:46:16.457797Z","title":"Ribeiro, Koen Tiels, Jack Umenberger, Thomas B","venue":null,"work_id":"730e25f7-cbe2-429c-86f5-4ee58424d3da","year":2020},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.541722Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:88258c4a49e1c7a2667f8e61efef608e09c7a7cbefe2d71cbdc515afc371975e","observation_id":"bc344ede-059c-4738-bf21-83ef4430ec5e","resolution":{"observed_at":"2026-08-07T23:46:16.462515Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.943574Z","title":"Differentiable Multiple Shooting Layers","venue":null,"work_id":"c5bdebf4-6140-4a9f-9571-e681c8cedc19","year":2021},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.545245Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:5e849e2291eb094479ea123fd72eb5740710361253d44fdd93f00315f2941903","observation_id":"0b2ceb53-311d-4121-8160-aa511ab80cb5","resolution":{"observed_at":"2026-08-07T23:46:17.947814Z","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":"2026-08-07T23:46:15.549181Z","title":"Bergmann, Tacio Camba, Erika Dudkin, Janine Egert, Fabian Fröhlich, Lara Fuhrmann, Adrian L","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.549181Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:dab1cc03e5b0df2af45f24b7f45b6fa3165e784b8685cf4748b08ab37c237db7","observation_id":"62e7dbe1-bca6-447d-9768-e2d587b2ae4b","resolution":{"observed_at":"2026-08-07T23:46:15.549181Z","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":"10.1093/bioinformatics/btaf497","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.728079Z","title":"PEtab.jl: advancing the efficiency and utility of dynamic modelling.Bioinformatics, 41(9):btaf497, September 2025","venue":null,"work_id":"f68fc8df-b255-4b1e-b102-4f8c2613fc02","year":2025},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.552830Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:5810e5f882eba98a2aa0b1a2b21dfce0240c3b309f438916cdfaedf44b997792","observation_id":"eb2c7a28-06ef-46e2-a34f-4b56625677ef","resolution":{"observed_at":"2026-08-07T23:46:15.731956Z","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":"10.1186/s12859-019-2630-y","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.715849Z","title":null,"venue":null,"work_id":"d288287a-2279-4065-b5b5-8a8263ca541d","year":2019},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.556653Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:a49df260a5786a4313c65c852602b83eb533690939c66fe42c4e318737d04441","observation_id":"c22833ef-a2fc-418b-a792-5e61b535b45e","resolution":{"observed_at":"2026-08-07T23:46:15.719380Z","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":"2026-08-07T23:46:15.560554Z","title":"Distilling Free-Form Natural Laws from Experimental Data","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.560554Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:ca0a6b09229f34727f07c107d74200f4210b8ca63404b1efd421a1806da8b0cb","observation_id":"1a2ef600-02f9-43dc-8e28-fa979d4d3767","resolution":{"observed_at":"2026-08-07T23:46:15.560554Z","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":"2026-08-07T23:46:17.922659Z","title":"A Simple Sequentially Rejective Multiple Test Procedure.Scandinavian Journal of Statistics, 6(2):65–70, 1979","venue":null,"work_id":"0c8b7118-7210-43a8-b06e-4c4d04aface4","year":1979},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.564414Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:43309faecd9c6a4f9087ec8d26d1460bee952f8766307c27fbf05392e388da59","observation_id":"9206bde1-8a45-411b-8b42-ad81fade7651","resolution":{"observed_at":"2026-08-07T23:46:17.927250Z","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":"2026-08-07T23:46:15.568390Z","title":"Kingma and Jimmy Ba","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.568390Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:f1ae7843fa751a8c260c8bc2326bc34da130a5fd3c01ce90f7d0c44d37ea4de1","observation_id":"f0c9b442-de83-43d8-afea-df0708102d28","resolution":{"observed_at":"2026-08-07T23:46:15.568390Z","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":"2026-08-07T23:46:17.901162Z","title":"Challenges in Training PINNs: A Loss Landscape Perspective","venue":null,"work_id":"bfa32242-075d-43c8-9664-e4a1a37e977d","year":2024},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.576498Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:3ff24c82a43d85261c29f4afb1f33c77228a84b42f0976d90ed552d47c8686a0","observation_id":"5eecfaf0-ac5a-4611-91e7-1eafc51b81ce","resolution":{"observed_at":"2026-08-07T23:46:17.905469Z","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":"2026-08-07T23:46:15.580338Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.580338Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:a1d00486dfe639049cbe4f597708cf5d84d9e925b94f8bbab4ff06c590f75ccb","observation_id":"742ead4a-6ecd-4334-b5a8-69b0485d1d32","resolution":{"observed_at":"2026-08-07T23:46:15.580338Z","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":"2026-08-07T23:46:16.283253Z","title":null,"venue":null,"work_id":"a9e7e899-6534-4dfc-8515-e39125a474fe","year":2020},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.584190Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:f4892663d8543d54e8fd640acab4fcbae14b78beca69a7781d00a9ba28e0fee6","observation_id":"7dda7b82-2b37-499e-8501-393440196740","resolution":{"observed_at":"2026-08-07T23:46:16.287660Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.887293Z","title":"Dissect- ing Neural ODEs","venue":null,"work_id":"bfd05c59-7ca0-4645-b176-68bcb17e5370","year":2020},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.587636Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:67e991405d41604c9d13f9a80373fae73d455db6a554a72f0fe0071269465106","observation_id":"5ba46c74-76b7-4dd7-bcf2-9cca4aee8bb4","resolution":{"observed_at":"2026-08-07T23:46:17.891413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.874258Z","title":"On the difficulty of training recurrent neural networks","venue":null,"work_id":"929372f0-31ff-492c-817a-518ce4ff51a0","year":2013},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.591281Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:a752ee5202ea17361ec10951a2ed52b89fa05d4fd8d753a3f46b47267a200157","observation_id":"0cd98411-bb52-43e6-81c6-d3fd34ffd015","resolution":{"observed_at":"2026-08-07T23:46:17.878543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.861211Z","title":"Visualizing the Loss Landscape of Neural Nets","venue":null,"work_id":"17c020a4-ff4b-40e1-94bc-12ccc77cee49","year":2018},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.595092Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:a40cb92f2a136b596aa0b9e9decd25328fe83844219535ad2f81eb4daef680b6","observation_id":"b228c4a6-2930-49f8-b652-64cc4076a04b","resolution":{"observed_at":"2026-08-07T23:46:17.865641Z","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":"10.1186/s13059-024-03264-0","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.688869Z","title":"Biologically informed NeuralODEs for genome-wide regulatory dynamics.Genome Biology, 25(1):127, May 2024","venue":null,"work_id":"d79c7e5e-6ba9-4e3e-a80a-246e5dd28699","year":2024},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.598808Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:a98a2d35a0adb9282e847369a9f7ca1920d54399a47e2601135951ac276218e9","observation_id":"8cb069f7-3f99-4e6b-817e-1772b96e7de6","resolution":{"observed_at":"2026-08-07T23:46:15.692932Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:17.848332Z","title":null,"venue":null,"work_id":"25ddba88-a4b4-4592-84e5-0b233472e27b","year":null},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.602587Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:feecf2ab3b3b7e2ee3b345604324745486f8837a6e43ab3021e4d8a3735d1177","observation_id":"bfb82964-4348-48fc-ae98-1848098d8b47","resolution":{"observed_at":"2026-08-07T23:46:17.852507Z","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":"1607.07892","last_updated":"2016-07-26T20:32:29Z","snapshot_observed_at":"2026-08-07T19:43:19.134463Z","submitted_at":"2016-07-26T20:32:29Z","title":"Forward-Mode Automatic Differentiation in Julia","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.07892","snapshot_observed_at":"2026-08-07T23:46:15.610621Z","title":"Forward-Mode Automatic Differentia- tion in Julia, July 2016","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.610621Z"},"links":{"cited_paper":"/paper/1607.07892","citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:bf6cb99b9446ebd7981b69985d4fbd0040f86b443f86f3d7f9b524c362499a2f","observation_id":"a72d7edd-4586-4658-8141-8d23b12d9b44","resolution":{"observed_at":"2026-08-07T23:46:15.610621Z","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":"2026-08-07T23:46:17.835709Z","title":"Gutenkunst, Joshua J","venue":null,"work_id":"7ea4c044-a202-4dcf-9d38-f60f09b090b0","year":2007},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.614597Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:1f0d5496b011857e249d23d39cb62be11888ddf541e7eba0e0d58afb6054732e","observation_id":"af7084e6-5d3d-4888-abd4-ccbcb07ca03b","resolution":{"observed_at":"2026-08-07T23:46:17.839774Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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":"2026-08-07T23:46:15.618623Z","title":"Tsitouras","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.618623Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:ebe77c36969ef5e34e4a192aecf5398eac46465ab18313f0089460c1ebe6fbf4","observation_id":"fa9ad2b5-16be-4fae-8126-320b87a79b4a","resolution":{"observed_at":"2026-08-07T23:46:15.618623Z","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":"10.1007/s10543-023-00967-x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.652622Z","title":"Construction of Rosenbrock–Wanner method Rodas5P and numerical bench- marks within the Julia Differential Equations package.BIT Numerical Mathematics, 63(2):27, April 2023","venue":null,"work_id":"b00cb6c0-ffdf-4099-ad55-2d47d5cba0eb","year":2023},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.622641Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:68df4f1ba32c8f19c4fdfce26aebe183cd2900259bd51caababe8d75efd0eee8","observation_id":"17db735d-3130-46ed-b1d5-ca446c96c429","resolution":{"observed_at":"2026-08-07T23:46:15.658739Z","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":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:16.119992Z","title":"Understanding the difficulty of training deep feedforward neural networks","venue":null,"work_id":"451a0fd6-04aa-4bd2-aff8-b32be4dd8b2d","year":2010},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.626402Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:8b9c7bce0c346705935a46e6a9165476d5d5142aa7f5fcd4c198b8316e158443","observation_id":"9cd65e02-66f2-4d2d-97d6-fa0d8771bc9a","resolution":{"observed_at":"2026-08-07T23:46:16.124445Z","resolver_source":"arxiv_id_nonexistent","status":"malformed_identifier"},"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":"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":"2026-08-07T23:46:15.572485Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.572485Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:b2011e0a8c49467c79f94915d6cbff43a96ab514188f8094b94c8f045e0d73a6","observation_id":"437735c8-1f5b-45fb-a56c-2d2154e5e76f","resolution":{"observed_at":"2026-08-07T23:46:15.572485Z","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":"10.1038/s42003-026-09758-w","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:46:15.676498Z","title":"doi: 10.1038/s42003-026-09758-w","venue":null,"work_id":"a2a557da-8f27-4027-ba95-1e753b2d31f0","year":null},"citing_paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations","version":1},"reference_index":2026,"source":"pdf_text","source_observed_at":"2026-08-07T23:46:15.606533Z"},"links":{"citing_paper":"/paper/2608.05777"},"observation_digest":"sha256:205d75f6c046ffc011ceb876617b303c4b519df5ee4243cd0b6d99bfafa06dc7","observation_id":"8dfa4861-b4cc-4a64-9e88-4fc6fbdf9c2d","resolution":{"observed_at":"2026-08-07T23:46:15.680764Z","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"}}],"paper":{"arxiv_id":"2608.05777","last_updated":"2026-08-06T09:10:15Z","latest_version":1,"primary_category":"q-bio.QM","snapshot_observed_at":"2026-08-09T06:12:07.550273Z","submitted_at":"2026-08-06T09:10:15Z","title":"Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations"},"reference_resolution":{"displayed":67,"state_counts":{"malformed_identifier":4,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":23,"verified_fuzzy":19},"total_outbound_references":67},"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 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2608.05777."}