{"as_of":"2026-08-09T21:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:14b31e626f3d6c711bf7c7dbb2083483d3575cbdf0c19adb20c4afbef1d8f0a6","coverage":[{"denominator":61,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":61,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T21:41:24.623746Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"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/2608.05892/citation-record","integrity":"/paper/2608.05892/integrity","json":"/paper/2608.05892/citation-record.json","paper":"/paper/2608.05892"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:41:24.382888Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.382888Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:d641e060778461b1d205beedd7e736352274b5b38d7d4a568062dead22800683","observation_id":"b94e9b1f-8ac9-40c2-a1d8-b72b3151108f","resolution":{"observed_at":"2026-08-07T21:41:24.382888Z","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":"2026-08-07T21:41:25.484471Z","title":null,"venue":null,"work_id":"a85ab9d8-c0c5-471d-90a1-64b5d0ff5d85","year":1977},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.387486Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:2b657271d71e9c02e190e4992e5d5162944e35d2077373074286fb8ada7a6798","observation_id":"e416f12f-30de-4b87-8bdf-9c98af877768","resolution":{"observed_at":"2026-08-07T21:41:25.488450Z","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":"2026-08-07T21:41:25.473141Z","title":null,"venue":null,"work_id":"6184ee3f-3319-48db-a7e1-4d05ac2cd16f","year":2002},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.391801Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:6eb2706e82712dde2c71c35131daede85265b5ab9caeaad32d722bd2c098eb0a","observation_id":"54658dcf-aa7d-4257-b15c-001b179e3aec","resolution":{"observed_at":"2026-08-07T21:41:25.476855Z","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":"2026-08-07T21:41:25.460554Z","title":null,"venue":null,"work_id":"e86cadb8-dda9-4aca-8585-9b360039c3f1","year":2008},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.396199Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:04719784f08c1652c98c4120381b28e55c40f72e479b8c7ccfe4c7b7bd7b38e2","observation_id":"79784e7c-8be3-40e4-a48c-40cd5829e079","resolution":{"observed_at":"2026-08-07T21:41:25.464487Z","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":"2026-08-07T21:41:24.400361Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.400361Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:b019aa86fe742e12f8f03d2183847548cb88a47e82c92c7ff72b012cabae8d07","observation_id":"98f319a0-7207-42d4-8591-07a57a2fd4ca","resolution":{"observed_at":"2026-08-07T21:41:24.400361Z","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":"2026-08-07T21:41:25.440297Z","title":"Canuto, M","venue":null,"work_id":"d43493ab-ee8f-4130-b9c1-a5814eb0ee2a","year":2006},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.404787Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:670f68c391509911fae5894298e86e61ff4e416b45051165dcd460bc49883aa5","observation_id":"cbfe3551-a857-4f0e-9c0d-765368e3ac98","resolution":{"observed_at":"2026-08-07T21:41:25.444349Z","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":"2026-08-07T21:41:24.409131Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.409131Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:67283679f26600b077ba36867832e290a6b0b1c9d36e883c02eeb82f3ba30970","observation_id":"214dba89-d7e7-4bc9-8166-2e4df52df38a","resolution":{"observed_at":"2026-08-07T21:41:24.409131Z","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":"2026-08-07T21:41:25.420629Z","title":"Weinan, B","venue":null,"work_id":"54a5d617-1aff-4905-b055-e42904b90d51","year":2003},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.412894Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:5ba3dda5e850a10d020973900678859820c42eb283756f9cff4292e42ab2fb05","observation_id":"084be8a9-c195-45fc-a7dc-f6f4ca3c79e2","resolution":{"observed_at":"2026-08-07T21:41:25.424468Z","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":"2026-08-07T21:41:25.406466Z","title":"Abdulle, E","venue":null,"work_id":"9ba5db56-0659-414a-825b-bc3f39598a19","year":2012},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.416547Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:9e8951a0f74946e6780b933fa3d4b72d2778924a61955ef5476508275249b63e","observation_id":"bf8afd45-a95d-4654-9c3e-55e0773d5cab","resolution":{"observed_at":"2026-08-07T21:41:25.411462Z","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":"2026-08-07T21:41:25.389846Z","title":"Efendiev, T","venue":null,"work_id":"da42ab2f-85b9-4859-89b8-da8742b43619","year":2009},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.420543Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:3b080702fd0a3cd7a323d3de4778012088b1aa679782cc7d89f012c5e770ed87","observation_id":"aa5285d2-aef4-4868-ac6c-646c280e8ad3","resolution":{"observed_at":"2026-08-07T21:41:25.396113Z","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":"2026-08-07T21:41:25.376318Z","title":"Iserles, S","venue":null,"work_id":"ce2c4e66-0698-41ec-8c5e-04dc62b7abc4","year":2005},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.425115Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:3c284a540b701e5ce6a2f2167188f7748e2d623813ec322257d1a81864419c72","observation_id":"ed01b5d5-be89-42c7-a142-2e592cf2c9a4","resolution":{"observed_at":"2026-08-07T21:41:25.380452Z","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":"2026-08-07T21:41:25.364240Z","title":"Raissi, P","venue":null,"work_id":"3f9dc777-53a2-4e6c-98cf-7ebc6a54b829","year":2019},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.429614Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:2033a82738ab9b55141b6cd5f916b21b392c37c81f33004c3326a2d1bae06585","observation_id":"77a9f7e5-0a4c-435e-8983-7af89638ab87","resolution":{"observed_at":"2026-08-07T21:41:25.368120Z","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":"2026-08-07T21:41:25.351343Z","title":null,"venue":null,"work_id":"21bbe55d-c780-4c43-89b1-17bc80f86f37","year":2021},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.433544Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:72299a18098e0a34f8e56c35166eac5c96c20d1117c5624609fbc9c06db2f9a2","observation_id":"7a9a116b-082b-4084-8350-9773cde2f6f3","resolution":{"observed_at":"2026-08-07T21:41:25.356008Z","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":"2026-08-07T21:41:25.339641Z","title":null,"venue":null,"work_id":"4942e733-d930-483a-8b45-0cf493237174","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.437327Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:436667df8878286dda575f1a76abdd6feaeb236e3b99fa26ba82a99fcaeda3a1","observation_id":"df13363a-3b2e-4ef8-8ce9-65ad4c661c8f","resolution":{"observed_at":"2026-08-07T21:41:25.343521Z","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":"2026-08-07T21:41:25.328027Z","title":null,"venue":null,"work_id":"79679614-1a64-4f16-9b1d-23488202f0ec","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.441136Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:4720c0778d57ff97b60720a655206e05c991a2f6a45235dd5696a8fc254af848","observation_id":"31ada883-c471-439b-8c06-e7c52f7271ce","resolution":{"observed_at":"2026-08-07T21:41:25.331758Z","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":"2026-08-07T21:41:24.445025Z","title":"Raissi, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.445025Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:66380b1edde3366ad20191d5937684bdf354f4517dfbda405648456dbff143b0","observation_id":"fc6afa0f-1e43-4953-8a69-d0fba48e9c44","resolution":{"observed_at":"2026-08-07T21:41:24.445025Z","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":"2026-08-07T21:41:25.308148Z","title":null,"venue":null,"work_id":"ad500168-8909-41c0-b4de-4d02c70c0145","year":2021},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.448832Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:ae8dd5860ceb7be9587fea46e262fc844b868f2588c9f154b2778d21c68d7732","observation_id":"3c5b077a-2758-4aee-9680-9d10765316af","resolution":{"observed_at":"2026-08-07T21:41:25.312277Z","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":"2026-08-07T21:41:25.296695Z","title":null,"venue":null,"work_id":"e97b5a97-5689-4f35-9c70-60535a8798a7","year":2020},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.452487Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:18e9c0fda869949a7d1b5c841d2fd76f847dc1fc34eb6f1c16605b40ac60accf","observation_id":"e2825841-196d-4fed-bad9-23ad941aaeda","resolution":{"observed_at":"2026-08-07T21:41:25.300300Z","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":"2026-08-07T21:41:25.285601Z","title":null,"venue":null,"work_id":"e60faf1c-0887-4e84-b725-8ac1780ac426","year":2021},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.456319Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:746c4ffd85b49e3e93392ec3065364b7382a79c23526b6bbaa0f3b7aed9eb0a9","observation_id":"bdc0449e-d8a3-4177-bb95-f13e7a1f7048","resolution":{"observed_at":"2026-08-07T21:41:25.289558Z","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":"2026-08-07T21:41:25.273281Z","title":"Bastek, W","venue":null,"work_id":"616d0f59-5865-42f1-88ae-098cde972204","year":2025},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.460265Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:cdde1d2408691b9317ea40773b456a125e6659946d8a7caca5235b9374fab630","observation_id":"15535efe-2ddd-4737-bd33-915d90514378","resolution":{"observed_at":"2026-08-07T21:41:25.277375Z","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":"2508.14807","last_updated":"2025-08-22T15:50:46Z","snapshot_observed_at":"2026-08-05T18:17:10.338636Z","submitted_at":"2025-08-20T15:56:25Z","title":"Source-Guided Flow Matching","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.14807","snapshot_observed_at":"2026-08-07T21:41:24.463896Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.463896Z"},"links":{"cited_paper":"/paper/2508.14807","citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:362c536d01e3eb11f7ae8df768bf17fc611ac066eb8aff8403b5bad652337f2d","observation_id":"19470d77-d8d4-4cdd-9279-499365f99e16","resolution":{"observed_at":"2026-08-07T21:41:24.463896Z","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":"2026-08-07T21:41:25.260571Z","title":null,"venue":null,"work_id":"a1808291-636f-43c1-b84b-6edeaec09328","year":2023},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.468107Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:ac5b157454df5727b402d97fbdbd1c1d794e44a0307a50211a733ada6b7fc25f","observation_id":"215fdc7a-df52-46de-9cbd-bf88c5516e40","resolution":{"observed_at":"2026-08-07T21:41:25.264408Z","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":"2026-08-07T21:41:25.249142Z","title":null,"venue":null,"work_id":"cebbfba5-a93d-4063-b86e-8c69d8240378","year":2021},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.471904Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:fa1fd50db59f159255b1a116695413d38615b23255d4ce689c2cfa04685500ed","observation_id":"9ecf6199-b090-43d4-bb90-bf4a4f489ec4","resolution":{"observed_at":"2026-08-07T21:41:25.253126Z","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":"2026-08-07T21:41:24.475599Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.475599Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:0730e3b3dbe99e8a5e7b44cc9dbb851b0074c2215bdf10c4512abd3358950562","observation_id":"ca1eff59-da25-4a82-8516-a335ff53d33d","resolution":{"observed_at":"2026-08-07T21:41:24.475599Z","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":"2026-08-07T21:41:25.229516Z","title":"Rahaman, A","venue":null,"work_id":"389459f3-3fc1-4f9e-bc42-0aad8d8037fe","year":2019},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.479254Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:86d7866c680ea9b9f781d20778dfb3ff15d79228a0b68026737558f0d55c4407","observation_id":"b90d40de-f98b-4fe7-b5be-e0b8de7731b7","resolution":{"observed_at":"2026-08-07T21:41:25.233247Z","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":"2026-08-07T21:41:25.218359Z","title":null,"venue":null,"work_id":"a240b2df-61e0-4f83-a5d2-b77398ed522e","year":2025},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.483024Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:2ac8fbf0d0587666cde1550708dfdc4e50168e82ca033594146c3fcce4f019d6","observation_id":"7d2b1f6e-9e2a-48ff-b34d-f34aeee5f636","resolution":{"observed_at":"2026-08-07T21:41:25.222222Z","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":"2026-08-07T21:41:25.207277Z","title":"Krishnapriyan, A","venue":null,"work_id":"442112e1-d177-43af-ae1a-4a56702305d9","year":2021},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.486708Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:799cbf46d22204140b37dbfce5716da361b4a28ef717ee6a4a7b7fe89e3d010b","observation_id":"f7c8e9b7-e9d5-4511-a67f-810a54b1b3cb","resolution":{"observed_at":"2026-08-07T21:41:25.211041Z","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":"2026-08-07T21:41:24.490757Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.490757Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:29f35bd810a8c06a6316f5c9532279934ec6672031eb2685bdade2df3024c6da","observation_id":"8f2bd798-1bad-493a-91c5-648ea088720f","resolution":{"observed_at":"2026-08-07T21:41:24.490757Z","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":"2026-08-07T21:41:24.494375Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.494375Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:17c054a9f47aff76f25fd5b3f92ea1d1cf15005f67fc129ffdb6b6ca6681b32c","observation_id":"5bfd3963-fedc-43ab-8d46-b38765d3897c","resolution":{"observed_at":"2026-08-07T21:41:24.494375Z","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":"2026-08-07T21:41:25.183430Z","title":null,"venue":null,"work_id":"a09ca620-1680-487e-bf90-bb24e0a6a574","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.497935Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:011f66404cee3858db6166fd2b382096ac2ddfb43201ca18f2eb7e8b07c4a829","observation_id":"bfe6faee-2f8f-47ff-9ebd-674cefbb70ba","resolution":{"observed_at":"2026-08-07T21:41:25.186824Z","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":"2026-08-07T21:41:25.172533Z","title":null,"venue":null,"work_id":"4592712d-2874-49e4-a80e-45aad452052c","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.501757Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:b88f9ed64ff282507176d7d7d2e7970fbe562013b5443d80452f693c2b067829","observation_id":"8b644e63-58ae-4e03-ae1d-7b2bcec3e587","resolution":{"observed_at":"2026-08-07T21:41:25.176412Z","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":"2026-08-07T21:41:25.161320Z","title":null,"venue":null,"work_id":"4eaddff4-de85-41c3-b3af-e11a48a2ff1a","year":2026},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.505998Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:8591c0f8d118aa00b203138c1f47ac596079be7f86b5548f228eb324c1967eab","observation_id":"37d5f56f-7189-458d-bdc2-d43221476192","resolution":{"observed_at":"2026-08-07T21:41:25.165062Z","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":"2026-08-07T21:41:25.149510Z","title":null,"venue":null,"work_id":"378e97bc-68fe-4ef5-ad6d-3e9af4a623ce","year":2026},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.509881Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:507e2f85cd3bf593e74618aebc3be28890e9cbb2959ce87e37e6cb988c4bb585","observation_id":"7189467e-9a32-4e10-b1f9-555697420286","resolution":{"observed_at":"2026-08-07T21:41:25.153732Z","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":"2026-08-07T21:41:25.137043Z","title":null,"venue":null,"work_id":"c0199c23-9710-4830-b6fb-bd1d123d90f9","year":2023},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.513830Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:ebf1577236fde428c1604a8e6d789cca7eb5446f249147fa638ebcbfb4ef1d0d","observation_id":"65bdc27b-1e6f-44c6-a0cf-4c33bcf674c1","resolution":{"observed_at":"2026-08-07T21:41:25.141055Z","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":"2026-08-07T21:41:25.125780Z","title":null,"venue":null,"work_id":"eda3642f-f2ce-495d-97ad-d24737a3b7b6","year":2023},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.517830Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:ef3bf155913e579e251985bb82695a2496797afa1ab011cdca7e5b47e80caa89","observation_id":"bbfa2b31-4ac2-4784-b246-58ab8dba6ec7","resolution":{"observed_at":"2026-08-07T21:41:25.129387Z","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":"2026-08-07T21:41:25.113106Z","title":null,"venue":null,"work_id":"8bd815a6-f601-4168-97dc-ba638ceb2609","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.522010Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:cabadd0c2fe93b563a3e3861b015e4ead3fdbeda6eeee4e33ef078e380e9e174","observation_id":"f03b0ac6-50fd-4c27-b001-8968366f24dd","resolution":{"observed_at":"2026-08-07T21:41:25.117288Z","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":"2026-08-07T21:41:25.098767Z","title":"Tancik, P","venue":null,"work_id":"795efac7-f77a-4307-8734-d80fa5c20bd0","year":2020},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.525746Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:cb140ef96e619e558d1bc1f281901c01073ee7d3bfedb463acb6ec1c9e903907","observation_id":"19baa49a-e13f-4d74-9706-6f745b4d801f","resolution":{"observed_at":"2026-08-07T21:41:25.103413Z","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":"2026-08-07T21:41:25.086636Z","title":null,"venue":null,"work_id":"49960b28-d7f4-4638-9397-b55e7a39ad40","year":2021},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.529552Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:85c91de6bb3dc9603255316c5d7a416f4dcc5545423b0a5863a35e0d95f6046f","observation_id":"3efac10e-e309-4097-ada4-55d478200b85","resolution":{"observed_at":"2026-08-07T21:41:25.090559Z","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":"2026-08-07T21:41:25.074214Z","title":"Sitzmann, J","venue":null,"work_id":"b35f498c-5e33-410f-899c-5bb88082de09","year":2020},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.533466Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:445aaeabf27ac65e3962bbb2b5c65ee9fad647dc083f93885a29f6c8e73e1bb2","observation_id":"468a7109-5247-433c-b93a-a67a759dc7fc","resolution":{"observed_at":"2026-08-07T21:41:25.078150Z","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":"2502.04917","last_updated":"2025-06-09T08:48:09Z","snapshot_observed_at":"2026-08-08T20:57:38.500620Z","submitted_at":"2025-02-07T13:36:42Z","title":"Complex Physics-Informed Neural Network","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.04917","snapshot_observed_at":"2026-08-07T21:41:24.537783Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.537783Z"},"links":{"cited_paper":"/paper/2502.04917","citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:04007e0ddee388a3b26bc6eb4ca08fbb3d67ddadf1ce4b10db8c5c68e7a42ba2","observation_id":"ff678914-3106-4921-b877-148fe4c6b682","resolution":{"observed_at":"2026-08-07T21:41:24.537783Z","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":"2026-08-07T21:41:25.063222Z","title":null,"venue":null,"work_id":"a76f7d5b-04d0-4cd7-a36f-2adc43ee9bc2","year":2026},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.542400Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:d38ecb219b133db587705972f4ae716e0a5229eb2a47eb96dd55afefec2aca8b","observation_id":"505c52e1-2de5-4617-820d-3a1641c85ddf","resolution":{"observed_at":"2026-08-07T21:41:25.066946Z","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":"2026-08-07T21:41:25.051657Z","title":null,"venue":null,"work_id":"f636fc7f-8278-4f68-95cd-173a3c31642e","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.546440Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:f23c9f65940d6c57c105fef3e7f0ac2fcc64e110699465477e52ac964474c4dc","observation_id":"cecde21f-eb6b-4da7-aec6-0e08e40d23ef","resolution":{"observed_at":"2026-08-07T21:41:25.055788Z","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":"2026-08-07T21:41:24.550487Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.550487Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:9811c8983a5526e1cea7c437f89463f253ab3e8f8b0ff6f7e3864e2f84b23bf6","observation_id":"6b4119d9-2ab1-44a2-be65-749444bf30d4","resolution":{"observed_at":"2026-08-07T21:41:24.550487Z","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":"2026-08-07T21:41:24.554640Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.554640Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:70db06415b76611d0f74adf6f170ba8fee2c3ffe480f28de629b32f0f8b02dfe","observation_id":"721172c0-d85d-4feb-8932-ef5bf22be506","resolution":{"observed_at":"2026-08-07T21:41:24.554640Z","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":"2026-08-07T21:41:25.024886Z","title":null,"venue":null,"work_id":"65063058-5b7c-49c0-a5a7-b66e681c5687","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.558670Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:43acf175dd6f60c92c6470abffebc6609f691b667dde50c17060aa96503fa2cc","observation_id":"6149493e-994a-4bbf-ad02-843558070ec2","resolution":{"observed_at":"2026-08-07T21:41:25.028752Z","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":"2026-08-07T21:41:25.012979Z","title":null,"venue":null,"work_id":"aa3e50af-0ac5-4506-8ad9-2a166389305e","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.562423Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:1f9b46e99ff8300e911cf851b7d91914ca1f2966616624ee45ba873bccf9edd7","observation_id":"281401d9-bffb-4a45-bcba-1ca21f300025","resolution":{"observed_at":"2026-08-07T21:41:25.016608Z","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":"2026-08-07T21:41:24.567621Z","title":"Wang, C.-Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.567621Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:ad3a834e3bc30fdf6c352a0da0fa857549de8ad5490b34d8f82c094832da7862","observation_id":"56f5d967-32eb-4a05-a427-671435911167","resolution":{"observed_at":"2026-08-07T21:41:24.567621Z","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":"2026-08-07T21:41:24.994572Z","title":null,"venue":null,"work_id":"92b80f49-fbea-4a0d-8006-da54b67573f6","year":2020},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.571614Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:70679ab46428e846152e42481483eed64625290f93300e255e9a50d9096577a9","observation_id":"8269e0d5-ea7c-45b8-ae8d-886ad8b181bf","resolution":{"observed_at":"2026-08-07T21:41:24.998526Z","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":"2026-08-07T21:41:24.983439Z","title":"Huang, Q.-Y","venue":null,"work_id":"e2df6c59-e394-4bbd-ba05-57b1c020ce7e","year":2006},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.575502Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:8a1ace75d18db0307845f2b9f8b7da7c833f77a0b7fce75b7c143bfe3fea5373","observation_id":"44476d86-ef8d-49d6-9032-0bfd9efed7a4","resolution":{"observed_at":"2026-08-07T21:41:24.987192Z","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":"2026-08-07T21:41:24.971639Z","title":"Dwivedi, B","venue":null,"work_id":"242988c1-df62-4542-82b1-9ea2997fc54d","year":2020},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.579395Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:12ce0c3faf57784e43618873875557f62248f0cea98c8be63ba6fc411f690f00","observation_id":"d5b86678-a61a-44a0-8f8e-d51de66091fb","resolution":{"observed_at":"2026-08-07T21:41:24.975625Z","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":"2026-08-07T21:41:24.583226Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.583226Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:816d6f2d92b4fc9df4baaadb26c813dd3d226fe014c353e7dd1d367e25b1bc9b","observation_id":"37220b8e-90f9-4b07-ae3d-923bc6332d5a","resolution":{"observed_at":"2026-08-07T21:41:24.583226Z","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":"2510.19399","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:41:24.839787Z","title":null,"venue":null,"work_id":"3ce8e9bd-145f-4bd9-a24d-d6e865b50ae7","year":2025},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.587739Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:3f4e6967a71bc8c13e769df721ad22d181eade52c7314d6d85f252c3684bd4df","observation_id":"aec691ce-2f4b-435e-8256-c1c1714fee01","resolution":{"observed_at":"2026-08-07T21:41:24.848743Z","resolver_source":"raw_fallback","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":"2026-08-07T21:41:24.952646Z","title":"Levenberg, A method for the solution of certain non-linear problems in least squares, Quarterly of applied mathematics 2 (2) (1944) 164–168","venue":null,"work_id":"64e9bcd2-c753-4449-8cd2-775ef64fd08e","year":1944},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.592037Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:fe0254772dc365679f81073f7ac1e10e52888c6cfc075e51bbfab3f81638a8f8","observation_id":"84ac81a0-f675-45aa-9e43-583e9749c1e4","resolution":{"observed_at":"2026-08-07T21:41:24.956608Z","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":"2026-08-07T21:41:24.941351Z","title":null,"venue":null,"work_id":"5bb67740-f917-4fbf-b95e-6f1c79a632cd","year":1963},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.596079Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:d189f4dcfe7c2b3d2657c1152c27a6fd4fb6fe8b8535935e8e8d093bc2977882","observation_id":"478e98a5-fd03-410e-ac4c-d60bcbc42021","resolution":{"observed_at":"2026-08-07T21:41:24.945122Z","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":"2026-08-07T21:41:24.928721Z","title":null,"venue":null,"work_id":"fb32a92a-6bcd-41c2-a246-4061b6b28184","year":2016},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.600539Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:d659ce4ba1b28e87d58aa1c4bdfc474b6e10c4e671987a16a17a6cf02ab6c973","observation_id":"9b7adfb2-558f-4fe1-902a-e7bd8b926fcc","resolution":{"observed_at":"2026-08-07T21:41:24.932457Z","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":"2026-08-07T21:41:24.604423Z","title":"Rahimi, B","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.604423Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:1a2af71457d934f37a47d7cfbd74e057ffa372f35c11a664595cc78baa1ab8ac","observation_id":"8b08ae21-6bde-4a5b-8e57-c7087538c853","resolution":{"observed_at":"2026-08-07T21:41:24.604423Z","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":"2026-08-07T21:41:24.608221Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.608221Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:bc92c608e8170ced96950c8bd04fc9c933299eccd96586343c48c3a8496fe17f","observation_id":"c9319a40-e1b5-4ef1-b38d-807993d308ab","resolution":{"observed_at":"2026-08-07T21:41:24.608221Z","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":"2026-08-07T21:41:24.909466Z","title":"Coleman, Calculus on normed vector spaces, Choice Reviews Online (2013)","venue":null,"work_id":"ae504168-ef31-40cc-b561-16a397366ef3","year":2013},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.612430Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:93f4ddb62bdb8188e9f36fdb554b3304db1685fab6bae23ba5d968f4da7cfa50","observation_id":"01b99719-5bd1-46ae-b03f-3123045560e2","resolution":{"observed_at":"2026-08-07T21:41:24.913883Z","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":"2026-08-07T21:41:24.616044Z","title":"Penwarden, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.616044Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:26bb8380022224815d82cb5997d9da22656995683c9a04e027b03c68da6389df","observation_id":"a20d8a4f-0544-4684-8317-656229abb83f","resolution":{"observed_at":"2026-08-07T21:41:24.616044Z","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":"2026-08-07T21:41:24.897474Z","title":null,"venue":null,"work_id":"d08adad3-5fd8-40ab-85d1-1774dffca63c","year":2006},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.619975Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:303c5622d7c5d2f07f3075391e91af39b80d4e823efb812fade3ed4ae3970d50","observation_id":"3dac5084-b204-41a5-9dd7-e7e0f7917296","resolution":{"observed_at":"2026-08-07T21:41:24.901160Z","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":"2026-08-07T21:41:24.885039Z","title":null,"venue":null,"work_id":"ba97ed61-86c7-46ce-a9b8-3cbaa3473de5","year":2024},"citing_paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T21:41:24.623746Z"},"links":{"citing_paper":"/paper/2608.05892"},"observation_digest":"sha256:cac84b54c45aa9d683d98ba6505bb64bbf52330dce7c50d61ed801d11b5e1404","observation_id":"22c6240e-0094-4cc7-b80c-889d01bf442c","resolution":{"observed_at":"2026-08-07T21:41:24.889308Z","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"}}],"paper":{"arxiv_id":"2608.05892","last_updated":"2026-08-06T11:18:10Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-09T21:11:47.713763Z","submitted_at":"2026-08-06T11:18:10Z","title":"Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features"},"reference_resolution":{"displayed":61,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":45,"verified_exact":1,"verified_fuzzy":15},"total_outbound_references":61},"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 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2608.05892."}