{"as_of":"2026-08-13T10:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:12d48d2942962f351771bda0fb02843c14e3c8431025229651963f98415b0b1c","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T21:53:24.119178Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.08326/citation-record","integrity":"/paper/2411.08326/integrity","json":"/paper/2411.08326/citation-record.json","paper":"/paper/2411.08326"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:53:25.669163Z","title":"S.; Januschowski, T.; and G \\\"u nnemann, S","venue":null,"work_id":"b5f6d357-ab2b-4ea0-87ac-accb16e2c488","year":2021},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.770335Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:b8414455af7cfb469bbb50b0a0b93c13542235ca3f653a017b853d3faf9e799e","observation_id":"76998217-6649-4bc0-8595-812323cde350","resolution":{"observed_at":"2026-08-12T21:53:25.674027Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.652348Z","title":"J.; Brunton, S","venue":null,"work_id":"cffbb41a-acbe-47ef-b5ac-18546783d402","year":2021},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.811913Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:d3199a108b9ded82997fac9b379c92ac84cdddcb1ae073f194e3fa725110c59a","observation_id":"499fe706-ee4b-4297-8859-d7328d48f524","resolution":{"observed_at":"2026-08-12T21:53:25.658123Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.636028Z","title":null,"venue":null,"work_id":"74985f3b-ff8f-4fd6-b516-70f96fd8bdb9","year":2018},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.835480Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:882dc49670399dfa9926ef4627d815df92ee2b495422ba01a86f3d451a129975","observation_id":"70cfaf98-cb30-4f80-800f-43345178748b","resolution":{"observed_at":"2026-08-12T21:53:25.641147Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.04630","last_updated":"2020-07-30T05:22:58Z","snapshot_observed_at":"2026-08-04T10:05:44.957260Z","submitted_at":"2020-03-10T10:55:25Z","title":"Lagrangian Neural Networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.04630","snapshot_observed_at":"2026-08-12T21:53:22.850407Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.850407Z"},"links":{"cited_paper":"/paper/2003.04630","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:182b3d6c2e75149c3a8bbba792a8620aa03cc6fbf002210c5b4e4c2d26e244a6","observation_id":"c712543a-b384-4924-87dc-616324de04db","resolution":{"observed_at":"2026-08-12T21:53:22.850407Z","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":"2026-08-12T21:53:25.600278Z","title":"S.; Giampaolo, F.; Rozza, G.; Raissi, M.; and Piccialli, F","venue":null,"work_id":"f8c46cce-73ec-4063-9589-3b552f8a5cd6","year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.863705Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:0096020c4e07a210a3ca9cd0845ddaa3d41643f8f0500ddd509cbc6408ebb012","observation_id":"0972bb8f-ddc4-459b-8ad8-67e1c97ed264","resolution":{"observed_at":"2026-08-12T21:53:25.623011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.499024Z","title":"u r Angewandte Mathematik, Eidgen \\","venue":null,"work_id":"6cf31190-54fd-4ad2-a62a-1de84d138aab","year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.870175Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:dfe3a262d21ca6e4e0c0050fc058f3705a1e60a162e1cea76498cc326759bf94","observation_id":"f0569d35-48f6-4698-93c2-e0cbed3db2be","resolution":{"observed_at":"2026-08-12T21:53:25.547495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:22.876411Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.876411Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:1f6e94c0cb333e427a10e3eb8345773d978d9f419cf6ceb8b0b42b852467cbe9","observation_id":"18336661-786d-4b44-871a-edef147fd5ac","resolution":{"observed_at":"2026-08-12T21:53:22.876411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.06578","last_updated":"2025-01-29T16:45:04Z","snapshot_observed_at":"2026-08-13T04:22:23.446618Z","submitted_at":"2024-02-09T17:51:43Z","title":"On the Universality of Volume-Preserving and Coupling-Based Normalizing Flows","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.06578","snapshot_observed_at":"2026-08-12T21:53:22.914745Z","title":"o rr, C.; and K \\","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.914745Z"},"links":{"cited_paper":"/paper/2402.06578","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:e2af3f10a5126b9cf28930ce1a10c339e23c28ee95f372138fbb646f807c44e2","observation_id":"dc29603f-ef86-4ada-a7cc-c09f14a30fb5","resolution":{"observed_at":"2026-08-12T21:53:22.914745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.01681","last_updated":"2019-10-26T15:37:14Z","snapshot_observed_at":"2026-08-11T12:28:06.502305Z","submitted_at":"2019-04-02T21:50:34Z","title":"Augmented Neural ODEs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.01681","snapshot_observed_at":"2026-08-12T21:53:22.995388Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:22.995388Z"},"links":{"cited_paper":"/paper/1904.01681","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:098b8fb6ef2eaeba3883387f8eb3fd61a3903cb8744702f1872c3f7bf087632a","observation_id":"c1094097-1987-4c5f-a365-c13146854e49","resolution":{"observed_at":"2026-08-12T21:53:22.995388Z","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":"2026-08-12T21:53:25.374252Z","title":null,"venue":null,"work_id":"ada341f8-2e83-4b7c-9907-acd5ab6791d1","year":2020},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.076100Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:8a69dd8437d0df2a4ea04de272c2ebf0691b3df4a8e65c548e36ed0b24b090e6","observation_id":"b60008aa-1830-4421-beda-84828c3356ee","resolution":{"observed_at":"2026-08-12T21:53:25.379611Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.356835Z","title":null,"venue":null,"work_id":"bddce866-06bd-4514-90c0-ac1a07a3dee5","year":1961},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.158538Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:97c77f44269c29d44310e1656423f13cee29e6a3d396f6fae2dd0f9fe40fc273","observation_id":"939c2cdc-c281-48ba-a3d4-49d5fe94721e","resolution":{"observed_at":"2026-08-12T21:53:25.362400Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.339074Z","title":null,"venue":null,"work_id":"6daf59f2-99de-4b19-8109-42123bdd6569","year":2002},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.177691Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:224fc663797bacd3fe400b0ad2c9dcd2a293d4310d1601d7acb6fce6e128148c","observation_id":"a1a692ee-f525-4d95-84e5-2a9ef12ca1c8","resolution":{"observed_at":"2026-08-12T21:53:25.344513Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.316946Z","title":"M.; Ravier, R.; Farsiu, S.; and Tarokh, V","venue":null,"work_id":"0ecc4701-ac4d-4a78-ac88-b51b382123e0","year":2020},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.221847Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:2f84372571bf0529563b1bdc513cf54b289650274e54f3c2c91593c38d3c9308","observation_id":"5aa77a8b-23db-45b4-9e70-e028495d29d7","resolution":{"observed_at":"2026-08-12T21:53:25.327791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.194195Z","title":"L.; and Huxley, A","venue":null,"work_id":"89612786-380c-4c7c-9017-6b35f45db583","year":1952},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.270443Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:8c512be8770562c4ce95ac32bd9ee1aab1f2cd3721cb35b8b093b9ddaffe1931","observation_id":"dde7eedd-0b85-465f-a289-4527680dd150","resolution":{"observed_at":"2026-08-12T21:53:25.274405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.175124Z","title":null,"venue":null,"work_id":"9a817ee3-718b-4bbb-83b2-f8e48d868f72","year":1972},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.307797Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:737f68a0482e0eab89c4286fb8e240c01f1eb97fca256b85cbf5c6392650d016","observation_id":"4c48efc9-c7fc-4d85-9327-401a1984ab1c","resolution":{"observed_at":"2026-08-12T21:53:25.180367Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:25.159027Z","title":null,"venue":null,"work_id":"8e34f2cf-0d6e-4fa9-a77e-3b574e0676ba","year":1994},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.338476Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:9bb6ac4bc8aed71f26644d0bb397e6dc64bc071ae8b701fe27e2d251709b83c8","observation_id":"df83358b-1b0d-4414-9ddb-d739d37347d6","resolution":{"observed_at":"2026-08-12T21:53:25.163772Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.02435","last_updated":"2022-02-04T23:32:29Z","snapshot_observed_at":"2026-08-12T13:14:48.244612Z","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":"2026-08-12T21:53:23.350873Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.350873Z"},"links":{"cited_paper":"/paper/2202.02435","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:ef03107cb9a1921645e00997d87d8b1254d33ef8be2776d752888be555056f13","observation_id":"4758cee7-0760-4b7a-8238-e532e15bf672","resolution":{"observed_at":"2026-08-12T21:53:23.350873Z","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":"2026-08-12T21:53:23.365845Z","title":"P.; and Ba, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.365845Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:419f7d2a2def1d2bd99ed70e82ac2085b01810af70f652301f8e852eac9e31f6","observation_id":"b12859e0-5abb-4df7-b194-feb886029b04","resolution":{"observed_at":"2026-08-12T21:53:23.365845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1312.6114","last_updated":"2022-12-10T21:04:00Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2013-12-20T20:58:10Z","title":"Auto-Encoding Variational Bayes","version":11},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.6114","snapshot_observed_at":"2026-08-12T21:53:23.383846Z","title":"P.; and Welling, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.383846Z"},"links":{"cited_paper":"/paper/1312.6114","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:4c689a1aca29ddae590f30eec5d45ec51de388c4bd666f09a1490e0a603bf0ed","observation_id":"c59482ca-bc9b-445d-88e2-7c287a728df5","resolution":{"observed_at":"2026-08-12T21:53:23.383846Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.08863","last_updated":"2017-05-02T22:43:10Z","snapshot_observed_at":"2026-08-05T03:11:31.766011Z","submitted_at":"2017-04-28T09:57:52Z","title":"On weight initialization in deep neural networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.08863","snapshot_observed_at":"2026-08-12T21:53:23.390549Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.390549Z"},"links":{"cited_paper":"/paper/1704.08863","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:1f9ddf5c5250bf96ade3518546161c8f2ba0792c38cadaa432b638a2eb5a7934","observation_id":"996fb9f6-bc90-42c3-9a2b-803d943fe50c","resolution":{"observed_at":"2026-08-12T21:53:23.390549Z","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":"2026-08-12T21:53:25.059555Z","title":null,"venue":null,"work_id":"04d7f216-55a7-41f1-bf37-1d34293e035e","year":2021},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.397450Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:f0acd57b801abb6a208befc21702728cbf79a382d23dea4b6f353a5680db42cc","observation_id":"533a52f4-445c-4c3f-9053-02d2d19d5623","resolution":{"observed_at":"2026-08-12T21:53:25.118904Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:24.876141Z","title":"D.; and Karniadakis, G","venue":null,"work_id":"0ecfc292-f8a5-4c48-bb08-6984cbdf6f10","year":2020},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.403084Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:a292145cae416a2cf1f5ea0045645dde1b2189a0e6bedf980d2837c251ff2582","observation_id":"5a1eeaab-52ac-4233-a6af-38cc2102529c","resolution":{"observed_at":"2026-08-12T21:53:24.967223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:24.855828Z","title":"S.; and Protopapas, P","venue":null,"work_id":"12866932-aad0-4270-9696-a7a012875158","year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.449044Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:8f7bb89bd0a0394f88417cb6b13b03c133e4fbe79a0cb017db5f4225bed2aa83","observation_id":"32de35ec-1a14-4a9c-ab3d-882fb13d1d1a","resolution":{"observed_at":"2026-08-12T21:53:24.860987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:23.497238Z","title":"A.; and Mesbah, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.497238Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:104c9ba5fa2ca5817169dc04915bd6b26335e777c8a8630a0e7111007d3c7d17","observation_id":"d4d96395-3e3a-4a2d-8fcf-d3e4a1fb094b","resolution":{"observed_at":"2026-08-12T21:53:23.497238Z","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":"2026-08-12T21:53:23.528093Z","title":"J.; Mohamed, S.; and Lakshminarayanan, B","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.528093Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:a48d3d533ebd8ccd1da19b2fb1fffe4e580a68550e4a5df7accb7c976caa54cb","observation_id":"5ad174af-b84e-41d9-a9d0-3f410d29757d","resolution":{"observed_at":"2026-08-12T21:53:23.528093Z","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":"2026-08-12T21:53:24.808603Z","title":"G.; Manickam, I.; Trask, N","venue":null,"work_id":"3c298dae-058e-4ee2-a144-2047ed15c7bb","year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.562551Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:0663bae61ed63dcc8b50af3a222da69b2d99560e5e90185b5b4651833ea1f577","observation_id":"31ea5033-a451-476b-b814-c50096bba23f","resolution":{"observed_at":"2026-08-12T21:53:24.820263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:24.757749Z","title":null,"venue":null,"work_id":"df5a451d-f8da-4bca-8c7f-cfecdc24c030","year":2021},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.628553Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:28037ed81a74e28056f005941fb86468123f08d4f766bc4f4e4b6594c906751b","observation_id":"d0c179b9-6e1c-409f-99ec-954b5f6e7453","resolution":{"observed_at":"2026-08-12T21:53:24.781865Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:23.650108Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.650108Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:760a0d221d9739084b626fb69f6075ef0ab1aba115ac595097f33a7c040f6b43","observation_id":"45de495b-b0fd-4a07-ac27-1df46b3c982a","resolution":{"observed_at":"2026-08-12T21:53:23.650108Z","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":"2026-08-12T21:53:24.663374Z","title":null,"venue":null,"work_id":"576b581a-224e-48a0-94ac-136901ac02ea","year":2021},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.691078Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:c2c7546404a743577738114b2a31fb506a533a2c4bd45ac09dc3554677cd75e8","observation_id":"dc1489e3-5b18-4e89-82e9-49c9d5667c62","resolution":{"observed_at":"2026-08-12T21:53:24.705437Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:24.552553Z","title":null,"venue":null,"work_id":"beec440d-442c-446d-84b8-57f1d4bdb7fa","year":2015},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.714435Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:d61e905c624110ab1e7665df4b57a5273381fa666bd05c2a1a3f1ccf6c8942cd","observation_id":"7da7d8fd-63fc-469a-a349-1c355dc3f40f","resolution":{"observed_at":"2026-08-12T21:53:24.597662Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:23.726449Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.726449Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:639765c0c40af2e544be4ca1331c5734fb898d97fd8070ad618bb0cab2c687fc","observation_id":"f85cf305-b014-464a-8e74-43f10c30cc10","resolution":{"observed_at":"2026-08-12T21:53:23.726449Z","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":"2026-08-12T21:53:24.509465Z","title":null,"venue":null,"work_id":"cc94be92-3215-41ac-b6f6-ffe08cae66b3","year":2020},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.738242Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:d5d9842c47ab198eca02d782e8866417ec06632dee0b994c36e172e052a0d876","observation_id":"c67e526e-5484-4d32-bd8a-0de054054e64","resolution":{"observed_at":"2026-08-12T21:53:24.514569Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:24.492285Z","title":null,"venue":null,"work_id":"25d3588d-4f9a-4f58-adf9-1f93f8717d69","year":2021},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.758519Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:1c82b0da79f0ea61650ba38c185a7492392f53d218f9b536de5c29d4ea83f9ca","observation_id":"35034f7c-b76f-4b2d-9478-160758db3905","resolution":{"observed_at":"2026-08-12T21:53:24.497645Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.07404","last_updated":"2022-03-14T18:08:18Z","snapshot_observed_at":"2026-07-06T12:47:48.418460Z","submitted_at":"2022-03-14T18:08:18Z","title":"Respecting causality is all you need for training physics-informed neural networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.07404","snapshot_observed_at":"2026-08-12T21:53:23.765617Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.765617Z"},"links":{"cited_paper":"/paper/2203.07404","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:cc4dda20d552b88d4a1b9f11f15c6060757f95069804e0a7e4ea2dcfd7d4ca36","observation_id":"8214212d-3eff-4683-ada2-5987d03ace1d","resolution":{"observed_at":"2026-08-12T21:53:23.765617Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.08468","last_updated":"2023-08-16T16:19:25Z","snapshot_observed_at":"2026-08-13T10:33:33.218723Z","submitted_at":"2023-08-16T16:19:25Z","title":"An Expert's Guide to Training Physics-informed Neural Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.08468","snapshot_observed_at":"2026-08-12T21:53:23.770520Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.770520Z"},"links":{"cited_paper":"/paper/2308.08468","citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:313b99aaea6a728804e97efbdc9848173cb131299be9d94279986f55bfeeedbd","observation_id":"9b6cf2e0-cddb-4c78-9cde-c9fd061b874b","resolution":{"observed_at":"2026-08-12T21:53:23.770520Z","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":"2026-08-12T21:53:23.934264Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:23.934264Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:da2791f7bfbdcee6d5717600b2fb74e01d260f1b314c6b5b68685e1b027ac6ae","observation_id":"7084afac-f5a5-4aaf-830a-299eef4d8877","resolution":{"observed_at":"2026-08-12T21:53:23.934264Z","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":"2026-08-12T21:53:24.451710Z","title":null,"venue":null,"work_id":"78474089-b466-4add-a1a6-d20fbededef9","year":2023},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:24.019355Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:f2489f86179871165381de0a608bb404f51b0b1ce8eaa6e1279ee9c9e6aaeb86","observation_id":"09588c7c-2a7e-42dc-9316-fd41215efa95","resolution":{"observed_at":"2026-08-12T21:53:24.463971Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:24.402852Z","title":"V.; and Ramos, F","venue":null,"work_id":"c043d927-257b-4805-8807-1d41991efa48","year":2022},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:24.043378Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:a727b7bee4f758117ed5f4d8571cb8f25a622c673455a87275fa71b127c8d30e","observation_id":"90c76456-d5d0-474e-90a5-91609c3ea0e1","resolution":{"observed_at":"2026-08-12T21:53:24.432209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T21:53:24.087173Z","title":", \" * write output.state after.block = add.period write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:24.087173Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:5a052972fb4f3762a9e132d5cd896851e8d403d09c2e9294ec7756a7df9316cf","observation_id":"3ef4a045-f9b1-43eb-ad1b-dc90d7f3d417","resolution":{"observed_at":"2026-08-12T21:53:24.087173Z","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":"2026-08-12T21:53:24.119178Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-12T21:53:24.119178Z"},"links":{"citing_paper":"/paper/2411.08326"},"observation_digest":"sha256:75d8b4b7b6eb395cda824faca297fd734db94614a423dce43ba48efcfbb51a4e","observation_id":"31c9f724-b373-4646-8edd-7927a6b09424","resolution":{"observed_at":"2026-08-12T21:53:24.119178Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2411.08326","last_updated":"2024-11-13T04:20:29Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-12T21:41:00.545930Z","submitted_at":"2024-11-13T04:20:29Z","title":"Neural Conjugate Flows: Physics-informed architectures with flow structure"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":30,"verified_exact":0,"verified_fuzzy":10},"total_outbound_references":40},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2411.08326."}