{"as_of":"2026-08-09T13:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c518336a0f51a9b35158749fc0dad7b7121892f51dc01a303d45e53fc3318e72","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T23:59:57.867594Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"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/2607.15171/citation-record","integrity":"/paper/2607.15171/integrity","json":"/paper/2607.15171/citation-record.json","paper":"/paper/2607.15171"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:59:53.449959Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:53.449959Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:aa256ecd743ce9365a7aa3b9007429f9a6e961b5fabb39a1149230c8aaab9362","observation_id":"b44de581-55a2-43bd-91c2-dce94209e243","resolution":{"observed_at":"2026-08-01T23:59:53.449959Z","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":"2026-08-01T23:59:53.516068Z","title":"Jaffré, J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:53.516068Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:29d6d452a7a8a658bcd54c9501c68dda23616f333ee3284bbba4b0b8c1f86831","observation_id":"8af09816-2d83-474e-81d3-8d328b94c2c0","resolution":{"observed_at":"2026-08-01T23:59:53.516068Z","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":"2026-08-01T23:59:53.655568Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:53.655568Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:eb3691cc73d4ab2cb07343711ba7e9cd6983c96a579279576ca19706ec55c08f","observation_id":"1acd3ca1-d71c-42bf-bd52-1ec6dd0b2a20","resolution":{"observed_at":"2026-08-01T23:59:53.655568Z","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":"2026-08-01T23:59:53.796905Z","title":"Schröder, M","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:53.796905Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:ec05a6199916bba687fd56bb733eff97c458142a793bd0eedc0ccce06de32575","observation_id":"ae4fb575-1084-487a-a77e-9fac986699ac","resolution":{"observed_at":"2026-08-01T23:59:53.796905Z","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":"2026-08-01T23:59:53.897731Z","title":"Possenti, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:53.897731Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:e6cef85cb1da62e4f812d5f5004b69b581d47699004910d52dcb7c24779f72a8","observation_id":"66e80476-944b-4ece-84b4-3902882bcb0b","resolution":{"observed_at":"2026-08-01T23:59:53.897731Z","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":"2026-08-01T23:59:54.035405Z","title":"Possenti, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:54.035405Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:53daf075b75d15665f940fe3aa2a596b659b9ba209cc9c07bddf839e00a3bb65","observation_id":"2c2acb1c-51fc-4d6c-9d17-4b1804b430f4","resolution":{"observed_at":"2026-08-01T23:59:54.035405Z","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":"2026-08-01T23:59:54.187582Z","title":"Vidotto, T","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:54.187582Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:54959a8714d45a3f18d9478f8d7763099c1f19f4d12cadc0b4d1d1f8de3b29ca","observation_id":"e86dbc73-1053-441e-9329-ad994f810051","resolution":{"observed_at":"2026-08-01T23:59:54.187582Z","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":"2026-08-01T23:59:54.319564Z","title":"Kremheller, A.-T","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:54.319564Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:8d15b16e819e725cd1c23fff0ea5f46f23a5146f88110265f522f7fd5eb6ccf7","observation_id":"a6645181-260c-45c1-bec1-13de8b3420e0","resolution":{"observed_at":"2026-08-01T23:59:54.319564Z","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":"2026-08-01T23:59:54.523684Z","title":"Khristenko, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:54.523684Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:d9aa9c9705db5b042e4fdec7489837be84edefad5ad1079cdc2e221c264aa6df","observation_id":"ada29d2b-f11f-4c74-b9da-514853915316","resolution":{"observed_at":"2026-08-01T23:59:54.523684Z","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":"2026-08-01T23:59:54.692751Z","title":"Firmbach, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:54.692751Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:d220ff3d8e177fda0a16d8ca16041dd79aaa01638ddb3bd8860ab78d72cb39cd","observation_id":"86250b87-33d0-47bf-8a7c-1c14764d3f5d","resolution":{"observed_at":"2026-08-01T23:59:54.692751Z","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":"2026-08-01T23:59:54.880612Z","title":"Edelvik, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:54.880612Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:b0c4c1104f49f16d150013e5ba1889f9a952fb1c85aeb93c5c0d60894fe0b92b","observation_id":"d0e24b29-0378-48de-beef-e3463bbeb136","resolution":{"observed_at":"2026-08-01T23:59:54.880612Z","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":"2026-08-01T23:59:55.002387Z","title":"Bensoussan, J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:55.002387Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:8cadeb07d439830b9549344a2ca2f3a379d596f35bcbe14c4b93755114eeb5ba","observation_id":"411eae11-76a9-46cd-b77e-7dfd4be0778f","resolution":{"observed_at":"2026-08-01T23:59:55.002387Z","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":"2026-08-01T23:59:55.087407Z","title":"Efendiev, T","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:55.087407Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:5152e26a2ba9993f611a12b0594bc3c41e29b1f28b3e4fafec4ecd3530b88d9c","observation_id":"308c989d-3d6f-4e99-a045-f6af5ce7ac6b","resolution":{"observed_at":"2026-08-01T23:59:55.087407Z","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":"2026-08-01T23:59:55.222149Z","title":"Weinan, B","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:55.222149Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:4c58bd2da2f729f60af6558acc5d536891c6d4be56848e75326bec13f832002e","observation_id":"c661a4db-265e-4eb6-a61c-49aee222c2cf","resolution":{"observed_at":"2026-08-01T23:59:55.222149Z","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":"2026-08-01T23:59:55.363454Z","title":"Henning, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:55.363454Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:a1175af8a57b3dc7c731dab6574634a8053d1fcd7d1cad7f800f9bc9ae5e76a0","observation_id":"8e4fe933-0317-4a67-8e48-68e69b08dd7e","resolution":{"observed_at":"2026-08-01T23:59:55.363454Z","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":"2026-08-01T23:59:55.512786Z","title":"Benner, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:55.512786Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:6ab60cbb471e5c8b85556b69e3b77828d81c48f7dbd4f0f83026125cb55939b6","observation_id":"2ea1087b-e321-4309-aee1-9bee9c0d1e32","resolution":{"observed_at":"2026-08-01T23:59:55.512786Z","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":"2026-08-01T23:59:55.667724Z","title":"Quarteroni, A","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:55.667724Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:7d0bebf4968e4564415bf9d1451c31e17b85f6a8b964a669296d016703a73fb6","observation_id":"4a5483f5-1c86-4e4f-b3aa-0b3e0fa5dd72","resolution":{"observed_at":"2026-08-01T23:59:55.667724Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18708","last_updated":"2025-04-02T18:37:59Z","snapshot_observed_at":"2026-07-06T20:28:38.345613Z","submitted_at":"2025-01-30T19:09:38Z","title":"Combining physics-based and data-driven models: advancing the frontiers of research with Scientific Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18708","snapshot_observed_at":"2026-08-01T23:59:55.848929Z","title":"Quarteroni, P","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:55.848929Z"},"links":{"cited_paper":"/paper/2501.18708","citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:191f8d6d370ac3011441d975ae8ef068d4079d75ea6791736ac5543fe5ff9d29","observation_id":"e30ba4be-7ecf-4723-9397-996671c23617","resolution":{"observed_at":"2026-08-01T23:59:55.848929Z","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":"2026-08-01T23:59:56.015184Z","title":"Berner, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.015184Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:c67a7921ae7797ffff12b38fae62ed731d92eca69fcb0496c08be9ea6cbf64c0","observation_id":"14a20d69-7ce7-4c0b-8a20-73bcccba5f1d","resolution":{"observed_at":"2026-08-01T23:59:56.015184Z","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":"2026-08-01T23:59:56.140671Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.140671Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:d8f61f1450c2143a6fda4a7ce2b77bcfa6e70c760c615b956f5384d3827124c2","observation_id":"2f36caf7-3c6a-4d5d-bc4f-e565841e0045","resolution":{"observed_at":"2026-08-01T23:59:56.140671Z","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":"2026-08-01T23:59:56.245867Z","title":"Boullé, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.245867Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:dd0310dd9740e631355bfd308a6f1db8ddef54d76996af2f0a2979439f7ad3c8","observation_id":"00d64693-5592-41fb-94bf-3575f6f77667","resolution":{"observed_at":"2026-08-01T23:59:56.245867Z","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":"2026-08-01T23:59:56.338385Z","title":"Quarteroni, Domain decomposition methods, in: Numerical models for differential problems, Springer, 2017, pp","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.338385Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:3ed6e2318f445463691190630fad7018d62b17e22ab06f13f4fc8956ccf70d1e","observation_id":"fdb53dfa-774c-4354-9d38-19f338722a05","resolution":{"observed_at":"2026-08-01T23:59:56.338385Z","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":"2026-08-01T23:59:56.445370Z","title":"Toselli, O","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.445370Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:a82f4a8e584a0729c2e957eddc6b214890100726618d2e659a99355b77622f3c","observation_id":"70ca81c3-fc3a-43f6-ba28-dac827003704","resolution":{"observed_at":"2026-08-01T23:59:56.445370Z","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":"2026-08-01T23:59:56.572874Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.572874Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:16e45d4631aad763cebebe00e5bf4e6876397d49939c0bc85130581e548b58c0","observation_id":"62c2ea4e-f9aa-4671-946e-5b32355a70bd","resolution":{"observed_at":"2026-08-01T23:59:56.572874Z","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":"2026-08-01T23:59:56.661020Z","title":"Discacciati, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.661020Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:44e55a96f82fada155fa7d06ed3b6fd30d384919871efd0f884605562e1ac419","observation_id":"7d1de941-dc9c-41f4-b1ad-23dfba5ac8bb","resolution":{"observed_at":"2026-08-01T23:59:56.661020Z","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":"2026-08-01T23:59:56.732703Z","title":"Taddei, X","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.732703Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:d48af69745e3547614ee9b36f9663ac6e89d3a4fe1cb6c236074cd978d59f0cf","observation_id":"967af035-02f9-46f7-875d-bb05cf8939eb","resolution":{"observed_at":"2026-08-01T23:59:56.732703Z","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":"2026-08-01T23:59:56.815048Z","title":"Farcas, R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.815048Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:00d769f41080494efdbdc1c1a2a84d0d1404f1bff66d80ffc8197930b546d303","observation_id":"1e0bdf7d-c6f0-495a-ba78-c16494bdc1c1","resolution":{"observed_at":"2026-08-01T23:59:56.815048Z","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":"2026-08-01T23:59:56.860851Z","title":"Heinlein, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.860851Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:8329e1d3a2dc739f4417e0ff3a97964fac7a92bcce90e29e6f9b6e4e7327656c","observation_id":"598d4c87-d0a5-4c8e-82c2-7841e316dc14","resolution":{"observed_at":"2026-08-01T23:59:56.860851Z","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":"2026-08-01T23:59:56.929575Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:56.929575Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:38978a0b71db54f56c2849c8f7fac3e4156ad4cf5eaca31dc2deb4c239f6c0b8","observation_id":"d7a64f8d-7380-4d30-9976-8acc2dad4be7","resolution":{"observed_at":"2026-08-01T23:59:56.929575Z","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":"2026-08-01T23:59:57.009735Z","title":"Laurino, P","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.009735Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:d89dcd90caf664c87649b338b804559626aaad683f92e5975295b9d5dadf379b","observation_id":"3897986f-a0af-4f52-9df6-de0ccdfe519c","resolution":{"observed_at":"2026-08-01T23:59:57.009735Z","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":"2026-08-01T23:59:57.072952Z","title":"Kuchta, F","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.072952Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:4f8051f9796bc3e6149fa367eb575637a0e535ea0532653dc04490766a6f6daf","observation_id":"fe8320bc-5e51-4b47-91bc-b3f371552133","resolution":{"observed_at":"2026-08-01T23:59:57.072952Z","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":"2026-08-01T23:59:57.136117Z","title":"Heltai, P","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.136117Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:bbc40eb957f63ed2bd370a5e7b8e796ee6cb4d785e0da9b7e140d8873a31040b","observation_id":"2e040af9-b37e-4159-829c-6eae289ba1a7","resolution":{"observed_at":"2026-08-01T23:59:57.136117Z","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":"2026-08-01T23:59:57.199252Z","title":"Klawonn, P","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.199252Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:c42397e6c46a8457d9591e6dc41db7ac9e5c1243ceb56bf2ca666232e2fa6fd5","observation_id":"92c0702c-9a5c-4241-b7e3-bc8e4b5e7f68","resolution":{"observed_at":"2026-08-01T23:59:57.199252Z","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":"2026-08-01T23:59:57.250365Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.250365Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:e139b5171d2bef76e04bdc9b1f3e1547ce60ea55c9942e1a7c1c16bfd9cfa26e","observation_id":"292fc720-c113-4c45-aa59-0f68f01e0464","resolution":{"observed_at":"2026-08-01T23:59:57.250365Z","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":"2026-08-01T23:59:57.323555Z","title":"Vitullo, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.323555Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:e1a911ff79bec29b628efae5dae169085b9d657f68cc126665fc904199417b8d","observation_id":"aae12cf5-65de-476b-b748-19e5d9c3106a","resolution":{"observed_at":"2026-08-01T23:59:57.323555Z","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":"2026-08-01T23:59:57.401969Z","title":"Hesthaven, S","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.401969Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:341372c8dc3960b5d111c4a56542ad3a7870fe8cb15a6eac3154efa15f82b257","observation_id":"dcc19da7-6716-4c11-9e13-1d150e91e838","resolution":{"observed_at":"2026-08-01T23:59:57.401969Z","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":"2026-08-01T23:59:57.474298Z","title":"Glorot, Y","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.474298Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:3d033409b606ce272bb64c339384b6c6720dd4620616cd9ff00bbd79fac46b62","observation_id":"6a89db9b-d9ef-4d08-a7b8-18b86f56d275","resolution":{"observed_at":"2026-08-01T23:59:57.474298Z","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":"2026-08-01T23:59:57.532237Z","title":"Kutyniok, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.532237Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:27eaedde1135dc85c92a04fac882d72f18e234fa09103ee941924a7f020b9017","observation_id":"1ca81096-9e32-4c81-b2f1-f923a0a0376f","resolution":{"observed_at":"2026-08-01T23:59:57.532237Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.01703","last_updated":"2019-12-03T22:06:05Z","snapshot_observed_at":"2026-07-06T08:41:49.632205Z","submitted_at":"2019-12-03T22:06:05Z","title":"PyTorch: An Imperative Style, High-Performance Deep Learning Library","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.01703","snapshot_observed_at":"2026-08-01T23:59:57.626947Z","title":"Paszke, Pytorch: An imperative style, high-performance deep learning library, arXiv preprint arXiv:1912.01703 (2019)","venue":null,"work_id":null,"year":1912},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.626947Z"},"links":{"cited_paper":"/paper/1912.01703","citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:75dea184fa922adedb396a3a62e48281ca9327113d198f400b0f2cf80171c0b4","observation_id":"ceb1758e-4b50-4a1b-a8a2-1cec37f11313","resolution":{"observed_at":"2026-08-01T23:59:57.626947Z","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":"2026-08-01T23:59:57.715287Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.715287Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:7bc6d7d948c125f320d6665fddfc32b07ca2d7ed3403a2ef141d640afc09d589","observation_id":"edec1ed8-5acc-48cb-98b8-94d67a2c0764","resolution":{"observed_at":"2026-08-01T23:59:57.715287Z","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":"2026-08-01T23:59:57.808019Z","title":"Raina, A","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.808019Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:74a8abada6d09e16183ea9f883b75d587fe05d3389ab0d887d9551af17f4f5a7","observation_id":"5954351c-dd5c-4f46-8419-53fe175a7099","resolution":{"observed_at":"2026-08-01T23:59:57.808019Z","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":"2026-08-01T23:59:57.867594Z","title":"Assume thatu∈ Vis the unique fixed point ofDD, namely u=DD(u)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T23:59:57.867594Z"},"links":{"citing_paper":"/paper/2607.15171"},"observation_digest":"sha256:c517382da793eaf30d4d559159d6620dd7c49fa918c74772b41d119a4936f511","observation_id":"3c1536b5-de60-42fb-9e7b-1eeb68278cb9","resolution":{"observed_at":"2026-08-01T23:59:57.867594Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.15171","last_updated":"2026-07-27T11:25:18Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-06T19:25:20.299026Z","submitted_at":"2026-07-16T16:21:33Z","title":"Multiscale Mixed-Dimensional Simulation via Domain Decomposition and Non-Intrusive Neural Model Order Reduction"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":42,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":42},"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 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.15171."}