{"as_of":"2026-08-21T13:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a881081edf3e5e00617492e42e8be1405d941d1cfbd66336b4e08a4f7565e1c0","coverage":[{"denominator":103,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T21:02:04.142410Z","state":"measured"},{"denominator":101,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":101,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-16T23:02:47.651345Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-16T23:03:38.796606Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"cited_work":{"arxiv_id":"2508.09589","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.09589","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Alexandersen, M","venue":null,"work_id":"d29d9c11-5489-4e85-b466-298a504a6bcd","year":2025},"citing_paper":{"arxiv_id":"2512.09154","last_updated":"2026-05-04T15:54:47Z","snapshot_observed_at":"2026-08-16T19:20:01.139614Z","submitted_at":"2025-12-09T22:08:50Z","title":"PILL-CoDe: Inverse Design of Polypills via Automatic Differentiation for Prescribed Drug-Release Kinetics","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-16T23:02:47.651345Z"},"links":{"cited_paper":"/paper/2508.09589","citing_paper":"/paper/2512.09154"},"observation_digest":"sha256:163a5bbdfdd382d44142864503ad542e143d268222727cb4dc5e27547dd20175","observation_id":"e368b1b4-5576-4a52-9d63-724d22510fcb","resolution":{"observed_at":"2026-05-16T23:03:38.798803Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.09589/citation-record","integrity":"/paper/2508.09589/integrity","json":"/paper/2508.09589/citation-record.json","paper":"/paper/2508.09589"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:01:59.319260Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T21:01:59.319260Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:0cc24af43debdb0ab1c24895e99fa146899c0f96dddd223b73975ccb8411f50b","observation_id":"19dba861-c498-4ab7-b0da-eca3e0dcbd44","resolution":{"observed_at":"2026-08-05T21:01:59.319260Z","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":"2026-08-05T21:01:59.390378Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T21:01:59.390378Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:258374b21d60b893b2922a66dfed0cb5435b45bfc3f559c5f84395cc8fb4d74c","observation_id":"12159303-c56a-41db-8838-4a79162bb9d5","resolution":{"observed_at":"2026-08-05T21:01:59.390378Z","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":"2026-08-05T21:01:59.463286Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T21:01:59.463286Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:d3bea8057ea5f86e3d23979ef91d47eaa881fe72476513ab1f7206b2735b856e","observation_id":"2a7f8766-1672-4ec7-aeb6-2984727856d3","resolution":{"observed_at":"2026-08-05T21:01:59.463286Z","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":"5482.14655","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.981443Z","title":null,"venue":null,"work_id":"45056d4c-5c95-40e8-b25e-6a232f6d1049","year":1967},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T21:01:59.530017Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:24945b76a84b146714c8d625726b3e749e1d4048cb334f8e213a162a2b723b48","observation_id":"bad04f8d-bdf0-43db-9aeb-d0c78dc3cc40","resolution":{"observed_at":"2026-08-05T21:02:05.985531Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11831-021-09544-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Mukherjee, D","venue":"Archives of Computational Methods in Engineering","work_id":"f94273ed-974f-4a54-b75a-f71e9c168fab","year":2021},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T21:01:59.610218Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:09ec02cf9c189573cfb582eb7bf2324489c0a9ee8f1ad2b8f90ad73deb4c8001","observation_id":"4483ab7e-adac-4994-ae17-347529c123a3","resolution":{"observed_at":"2026-08-05T21:02:04.568730Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:01:59.720394Z","title":"Borrvall, J","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T21:01:59.720394Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:72a4e09d479d762acbf7214ed52bbadb6baf8c5d49e31eb307529cc0e2464cdc","observation_id":"9945d833-0379-4b21-b98f-4447c1310445","resolution":{"observed_at":"2026-08-05T21:01:59.720394Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-007-0190-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Evgrafov, C","venue":"Structural and Multidisciplinary Optimization","work_id":"84a8aad1-7ed9-43a9-825e-646797caf3e7","year":2008},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T21:01:59.834789Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:686cdac2ef95a43f5becb0731c462a968813388e0918620537ec943236f4e695","observation_id":"ba406fb3-b15f-4bf4-b0f8-31729ad5a359","resolution":{"observed_at":"2026-08-05T21:02:04.553069Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:00.085340Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:00.085340Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:cf311c6b7791c5cd019d9faa9a54585c88579caec2231a9d0b0ccf1ac78bbfb5","observation_id":"9b3de33b-9849-4ce2-846b-44c5be39dcc7","resolution":{"observed_at":"2026-08-05T21:02:00.085340Z","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":"2026-08-05T21:02:00.251902Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:00.251902Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:75f19493295403703efd20914e4a09b5578f685194462a15896e511a4dbbb008","observation_id":"b32614db-5aee-4eef-b3c4-0f37e0c157cc","resolution":{"observed_at":"2026-08-05T21:02:00.251902Z","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":"2026-08-05T21:02:00.459708Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:00.459708Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:c3756a5e20bd809865699504c568f776f40da495729713b22cbc6c6a7e62f57e","observation_id":"100bb5d5-c401-4eff-9e22-2e2904645ee9","resolution":{"observed_at":"2026-08-05T21:02:00.459708Z","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":"2026-08-05T21:02:00.601520Z","title":"Balay, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:00.601520Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:332ba196c2a46875b2ae301c1e4d97d81b64ba3b38848e53815196e7721a3718","observation_id":"49674e31-7ccf-4eb7-bbf2-db682f051c0f","resolution":{"observed_at":"2026-08-05T21:02:00.601520Z","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":"2026-08-05T21:02:00.714655Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:00.714655Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:f2cade34bc75bf380967f58e1236b262a13bc2cb121f92b90a9bd20dd3354055","observation_id":"cf771a59-8fb0-47f1-8480-1e9a889861d1","resolution":{"observed_at":"2026-08-05T21:02:00.714655Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s41467-020-16599-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Baandrup, O","venue":"Nature Communications","work_id":"66e15ddf-2753-47f5-8555-e71cb00e84c6","year":2020},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:00.765537Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:d1304ed0209ffa4b85309fe096b7d900cca317642c505e08228e18a837071aee","observation_id":"0468693b-fb1b-4f76-af54-a2092d9a1bb7","resolution":{"observed_at":"2026-08-05T21:02:04.521415Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:00.828627Z","title":"Alexandersen, O","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:00.828627Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:7b874971dcace2b4b3b49bd67dcad7327ece7570c473856433e25af5db739f90","observation_id":"6b351d78-3a1e-41c4-a011-19d071af58fa","resolution":{"observed_at":"2026-08-05T21:02:00.828627Z","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":"2020.12054","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.908514Z","title":null,"venue":null,"work_id":"b44fc599-34b1-4002-bef3-31fc43863304","year":2020},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:00.898774Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:c23a0ac6ed55ec18bd83bda068513edcb3561bf8fd959b108761e62fd1cf344b","observation_id":"d4509ca0-6c03-4bc0-8639-ecea056b9037","resolution":{"observed_at":"2026-08-05T21:02:05.912711Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-022-03449-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Rogi ´e, C","venue":"Structural and Multidisciplinary Optimization","work_id":"3ca3e358-5293-4433-9efd-98089ea1705c","year":2022},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.039821Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:228e4d1e90387dad6b47935e90a8a301571e94df7a7965b40c1262ee2b8ba455","observation_id":"5b85c01f-7d6a-4eda-bb0f-ebe31f02e462","resolution":{"observed_at":"2026-08-05T21:02:04.505596Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.06850","last_updated":"2025-01-13T07:26:48Z","snapshot_observed_at":"2026-08-16T13:11:07.760349Z","submitted_at":"2024-10-09T13:12:20Z","title":"A robust solver for large-scale heat transfer topology optimization","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.06850","snapshot_observed_at":"2026-08-05T21:02:01.144743Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.144743Z"},"links":{"cited_paper":"/paper/2410.06850","citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:8b7eeb8aed2074c654f1a832dbe226300d9dd85f88e5b89e394292e988a07429","observation_id":"8cbb6000-e2db-4002-8d94-e322d8f9bad2","resolution":{"observed_at":"2026-08-05T21:02:01.144743Z","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":"2026-08-05T21:02:01.258228Z","title":"Herrero-P ´erez, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.258228Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:cd1bcd9305d0e4d090b168d02a1167efa48a05d7fd2253af00c46fe402dad900","observation_id":"055f387f-15f6-4067-b9ec-afe7c68b2741","resolution":{"observed_at":"2026-08-05T21:02:01.258228Z","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":"2024.10371","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.827569Z","title":null,"venue":null,"work_id":"91dc0f08-3179-4706-8a51-d3b9c65b8cdf","year":2024},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.375808Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:cc889d6549c05989f1688ed9f73befaafe56ec506523fe083e375d73c5154e50","observation_id":"e71b8119-40e9-4622-8a45-54b3f8935681","resolution":{"observed_at":"2026-08-05T21:02:05.831899Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01195945","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Structural and Multidisciplinary Optimization","work_id":"4938e575-8522-45de-9f01-ec774acf2397","year":1999},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.480991Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:e38c9d7082a878776e64970336c926d34b884a5fb289ee7f82d5e4cb73603fc2","observation_id":"b592b177-49a1-43ed-b6bc-80059e31fa17","resolution":{"observed_at":"2026-08-05T21:02:04.492483Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1080/01495730151078153","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of Thermal Stresses","work_id":"9cca4f32-8cc1-4cfb-ae10-6b8ced46ccaf","year":2001},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.560376Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:9cef9987abca50f4a527af7dc48c73dab5ec602ac7bb2027c0a96be03946db88","observation_id":"d1a075d1-2e60-4988-b0e0-dd190e36e3fd","resolution":{"observed_at":"2026-08-05T21:02:04.485017Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"7790.2013","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.745399Z","title":"Zhuang, Z","venue":null,"work_id":"c16d52d8-d51e-4f80-bf7f-3251cc21cf1b","year":2013},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.643531Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:d6c3344b4618538199d9fda838da7e619b71f4c3a97031628553342591148b9d","observation_id":"be57dee8-bcbd-4f49-81e6-6500294f097c","resolution":{"observed_at":"2026-08-05T21:02:05.749646Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"7790.2015","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.669286Z","title":"Zhuang, Z","venue":null,"work_id":"ff33c66e-9155-47b6-9c94-db943a23b873","year":2015},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.749713Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:bb13d5f4d34262c4a34ffa8ae67d0645baf1519327589c7ed6773b0dc9a028d4","observation_id":"b1dc7a1b-6c48-45d7-b2e8-e6413175d606","resolution":{"observed_at":"2026-08-05T21:02:05.673765Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-019-02196-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Structural and Multidisciplinary Optimization","work_id":"e5155265-b5d1-458a-927c-5e462b83526f","year":2019},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.857707Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:fdf6ff482db59d1dfc6c4901fb20b5245ca868766590f5fad2fe61bf096b36d3","observation_id":"8adbd61e-4c5d-41cb-af49-d6c7d8ce8399","resolution":{"observed_at":"2026-08-05T21:02:04.477312Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2020.11968","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.597112Z","title":null,"venue":null,"work_id":"16518183-737a-4942-8be9-753b1a2bc89f","year":2020},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:01.973890Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:925df96bab9b2c3dad86a60280c2a0f8c650e3618905326d4fa524eb10d77292","observation_id":"13ef831f-1ec7-42dd-a12c-06eb6580fc5c","resolution":{"observed_at":"2026-08-05T21:02:05.601177Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"publication/2676799","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.520339Z","title":"Srinivas, G","venue":null,"work_id":"cc275fc8-b93b-4a9d-a2c7-6097c3b53911","year":2006},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.077294Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:1c1ab2ece385a12283c0391674c517fc374b9cc7e7d3b69866a2526d8ab6d9d3","observation_id":"51cf5d97-bd7e-448c-b1e0-08f67f46fa3d","resolution":{"observed_at":"2026-08-05T21:02:05.524603Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ijheatmasstransfer.2017.05.098","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Pizzolato, A","venue":"International Journal of Heat and Mass Transfer","work_id":"2e4cbcb8-49ef-45dd-8859-dbbe171ee432","year":2017},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.175409Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:38c47992d20c462749b21f3b70619b1fe3b2599a0934c21782431233c1d59c3f","observation_id":"880d72bf-e091-4f90-a6a5-88433f20e60f","resolution":{"observed_at":"2026-08-05T21:02:04.469437Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-019-02375-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Lundgaard, K","venue":"Structural and Multidisciplinary Optimization","work_id":"dfa57ab6-031e-42bf-8a6f-01da7b841f8f","year":2019},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.243744Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:ad152a85a743d1df8e797855013f0eeaab6f1705c8347405a7f8f932f1a4414e","observation_id":"7b9843c5-08bc-4c71-b595-fc44dfb3fae5","resolution":{"observed_at":"2026-08-05T21:02:04.461573Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2020.10657","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.447125Z","title":null,"venue":null,"work_id":"d74de6c5-8656-4ce5-9277-bc1e2ff93ecf","year":2021},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.354234Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:54af7d79091d30ee5885b192de0e372da325bec40e7ba4635bf232f0c54b2f75","observation_id":"c7ca6b39-0c2e-466a-9a2b-06fff4c50f0c","resolution":{"observed_at":"2026-08-05T21:02:05.451225Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:02.472506Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.472506Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:51f22f0b37c8cd9e9e5989306ded4ceecde2971dc90c6f21f8df89ed514b67be","observation_id":"22db84a8-5a56-4e04-8ea2-026726e5e6cc","resolution":{"observed_at":"2026-08-05T21:02:02.472506Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.finel.2003.05.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Finite Elements in Analysis and Design","work_id":"160f8b67-8125-43df-b58f-6273309af20f","year":2004},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.547291Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:bfe27f0c8d53c601cdf4af626c18c6393edc1dd925738d7baf3ce255f3aa4ff4","observation_id":"65ddad7c-9dcd-4f21-9aa7-8e8b06f1f2c3","resolution":{"observed_at":"2026-08-05T21:02:04.452981Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00366-023-01878-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Engineering With Computers","work_id":"d53166c5-849d-4edd-a3fa-9f0a52215700","year":2024},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.629812Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:bf741ad8a5975342f618e510c91bf4fb01e8b0f0bad478a3b822e1e1bf2ede20","observation_id":"a1e10080-22e3-45e3-8372-6f5ae94a5126","resolution":{"observed_at":"2026-08-05T21:02:04.444910Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/nme.1620371408","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Michaleris, D","venue":"International Journal for Numerical Methods in Engineering","work_id":"bb7f9f66-9ffa-4675-8c78-68f346a531aa","year":1994},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.703200Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:22a8e735252b748ee7c30e103f6c21d50150ce76e10ea838b066896117dfa968","observation_id":"e5be12a6-feca-4778-8651-c3dfdcb024a0","resolution":{"observed_at":"2026-08-05T21:02:04.436679Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-007-0192-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Structural and Multidisciplinary Optimization","work_id":"9aba8ba6-57fb-4e4b-b57f-70126f2f9f03","year":2008},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.721792Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:e9dae69ab7e02c8fdf7521ee30e3ac12d6c782a922b98437eaa4144f955e51ea","observation_id":"2957951f-0931-4f66-9ce5-0f17421e520a","resolution":{"observed_at":"2026-08-05T21:02:04.428353Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.photonics.2013.07.008","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Elesin, B","venue":"Photonics and Nanostructures - Fundamentals and Applications","work_id":"5bc6b1cb-a4e6-4a99-afb4-798f296f8296","year":2014},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:02.861201Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:313d36ecec1296e6de7a4154d51b8372ec8e2a6b852a1956f89e97ac0e04ea97","observation_id":"9503695f-c870-4d5d-8679-27f671ff19a9","resolution":{"observed_at":"2026-08-05T21:02:04.420326Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:03.013325Z","title":"Co ffin, K","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.013325Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:813629515de25d9b1cb4f3d46f42e6d6f65b8acd975e7782c6a8ed06bc60e2f3","observation_id":"706f8b17-5542-4050-94f5-ac55acf84a67","resolution":{"observed_at":"2026-08-05T21:02:03.013325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-022-03312-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Kristiansen, N","venue":"Structural and Multidisciplinary Optimization","work_id":"b93fa350-839b-42c0-aef9-e247ef82e290","year":2022},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.122501Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:75278e960a12f8d2f1bc0437002c6acc753ed7de2091d00d799868f74541ed99","observation_id":"4d24aa4a-14cd-4bef-b483-3a96f65fbcbd","resolution":{"observed_at":"2026-08-05T21:02:04.407136Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-020-02554-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Structural and Multidisciplinary Optimization","work_id":"edf91120-8d7d-4471-a4ac-3679973955cf","year":2020},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.232693Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:fe5152597d037856e8644e655c8a4deabf3023b9b626262c1036ab7494f58117","observation_id":"024cf4f8-3ea9-416f-9653-1f7d6330ef90","resolution":{"observed_at":"2026-08-05T21:02:04.399497Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:03.392844Z","title":"Griewank, Achieving logarithmic growth of temporal and spatial complexity in reverse automatic di fferentiation 1 (1992) 35–54","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.392844Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:1b34123e62692d7545f6336358805434f70d6da9d20d2ec842139cfdf2c12840","observation_id":"b3ea6ccd-cb68-4380-b484-f06d469f624e","resolution":{"observed_at":"2026-08-05T21:02:03.392844Z","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":"2026-08-05T21:02:03.539003Z","title":"Griewank, A","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.539003Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:d0f413322fed73be3334c407928160bde6580c948fb7e7c61795265cb9ff7140","observation_id":"7d207686-07cb-4db3-a8e3-53eac0907e3d","resolution":{"observed_at":"2026-08-05T21:02:03.539003Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/fld.5136","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"International Journal for Numerical Methods in Fluids","work_id":"e513ae94-5d48-4658-a559-590d7c5bc8f4","year":2023},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.647251Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:ee0c06c0f95d3954723ee0fd78c92f6ce0c17308ac268de519d1d2ffbffd0622","observation_id":"f5800027-35be-442b-a62e-d4adac5ae3a1","resolution":{"observed_at":"2026-08-05T21:02:04.391487Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:03.809692Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.809692Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:46d9d238bb38a0c29775198810a321239a69aeb29286e97e9bfd1515ef0b074c","observation_id":"5cc48f8a-77c9-4d26-b96f-59aec4225c84","resolution":{"observed_at":"2026-08-05T21:02:03.809692Z","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":"2026-08-05T21:02:03.969534Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.969534Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:e1cd010652b82dec668d703f11af0ee1525941bad3a52f0982a1064566fc39cf","observation_id":"573cf83c-c971-4ed2-8240-f86a5da1d1eb","resolution":{"observed_at":"2026-08-05T21:02:03.969534Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-018-1922-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Structural and Multidisciplinary Optimization","work_id":"1151cbf9-99ae-45c6-a5ca-2c3d006cc2a5","year":2018},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.995595Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:616a35b09c8f93d9cbd3ae660c653dbd1cf026614d8160932eb697683f6d6522","observation_id":"55319393-404e-4f5e-83b0-e32ed177ea59","resolution":{"observed_at":"2026-08-05T21:02:04.373429Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/nme.7461","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"International Journal for Numerical Methods in Engineering","work_id":"df18bd49-7d16-48fa-a1a4-a6768c20b042","year":2024},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:03.998255Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:7c9fe977f8378f9129cbbe76077272dda77a556f670c4c5c80f4fc5e0c6205d5","observation_id":"801b6613-7d93-4d99-b22a-f346ee8e35c5","resolution":{"observed_at":"2026-08-05T21:02:04.364545Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.applthermaleng.2019.03.058","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Applied Thermal Engineering","work_id":"adfab7e6-683e-4e41-9da6-44df6e058d29","year":2019},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.000905Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:2d67402e8bbfd112c517dd759832f33cd0c78125fffce6ff09eadc5bdf75ee04","observation_id":"ef9def49-b08f-4495-991e-8759838f5ed6","resolution":{"observed_at":"2026-08-05T21:02:04.356774Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-08-06T00:19:26.847347+00:00","source":"paper_reference_links","state":"open"},"event_date":"2019-11-26","event_type":"correction","notice_doi":"10.1016/j.applthermaleng.2019.114690","provenance":{"observed_at":"2026-07-11T03:12:04.791382+00:00","source":"crossref","source_record_id":"10.1016/j.applthermaleng.2019.114690->10.1016/j.applthermaleng.2019.03.058:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2021.12137","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.315357Z","title":null,"venue":null,"work_id":"da9794fc-bc5a-4437-bef6-db072f537418","year":2021},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.003644Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:68ea1ae4fe9b3a7d4ac9db91cfcf5357e096fa49b8c2e40647a1074c15a955e6","observation_id":"8c5036c4-6d62-411f-8be5-b85c9f1589d4","resolution":{"observed_at":"2026-08-05T21:02:05.319414Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2025.12708","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.227704Z","title":"Onodera, T","venue":null,"work_id":"fed55dbf-7c0d-4b4e-b789-651bf48b797a","year":2025},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.006279Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:452828663a1f163fbc6e0664da8df7dc812060a8302a7450755d609b9fd3586d","observation_id":"8a2ae43a-ea8e-4e0b-82db-e26049883a41","resolution":{"observed_at":"2026-08-05T21:02:05.231787Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.009057Z","title":"Isiklar, R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.009057Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:2d5647f0af4e37c1fc70ec1b54a91c435260329f464d5ae520bf0c0a1a8d2430","observation_id":"872490ed-af04-4406-a6d2-df2fe5a643c7","resolution":{"observed_at":"2026-08-05T21:02:04.009057Z","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":"2024.12581","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.156921Z","title":null,"venue":null,"work_id":"dc08d50e-9421-4721-954f-c824e17428d1","year":2024},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.015028Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:7a0bd86873b1ebd3082777adb445b95d6785bf264bdc2c1e6aafb3adf37d79c3","observation_id":"2c4c245c-79b1-4f2f-b0cf-cbd8daab5d16","resolution":{"observed_at":"2026-08-05T21:02:05.160940Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/nme.5635","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"International Journal for Numerical Methods in Engineering","work_id":"370e21c0-96ee-406e-8fc1-b959729758f8","year":2018},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.017926Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:d81343240544f9fd5b8e73f486d234fffdc9dca382d0a752aca7a0db7ef6b7cd","observation_id":"8e515c97-308b-48f6-86eb-025ac01c444c","resolution":{"observed_at":"2026-08-05T21:02:04.348365Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.020567Z","title":"van der Kolk, E","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.020567Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:3f3f7bb9e8ecbf8e2a89847f83a5f71fa743781a2038a6e3e0adc907b91829de","observation_id":"d406564f-fdec-4aed-880c-32530c7804a4","resolution":{"observed_at":"2026-08-05T21:02:04.020567Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.enganabound.2024.03.001","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Engineering Analysis with Boundary Elements","work_id":"3407bcfc-cc42-4074-a7fa-a795016ff167","year":2024},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.023061Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:e93663910473d527ce927251a755d20ef243e0e5558ca50a077d2e6a001d8e2f","observation_id":"fc2fd972-5077-41f1-99ca-b39b3935a65b","resolution":{"observed_at":"2026-08-05T21:02:04.339914Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2025.10619","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:05.082109Z","title":null,"venue":null,"work_id":"a03ef9a2-0eaf-4367-823c-539861d7c672","year":2025},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.025501Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:5e513bcb895ea83c2384c485909b4b118e2adccb26cea35c7275aa6db6ad9a2f","observation_id":"1970ee65-f23a-4190-91aa-3f7250549579","resolution":{"observed_at":"2026-08-05T21:02:05.086718Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.028106Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.028106Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:5c79da07a472fd8ce2c0620bebff86b0f43d51d219670af37502e4e08928d94f","observation_id":"0d58afec-99e7-4f90-9964-4bada77cf369","resolution":{"observed_at":"2026-08-05T21:02:04.028106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00791-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:04.329131Z","title":null,"venue":null,"work_id":"6ac0210a-b468-44b8-b782-f4d13ddbe362","year":2020},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.031097Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:cb08c445fda630c6544865cd6c5bb0dcea871b284595e772841b75a02641b936","observation_id":"0942c81c-ec38-4336-bcf0-616005d5473d","resolution":{"observed_at":"2026-08-05T21:02:04.331808Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.033877Z","title":"Lions, Y","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.033877Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:92d5d05d243db9af845d728bed1905546afa5eba9f209030d4e54bdd316ed72f","observation_id":"f60d20e2-507c-429f-8b04-6982d4065982","resolution":{"observed_at":"2026-08-05T21:02:04.033877Z","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":"2026-08-05T21:02:04.036321Z","title":"Friedho ff, R","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.036321Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:13d83d4b90dd41a72f25791c6323181ef7f2bc938390c2461e278eed6f3a8065","observation_id":"9b30e1b0-20de-4687-9dd2-f7293b1863ca","resolution":{"observed_at":"2026-08-05T21:02:04.036321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/0911049","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"SIAM Journal on Scientific and Statistical Computing","work_id":"53297aff-4d1c-4b60-afb0-589325809a8a","year":1990},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.038862Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:7f0ad6ac8ab96e8938e245d27ea48a1b92a30208b71e795e311bb3e674d4316d","observation_id":"c6678fc1-01e9-4a32-a246-8e10ccf264e9","resolution":{"observed_at":"2026-08-05T21:02:04.319004Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.041610Z","title":"Emmett, M","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.041610Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:2e7bc261f2a95338c4b8609bbc95cb0cb856b2d06fa8ba98013e546be6ee0ed9","observation_id":"cda710ff-3635-42e3-8f9f-283bd0d6d320","resolution":{"observed_at":"2026-08-05T21:02:04.041610Z","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":"2026-08-05T21:02:04.044403Z","title":"Hahne, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.044403Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:c4b1bd494dc7e4dfc6a4061941d395a170ad0945e6f9769c01be75fb2e778193","observation_id":"adc9b40d-dc97-4a27-9049-504128a5b9bf","resolution":{"observed_at":"2026-08-05T21:02:04.044403Z","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":"2026-08-05T21:02:04.046803Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.046803Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:646dfce081371ca6def422b2f048ea81a35f8f3957818357b90d9b1a074d3033","observation_id":"cd024dfb-7e23-4fa9-89c6-b55877b15803","resolution":{"observed_at":"2026-08-05T21:02:04.046803Z","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":"2026-08-05T21:02:04.049138Z","title":"G ¨otschel, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.049138Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:cbafe2423d731aa1fdb55ac8f3080ff4267c672eadaaeea8cfb2dafd3daea836","observation_id":"2a1e7b7d-23ce-445e-8fc7-b6334e28620e","resolution":{"observed_at":"2026-08-05T21:02:04.049138Z","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":"2026-08-05T21:02:04.051456Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.051456Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:0856e60adcf127bd8188134b9d469aaf2122ff333796136148675aaf8520ffcf","observation_id":"62e03318-056d-4e52-8314-80546415208c","resolution":{"observed_at":"2026-08-05T21:02:04.051456Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19030","last_updated":"2024-11-28T10:16:00Z","snapshot_observed_at":"2026-08-18T03:13:36.709196Z","submitted_at":"2024-11-28T10:16:00Z","title":"One-shot Parareal Approach for Topology Optimisation of Transient Heat Flow","version":1},"cited_work":{"arxiv_id":"2411.19030","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.19030","snapshot_observed_at":"2026-08-05T21:02:04.835798Z","title":"One-shot Parareal Approach for Topology Optimisation of Transient Heat Flow","venue":"cs.CE","work_id":"ca052f82-2baf-4289-87c9-59936ac6e70e","year":2024},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.053897Z"},"links":{"cited_paper":"/paper/2411.19030","citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:dfd03f44bf78b28d9667b3c19e8b50291e1ce73c04bdd2defbf4f8c68b5a378e","observation_id":"e0b03e3b-c53e-49b8-9a31-75bcb8386988","resolution":{"observed_at":"2026-08-05T21:02:04.839512Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.056861Z","title":"Hackbusch, Parabolic multi-grid methods, in: R","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.056861Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:74bf6ad380da6c58e8cd00484d0b0939255d58f39938e0c7c5153293c97bfbb6","observation_id":"0b6434ac-97bf-4d45-b372-d7ece2b04b39","resolution":{"observed_at":"2026-08-05T21:02:04.056861Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00791-017-0283-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Computing and Visualization in Science","work_id":"291c8015-0060-4d75-9b4b-9d37341c11c1","year":2017},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.059575Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:64ab14e3e6e03a238b7c1e6b851f02c58e81ccec056e2bbe123d6980eed9b5ca","observation_id":"05debd00-71fb-440c-8722-50e58f341d91","resolution":{"observed_at":"2026-08-05T21:02:04.310623Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.061984Z","title":"Horton, S","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.061984Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:b17466a58fc37e35c8462d43eeb5c61ca7bb5e86f69760113db1998df7845b56","observation_id":"ca802310-4865-4938-a1e0-a786fe826472","resolution":{"observed_at":"2026-08-05T21:02:04.061984Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.10168","last_updated":"2025-05-15T10:54:11Z","snapshot_observed_at":"2026-08-15T21:12:54.638353Z","submitted_at":"2025-05-15T10:54:11Z","title":"Space-Time Multigrid Methods Suitable for Topology Optimisation of Transient Heat Conduction","version":1},"cited_work":{"arxiv_id":"2505.10168","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.10168","snapshot_observed_at":"2026-08-05T21:02:04.822080Z","title":"Space-Time Multigrid Methods Suitable for Topology Optimisation of Transient Heat Conduction","venue":"cs.CE","work_id":"0ce7f0e9-dea8-400a-94fb-eceae1bf6dc6","year":2025},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.064389Z"},"links":{"cited_paper":"/paper/2505.10168","citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:af09bad0979e77f66a8d5c8bb49c5b63f8b075ab52e6a87bd0368f2f43178a16","observation_id":"2fbf8cdb-6f6a-448a-b218-864098b6356c","resolution":{"observed_at":"2026-08-05T21:02:04.825598Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2680.33283","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:04.808117Z","title":"Alexandersen, Towards fast topology optimisation of transient problems: parallel space-time multigrid, 2023","venue":null,"work_id":"17438b31-0482-4e32-8434-65b47c9f9d9f","year":2023},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.067172Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:edb30dbd4cec4d65d7afa452235aaf87530d79d32f3dca6e953a293dbaf1f588","observation_id":"b46f91a9-1225-44e4-b43b-01dc9c70d0b5","resolution":{"observed_at":"2026-08-05T21:02:04.812629Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"6102.10563","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:04.740008Z","title":"Alexandersen, M","venue":null,"work_id":"bc571834-b211-471a-85c0-21565e677710","year":2025},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.069464Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:de56d8d4c8b21bf427232a13d28cf2b0ead64e68cad1378b611c5de59dddb454","observation_id":"9a11cf7f-93de-4df4-87f1-afe4cf71802a","resolution":{"observed_at":"2026-08-05T21:02:04.744553Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.072011Z","title":"Sigmund, K","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.072011Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:9501fa699f5680c7d96fef45f1e8bc464edd3e8926b4f9777f77506186cd08c0","observation_id":"e1c8f84c-65dc-4bcd-b453-a1662b71b1bc","resolution":{"observed_at":"2026-08-05T21:02:04.072011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.cma.2008.10.008","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Computer Methods in Applied Mechanics and Engineering","work_id":"c19fa8c8-db46-4f44-a119-5c2e574c21a1","year":2009},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.074503Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:026ab8f1314f7e202a0dda2e2a5b16daefda05ebf3360090c365ec64a0df6460","observation_id":"3dee605c-1b6b-4fc8-aa66-0ba0283eb9f5","resolution":{"observed_at":"2026-08-05T21:02:04.297446Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.076898Z","title":"Jensen, Optimization of space-time material layout for 1d wave propagation with varying mass and sti ffness parameters, volume 39, Sciendo, 2010, pp","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.076898Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:648bc302edaf7924a0c7a6dabf345921af8dbc4d101defc853e9b7b910523d48","observation_id":"edc0f98e-cc20-41f1-b56e-28859d7e3cee","resolution":{"observed_at":"2026-08-05T21:02:04.076898Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-019-02420-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Structural and Multidisciplinary Optimization","work_id":"e556aa69-d24a-4f39-bdbc-ba43755aa1c3","year":2020},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.079499Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:23fd9df99a37ae7536d8511a687bd858314b829f8275ed26a657344e3cde59e9","observation_id":"6662f70e-92f6-44f6-b4d1-d3f74133d646","resolution":{"observed_at":"2026-08-05T21:02:04.289727Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2005168","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Mathematics of Computation","work_id":"e98f9de1-9857-46fc-b208-8aa141839d15","year":1972},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.081911Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:1a039330216b44dc037af9b548778e5af4aa90481b485a22ebd2794fcf1d7949","observation_id":"ff003b20-6a58-410c-910d-537a34e7333d","resolution":{"observed_at":"2026-08-05T21:02:04.280642Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0025-5718-1981-0595042-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Winther, A stable finite element method for initial-boundary value problems for first-order hyperbolic systems, Mathematics of Compu- tation - Math","venue":"Mathematics of Computation","work_id":"7d7405f7-8cd0-4931-8d30-03a3f9f432a4","year":1981},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.084807Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:3ee1776cd686e688b399bf1b56fc32608eed718e1f47bf8f75de8df8a868cc61","observation_id":"763293ac-c9af-4922-8321-46c38794d906","resolution":{"observed_at":"2026-08-05T21:02:04.272503Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.087241Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.087241Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:18c139636a754efaeb61f28f268e87c6aab599b1b4d2a879caa18aee99fc435e","observation_id":"41db3f18-a130-4117-a727-b3d98c925e4f","resolution":{"observed_at":"2026-08-05T21:02:04.087241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0045-7825(90)90082-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Computer Methods in Applied Mechanics and Engineering","work_id":"9155bc3c-fb12-421e-a8b4-1451534dd70a","year":1990},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.089656Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:c4fd434595f3379dfddc41bb2718c173e72d3a6ae98311e772a57975da93b003","observation_id":"e36851c9-e6c2-4959-8202-5514717f6a41","resolution":{"observed_at":"2026-08-05T21:02:04.263822Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/9783110548488-007","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Steinbach, H","venue":null,"work_id":"6db1922a-7433-479a-aeed-d4c2c686f609","year":2019},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.092021Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:79842eb85f3c5eecd7bc7c574d4f45abaf4cbc2253f58cc7bdbda530414cedfd","observation_id":"8ab332c9-b5ef-4c65-8b88-8b4fda8818cc","resolution":{"observed_at":"2026-08-05T21:02:04.255869Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-030-14244-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Langer, M","venue":"Lecture notes in computational science and engineering","work_id":"60f142cd-3e76-4e2e-b8c5-a8d0492ac6d2","year":2019},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.094571Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:f7eac46359aaf6574eb85b227abfce3d701e85886a41ddb755ab033de53de23b","observation_id":"bc5392cc-cd95-4658-8b41-9fe01796043f","resolution":{"observed_at":"2026-08-05T21:02:04.247159Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.096917Z","title":"von Danwitz, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.096917Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:4aa95f4e473394fe6a9d5ee849653195e26cc32675b3ec1437c18cda98ce0a16","observation_id":"bf97d79d-f208-4a27-b17d-765392394a9c","resolution":{"observed_at":"2026-08-05T21:02:04.096917Z","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":"2026-08-05T21:02:04.099480Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.099480Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:99cd694bd4ca49ff83b73d34c4c6bfe33c376385771bc4569a14fca83d7fef0f","observation_id":"706593be-a21b-463b-ab31-b169cc682feb","resolution":{"observed_at":"2026-08-05T21:02:04.099480Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:04.102044Z","title":"Strang, G","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.102044Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:cde6240aca9b3d0f227644cf536a9ba9e8aeb4cb1c71d3ec8914f482f7009a19","observation_id":"95bb1f9c-af22-49ec-b111-4a08255dd14f","resolution":{"observed_at":"2026-08-05T21:02:04.102044Z","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":"2026-08-05T21:02:04.104412Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.104412Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:0f7afcd7d045277b1387783be6011ba1bd6b182744688380ecfb536b093b30c1","observation_id":"0a85b3c2-602d-4448-bf02-9d543d175926","resolution":{"observed_at":"2026-08-05T21:02:04.104412Z","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":"2000.6436","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:02:04.654763Z","title":"Hansbo, A crank–nicolson type space–time finite element method for computing on moving meshes, Journal of Computational Physics 159 (2000) 274–289","venue":null,"work_id":"5689e8ad-b52d-4df0-a480-d09fdbd3c5a3","year":2000},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.107076Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:6c6179e68552671952d549eabf79ae9d9c8ca282436228682a668884d39f20c7","observation_id":"7b68d01c-5103-47a2-99a7-01bba80dfa72","resolution":{"observed_at":"2026-08-05T21:02:04.659700Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.109584Z","title":"Saad, A flexible inner-outer preconditioned gmres algorithm, SIAM Journal on Scientific Computing 14 (1993) 461–469","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.109584Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:ee5c710dfc5fd0a5af0bac544cf7042a3b4fe320a83cec0a3de3314e9345c1c4","observation_id":"c1f3b4ad-6d1b-4082-9d83-af944cfbc06b","resolution":{"observed_at":"2026-08-05T21:02:04.109584Z","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":"2026-08-05T21:02:04.112111Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.112111Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:dfac224115d3cef28edc00cbbaa70ff93f7ff78c09034f35edfdbe70841b11a1","observation_id":"2c53d944-fe66-4b74-a50d-4969692c999b","resolution":{"observed_at":"2026-08-05T21:02:04.112111Z","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":"2026-08-05T21:02:04.115192Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.115192Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:4a07371c5fde7dc5578d8b3ca3e980260437f9da72d063a7c8d584e03d6f88ef","observation_id":"11b22934-b0eb-459b-bb60-f6bb665798a2","resolution":{"observed_at":"2026-08-05T21:02:04.115192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.amc.2017.08.043","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Applied Mathematics and Computation","work_id":"3121c235-8706-4cfd-9986-b2077c34812f","year":2018},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.117593Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:65bf85cd9101e3af804b89eaee8aacabeee0e07a46828205045fa33399e43dfd","observation_id":"4f12dcb7-91cd-45f1-a34f-9f3ec1370a55","resolution":{"observed_at":"2026-08-05T21:02:04.218761Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.120314Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.120314Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:2821e17fb4c8b2f793b65fc3a54f48f559fcee246479f0f0893b0319c6ffd614","observation_id":"8185306a-9b7c-41c6-b946-7fe43d198d95","resolution":{"observed_at":"2026-08-05T21:02:04.120314Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00158-020-02597-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Structural and Multidisciplinary Optimization","work_id":"7f46206f-29a3-4493-928d-e39a986caebb","year":2020},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.122806Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:1809487ac210c3289041fc0eea848cf6ecc497665577a4a4a9cd25f438e21af5","observation_id":"520d2e2b-5936-49b8-a994-1f5caca78635","resolution":{"observed_at":"2026-08-05T21:02:04.205664Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:04.125137Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.125137Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:868555542485f521ad3eeafa9dad9e329efbaa25dbf65df138ee9f70ac0bbce1","observation_id":"844a076e-db7b-4a2d-a934-003191e11e6d","resolution":{"observed_at":"2026-08-05T21:02:04.125137Z","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":"2026-08-05T21:02:04.127617Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.127617Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:922547a14c558e85f1f03f6158e567ac16c943a667303bf20377f3869feb6b84","observation_id":"4e7fca4c-88eb-431d-a33b-680282c6d97e","resolution":{"observed_at":"2026-08-05T21:02:04.127617Z","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":"2026-08-05T21:02:04.130064Z","title":"Svanberg, The method of moving asymptotes—a new method for structural optimization, International Journal for Numeri- cal Methods in Engineering 24 (1987) 359–373","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.130064Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:6ccc27b80693fc52757504e9be004f31178deaebda79431af611b88d9fc2596d","observation_id":"8115afe2-2dd7-4215-8f53-fa988135f739","resolution":{"observed_at":"2026-08-05T21:02:04.130064Z","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":"2026-08-05T21:02:04.132397Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.132397Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:c7294eb7dbf9ca5760f391d81ca9c88bd7984bf761c569bc66f2e299230ab0cf","observation_id":"3c4c83c7-cb52-43e2-93be-7f930f99083a","resolution":{"observed_at":"2026-08-05T21:02:04.132397Z","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":"2026-08-05T21:02:04.134813Z","title":"Accessed: 2025-07-15","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.134813Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:87d0e86bc63bef40cf29984c54702ac721a852383dcadcd76136d51a42963e80","observation_id":"1e44de45-e8ac-4616-865a-43c5784acfb5","resolution":{"observed_at":"2026-08-05T21:02:04.134813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ijheatmasstransfer.2018.01.114","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"International Journal of Heat and Mass Transfer","work_id":"1c6a42ac-683f-4cb6-817f-bf586aaf61be","year":2018},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.137401Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:69cec1ba7ffdd6ef72a3c7ce6a18fb39c160f5bb76b49a438c7d9e72dd994389","observation_id":"433bbc67-cb95-4b0b-85bb-a4fcb000039f","resolution":{"observed_at":"2026-08-05T21:02:04.191426Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-662-43880-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Lecture notes in computer science","work_id":"9f453942-871b-4b4e-b1e3-b641fef6e044","year":2014},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.139919Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:e22d76a01d7af62836955d1f6b4213ca608f473fb02406bdcf49765b21105291","observation_id":"8f43d33d-5ad4-40ef-a0c7-2636e6e2ba53","resolution":{"observed_at":"2026-08-05T21:02:04.183495Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T21:02:06.000123Z","title":"Alexandersen, B","venue":null,"work_id":"d00e68af-bd57-40d6-9b42-ba2da4cbc950","year":2015},"citing_paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-05T21:02:04.142410Z"},"links":{"citing_paper":"/paper/2508.09589"},"observation_digest":"sha256:bb40aeb0f89dac776e628da95c474980b260b42f6bc81b930c941bf3dce0fd33","observation_id":"77b12359-82f5-4103-95ca-a9000fd231ac","resolution":{"observed_at":"2026-08-05T21:02:06.002824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.09589","last_updated":"2025-08-13T08:07:40Z","latest_version":1,"primary_category":"cs.CE","snapshot_observed_at":"2026-08-10T15:32:00.158492Z","submitted_at":"2025-08-13T08:07:40Z","title":"Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":3,"metadata_mismatch":9,"parse_uncertain":0,"unresolved":45,"verified_exact":42,"verified_fuzzy":1},"total_outbound_references":103},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 100 of 103 outbound references and 1 inbound Pith citation observation for arXiv:2508.09589."}