{"as_of":"2026-08-14T11:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3963d52758b3ff7a03fa943eacaeab2f6c1125f90094c95a6a4fd09a33d9bbbf","coverage":[{"denominator":61,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":61,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T17:24:26.795187Z","state":"measured"},{"denominator":62,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":62,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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":"2026-08-04T09:43:43.853607Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"cited_work":{"arxiv_id":"2507.11130","doi":"10.48550/arxiv.2507.11130","metadata_source":"pith","pith_arxiv_id":"2507.11130","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","venue":"math.NA","work_id":"ea37bc5a-bef2-42ef-8e86-2639c3765df6","year":2025},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-12T21:27:14.351572Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:43.853607Z"},"links":{"cited_paper":"/paper/2507.11130","citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:c83e5b4746356249f2ef9abb9a70f071c6ae257129afb29349df8cda981f377f","observation_id":"1edf9708-f1b7-4d6f-8edd-09a64a537e1e","resolution":{"observed_at":"2026-08-04T09:49:31.384174Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.11130/citation-record","integrity":"/paper/2507.11130/integrity","json":"/paper/2507.11130/citation-record.json","paper":"/paper/2507.11130"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:21.336119Z","title":"all-at-once formulations","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.336119Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:06fa8a77d229ef2b05c9b8cb46e8d30982d46b67caa3ff41d84e6cbd29f8737a","observation_id":"8c42b8c6-7d33-4e7a-9fd9-159d085bb915","resolution":{"observed_at":"2026-08-06T17:24:21.336119Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:32.722327Z","title":"PhD thesis, Technische Universit¨ at M¨ unchen (2014)","venue":null,"work_id":"2c1f2d99-3af0-4d0f-b5b6-97214c8e956a","year":2014},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.418250Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:c10cdf6ae65170305f0875c982d0bb9e41a9908e7b594bcfdf11c551a8339d3c","observation_id":"2bfbd701-b8d8-4e70-9d9d-c0e6e6e0c9de","resolution":{"observed_at":"2026-08-06T17:24:32.790365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:32.486741Z","title":"Springer, Heidelberg (2021)","venue":null,"work_id":"b8d3bb8e-bf3e-4d30-b589-679fb9e77151","year":2021},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.649182Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:66164f4c580d993c8f668721f7051f1e58f8fd76e2d84b300c4de083dec5bf61","observation_id":"4410b2ba-0e2e-486e-91b2-fad8a4b4d2fa","resolution":{"observed_at":"2026-08-06T17:24:32.642576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:21.767121Z","title":"Inverse Problems 31(2), 025006 (2015) https://doi.org/10.1088/0266-5611/31/2/ 025006","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.767121Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:a7b68f8d820d5ee49b24edfaa3c8892e213d9d99e5e508b5e5ea1e609cc17fba","observation_id":"2677ae7b-f5a4-4397-a401-88606b1f1323","resolution":{"observed_at":"2026-08-06T17:24:21.767121Z","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":"2026-08-06T17:24:21.885255Z","title":"Time-dependent problems in imaging and parameter identification, 165–190 (2021) https://doi.org/10.1007/978-3-030-57784-1 6","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.885255Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:f4e06292e66fc4d9c5b5dcc7ef7612f3c73d61cb40ea46bdd03747d9220b8b21","observation_id":"aa2e8ca3-06df-49e7-b2cc-177a6c604638","resolution":{"observed_at":"2026-08-06T17:24:21.885255Z","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":"2026-08-06T17:24:22.020272Z","title":"Mathematical Methods in the Applied Sciences 40(1), 183–204 (2017) https:// doi.org/10.1002/mma.3979","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.020272Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:d7a83ff99cfebe91aeef7a02d4dc3ac9265417db85fdf4b3a910cac8d412649f","observation_id":"2ef18c1e-79cc-4bce-a7d5-f1c4463faf4f","resolution":{"observed_at":"2026-08-06T17:24:22.020272Z","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":"2026-08-06T17:24:22.138477Z","title":"Inverse Problems 33(12), 124004 (2017) https://doi.org/10.1088/1361-6420/aa8d91","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.138477Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:2a32c9031040e579ba1afb5ce7c1edaf3ec20f151704ea4564224e9a4b63e99f","observation_id":"6b0d327c-fbbb-44b6-909a-6624a92aedff","resolution":{"observed_at":"2026-08-06T17:24:22.138477Z","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":"2026-08-06T17:24:22.254634Z","title":"Inverse Problems in Science and Engineering 25(1), 2–26 (2017) https://doi.org/10.1080/17415977.2015.1132713","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.254634Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:01dd75c69732720a79c61e8b94f3c844ee619e7a498a40798bda729f21efff77","observation_id":"cb41c5da-d851-45d7-8173-d166556561fa","resolution":{"observed_at":"2026-08-06T17:24:22.254634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:32.282734Z","title":"Applied Mathe- matical Sciences","venue":null,"work_id":"70e6e22d-31ca-49fc-afec-dda338e1b9fb","year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.312118Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:6f8822cb6d41c71d04215e39abce3934e803412913b6300e8f973419a7be4d27","observation_id":"12a5ec11-00e5-45b4-8244-a8ff0135eb37","resolution":{"observed_at":"2026-08-06T17:24:32.408050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/9783110200072.125","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"In: Sonnendr¨ ucker, E","venue":null,"work_id":"1c761481-b50d-4fe8-8428-cacc66071203","year":2003},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.317764Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:45207cef48fe30d9a3b74a6710e1a95e011bf61969b106b40bd462427b23dde0","observation_id":"95eb217d-258a-48dd-8d8a-a2789568e9fa","resolution":{"observed_at":"2026-08-06T17:24:30.346432Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-1-4020-3122-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"Mathematics and Its Applications, vol","venue":null,"work_id":"7b5ab1d7-4d51-4948-8f7b-4c0300c6518a","year":2004},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.392296Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:1139db07e56a799536f019c412a3bc7888fe2ff8747065b33dc34d51a6e8afb6","observation_id":"0d97189d-37b0-4118-9840-6835ca2158b9","resolution":{"observed_at":"2026-08-06T17:24:30.081586Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s002110050158","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":null,"venue":"Numerische Mathematik","work_id":"c2cfa93e-aac1-4a56-b280-fbc6fa55fea0","year":1995},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.475292Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:ddcf05e31711ee1a66a2d0b94d6946982aac7fbb802b0430f367182e6424f865","observation_id":"625ee3a3-f20c-41b4-8bb3-f6f86f7f43d7","resolution":{"observed_at":"2026-08-06T17:24:29.953523Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:22.544255Z","title":"De Gruyter, Berlin, New York (2008)","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.544255Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:62afdcfae094ee338f9d3d95dd9addaf42376d4c23334a9d63c43e351771d03d","observation_id":"96a39c7f-85bc-405b-96b0-8e6d7436ac04","resolution":{"observed_at":"2026-08-06T17:24:22.544255Z","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":"2026-08-06T17:24:22.606931Z","title":"Springer, New York (1996)","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.606931Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:a11c5b237749ad696c986dd55c0b4d0c17a06212b70b1f6409098125bcdbe76f","observation_id":"b828434b-03b7-474a-b052-5fa274f8a970","resolution":{"observed_at":"2026-08-06T17:24:22.606931Z","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":"10.1088/1361-6420/ad5a35","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Inverse Problems 40(8), 085008 (2024) https://doi.org/10.1088/1361-6420/ad5a35","venue":"Inverse Problems","work_id":"2a128040-60b1-49a3-87cd-1ea999a112fc","year":2024},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.677371Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:976f512553f0d11c28ae02bda6a29c4eb9a7baa8d0f52a40924c926f80444f58","observation_id":"c9884191-6f67-4da4-a359-3af7b8228388","resolution":{"observed_at":"2026-08-06T17:24:29.805072Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:32.057957Z","title":"John Wiley & Sons, Washington, D.C","venue":null,"work_id":"3dd19132-2261-4c00-a006-5303855b7012","year":1977},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.748652Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:bd88d9ecf86b5cd8083c73a0c3eabfb502a7491730f5775e2c2cd920a00913c8","observation_id":"bfa4007a-90ec-4164-b692-c8e94ab2c097","resolution":{"observed_at":"2026-08-06T17:24:32.195557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:31.923195Z","title":"Pitman, Boston (1984)","venue":null,"work_id":"a93235cf-30e6-45cc-8663-2cce63b56063","year":1984},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.869997Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:ffab6ad2865fe85a6192e25055e1f9dcb0e75f5b153862a7caca82fd74d32dce","observation_id":"d750fbff-1a3f-44a7-9d50-478bbf218597","resolution":{"observed_at":"2026-08-06T17:24:31.990955Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:31.789159Z","title":null,"venue":null,"work_id":"21e4536f-3874-406f-863c-d416b9ce277d","year":1992},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.951162Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:7c80068d3c2c814bfa66280a16980588a4a61df55fb2388fbe24f765393eb479","observation_id":"88f8fd73-d782-49a4-b03a-d1e110d90b4b","resolution":{"observed_at":"2026-08-06T17:24:31.857332Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0266-5611/17/6/314","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Inverse Problems 17(6), 1743–1763 (2001) https://doi.org/ 10.1088/0266-5611/17/6/314","venue":"Inverse Problems","work_id":"de375bf7-45cf-4dc0-8b9a-50562ae2606f","year":2001},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.033426Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:5ccf4834071b9d783213071727c88ecb6d7654674b21ac39a53cf07a31c681e2","observation_id":"d15be42b-b214-43a1-8cf3-740113110a00","resolution":{"observed_at":"2026-08-06T17:24:29.701019Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:23.120871Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.120871Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:022afa48baa01a76e80a46f3e352a804837b4b303cf1355ea52448ca69d30c1d","observation_id":"d3ac7178-c262-455e-9d26-3be76db25cd7","resolution":{"observed_at":"2026-08-06T17:24:23.120871Z","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":"10.1088/0266-5611/28/1/015012","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Inverse Problems 28(1), 015012 (2012) https://doi.org/10.1088/0266-5611/28/1/015012","venue":"Inverse Problems","work_id":"78addbba-437d-4a2c-9249-4b6a82101b1d","year":2012},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.201760Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:eaa3d4675aa4a0084177e9ba7280c65a66ebb3abfd6ddcbb822a122148a0ae67","observation_id":"382006a3-b824-49cf-84c4-1101a38c43b6","resolution":{"observed_at":"2026-08-06T17:24:29.577734Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:23.269009Z","title":"Numerische Mathematik 140, 449–478 (2018) https: //doi.org/10.1007/s00211-018-0971-5","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.269009Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:ed067e8010b10c45d29bb732d2fac8a96bd91e994c62d5f46cd894b5b0ddd450","observation_id":"e82ab149-f018-4c27-8f76-a628668c9d88","resolution":{"observed_at":"2026-08-06T17:24:23.269009Z","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":"2026-08-06T17:24:23.342327Z","title":"reduced formulation","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.342327Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:1471808fcceeb0b267c486c19f06308c70c98204c4d4570e217a5861636a0d81","observation_id":"7746262c-6b5d-4b25-a723-56cb6807039b","resolution":{"observed_at":"2026-08-06T17:24:23.342327Z","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":"2026-08-06T17:24:23.399238Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.399238Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:cbf181b8a108af1ebef911c3d5f021b199a9e480796800fea096e213a04c22cf","observation_id":"81bb873e-6a2e-4a5d-974d-1e0887c4d4ac","resolution":{"observed_at":"2026-08-06T17:24:23.399238Z","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":"2026-08-06T17:24:23.473339Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.473339Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:bf002cd7fde3e7bcc5f78260f19193db87f8c424160148745340a90fec82bf88","observation_id":"3a77d156-4639-4724-82b0-7e8caf483310","resolution":{"observed_at":"2026-08-06T17:24:23.473339Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.07015","last_updated":"2024-04-10T14:04:06Z","snapshot_observed_at":"2026-08-13T00:33:24.642219Z","submitted_at":"2024-04-10T14:04:06Z","title":"POD Suboptimal Control of Evolution Problems: Theory and Applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.07015","snapshot_observed_at":"2026-08-06T17:24:23.541091Z","title":"arXiv (2024) https://doi.org/10.48550/arXiv.2404.07015 35","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.541091Z"},"links":{"cited_paper":"/paper/2404.07015","citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:0f6fd9954a0d049f19f51f6546c13f98b25a2c7cfdcb14b5a1ae600840034f36","observation_id":"c69b28f7-d6a6-4e79-9597-3b4c62515a1f","resolution":{"observed_at":"2026-08-06T17:24:23.541091Z","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":"2026-08-06T17:24:23.741715Z","title":"Acta Numer","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.741715Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:153e77ce7c01a28dd39fe10e0837a58c0f41e60114d80965f2fa104d01b0645f","observation_id":"243c2e2f-674b-40a7-8e0d-9cd70066e10e","resolution":{"observed_at":"2026-08-06T17:24:23.741715Z","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":"10.1515/jiip-2016-0014","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of Inverse and Ill-Posed Problems","work_id":"3b519e16-6a81-4f69-9765-43b44fbd1f13","year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.816827Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:b6dd71921125d07be94f4e6aa340bf656b8b223dcc802ec8b31590a973455fc0","observation_id":"6adb743f-4b6a-4ac2-9594-817cae73c7e2","resolution":{"observed_at":"2026-08-06T17:24:29.402427Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1361-6420/aac8f3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Inverse Problems 34(8), 085008–27 (2018) https://doi.org/10.1088/1361-6420/aac8f3","venue":"Inverse Problems","work_id":"d77212a4-175f-40bb-9aac-c48e81b2a222","year":2018},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.862709Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:ac5272469807a372f9cbd6959c853d9efad5b5372eeafb3261c4f489cf72f162","observation_id":"2082bd05-d27c-4e73-bd36-2f29f17884d8","resolution":{"observed_at":"2026-08-06T17:24:29.294916Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0266-5611/32/3/035001","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Inverse Problems 32(3), 035001 (2016) https:// doi.org/10.1088/0266-5611/32/3/035001","venue":"Inverse Problems","work_id":"cd899aa0-4388-40ae-82ce-c9c7e4a332a5","year":2016},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.948546Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:ebdaeefb07f1bb80c6251818d90499bce3610943b1d15b6f4aae861a422b858d","observation_id":"30d29f6c-1c1e-42b6-9f15-93d34a576fd7","resolution":{"observed_at":"2026-08-06T17:24:29.202666Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:24.049010Z","title":"Society for Industrial and Applied Mathematics, Philadelphia, PA (2017)","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.049010Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:4d68c246930f9e059ce38e61d1d6ab32d075a4ed9bf572bf334c12e1795506bd","observation_id":"890f478d-1440-464a-a6ad-573cf65495ff","resolution":{"observed_at":"2026-08-06T17:24:24.049010Z","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":"2026-08-06T17:24:24.150071Z","title":"(eds.): Model Reduction of Parametrized Systems","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.150071Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:8e844a19b5c57b052c2f538081bbfa31383d86e93d7fe4396aa0d03b631bb3ff","observation_id":"7a59be78-eff0-42ba-b777-5b3fbdad34f2","resolution":{"observed_at":"2026-08-06T17:24:24.150071Z","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":"2026-08-06T17:24:24.310086Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.310086Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:72a0739629698302152347200ef1c907d615ba097cb12c9ca3d28bf8dcf43b06","observation_id":"5ad5b718-8077-4a97-bad2-8b5540caeea1","resolution":{"observed_at":"2026-08-06T17:24:24.310086Z","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":"10.1137/120894737","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"SIAM Journal on Scientific Computing","work_id":"d4cc5535-58af-4316-917d-e410d7a20dc9","year":2013},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.427716Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:a8c0f843156aeb7e5cd2aad4f580cd9f015d41088233ada13d998eab3c630cd4","observation_id":"23590801-5422-4642-9f7e-ca5327496098","resolution":{"observed_at":"2026-08-06T17:24:29.017505Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:31.560710Z","title":"In: Model Order Reduction and Applications","venue":null,"work_id":"b4e1acdc-8680-4c45-9f95-2f2e95eb2ea5","year":2023},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.504402Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:26cf96e28b27b3945d80cc38ba0fd8c76bfed0508d0450dc5f82a0f7224b9eb9","observation_id":"a40cce13-0788-4707-8866-bd2725dd558e","resolution":{"observed_at":"2026-08-06T17:24:31.687460Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1361-6420/add17d","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Inverse Problems 41(5), 055015–24 (2025) https://doi.org/10.1088/1361-6420/add17d","venue":"Inverse Problems","work_id":"d71e6866-5643-46e6-9282-53b6995c7dea","year":2025},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.585178Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:1c6d0196068489f5f2c36427b4f64efbfa9b34db5b245c6410a43299e7da052b","observation_id":"ba05294a-d7ee-42ef-b8c9-53fb892475ac","resolution":{"observed_at":"2026-08-06T17:24:28.891016Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:24.690060Z","title":"Mathematical Modelling and Numerical Analysis 42(2), 277–302 (2008) https://doi.org/10.1051/m2an: 2008001","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.690060Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:78b3335873c9bda44fb8bc7af62a32c163ba82e9ac7c56d45df7fb257e679656","observation_id":"c4a936d4-5447-4248-9ef6-30323f19bfcb","resolution":{"observed_at":"2026-08-06T17:24:24.690060Z","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":"2026-08-06T17:24:24.805715Z","title":"ESAIM Math","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.805715Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:dcda2abc86790469699b88932f5821d6748d30878824eeeb7e5fd7fff14afc6d","observation_id":"f1d5c0b2-f956-4355-80ab-e5adba18e209","resolution":{"observed_at":"2026-08-06T17:24:24.805715Z","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":"2026-08-06T17:24:24.910656Z","title":"SIAM Journal on Scientific Computing 40(5), 3267–3292 (2018) https://doi.org/10.1137/16M1085413","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.910656Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:f36487b4ebc0b3a39a3c669a197fa6f6fad8327adb045c81a2193e1e83d48969","observation_id":"01bc5791-6201-4016-9839-323297311b80","resolution":{"observed_at":"2026-08-06T17:24:24.910656Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:31.349650Z","title":"Computational Science and Engineering 1(3) (2024) https://doi.org/10.1007/ s44207-024-00002-z","venue":null,"work_id":"ad3037b7-5e73-4818-a74c-bd5fd4ad573f","year":2024},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.029609Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:90c35e48b3146785681717fac87e7d0b6b2c4625204038fef54f5def1091a027","observation_id":"b222fcc3-82e7-4185-a80e-0e6f36c78a14","resolution":{"observed_at":"2026-08-06T17:24:31.437567Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:25.110965Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.110965Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:0e4ab35c52806a607f85f87349864e3d0b4b49b26201f67ea219243358214cec","observation_id":"ca0b6df6-ae9d-45f1-9426-df9b88b693e7","resolution":{"observed_at":"2026-08-06T17:24:25.110965Z","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":"10.1155/2014/843869","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Mathematical Problems in Engineering, 843869–13 (2014) https://doi.org/10.1155/2014/843869","venue":"Mathematical Problems in Engineering","work_id":"e4490534-de19-4a4b-be26-f13d2fb24b9f","year":2014},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.203666Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:b9b7a88dc0db8f088dd7a5cff4f5b54cc07cb69dd200aad38bc09cde3dc757c7","observation_id":"d1257182-e24c-4ed2-b074-5eb82d8e3391","resolution":{"observed_at":"2026-08-06T17:24:28.719788Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:25.285666Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.285666Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:18633f484b55a31efa67db087ae3323f11d003b125f6bd5f2f434fb5dd506ba4","observation_id":"1a0d6ff7-bb84-4e2d-b3e3-d6c1f21bb03a","resolution":{"observed_at":"2026-08-06T17:24:25.285666Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:31.131622Z","title":"Technical report, Technical Report 2000-25, ICASE (2000)","venue":null,"work_id":"e989ce08-e86c-45f6-af23-8946c669a674","year":2000},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.382797Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:27aaa74eea910c9ceb306a7f0911c7c5df0bb1cd4b8ba40ba89097e3c56fc4b2","observation_id":"4589b145-dd31-48bb-a927-4ab6e28e042d","resolution":{"observed_at":"2026-08-06T17:24:31.256500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2008.04","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.545212Z","title":"Journal of Com- putational Physics 227, 7813–7840 (2008) https://doi.org/10.1016/j.jcp.2008.04","venue":null,"work_id":"fcd1d556-89c1-4216-9714-ebe368f14b24","year":2008},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.459258Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:e670ea1cb1ada3faa31b7395fd83fe8e193ed975b98f53aaac132a644349ea19","observation_id":"29da175d-f262-4cff-8efb-520f2ad32b8f","resolution":{"observed_at":"2026-08-06T17:24:28.585310Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:25.534621Z","title":"Optimization and Engineering 14, 3–35 (2013) https://doi.org/10.1007/s11081-011-9164-0","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.534621Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:eb19217fda319d379dfa747f750df2dbc35374e67a0e677d57eadf5763a75f20","observation_id":"7562955d-3dfb-47c2-9b44-f840d6451edf","resolution":{"observed_at":"2026-08-06T17:24:25.534621Z","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/pamm.201800453","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"PAMM 18(1), 201800453 (2018) https://doi.org/ 10.1002/pamm.201800453","venue":"PAMM","work_id":"ca5ac923-fc4b-4e9c-9bb2-eac80046f7f4","year":2018},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.639051Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:cb4c354daadb1b96617e2791e3bd61ac7324226617edeb700e1b7f43ff25e82c","observation_id":"03aaf642-367d-4ff9-9e3d-d454fde0ead7","resolution":{"observed_at":"2026-08-06T17:24:28.473089Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:30.893975Z","title":"Konstanzer Schriften in Mathematik No","venue":null,"work_id":"2c024f74-1910-48ff-a9b9-107d75d1188e","year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.737954Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:700cbf5fa9c7ee7d3baf0fd9aa6a1721d671f54eaa923b8821d21534a1e48da3","observation_id":"08928d6a-4b6d-4fd9-b57a-0058f6dc4dc7","resolution":{"observed_at":"2026-08-06T17:24:31.023277Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/16m108198","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.320960Z","title":null,"venue":null,"work_id":"300321d4-c0b0-46ae-9dc9-6f3da50dcb32","year":2017},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.808476Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:0033d573d23028d02b521421865f38c327d8a1951f8cd32aab1bbef7540c036e","observation_id":"cc1ba2cc-9a9d-4ec5-8559-2ed3a7fc3dea","resolution":{"observed_at":"2026-08-06T17:24:28.366991Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.01729","last_updated":"2025-07-02T14:03:11Z","snapshot_observed_at":"2026-08-13T07:06:56.653792Z","submitted_at":"2025-07-02T14:03:11Z","title":"A trust-region framework for optimization using Hermite kernel surrogate models","version":1},"cited_work":{"arxiv_id":"2507.01729","doi":"10.48550/arxiv.2507.01729","metadata_source":"pith","pith_arxiv_id":"2507.01729","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A trust-region framework for optimization using Hermite kernel surrogate models","venue":"math.NA","work_id":"1f3f109f-85f6-4317-8ed7-fe89c26ee388","year":2025},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:25.917895Z"},"links":{"cited_paper":"/paper/2507.01729","citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:3b1feaf9dc2f780aa94ab041944aca16979c113efe7ae0acc2c6aa9d51e7cd92","observation_id":"5a260de1-0c1f-41e1-b1b4-2008195a6f53","resolution":{"observed_at":"2026-08-06T17:24:28.263756Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.15834305","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"https://doi.org/10.5281/zenodo.15834305","venue":"Zenodo (CERN European Organization for Nuclear Research)","work_id":"8589181b-2259-4dea-be2e-ea5bc3afe846","year":2025},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.004530Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:361b1dd9e7a60d8e0d1863138e5a0a684f6903dd4229e4602e4855738ba1a80e","observation_id":"9b95a78b-a931-4f59-9b5b-e9e9a5931ddc","resolution":{"observed_at":"2026-08-06T17:24:28.064788Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:26.068660Z","title":"SIAM Journal on Scientific Computing 38, 194–216 (2016) https://doi.org/10.1137/15M1026614","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.068660Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:f4c82c8f2754845346160499894521d4064e2ff29d8c5403ba02cb3223f7e50a","observation_id":"497a70f0-b27f-40a7-9f5a-5facbfbd6069","resolution":{"observed_at":"2026-08-06T17:24:26.068660Z","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":"2026-08-06T17:24:26.136113Z","title":"Springer Series in Operations Research and Financial Engineering","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.136113Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:bdcce2caf7ec899a4627f9aa6619ce87b15ba10e780a1dfd85359c7156deb38f","observation_id":"d8bea8ba-3e41-4998-9993-43f0a5f15ce1","resolution":{"observed_at":"2026-08-06T17:24:26.136113Z","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":"2026-08-06T17:24:26.197323Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.197323Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:6b6a80dd5eb8cf8310a92fd02a7e78184cf63e2eac3c44c43b7c911292306228","observation_id":"890325ca-9f95-4413-9137-f8a3ace4bf84","resolution":{"observed_at":"2026-08-06T17:24:26.197323Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.01878","last_updated":"2023-03-03T12:14:44Z","snapshot_observed_at":"2026-08-13T12:32:46.850548Z","submitted_at":"2023-03-03T12:14:44Z","title":"On the nonmonotone linesearch for a class of infinite-dimensional nonsmooth problems","version":1},"cited_work":{"arxiv_id":"2303.01878","doi":"10.48550/arxiv.2303.01878","metadata_source":"pith","pith_arxiv_id":"2303.01878","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"On the nonmonotone linesearch for a class of infinite-dimensional nonsmooth problems","venue":"math.OC","work_id":"9228a2d2-400f-43e2-ac07-a34764a4493f","year":2023},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.270682Z"},"links":{"cited_paper":"/paper/2303.01878","citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:ec706b64463e5b532f2fb59423c33c1dbd00212666647e616d671645308fca3a","observation_id":"b0936d60-a3f5-4cab-8881-879b17cc8869","resolution":{"observed_at":"2026-08-06T17:24:27.825913Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3390/mca27030039","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Mathematical and Computational Applications 27(3), 39 (2022) https://doi.org/ 38 10.3390/mca27030039","venue":"Mathematical and Computational Applications","work_id":"b22d82a2-aeab-425c-b785-270e4e497786","year":2022},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.355777Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:9816d61bdd61885bfb4e1388d01ac5b88b4065d773f521db3e6b83a64364715f","observation_id":"0a3acacc-8057-4438-b84b-0043cf9b5c2e","resolution":{"observed_at":"2026-08-06T17:24:27.564333Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.21252","last_updated":"2025-03-27T08:18:00Z","snapshot_observed_at":"2026-08-09T11:05:05.442460Z","submitted_at":"2025-03-27T08:18:00Z","title":"Multi-fidelity Learning of Reduced Order Models for Parabolic PDE Constrained Optimization","version":1},"cited_work":{"arxiv_id":"2503.21252","doi":"10.48550/arxiv.2503.21252","metadata_source":"pith","pith_arxiv_id":"2503.21252","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Multi-fidelity Learning of Reduced Order Models for Parabolic PDE Constrained Optimization","venue":"math.OC","work_id":"545ff217-0ca8-4a6c-93fa-f67df9179117","year":2025},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.452114Z"},"links":{"cited_paper":"/paper/2503.21252","citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:4aea799994f8856eda5c2053c425aa925bd252e471bdb4fa97c0f11a23e66a01","observation_id":"7fe88b07-afb2-49a0-847f-770ec753b8e2","resolution":{"observed_at":"2026-08-06T17:24:27.328451Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.09607","last_updated":"2022-11-17T15:57:18Z","snapshot_observed_at":"2026-08-13T13:40:19.175033Z","submitted_at":"2022-11-17T15:57:18Z","title":"Adaptive Reduced Basis Methods for Multiscale Problems and Large-scale PDE-constrained Optimization","version":1},"cited_work":{"arxiv_id":"2211.09607","doi":"10.48550/arxiv.2211.09607","metadata_source":"pith","pith_arxiv_id":"2211.09607","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Adaptive Reduced Basis Methods for Multiscale Problems and Large-scale PDE-constrained Optimization","venue":"math.NA","work_id":"8ff070e8-f314-4241-9696-16a65d17c81e","year":2022},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.583359Z"},"links":{"cited_paper":"/paper/2211.09607","citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:f77f452684ba0f0e2d0fe2108edbdb909e8b53b86a463163313b0a3a9c335f5f","observation_id":"8cf7b16b-5bae-4807-84d0-90b626fd670f","resolution":{"observed_at":"2026-08-06T17:24:27.139828Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:30.602572Z","title":"Pure and Applied Functional Analysis 7, 1561–1596 (2022)","venue":null,"work_id":"5b0241ad-4501-4530-a795-15c8d4268d26","year":2022},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.658946Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:18b278f8bb4324c753ec24a291d38cbfaa53b10fef8d436dce0c541c7b1fc6f0","observation_id":"0a811a30-ec22-4d11-9bb8-78265c5e4f50","resolution":{"observed_at":"2026-08-06T17:24:30.739004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T17:24:26.716305Z","title":"(eds.) Model Reduction via Proper Orthogonal Decomposition, pp","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.716305Z"},"links":{"citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:b806fb668c280d9f261c55dc431468663a1d6a7e96733c67d3d7ce583c772d77","observation_id":"e7193de8-94e7-4f7f-85f9-6436b02e336e","resolution":{"observed_at":"2026-08-06T17:24:26.716305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1407.8005","last_updated":"2014-07-30T11:46:21Z","snapshot_observed_at":"2026-07-06T03:50:25.777996Z","submitted_at":"2014-07-30T11:46:21Z","title":"A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations","version":1},"cited_work":{"arxiv_id":"1407.8005","doi":"10.48550/arxiv.1407.8005","metadata_source":"pith","pith_arxiv_id":"1407.8005","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations","venue":"math.NA","work_id":"dca59276-381f-4e0c-b9a1-0f14da736242","year":2014},"citing_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:26.795187Z"},"links":{"cited_paper":"/paper/1407.8005","citing_paper":"/paper/2507.11130"},"observation_digest":"sha256:923640d433b13acc0f571979a88e8c828cd455370e1e12921ed1ec56f5edd78c","observation_id":"a9ae490a-f81d-45d7-8fd7-89e35ec5fd71","resolution":{"observed_at":"2026-08-06T17:24:26.986909Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-13T13:08:19.453824Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems"},"reference_resolution":{"displayed":61,"state_counts":{"malformed_identifier":7,"metadata_mismatch":5,"parse_uncertain":0,"unresolved":24,"verified_exact":17,"verified_fuzzy":8},"total_outbound_references":61},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 1 inbound Pith citation observation for arXiv:2507.11130."}