{"as_of":"2026-08-23T00:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ae8990e38d1cb3cd916bf629b939bfecc84654c07f4620a595fbed61d812395f","coverage":[{"denominator":259,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T14:38:03.599783Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.18734/citation-record","integrity":"/paper/2607.18734/integrity","json":"/paper/2607.18734/citation-record.json","paper":"/paper/2607.18734"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/cnm.2755","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"InternationalJournalforNumericalMethodsin Biomedical Engineering32(8), 02755 (2016) https://doi.org/10.1002/cnm.2755","venue":"International Journal for Numerical Methods in Biomedical Engineering","work_id":"50b1044c-8a59-411d-b796-3ca5fa046567","year":2016},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:52.782123Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:bc19307420b3842d6345a26713e5add2379e014a29566d499a4cc6df87ac575e","observation_id":"bd2a01a9-b1e6-4ed4-bd6e-e97c43ce8b68","resolution":{"observed_at":"2026-08-01T14:38:42.862057Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:52.920183Z","title":"American Journal of Physics 14(1), 1–13 (1946) https://doi.org/10.1119/1","venue":null,"work_id":null,"year":1946},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:52.920183Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:6bf36ed68004b2cc9a985499793a60de8ff176fc333241e35bce9ce76d9e9b67","observation_id":"b58cc870-b87b-4f1a-9c3b-61c9408c3f4c","resolution":{"observed_at":"2026-08-01T14:37:52.920183Z","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":"2026-08-01T14:37:53.053954Z","title":"Oxford University Press","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.053954Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:daad5ccd54b8d58df5841594832be9e865bed1d7315551297dc0d503a1d61c3a","observation_id":"4d6655cf-687d-4133-93b5-fd8eb6566599","resolution":{"observed_at":"2026-08-01T14:37:53.053954Z","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":"2026-08-01T14:37:53.165129Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.165129Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:abb2d3ab4d193175ad4dd0e210e947d63aac7d1040c87dfc1f955e67b308dec7","observation_id":"7fcfa643-fac7-494c-8800-9f60ce6d90e8","resolution":{"observed_at":"2026-08-01T14:37:53.165129Z","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":"10.1007/978-94-011-5028-6_6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"(eds.) Maximum En- tropy and Bayesian Methods","venue":null,"work_id":"83b0ac77-43de-4afd-868b-777f4eafbde5","year":1998},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.241998Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:3cfbf0eea6fc348c7c87eabf330ba6edde0290fbcdc22331c84561d9099a75c1","observation_id":"7b969db1-4890-4393-b1a7-14c9b47b3091","resolution":{"observed_at":"2026-08-01T14:38:42.690642Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:53.386986Z","title":"https: //doi.org/10.1017/CBO9780511790423","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.386986Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:d1649ced4d535d9c87a3ad9198e8dae42bf9b9738891256ce6720bd6fdd19d4a","observation_id":"db0c3d25-794d-4e23-b68f-49240b016c59","resolution":{"observed_at":"2026-08-01T14:37:53.386986Z","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":"2026-08-01T14:37:53.511616Z","title":"Reviews of Modern Physics83(3), 943–999 (2011) https://doi.org/10.1103/ RevModPhys.83.943","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.511616Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:c989413c2622ebed903edc5d8b4d5b0c283b8bc4431fe720abc695ef1ea9dc03","observation_id":"229b4d1a-c31e-4817-bad5-93e94de0b4e4","resolution":{"observed_at":"2026-08-01T14:37:53.511616Z","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":"2026-08-01T14:37:53.640817Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.640817Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:6539cca7b6a4115f4a7bb0485079d6039396cbe58c3154d4963bbf832222a1d7","observation_id":"7909811c-f5e9-42c5-9f32-00baf6551eb1","resolution":{"observed_at":"2026-08-01T14:37:53.640817Z","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":"2026-08-01T14:37:53.761519Z","title":"Axioms1(1), 38–73 (2012) https://doi","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.761519Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:8d7c29aecd573e8e8860d27d270dcd2ec8c07dac29f43bc1cbc8ca189afe8ea1","observation_id":"910154ac-25b8-4a9b-a1b6-d3bd803b614c","resolution":{"observed_at":"2026-08-01T14:37:53.761519Z","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":"2026-08-01T14:37:53.837649Z","title":"In: Holzapfel, G.A., Rolf, M., Xu, X.Y","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.837649Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:4f90c2b0df059cc2de4931b0554b2437b90ccbd93d399ef03b1942a27429d1a1","observation_id":"251ee80e-045d-4245-baa7-2dc505a24e0a","resolution":{"observed_at":"2026-08-01T14:37:53.837649Z","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":"2026-08-01T14:37:53.889409Z","title":"Exper- imental Mechanics48, 381–402 (2008) https: //doi.org/10.1007/s11340-008-9148-y","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.889409Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:b51d07d69d1b24969fb08382fac47ed8bef91cb48c727c26b08c374c146e26bd","observation_id":"a249bd97-9f05-4c45-aecc-091161c0ab42","resolution":{"observed_at":"2026-08-01T14:37:53.889409Z","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":"2026-08-01T14:37:53.926752Z","title":"PhD thesis, Universtity of Nottingham, UK (1997)","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:53.926752Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:e2d07d2536de39cc97291d2887c6c033244609223e0362460076920a0f832712","observation_id":"64694178-9a19-494e-a3d1-59e3dc5c6afc","resolution":{"observed_at":"2026-08-01T14:37:53.926752Z","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":"2026-08-01T14:37:54.005139Z","title":"In: Bernardo, J.M., 60 et al.(eds.) Bayesian Staistics 6: Proceedings of the Sixth Valencia International Meeting June 6-10, pp","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.005139Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:b804e007445fab000d4cab86f89171bf33381b0983470fd844620a548cc9a369","observation_id":"b0c54289-140c-4c27-b671-35da9b43415c","resolution":{"observed_at":"2026-08-01T14:37:54.005139Z","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":"2026-08-01T14:37:54.079687Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.079687Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:dbe020ea0cd339d39625d9e1bb660af5c35a85763e5d46cc83d9fad6822a5f85","observation_id":"a3aa00b2-ce56-4d51-a9f2-db0add857a03","resolution":{"observed_at":"2026-08-01T14:37:54.079687Z","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":"10.1093/biomet/89.4.769","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Biometrika89(4), 769–784 (2002) https://doi.org/10.1093/biomet/89.4.769","venue":"Biometrika","work_id":"d17d2b8a-2f45-46b6-8206-a55f019c2067","year":2002},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.147701Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:def486c76538f20b3d0924cf44b310d75a698092c4765c23f811b52fc2055d09","observation_id":"38adc6f5-ded2-4f9c-99e8-c5bba2741f98","resolution":{"observed_at":"2026-08-01T14:38:42.382139Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ress.2005.11.025","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Reliability Engineering & System Safety","work_id":"c606e029-5fc6-4daf-9057-9388077e57f0","year":2006},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.239517Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:46db17505d930aee9eecd4093253f9848b0f77ac800245ee49d4b8815fb8ba97","observation_id":"7e640ffe-887d-47f3-a88e-c45da7e11584","resolution":{"observed_at":"2026-08-01T14:38:42.066728Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:54.367363Z","title":"In: Physical Sciences Forum, vol","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.367363Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:b6635019289b1e4a69be38eb2641ec900d8591a0eb767728dc20be5c752627d7","observation_id":"8f106d59-406e-4365-8f3b-eb4070b3eedc","resolution":{"observed_at":"2026-08-01T14:37:54.367363Z","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":"10.1103/physreve.101.043308","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"org/10.1103/PhysRevE.101.043308","venue":"Physical review. E","work_id":"a9407996-89f9-430f-8cfb-d6ea92c3b28d","year":2020},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.548076Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:08d4102a08db4e815a8fee5e6f21d4da20be9b1aa18529c23d92d7cbec43d9f6","observation_id":"9aa3d332-6105-4ea6-b7e3-efa2d5a1d81a","resolution":{"observed_at":"2026-08-01T14:38:41.808076Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:54.687109Z","title":"JOM73(1), 90–102 (2021) https://doi.org/10","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.687109Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:6c655c9883cd4504e733fc8af21a064d252297f280458abbc854deb5e64da5f5","observation_id":"cad81a1a-9637-420a-9d71-5b9d7bbcafdc","resolution":{"observed_at":"2026-08-01T14:37:54.687109Z","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":"2026-08-01T14:37:54.765935Z","title":"1038/s41598-023-27574-8","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.765935Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:2a413fc695552e87c3064cd59a769738879f790875e9270bf4762a96c374919d","observation_id":"76198705-2f9d-4567-8f79-e419bc093ef5","resolution":{"observed_at":"2026-08-01T14:37:54.765935Z","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":"2026-08-01T14:37:54.900544Z","title":"Medical Image Analysis, 103703 (2025) https: //doi.org/10.1016/j.media.2025.103703","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:54.900544Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:76f08fbdbd3108346544dc6302c221f10a60ea02843409b6bc64b6851ec7ad5a","observation_id":"3eeca677-566d-4d98-9734-7e08d64ce1af","resolution":{"observed_at":"2026-08-01T14:37:54.900544Z","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/s10237-017-0903-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Biomechanics and Modeling in Mechanobiol- ogy16(5), 1519–1533 (2017) https://doi.org/ 10.1007/s10237-017-0903-9","venue":"Biomechanics and Modeling in Mechanobiology","work_id":"dc0d28c8-ada6-4136-874c-d155211a2208","year":2017},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.040704Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:2f15c74bc9509a63caf17782f70ffd6803bd3227093c03df4573e572c32d2570","observation_id":"f091d497-34a3-4004-b260-142b2f989c5d","resolution":{"observed_at":"2026-08-01T14:38:41.490819Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:55.160674Z","title":"In: Holzapfel, G.A., Rolf, M., Xu, X.Y","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.160674Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:196a2466013ad5b5a1c7e25aa9b20d1114951569c884157434b407bd507e274b","observation_id":"58373553-6984-494a-901e-50e95534d4ef","resolution":{"observed_at":"2026-08-01T14:37:55.160674Z","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":"2026-08-01T14:37:55.312597Z","title":"Scientific Re- ports14(1), 5041 (2024) https://doi.org/10","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.312597Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:94c5bbc6ae16da3be1c20654b0e7f0fb8f72dca47713d8020c5d02381a2faca2","observation_id":"97b3f3ac-cfba-44b7-a347-6831b28ff3d2","resolution":{"observed_at":"2026-08-01T14:37:55.312597Z","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":"2026-08-01T14:37:55.411275Z","title":"Computers in Biology and Medicine 198 Part B, 111216 (2025) https://doi.org/10","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.411275Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:2f0efdc6205778ee1133707b19fdd2a04a86d22eef652e3539bbeb7a80af600a","observation_id":"d0d9f0b5-44d4-40db-93db-d893cf34ceb1","resolution":{"observed_at":"2026-08-01T14:37:55.411275Z","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":"2026-08-01T14:37:55.492584Z","title":"Computer Methods in Ap- plied Mechanics and Engineering461 Part A, 119171 (2026) https://doi.org/10.1016/j.cma","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.492584Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:ba11df93bed7da16810d222d225a53ed914518570d23ff7f946aca54320c4c0b","observation_id":"5504863e-6e53-49dc-bad3-4e69cac5b6f9","resolution":{"observed_at":"2026-08-01T14:37:55.492584Z","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":"2026-08-01T14:37:55.629928Z","title":"In: Proceedings of the IEEE/CVF In- ternational Conference on Computer Vision, pp","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.629928Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:4fdc1ff7ebcdb17f473e2fb4dcada54311f3e5a6c6daa8a63668519712c9c3e5","observation_id":"222ce96b-407f-451c-9959-a093bf0057cb","resolution":{"observed_at":"2026-08-01T14:37:55.629928Z","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":"2026-08-01T14:37:55.767236Z","title":"Computer Meth- ods in Applied Mechanics and Engineering 401, 115594 (2022) https://doi.org/10.1016/j","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.767236Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:6dec8c552477c39035a0d849ddb2acb053e7ad84a0623c185152424eacd7aceb","observation_id":"59f2e5fb-94a8-45b7-a9f7-068060359a25","resolution":{"observed_at":"2026-08-01T14:37:55.767236Z","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":"2026-08-01T14:37:55.851179Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.851179Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:572921ab91e2613bc637df8579e627a3627af42fb06c1e8863c3af2a9d333a9e","observation_id":"a279470f-b391-4116-95d9-834dc706665b","resolution":{"observed_at":"2026-08-01T14:37:55.851179Z","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":"10.1142/4031","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"World Scientific","venue":"Series on multivariate analysis","work_id":"5327533a-4fe1-4750-a6b0-3abc1345240d","year":2001},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:55.943740Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:7df7c7e5279aa59aa12c8c5e66e70442170a95578f3b56b215f5fcbd1f8ba1a8","observation_id":"4754bdd3-a1b7-49fb-8098-b89cab72b59b","resolution":{"observed_at":"2026-08-01T14:38:41.281172Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:56.060701Z","title":"The Physical Re- view106(4), 620–630 (1957) https: //doi.org/10.1103/PhysRev.106.620","venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.060701Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:1bad701d4592ba5c426208cc7e0058cd141fafb72ccf49ffbd74bfe08763087c","observation_id":"d2018563-7db1-4ce3-a7a3-70e33e9c3765","resolution":{"observed_at":"2026-08-01T14:37:56.060701Z","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":"2026-08-01T14:37:56.173030Z","title":"Clarendon Press","venue":null,"work_id":null,"year":1939},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.173030Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:9f22fc7da83f2c099fff81c0dbd61909921c35254e9f623c4cf531c78fa2ff8a","observation_id":"78acc34a-a2a8-4c74-92e6-cce346efa934","resolution":{"observed_at":"2026-08-01T14:37:56.173030Z","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":"10.1002/9781118014967.johnwiley","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:38:40.795932Z","title":"https: //doi.org/10.1002/9781118014967.JohnWiley & Sons, Inc","venue":null,"work_id":"758965a8-b51c-4a98-86a0-e239c9a2b5f8","year":2011},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.350393Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:6eb128d112938bbdacbecde385f1f135eccd93e4550ab159f3d8de2e9c53bce6","observation_id":"ea035a9d-7127-484f-b23c-275d93f40bf0","resolution":{"observed_at":"2026-08-01T14:38:40.992625Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:56.428187Z","title":"In: Holzapfel, G.A., Rolf, M., Xu, X.Y","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.428187Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:72279e360b5251a09410ae9fdf12ede9c6e11325c71cf0aa35371583f0c55497","observation_id":"baa163f9-3fe8-47c2-ad46-1afe2a8477d4","resolution":{"observed_at":"2026-08-01T14:37:56.428187Z","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/cnm.3576","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"International Journal for Numeri- cal Methods in Biomedical Engineering, 3576 (2022) https://doi.org/10.1002/cnm.3576","venue":"International Journal for Numerical Methods in Biomedical Engineering","work_id":"400e8d45-07c3-4571-89ea-5784e7b19a75","year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.513786Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:a95f4fec83d81e6966e53cb736d0c3d02504852431926139b0c16f73ce62af72","observation_id":"3c763799-e560-409a-befb-537b0e3f6f96","resolution":{"observed_at":"2026-08-01T14:38:40.644361Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jmbbm.2015.10.025","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of the Mechanical Behavior of Biomedical Materials59, 108–127 (2016) https://doi.org/10.1016/j.jmbbm.2015.10.025","venue":"Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials","work_id":"9ab6e1fb-637c-4f86-8130-81d7eafb514b","year":2016},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.570078Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:dac484f75c94828056bf99ea18014e41ae4384cd8c7f1c037a1af9c0aa9bd8d6","observation_id":"326a7b5f-9e41-4470-ace5-ef538794cd2a","resolution":{"observed_at":"2026-08-01T14:38:40.395795Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:56.648321Z","title":"Computer Meth- ods in Applied Mechanics and Engineering 357, 112604 (2019) https://doi.org/10.1016/j","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.648321Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:b92a66a05eb0753396ff8054c3ce149c3a04dbc206c0986b2e4144e6d78504a2","observation_id":"1a10c19b-b86a-40e3-9f4c-ce909d15db3d","resolution":{"observed_at":"2026-08-01T14:37:56.648321Z","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":"10.1007/978-3-030-92339-6_","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:38:39.903726Z","title":"In: Sommer, G., Li, K., Haspinger, D.C., Ogden, R.W","venue":null,"work_id":"4b32c851-f3c0-4266-bc3a-34eb4f55baf1","year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.712405Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:6d4b48189b7e5fcd23b5e83751f00dee9fdb0f794ed4e6acc1333c2c1cd09ccc","observation_id":"4dadfaa1-0cd0-44a9-ad84-109dd47fcf61","resolution":{"observed_at":"2026-08-01T14:38:40.034324Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:56.794095Z","title":"Computer Methods in Applied Mechanics and Engineer- ing398,115225(2022)https://doi.org/10.1016/ j.cma.2022.115225","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.794095Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:3801fc52f2d9a893078a0fa6dc652f7069ee6bf6a4a7940c1f06272f2a63f326","observation_id":"1f1bfb03-db73-4dcd-b09b-6e9c066cf815","resolution":{"observed_at":"2026-08-01T14:37:56.794095Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2510.09498","last_updated":"2026-05-04T11:55:36Z","snapshot_observed_at":"2026-08-13T11:49:51.830338Z","submitted_at":"2025-10-10T15:59:49Z","title":"Unsupervised full-field Bayesian inference of orthotropic hyperelasticity from a single biaxial test: a myocardial case study","version":3},"cited_work":{"arxiv_id":"2510.09498","doi":"10.48550/arxiv.2510.09498","metadata_source":"pith","pith_arxiv_id":"2510.09498","snapshot_observed_at":"2026-08-01T18:16:15.623592Z","title":"Unsupervised full-field Bayesian inference of orthotropic hyperelasticity from a single biaxial test: a myocardial case study","venue":"q-bio.TO","work_id":"b8ba4287-61af-4afc-a33b-4039cbc4ef75","year":2025},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.873233Z"},"links":{"cited_paper":"/paper/2510.09498","citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:fb9b7d3c860e02ac7f7672c28a0bb44081a7682ed602049a58dab0f4ddefb668","observation_id":"03dc5476-b891-4a42-8980-0008b08f75e2","resolution":{"observed_at":"2026-08-01T14:38:39.714879Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:56.954894Z","title":"Philosophical Transactions of the Royal Society A: Mathematical, Physi- calandEngineeringSciences383(2292)(2025) https://doi.org/10.1098/rsta.2024.0223","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:56.954894Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:95787bcf0146cf526481dd05e64edb37acc4b9debcc9a9cec3b478798b2d501f","observation_id":"4f9d3a29-a9b8-4a8a-bdbe-ee5c4c07b203","resolution":{"observed_at":"2026-08-01T14:37:56.954894Z","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":"2603.19331","doi":"10.48550/arxiv.2603.19331","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"arXiv (2026) https://doi","venue":"arXiv (Cornell University)","work_id":"ef5cc5b1-6af4-449f-bc7b-b11ccc962349","year":2026},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:57.044331Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:43b8a4bdf5eb9e861201966e33f8ed82e3b8611540007dca15dfc85982de9bcb","observation_id":"ee6b0268-13a0-4815-a4f1-4c2ea36f132d","resolution":{"observed_at":"2026-08-01T14:38:39.456464Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:57.164043Z","title":"Journal of Computational Physics 511, 113117 (2024) https://doi.org/10.1016/j","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:57.164043Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:b48abeb318d939e5e10839fcf7b9927a8c3ce5b73d4400916d52b4e14b13ac27","observation_id":"3b64c637-8eb4-427b-a709-6b197f67734d","resolution":{"observed_at":"2026-08-01T14:37:57.164043Z","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":"2026-08-01T14:37:57.318066Z","title":"Composites Science and Technology228,109630(2022)https://doi.org/ 10.1016/j.compscitech.2022.109630","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:57.318066Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:0849c59e4955c0aeb5bb0457021ac4068aba621e26ebc0373861019828d57bf0","observation_id":"1dddbebb-655d-4397-a52e-2631e0bdb8a9","resolution":{"observed_at":"2026-08-01T14:37:57.318066Z","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":"2026-08-01T14:37:57.440751Z","title":"Probabilistic Engineering Mechanics 66, 103153 (2021) https://doi.org/10.1016/j","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:57.440751Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:b6c1e7269d7c0becfff1953786cd80287c36efe1d20f4e643d090d893ccfd78a","observation_id":"276c42c5-732a-4895-87c7-d71336662fe7","resolution":{"observed_at":"2026-08-01T14:37:57.440751Z","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":"10.1007/s00466-020-01876-4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Computational Mechanics66, 827–849 (2020) https://doi.org/ 10.1007/s00466-020-01876-4","venue":"Computational Mechanics","work_id":"bb7047ac-8f3c-4a07-8b5f-7c043ca2fc0b","year":2020},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:57.575850Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:89104e65acd640593fbb258e76aa38d543fdd63076d179cf28c32b0239db25b3","observation_id":"5c0443ec-660c-47d9-832f-30bb2d9df99f","resolution":{"observed_at":"2026-08-01T14:38:39.142111Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:57.664188Z","title":"Ad- vanced Modeling and Simulation in Engineer- ing Sciences9, 24 (2022) https://doi.org/10","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:57.664188Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:739ddc0ef683849ccc9c03ce05e886b826f5e047d15051171be2e4e86e60b410","observation_id":"3b69b84a-d63a-46ff-810f-da7705c57a46","resolution":{"observed_at":"2026-08-01T14:37:57.664188Z","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":"2026-08-01T14:37:57.802464Z","title":"1016/j.jcp.2020.109913","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:57.802464Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:4e7c6186c8829101908206de2445e3043c383758c2653180ee68c217e652bd40","observation_id":"8f947a06-98ce-46f4-8fd1-f59cfa940f93","resolution":{"observed_at":"2026-08-01T14:37:57.802464Z","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":"2026-08-01T14:37:57.956817Z","title":"Computer Methods in Applied Mechanics and Engineering402, 115346 (2022) https://doi.org/10.1016/j.cma","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:57.956817Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:a030adf27f6f411c6eeec990425b67e5ee77863070856ae4813a965f3a53142d","observation_id":"ef8b9691-78c6-4f1f-9b85-b24921a46f40","resolution":{"observed_at":"2026-08-01T14:37:57.956817Z","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":"2026-08-01T14:37:58.048823Z","title":"Computer Methods in Applied Mechanics and Engineering433, 117517 (2025) https://doi.org/10.1016/j.cma","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:58.048823Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:082ae6bf29ce6d19970e086a1116d3f29a7ae88da2c454d970db4da2fda2d9e2","observation_id":"e561d31a-6a07-4c7c-9c94-722bc03c1167","resolution":{"observed_at":"2026-08-01T14:37:58.048823Z","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":"2026-08-01T14:37:58.215933Z","title":"Computer Methods and Programs in Biomedicine200, 105828 (2021) https://doi","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:58.215933Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:3ce18652979241ffb4faa2ef621c06a68f2dd1e08a89a42a02c1239b28790c9a","observation_id":"c0405a9d-92de-4e6f-a73c-ecd4a7b2fb5f","resolution":{"observed_at":"2026-08-01T14:37:58.215933Z","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":"2026-08-01T14:37:58.391924Z","title":"Journal of the Mechanical Behavior of Biomedical Materials 137, 105553 (2023) https://doi.org/10.1016/j","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:58.391924Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:fc7f6795da3745407017720c44618b9925aa8d4c20f49f8740628bdfd5a4f8de","observation_id":"cd71b436-52ec-4d5f-a2b5-37fdbccd6592","resolution":{"observed_at":"2026-08-01T14:37:58.391924Z","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":"2026-08-01T14:37:58.519251Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:58.519251Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:2f73cad082947a530280e0fd85fafed835afbc97d244634eb4014c8749e00034","observation_id":"6682eb02-713b-4e0e-86bf-43850498e48b","resolution":{"observed_at":"2026-08-01T14:37:58.519251Z","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":"2026-08-01T14:37:58.625063Z","title":"Journal of the Royal StatisticalSociety:SeriesB(StatisticalMethod- ology)63(3), 425–464 (2001) https://doi.org/ 10.1111/1467-9868.00294","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:58.625063Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:3c2e66fff2d75f5dedbee88e5085ad9b1b331a935752160fe9d10bd8237a84c0","observation_id":"ae0efbb6-fa0a-4ea2-a8b7-d18360582561","resolution":{"observed_at":"2026-08-01T14:37:58.625063Z","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":"10.1137/16m1106419","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"SIAM/ASA Journal on Un- certainty Quantification6(2), 457–496 (2018) https://doi.org/10.1137/16M1106419","venue":"SIAM/ASA Journal on Uncertainty Quantification","work_id":"ff756048-66ab-4419-b1e4-a75ca67906ef","year":2018},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:58.762026Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:28247e0c1b807ca58605b89d629754dd3b078203658083bcc534a6a90f12ba6b","observation_id":"ca7f8d6f-6946-4393-bb0e-6f8d747a8fa4","resolution":{"observed_at":"2026-08-01T14:38:38.894639Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:58.902815Z","title":"Journal of the Royal Society Interface 17(173), 20200886 (2020) https://doi.org/10","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:58.902815Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:9c61e37f774ec5c4fa64b0bc1832ff68ff3bb4c10867015870302c864a693c3a","observation_id":"800c986c-2056-4c26-ac9c-8e9f91746be9","resolution":{"observed_at":"2026-08-01T14:37:58.902815Z","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":"2026-08-01T14:37:59.000148Z","title":"International 63 Journal for Numerical Methods in Biomedical Engineering38,3575(2022)https://doi.org/10","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.000148Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:003157b9a0bd3c594431174acaea3e2c381e63e33eb9a7f51b2d8fbf442f5440","observation_id":"1c6b4bd8-9b55-4810-9602-4fba32169c9f","resolution":{"observed_at":"2026-08-01T14:37:59.000148Z","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":"2026-08-01T14:37:59.102849Z","title":"In- verse Problems34, 025008 (2018) https://doi.org/10.1088/1361-6420/aaa34d","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.102849Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:4e2082cb64af74a8fcc1bbe842576abfa7ca7c7247cb1dfb56465ca2802e1936","observation_id":"efa3c6c5-2994-4c2a-8f5a-a383871d4e56","resolution":{"observed_at":"2026-08-01T14:37:59.102849Z","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":"10.1371/journal.pcbi.1010902","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"PLoS Computational Biology19(3), 1010902 (2023) https://doi.org/ 10.1371/journal.pcbi.1010902","venue":"PLoS Computational Biology","work_id":"cea111ec-4979-4143-95c6-acd22c205806","year":2023},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.186696Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:015b1e283c02c69f856f2a471c5bca02f56a4b90026f520aa7b14283a957f16c","observation_id":"32b9e128-2a59-4cbf-a209-de98d701d07a","resolution":{"observed_at":"2026-08-01T14:38:38.609856Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:59.223918Z","title":"SIAM Journal on Scientific Comput- ing31(5),3274–3300(2009)https://doi.org/10","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.223918Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:4cd1fb67618c0d5631c4ee272fb5a24d6f9b64b9a7684cb973ae8c6dd4ef288c","observation_id":"a98d71b1-53f7-4cd7-a7ff-a596fe948f0c","resolution":{"observed_at":"2026-08-01T14:37:59.223918Z","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":"2026-08-01T14:37:59.273557Z","title":null,"venue":null,"work_id":null,"year":1938},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.273557Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:d40ce43acbf744750126f766b66c50c55c381ad0be9f3d998bb12ace3a5dd300","observation_id":"37bab42c-9ec9-4dce-bd09-3f2385f4b173","resolution":{"observed_at":"2026-08-01T14:37:59.273557Z","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":"2026-08-01T14:37:59.336567Z","title":"1137/S1064827501387826","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.336567Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:0f4c5bae3a35f33ecf5d101076d89d7bda2f229c01242dca9080e99cc8b9d716","observation_id":"072ca2a3-5a45-4c9c-b694-0a0822ed11b9","resolution":{"observed_at":"2026-08-01T14:37:59.336567Z","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":"2026-08-01T14:37:59.406989Z","title":"Springer New York, NY","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.406989Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:2dc54f45ea1137e6ef8c416ea9d10727aa635c85ce831505a47cd202e6359932","observation_id":"760c94ef-ae2f-4afe-bc60-5ba4f0b0842e","resolution":{"observed_at":"2026-08-01T14:37:59.406989Z","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":"2026-08-01T14:37:59.474275Z","title":"(eds.): Handbook of Uncertainty Quantification vol","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.474275Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:331e65241f6330fc9377ba503b38347211d4bb463dc067e4be9853f68fe2edeb","observation_id":"204c0d78-a05e-4c6e-a21d-6cae8079f464","resolution":{"observed_at":"2026-08-01T14:37:59.474275Z","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":"2026-08-01T14:37:59.512660Z","title":"http://tonyohagan.co.uk/academic/pdf/ Polynomial-chaos.pdf,accessed25.06.2019","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.512660Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:5dfb04ab04adca14c34e41b812b4307f2af9c159d63465e804da7bf05e349cfb","observation_id":"e15ee40d-3408-48a9-a0e6-192f1cdaa57d","resolution":{"observed_at":"2026-08-01T14:37:59.512660Z","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":"2026-08-01T14:37:59.659000Z","title":"Reliability Engineering & System Safety106, 179–190 (2012) https: //doi.org/10.1016/j.ress.2012.05.002","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.659000Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:188a18afd68f2165ba401f7aa7d36e874592acff6a88f8c8593f639c6c3efd1b","observation_id":"147308a0-626e-4c38-97fc-e5aa0e30d479","resolution":{"observed_at":"2026-08-01T14:37:59.659000Z","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":"2026-08-01T14:37:59.750401Z","title":"Com- puterMethodsinAppliedMechanicsandEngi- neering351,643–666(2019)https://doi.org/10","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.750401Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:0d88ef518396f6599dcdc2f8217e849f08562deb9e3cf5864bb6bce14c6d1ffd","observation_id":"f1d6b08f-593c-4416-926d-57ea4f913066","resolution":{"observed_at":"2026-08-01T14:37:59.750401Z","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.probengmech.2018.08.001","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Probabilistic Engineering Mechanics55, 1–16 (2019) https: //doi.org/10.1016/j.probengmech.2018.08.001","venue":"Probabilistic Engineering Mechanics","work_id":"96d2504f-93f5-4082-94c7-d1110ce870a5","year":2019},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.865194Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:beb0b66217cf1a15048e1115754a845377633f827737d68543d8caf0c8dc3e4d","observation_id":"2c658dba-761a-40e1-a78c-d7b7e7c919ea","resolution":{"observed_at":"2026-08-01T14:38:38.291069Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:37:59.985182Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-01T14:37:59.985182Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:47ca4aa48b0d775c51a8b0f7aab1e358fcfd42c62d156c9f6c242d591136e486","observation_id":"2aa8dd89-c068-4360-93e7-6e59d5fb9427","resolution":{"observed_at":"2026-08-01T14:37:59.985182Z","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":"2026-08-01T14:38:00.095032Z","title":"Reliability Engi- neering&SystemSafety93(7),964–979(2008) https://doi.org/10.1016/j.ress.2007.04.002","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:00.095032Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:d99760628f67593fcfbb71708e14bf89448b12f3d40fceabcd85c2fffcc4c30b","observation_id":"69819bf0-ca1c-4a34-a6e2-e9cb6b01f3f0","resolution":{"observed_at":"2026-08-01T14:38:00.095032Z","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":"2026-08-01T14:38:00.233577Z","title":"Reliability Engineering & System Safety94(7),1161–1172(2009)https://doi.org/ 10.1016/j.ress.2008.10.008","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:00.233577Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:139e4e64fd44f47e2ab84c5ca9bad658d876d3ee7061e6c6fa9624ebffeee62d","observation_id":"24b55527-92e3-4e4b-a013-5a063cb38db5","resolution":{"observed_at":"2026-08-01T14:38:00.233577Z","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":"2026-08-01T14:38:00.355972Z","title":"IEEE Con- trolSystemsLetters2(1),169–174(2017)https: //doi.org/10.1109/LCSYS.2017.2778138","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:00.355972Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:778545f6eb841f494a2e252d3cf70470df13d763851351f1bc768bab470f4d73","observation_id":"9c99d074-64e7-4cd5-a447-6aa75d1f8987","resolution":{"observed_at":"2026-08-01T14:38:00.355972Z","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":"2026-08-01T14:38:00.511017Z","title":"In: Hesthaven, J., Rønquist, E","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:00.511017Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:6db18dd8e7409d8315e6036a5e98a170be612e338f1d4d92219d22e2da3fc4c6","observation_id":"85b9d488-da07-4252-869b-20f293204414","resolution":{"observed_at":"2026-08-01T14:38:00.511017Z","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":"10.1016/j.jcp.2009.10.043","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Computa- tional Physics229(5), 1536–1557 (2010) https://doi.org/10.1016/j.jcp.2009.10.043 64","venue":"Journal of Computational Physics","work_id":"2dd37f80-cade-4590-b653-608d30f1e650","year":2010},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:00.744908Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:52cda0409c21ccf47a6bc9f2c46886129a644c1f81f652d7000b3bcad37d9fdc","observation_id":"7ea742a3-9c71-40e4-a140-c122b4fa9430","resolution":{"observed_at":"2026-08-01T14:38:37.976649Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:38:00.852162Z","title":"Journal of Computational Physics 230(6), 2345–2367 (2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:00.852162Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:49024f2996632a9dc8124cbf7d4ff1518c507207a57a197d2acf57e26f969592","observation_id":"f00818f6-3d16-405f-ab9b-6ef587834993","resolution":{"observed_at":"2026-08-01T14:38:00.852162Z","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":"2026-08-01T14:38:00.961790Z","title":"Journal of Computational Physics 230(8), 3015–3034 (2011) https://doi.org/10","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:00.961790Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:9804dcb3497f187a5c32742d02ac0d95c2b722c7fa2befe47776b0269d33b452","observation_id":"d63e36d9-8136-4ffb-9bf5-936aeab6672d","resolution":{"observed_at":"2026-08-01T14:38:00.961790Z","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":"10.1137/20m1315774","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"org/10.1137/20M1315774","venue":"SIAM/ASA Journal on Uncertainty Quantification","work_id":"3c96b3e1-7f85-4b92-9f89-63230651eb27","year":2021},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:01.040816Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:b77885581c194552bb8e88e06694178831af3c47b6b8852123eb9197da926a65","observation_id":"7265f124-bc2a-48e1-9066-50721185d317","resolution":{"observed_at":"2026-08-01T14:38:37.665591Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-21T19:38:13.611758+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-21T19:38:13.611758+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2019.07.048","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Computational Physics397, 108850 (2019) https://doi.org/10.1016/j.jcp.2019.07.048","venue":"Journal of Computational Physics","work_id":"dd95f70c-053b-41e8-92a8-3d9ac2988d9c","year":2019},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:01.169108Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:d479af83e91f62f0a0e4aaf70e9521eab6250749ddfff8c7a63974c806cb167c","observation_id":"0ddd72b7-f7ea-4804-88c2-e833a65d0e53","resolution":{"observed_at":"2026-08-01T14:38:37.411246Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:38:01.275455Z","title":"Analysis and Applications17(1) (2019) https://doi.org/10.1142/S0219530518500203","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:01.275455Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:4a9ca085376fab1f351ff9a89f096923783041fe32d9ce3d269e1683d83ab217","observation_id":"dfc32819-d5cd-412d-9692-d347146a3d84","resolution":{"observed_at":"2026-08-01T14:38:01.275455Z","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":"2026-08-01T14:38:01.453125Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:01.453125Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:e171a747eb6974b62ca0c8229c4deff0e7b52ff1053f9396dd3d1a460e6af070","observation_id":"8423142d-4eeb-45d6-9ce1-9ddbd038c526","resolution":{"observed_at":"2026-08-01T14:38:01.453125Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.02939","last_updated":"2021-05-05T17:52:21Z","snapshot_observed_at":"2026-08-16T18:26:48.164696Z","submitted_at":"2021-05-05T17:52:21Z","title":"PCE-PINNs: Physics-Informed Neural Networks for Uncertainty Propagation in Ocean Modeling","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.02939","snapshot_observed_at":"2026-08-01T14:38:01.696172Z","title":"arXiv (2021) https://doi.org/ 10.48550/arXiv.2105.02939","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:01.696172Z"},"links":{"cited_paper":"/paper/2105.02939","citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:e05f5965a7ec89453003e91723416cc6ee37ae1736c82783cce06572fd660f43","observation_id":"2c11a1c6-407f-4f96-b3f2-be9481dbd832","resolution":{"observed_at":"2026-08-01T14:38:01.696172Z","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":"2026-08-01T14:38:01.855616Z","title":"Reliability Engineering & System Safety227, 108732 (2022) https://doi.org/10","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:01.855616Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:ffe8efa1d1d03ea3911a3fd29896a03240b3c78267cabb656ac32ca6386aedb6","observation_id":"8afe31cb-f1bf-4060-bb8a-4dd1449c645a","resolution":{"observed_at":"2026-08-01T14:38:01.855616Z","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.neunet.2023.06.036","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Neural Networks166, 85–104 (2023) https:// doi.org/10.1016/j.neunet.2023.06.036","venue":"Neural Networks","work_id":"fd7b3510-bac9-42da-add6-edc6d8453f30","year":2023},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:01.988251Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:c22dac37f2ec578ba29f8a1e3431480f1d8692aad824f242df515bf03a102fa6","observation_id":"b68fc63d-c41f-44f2-9df4-235213f6dfeb","resolution":{"observed_at":"2026-08-01T14:38:37.165353Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:38:02.105215Z","title":"Reliability Engineering & System Safety 229, 108813 (2023) https://doi.org/10.1016/j","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.105215Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:5dda7c6979bb556d86f8f6c81b7321427f5df5a36d7343412187f773b07a81ac","observation_id":"23be910a-26f9-489a-88de-9d4dd5aed84b","resolution":{"observed_at":"2026-08-01T14:38:02.105215Z","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":"2026-08-01T14:38:02.204256Z","title":"Journal of Computational Physics 539, 114233 (2025) https://doi.org/10.1016/j","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.204256Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:0e8916fef31ada24ddc44e918ed837825e0cc04828bc09aae29ec80a80578573","observation_id":"30a03e6c-ceae-4940-a569-8f74399b9151","resolution":{"observed_at":"2026-08-01T14:38:02.204256Z","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":"2026-08-01T14:38:02.372204Z","title":"29th Interna- tional Conference on Artificial Intelligence and Statistics (AISTATS) (2026) https://doi.org/10","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.372204Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:73c0ed7864f8130f2d710fa89ac807709f73d5109c28d85baabfe407ef5736fd","observation_id":"16c3ba1f-aa90-49c0-9276-77821d7598c0","resolution":{"observed_at":"2026-08-01T14:38:02.372204Z","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":"2026-08-01T14:38:02.505906Z","title":"Journal of Computational Science71, 102039 (2023) https://doi.org/10.1016/j.jocs.2023.102039","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.505906Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:8e3d90f886f2aefd49bdad6e823ecc4b44a8a47d37fe93b09184263eeee134f5","observation_id":"11c1afc2-946e-43c1-b972-91fa7e607186","resolution":{"observed_at":"2026-08-01T14:38:02.505906Z","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/cnm.3178","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"In- ternational Journal for Numerical Methods in Biomedical Engineering35(5), 3178 (2019) https://doi.org/10.1002/cnm.3178","venue":"International Journal for Numerical Methods in Biomedical Engineering","work_id":"6cefe94b-59a5-4681-87eb-c734f62db6bb","year":2019},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.644378Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:49f4befd9e8e60b6ca96256aa65405082f0606407b0a921292b7f97d4bd980c6","observation_id":"cdd27bdb-8b13-46a5-adbf-e6c5655a4055","resolution":{"observed_at":"2026-08-01T14:38:36.875491Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:38:02.761122Z","title":"Biomechanics and Modeling in Mechanobiol- ogy22(3), 885–904 (2023) https://doi.org/10","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.761122Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:864534d8c694f0c03bfecddfbfbc6eb63963e0d567cb5cb415f886dd2ea98c35","observation_id":"aae36925-1242-4c65-a702-9a87f2dcc9a7","resolution":{"observed_at":"2026-08-01T14:38:02.761122Z","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":"10.10520/aja0038223x_4792","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:38:36.464260Z","title":"Journal of the Southern African Institute of Mining and Metallurgy52(6), 119–139 (1951) https://doi.org/10.10520/AJA0038223X_4792","venue":null,"work_id":"d74fb716-d1dc-4fe3-8a9d-f8aec4d855e2","year":1951},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.818100Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:c431ccbe8eb1a87a21fa03882f32b879aeea98ddcc3e7983cddea2136ef85739","observation_id":"e9cfde89-8acf-462c-9caa-50e8f39c33a8","resolution":{"observed_at":"2026-08-01T14:38:36.574263Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2984861","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:38:36.187292Z","title":"Journal of the Royal Statistical Society.SeriesB(Methodological)40(1),1–42 (1978) https://doi.org/10.2307/2984861","venue":null,"work_id":"8d7e841b-fbae-47a9-ba06-b6f4f6705463","year":1978},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.874001Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:9469dadbe18833ead7ef3328ed5be783a8c47fa8a019e3f958416de9b510e005","observation_id":"7addb120-5847-4fb4-b420-037b602b73f9","resolution":{"observed_at":"2026-08-01T14:38:36.301534Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:38:02.955310Z","title":"https: //doi.org/10.1142/S0129065704001899","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:02.955310Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:ba6c40621dcf142cc34082e6ef6ef4524b7bbbec4be5c8dd9de0d0a09405201b","observation_id":"892634f5-4043-490a-9a7f-c7469cd80374","resolution":{"observed_at":"2026-08-01T14:38:02.955310Z","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":"2026-08-01T14:38:03.071684Z","title":"Norwegian Computing Center, Norway (1997)","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:03.071684Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:4777a43fa850c3d37b759b7ea3225e414fdc58c8aa3f181b7dedff8aac156b25","observation_id":"9cb5120b-5838-4c41-b329-e221b878cfce","resolution":{"observed_at":"2026-08-01T14:38:03.071684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0911.5367","last_updated":"2009-12-04T19:51:36Z","snapshot_observed_at":"2026-08-15T05:32:50.781949Z","submitted_at":"2009-11-28T01:42:04Z","title":"Positive Definite Kernels in Machine Learning","version":2},"cited_work":{"arxiv_id":"0911.5367","doi":"10.48550/arxiv.0911.5367","metadata_source":"pith","pith_arxiv_id":"0911.5367","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Positive Definite Kernels in Machine Learning","venue":"stat.ML","work_id":"fcaf5d5a-12e0-40c8-9cf6-90c2c80e716e","year":2009},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:03.136115Z"},"links":{"cited_paper":"/paper/0911.5367","citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:a2f2d795cfd04be9934e31e67dbcb9a5a0b5668e4236e10689c229ce00c7784f","observation_id":"75f66699-673c-4569-b785-2c02cdfd04df","resolution":{"observed_at":"2026-08-01T14:38:36.054875Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:38:03.218482Z","title":"PhD thesis, Uni- versity of Cambridge, UK (2014)","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:03.218482Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:bdc9141dd2066effa6f9950e1d215c9bc94715982b7bcb5bc363065ec8006c3b","observation_id":"fb6bf9e4-0563-48de-96e4-7928a0185cc0","resolution":{"observed_at":"2026-08-01T14:38:03.218482Z","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":"2026-08-01T14:38:03.272131Z","title":"International Journal for Uncertainty Quantification 5(2) (2015) https://doi.org/10.1615/Int.J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:03.272131Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:693f8860ab7d9aa2bb3198608367826c767250f6f7522ca6dc5beeb63750f76e","observation_id":"4fed1071-fd18-4a83-86c0-7933517ff1bc","resolution":{"observed_at":"2026-08-01T14:38:03.272131Z","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":"2026-08-01T14:38:03.322517Z","title":"Machine Learning20(3), 273–297 (1995) https://doi.org/10.1007/BF00994018","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:03.322517Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:46c2ba26eaa2d88fe11a9f9192e902dc254c9ce1121182d23729b006b4b28bbe","observation_id":"7513c5db-17c2-4123-a9a3-5ab037480af3","resolution":{"observed_at":"2026-08-01T14:38:03.322517Z","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":"10.1007/978-3-642-41136-6_11","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"In: Schölkopf, B., Luo, Z., Vovk, V","venue":null,"work_id":"d052853a-c1c0-4e08-8b3f-7d08a80c28af","year":2013},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:03.371220Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:85ec12de99c4e0cf4fd1ad64ca9fa0978608a197ef291e6ededbdbc439869375","observation_id":"520dba4c-b12f-4efa-80c1-848014fef068","resolution":{"observed_at":"2026-08-01T14:38:35.864096Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-01T14:38:03.489220Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:03.489220Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:01c1b195a88451d7d08ea0f22b63668b2504e351d74e21ee3bfbab6cdbfc6199","observation_id":"8ffe112d-2384-41c9-a7c4-6468a4dc8b47","resolution":{"observed_at":"2026-08-01T14:38:03.489220Z","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":"2026-08-01T14:38:03.599783Z","title":"Reliability Engineering & System Safety94(3), 742–751 (2009) https:// doi.org/10.1016/j.ress.2008.07.008","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective","version":1},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-08-01T14:38:03.599783Z"},"links":{"citing_paper":"/paper/2607.18734"},"observation_digest":"sha256:9240c215105e70170da75e23d68fd69525dbb02a1bf78bf468dc32fbe688d1ad","observation_id":"7467afea-1a40-48a8-8fdf-3f0fe1feba90","resolution":{"observed_at":"2026-08-01T14:38:03.599783Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.18734","last_updated":"2026-07-21T05:46:28Z","latest_version":1,"primary_category":"physics.comp-ph","snapshot_observed_at":"2026-08-19T14:16:20.045429Z","submitted_at":"2026-07-21T05:46:28Z","title":"Uncertainty quantification in mechanics: A unified Bayesian perspective"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":20,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":55,"verified_exact":24,"verified_fuzzy":0},"total_outbound_references":259},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 100 of 259 outbound references and 0 inbound Pith citation observations for arXiv:2607.18734."}