{"as_of":"2026-08-23T17:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:76778694651d1295e4358e367c203f35a37e1f4397830ff9b47f05a5b6e34821","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T17:24:24.426529Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/2507.11088/citation-record","integrity":"/paper/2507.11088/integrity","json":"/paper/2507.11088/citation-record.json","paper":"/paper/2507.11088"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/sim.3034","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Mendelia n randomization: using genes as instruments for making causal inferences in epidemio logy","venue":"Statistics in Medicine","work_id":"1baf6a24-8886-4858-a02e-5ee54885784f","year":2008},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.283279Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:db847bb4421f26c8276603062cfa9d9d4eaf964ca9f073d62b03608371526236","observation_id":"b6ecc723-f95d-4804-95b2-5eb418023f50","resolution":{"observed_at":"2026-08-06T17:24:26.354409Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:29.777309Z","title":"Mendelian randomization: methods for causal inference usi ng genetic variants","venue":null,"work_id":"bb585f9a-bac0-4cfc-a415-fdc911d54c65","year":2021},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.361064Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:b1c1a764a7c38796ec78a9550391b10280f3c251919f319e20d266f4744ca0dd","observation_id":"2c3824cb-6a36-49e9-9e11-6b9291a540b7","resolution":{"observed_at":"2026-08-06T17:24:29.827225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1177/0962280206077743","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Mendelian randomization as an instrumental variable approach to causal inference","venue":"Statistical Methods in Medical Research","work_id":"f8c38224-5c46-4c1e-8158-d3031e6e244e","year":2007},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.473502Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:cb46dad25324c860e30737883c6efaa58a17a2da6d98d597e7a5825e402ee6ad","observation_id":"6e633d80-b6e6-4f9e-80d1-d6ade1863126","resolution":{"observed_at":"2026-08-06T17:24:26.195753Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:21.589557Z","title":"Identiﬁcation of causal eﬀects us ing instrumental variables","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.589557Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:71f05a00774014ffa227f7dc0c9deaaa43e0f18b2a2b6d56fe157882249f0377","observation_id":"e49ea993-a85c-45c1-af85-8e6fbabecdf8","resolution":{"observed_at":"2026-08-06T17:24:21.589557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:21.710396Z","title":"Identiﬁcation and estimation of local ave rage treatment eﬀects","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.710396Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:7d45c3e67a95b8acd0da6b9d1349359bb76a69bfa4bca89ca2ccfd66083bfc5f","observation_id":"17937111-ea8b-4074-a5b2-9bd85e3356c9","resolution":{"observed_at":"2026-08-06T17:24:21.710396Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:29.678180Z","title":"A data-adaptive method for investiga ting eﬀect heterogeneity with high-dimensional covariates in Mendelian randomization","venue":null,"work_id":"a80778f7-d9b0-4a2b-9c10-45dca2e58ef1","year":2024},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.828975Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:4ee19e0f2e1ad2a9cfeb5e765254d15877b3baa7a9af78623b70dc40f96b2913","observation_id":"4a1fb6eb-6b14-4e9f-b32a-90036ba4632b","resolution":{"observed_at":"2026-08-06T17:24:29.724794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:29.554929Z","title":"Identiﬁcation of eﬀect modiﬁers using a stratiﬁed 13 Mendelian randomization algorithmic framework","venue":null,"work_id":"7d833cff-fbbf-42d0-ad21-48743d6c116e","year":2025},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:21.965656Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:1aeb7b361cc1ca334e09e4f785647916f84dac5e552ff0ca7a5bd4baff01ae55","observation_id":"d06c8e53-9850-4aa3-9af5-df73cb193b77","resolution":{"observed_at":"2026-08-06T17:24:29.608630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1097/ede.0000000000000161","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Instrumental variable analysis with a nonlinear exposure–outcome relationship","venue":"Epidemiology","work_id":"17eaa6a9-cd3b-4aa3-a692-1e3ac8fd7e55","year":2014},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.072730Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:d4110439f7fd5add54e3fb43dcf0cfd762a433eff73f66c47354117e39a17d91","observation_id":"e077b11e-4ebb-4509-9e2a-f0dcbdf7e4b3","resolution":{"observed_at":"2026-08-06T17:24:26.066920Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:29.432900Z","title":"Statistics in medicine – reporting of subgroup analyses in clinical trials","venue":null,"work_id":"51a39baa-fc2e-48d3-a0c0-cca1e2f1542a","year":2007},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.195313Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:570b563420edfce72c0d3a43cecc1e291bc874e2f15a20e11cdcf905f38c4c6b","observation_id":"df2be24e-be8e-4fe8-b770-c0fe5b606cc6","resolution":{"observed_at":"2026-08-06T17:24:29.498859Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:22.265728Z","title":"Illustrating bias due to conditioning on a collider","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.265728Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:b84864608fb3f63fa56531bc233b151be64a28380c866b7463d34753638122a3","observation_id":"d319a406-1a18-4f30-8000-1b7aa0d873da","resolution":{"observed_at":"2026-08-06T17:24:22.265728Z","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":"1991.03470","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:26.520426Z","title":"Analysis and interp retation of treatment eﬀects in subgroups of patients in randomized clinical trials","venue":null,"work_id":"a6f03c9f-5a87-439e-b898-56f671baf53c","year":1991},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.314111Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:9190ca337d54ecd93714c75bd1c7b8f9c0bba0a20f5ca48e91ef02fc4d600c27","observation_id":"edba9c60-c56a-41ad-850c-ac707c368161","resolution":{"observed_at":"2026-08-06T17:24:26.619181Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:29.323842Z","title":"C-reactive protein levels and risk of dementia","venue":null,"work_id":"cb6077eb-906e-4bed-b5e7-ffcc4c0dcfec","year":2022},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.319572Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:10621911a52d3997ad48e34ea5bf3536752f94281704562ae53f8dd2963953a6","observation_id":"77e8786e-2c2c-4378-98fe-95ccdb7fb2d4","resolution":{"observed_at":"2026-08-06T17:24:29.369946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/gepi.22041","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Semiparametric methods for estimation o f a nonlinear exposure- outcome relationship using instrumental variables with application to Mendelian randomization","venue":"Genetic Epidemiology","work_id":"d0b98b5e-addf-4389-9740-221c422e0933","year":2017},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.390916Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:d077d6a6211ebce8e5c56d78fa8ec5fd6709798004005ad8e1f2a87e3f01dd76","observation_id":"960fbf22-2ea7-43f8-9bef-77edbf230ea9","resolution":{"observed_at":"2026-08-06T17:24:25.916945Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:29.218509Z","title":"Relaxing parametric assumpt ions for non-linear Mendelian randomization using a doubly-ranked stratiﬁcation metho d","venue":null,"work_id":"0980e509-273b-4fe8-b54b-502e0a131a58","year":2023},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.474441Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:5eb730ed244bf21d9dc7bf4b3c1736a69a71ab1b23aa12d3c810a4c2b0f5fd3a","observation_id":"dcc33c47-db02-49ce-844f-90420e36f3fa","resolution":{"observed_at":"2026-08-06T17:24:29.258544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:29.081644Z","title":"Violation of the constant genetic eﬀect assumption can result in biased estimates for non-linear Mendelian randomization","venue":null,"work_id":"53f588da-da56-4a3a-a8fd-4af1055e6371","year":2023},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.543262Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:c50d265bc9ec7e0a0bcf809725a4bf28f213bbd87fe772d3c109c490383e9cd0","observation_id":"6a1b8f64-55b1-476b-8a00-476cfcd29a3e","resolution":{"observed_at":"2026-08-06T17:24:29.150629Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.912667Z","title":"Non-linear Mendelian randomization: evaluation of eﬀe ct modiﬁcation in the residual and doubly-ranked methods with simulated and empirica l examples","venue":null,"work_id":"9506bac5-c58c-447f-b583-c9edba874763","year":2025},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.605575Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:a4ba6e2fdb38ec9e4b396adb210a87b76c65476f8b5e3cf399742d5a6008b248","observation_id":"95b0920a-b1df-41c8-bf91-dd2c4f69c2d0","resolution":{"observed_at":"2026-08-06T17:24:28.988310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.786030Z","title":"Modeling site eﬀec ts in the design and analysis of multi-site trials","venue":null,"work_id":"531c1541-05a9-4bfe-9059-4c05b96d7ee4","year":2011},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.675499Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:b5bd6d560590300f6ec29ede486b09c870c24d972541f01b6ce6cd44066fefcc","observation_id":"8e5ca3f9-8e37-4484-b861-f9f83f8474bb","resolution":{"observed_at":"2026-08-06T17:24:28.852347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.670980Z","title":"How should meta-regression analyses be undertaken and interpreted? Statistics in medicine 2002; 21(11):1559–1573","venue":null,"work_id":"6e658c58-d16d-4dd9-ac09-db64a5e71e9b","year":2002},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.747510Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:c814cb00d5aa7a69a6f7cc1d9ccb2003a48a04dee01533e943efb466df9d231a","observation_id":"92fb7ae1-3094-4111-ac6c-2d4e68c1d050","resolution":{"observed_at":"2026-08-06T17:24:28.716568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/sim.6835","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Combining information on multiple instrumental variables in Mendelian randomization: comparison of allele score and su mmarized data methods","venue":"Statistics in Medicine","work_id":"be55f0ac-f0b6-4086-b87f-38690f34a509","year":2016},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.870037Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:0a9488bba3bdb507cfabe6a7c55c8dddd96ec5b85f42708f111da101e58c4818","observation_id":"9fd05c87-2632-47fd-bf64-8a0ba21acaef","resolution":{"observed_at":"2026-08-06T17:24:25.735575Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/aje/kwy185","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"American Journal of Epidemiology","work_id":"5247395a-9e6a-4c3d-9b60-ca459c9a979e","year":2018},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:22.950048Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:7300b029352e44ec594fabe527e7bfba376a78b52342f7bc55d84ed5902b603e","observation_id":"620317c8-dcbc-461a-90dd-19e9f3245f29","resolution":{"observed_at":"2026-08-06T17:24:25.533236Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:23.032052Z","title":"Improving the accuracy of two-sample summary data Mendelian ran domization: moving beyond the NOME assumption","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.032052Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:6e49bb8d88a4fb40d4c707fdd71a4e1c354f3e4689c120495ee3d19fa4f5ceca","observation_id":"84cb8728-1a77-4e49-9df7-7d04da2d7319","resolution":{"observed_at":"2026-08-06T17:24:23.032052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s41588-018-0099-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Detection of widespread ho rizontal pleiotropy in causal relationships inferred from Mendelian randomization betwee n complex traits and diseases","venue":"Nature Genetics","work_id":"b3aa59ad-dbf5-4e14-ab28-087d7ea39027","year":2018},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.121487Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:87e3042e32c80dfd9891b47a9de1dc00f8c46e536f2794b87887ab5d7f57e77c","observation_id":"45fc1a21-b1bc-489c-8de2-c71098ff2d0c","resolution":{"observed_at":"2026-08-06T17:24:25.380514Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-08-06T18:20:21.450369+00:00","source":"paper_reference_links","state":"open"},"event_date":"2018-07-02","event_type":"correction","notice_doi":"10.1038/s41588-018-0164-2","provenance":{"observed_at":"2026-07-11T03:07:47.407076+00:00","source":"crossref","source_record_id":"10.1038/s41588-018-0164-2->10.1038/s41588-018-0099-7:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.568310Z","title":"Estimating dose-response relationships for vitamin d with coronary heart disease, stroke, and all-cause mortality: obs ervational and mendelian randomisation analyses","venue":null,"work_id":"1a37ecd5-22c3-43aa-aa9c-e07b92333e1d","year":2024},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.200638Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:27df352a84bb1f5a870e49820a04516ec181bad9e5b64cef41b34a32fa5e31d2","observation_id":"1a657974-2326-44b4-9d29-bd2e7ec41731","resolution":{"observed_at":"2026-08-06T17:24:28.613350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.455192Z","title":"Towards more reliable non-linear mendelian randomiza tion investigations","venue":null,"work_id":"65d08716-4c44-44ab-a4f9-03ab414c04fc","year":2024},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.268199Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:3c0c48e6ed39ffc58bca30bde176edf04c736a47d860984ce0a819749c5c786b","observation_id":"23ca7452-21e5-44bb-8bfb-7f96a21cd9df","resolution":{"observed_at":"2026-08-06T17:24:28.492813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0304-4076(74)90033-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"The nonlinear two-stage least-squares estimator","venue":"Journal of Econometrics","work_id":"eaaafdcf-f079-4efe-b9b8-3aad58718688","year":1974},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.341571Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:d0ffe29190c0fb47094a4147740ead48d78f069fa43082b1f65a3ad56b0054f7","observation_id":"b533af20-c189-4cb3-971a-2be86b08d4b2","resolution":{"observed_at":"2026-08-06T17:24:25.202004Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.333518Z","title":"Linearity in instrumental variables estimat ion: Problems and solutions","venue":null,"work_id":"74db3378-99c4-42c3-826d-8a148976281b","year":2010},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.398411Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:d5fbc78e420acda0e70e5a1ef9227fdcb0d4cedaa8ea65c04232ccff98445f34","observation_id":"4e77908b-f21d-4e99-9369-b8cdb710a15a","resolution":{"observed_at":"2026-08-06T17:24:28.400297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:28.239639Z","title":"Deep iv: A ﬂexib le approach for counterfactual prediction","venue":null,"work_id":"e249fe56-f923-427c-96e9-6fb734080a98","year":2017},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.472386Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:9632095d2a76c43025237f0faecba706fa9f32352901964afa70b9e1093abf0f","observation_id":"af1b8cf5-e017-44cc-8a5e-5e76e06edcc0","resolution":{"observed_at":"2026-08-06T17:24:28.278890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:27.984510Z","title":"Kernel instrumental variable re gression","venue":null,"work_id":"40f30aad-c473-4ca7-8b57-f064c10441d9","year":2019},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.540217Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:89cb383ff7521616d6f3b32e363d657517327505c5092a5fa9bd0f41961556a6","observation_id":"44b0231e-b94a-49db-8588-7173d656ff4e","resolution":{"observed_at":"2026-08-06T17:24:28.126938Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:27.769433Z","title":"Deep generalized method of mo ments for instrumental variable analysis","venue":null,"work_id":"2d674ebb-a271-4f8c-88b3-7145d22350f1","year":2019},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.595388Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:3165c2d224ae3f71d354dd7f70f4f2076bdbc2ce10e72d1fb6fbce3ba263e207","observation_id":"b4e173ab-f2d7-4083-9171-d336efce9bcb","resolution":{"observed_at":"2026-08-06T17:24:27.889702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:27.516195Z","title":"Control function instrumental variable estima tion of nonlinear causal eﬀect models","venue":null,"work_id":"40eea0cd-33fd-47fb-bc40-e232f5293722","year":2016},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.671696Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:d9b80ac1f7cd50b5e66ac8cadecd55f9c4b90c912eee5bffa383336058cceee9","observation_id":"87ab182b-a9ee-470b-b332-180be4884bfe","resolution":{"observed_at":"2026-08-06T17:24:27.616952Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:27.278277Z","title":"Polynomial Mendelian randomization r eveals non-linear causal eﬀects for obesity-related traits","venue":null,"work_id":"18a4a023-4d23-4cdd-89d0-bf681b7ffad9","year":2022},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.740515Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:1dbabe29576567a7c2e50094cb5545f61123264b360a5149244c6151afe6a209","observation_id":"3f0ddb88-84a7-4653-9897-21647a0b7d82","resolution":{"observed_at":"2026-08-06T17:24:27.379119Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:27.121289Z","title":"Non-linear Mendelian randomization: detection of biases using negative controls with a fo cus on BMI, Vitamin D and LDL cholesterol","venue":null,"work_id":"07c97dcd-5db1-49cb-8c05-ffaafcde7a62","year":2024},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.815342Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:25602f0db6fc249011d21fb35d2b909f4776945a8b6f9c04b48a7969ee121636","observation_id":"69fab850-d17d-4e8e-aeb9-7b8eb0e0e5bd","resolution":{"observed_at":"2026-08-06T17:24:27.163133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:26.988567Z","title":"Conventional and genetic evidence on alcohol and vascular diseas e aetiology: a prospective study of 500 000 men and women in China","venue":null,"work_id":"475804b0-b02f-4626-a1d8-45c262e1dee8","year":2019},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.860914Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:f5fcf3bee624ac865b66bb5ab18d6134d8124946c3a7c38723a26659c6873d94","observation_id":"7f6d399f-5ca5-474d-8e2d-49b3af9d5cd8","resolution":{"observed_at":"2026-08-06T17:24:27.054413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1158/1055-9965","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Alcohol, ALDH2, and esophageal cancer : a meta-analysis which illustrates the potentials and limitations of a Mendelian randomization a pproach","venue":"eCite Digital Repository (University of Tasmania)","work_id":"c56859c0-a0f2-4f1b-880b-0f8bda882199","year":2005},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:23.947697Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:462c0d0d04dccabc59f685e8ea4f6038e1ac5c5df7bcd94dada615113d317c8e","observation_id":"0e1b79ad-170a-4972-80e5-46549bd5c992","resolution":{"observed_at":"2026-08-06T17:24:25.028015Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/ije/dyx002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Pleiotropy-robust Mendelian rand omization","venue":"International Journal of Epidemiology","work_id":"898c2136-c052-497e-93d9-07b0224ae8a3","year":2018},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.047946Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:7ca0f6d4e2434d188ff7fbd74d69bb494d98e56372b1d6ef8a270f5d9b71cdb9","observation_id":"d7170130-a7eb-4668-a893-036a20d9b8c1","resolution":{"observed_at":"2026-08-06T17:24:24.803898Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/ije/dyy202","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Detecting and corr ecting for bias in Mendelian randomization analyses using gene-by-environment inter actions","venue":"International Journal of Epidemiology","work_id":"9c5cfebf-6a79-4653-8f0f-e716b9e114f6","year":2019},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.149316Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:694a07cc97b44b7c4cbedeff081aa31803d15b1a4af96594b01ab8e662247600","observation_id":"7059ab89-c0e9-426d-9e22-94974bc19837","resolution":{"observed_at":"2026-08-06T17:24:24.583728Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:26.849471Z","title":"The GENIUS approach t o robust Mendelian randomization inference","venue":null,"work_id":"ea4a2e2e-787e-40ab-8007-f09468e90996","year":2021},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.237090Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:0fab2caa35a72d46f19f7a01f167297bf737b2cd3bd46fb44840dbf50f6b8df5","observation_id":"91834a04-cddf-4e96-9363-94a517551c71","resolution":{"observed_at":"2026-08-06T17:24:26.900071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:26.696508Z","title":"Meta-regression of genome-wide association studies to estimate a ge-varying genetic eﬀects","venue":null,"work_id":"ba508e61-f49b-4a08-a8fe-451d3912edf5","year":2024},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.309282Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:193b89e86534e7b1ee20b20ef26f39bb3b47655a92c8c8850a697651ee724361","observation_id":"48e78c5f-6366-4eca-8645-233298ca7b02","resolution":{"observed_at":"2026-08-06T17:24:26.751490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:24:24.426529Z","title":"Commentary: Interpretation and sensitivity analysis for the localized average causal eﬀect curve","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T17:24:24.426529Z"},"links":{"citing_paper":"/paper/2507.11088"},"observation_digest":"sha256:6f69ec62ac1bfe3793a732fe2100f9be8d36834b859fa11e1b480e77e15d68b2","observation_id":"ee909492-f897-4747-98ce-e7d49b102fb4","resolution":{"observed_at":"2026-08-06T17:24:24.426529Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.11088","last_updated":"2025-07-15T08:29:24Z","latest_version":1,"primary_category":"stat.ME","snapshot_observed_at":"2026-08-14T10:53:40.132074Z","submitted_at":"2025-07-15T08:29:24Z","title":"Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":1,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":4,"verified_exact":11,"verified_fuzzy":22},"total_outbound_references":39},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2507.11088."}