Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T17:24:24.426529Z
Paper Citation Record · LEDGER
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
39 of 39 outbound references displayed
- verified exact11
- verified fuzzy22
- unresolved4
- parse uncertain0
- malformed identifier1
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b6ecc723-f95d-4804-95b2-5eb418023f50 · outbound
This paper cites Mendelia n randomization: using genes as instruments for making causal inferences in epidemio logy.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Mendelia n randomization: using genes as instruments for making causal inferences in epidemio logy
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:26.354409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2c3824cb-6a36-49e9-9e11-6b9291a540b7 · outbound
This paper cites Mendelian randomization: methods for causal inference usi ng genetic variants.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Mendelian randomization: methods for causal inference usi ng genetic variants
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:29.827225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6e633d80-b6e6-4f9e-80d1-d6ade1863126 · outbound
This paper cites Mendelian randomization as an instrumental variable approach to causal inference.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Mendelian randomization as an instrumental variable approach to causal inference
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:26.195753Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e49ea993-a85c-45c1-af85-8e6fbabecdf8 · outbound
This paper cites Identification of causal effects us ing instrumental variables.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Identification of causal effects us ing instrumental variables
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T17:24:21.589557Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17937111-ea8b-4074-a5b2-9bd85e3356c9 · outbound
This paper cites Identification and estimation of local ave rage treatment effects.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Identification and estimation of local ave rage treatment effects
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T17:24:21.710396Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a1fb6eb-6b14-4e9f-b32a-90036ba4632b · outbound
This paper cites A data-adaptive method for investiga ting effect heterogeneity with high-dimensional covariates in Mendelian randomization.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity A data-adaptive method for investiga ting effect heterogeneity with high-dimensional covariates in Mendelian randomization
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:29.724794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d06c8e53-9850-4aa3-9af5-df73cb193b77 · outbound
This paper cites Identification of effect modifiers using a stratified 13 Mendelian randomization algorithmic framework.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Identification of effect modifiers using a stratified 13 Mendelian randomization algorithmic framework
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:29.608630Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e077b11e-4ebb-4509-9e2a-f0dcbdf7e4b3 · outbound
This paper cites Instrumental variable analysis with a nonlinear exposure–outcome relationship.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Instrumental variable analysis with a nonlinear exposure–outcome relationship
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:26.066920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation df2be24e-be8e-4fe8-b770-c0fe5b606cc6 · outbound
This paper cites Statistics in medicine – reporting of subgroup analyses in clinical trials.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Statistics in medicine – reporting of subgroup analyses in clinical trials
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:29.498859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d319a406-1a18-4f30-8000-1b7aa0d873da · outbound
This paper cites Illustrating bias due to conditioning on a collider.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Illustrating bias due to conditioning on a collider
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T17:24:22.265728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation edba9c60-c56a-41ad-850c-ac707c368161 · outbound
This paper cites Analysis and interp retation of treatment effects in subgroups of patients in randomized clinical trials.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Analysis and interp retation of treatment effects in subgroups of patients in randomized clinical trials
Reference 11
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-06T17:24:26.619181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 77e8786e-2c2c-4378-98fe-95ccdb7fb2d4 · outbound
This paper cites C-reactive protein levels and risk of dementia.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity C-reactive protein levels and risk of dementia
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:29.369946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 960fbf22-2ea7-43f8-9bef-77edbf230ea9 · outbound
This paper cites Semiparametric methods for estimation o f a nonlinear exposure- outcome relationship using instrumental variables with application to Mendelian randomization.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Semiparametric methods for estimation o f a nonlinear exposure- outcome relationship using instrumental variables with application to Mendelian randomization
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:25.916945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation dcc33c47-db02-49ce-844f-90420e36f3fa · outbound
This paper cites Relaxing parametric assumpt ions for non-linear Mendelian randomization using a doubly-ranked stratification metho d.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Relaxing parametric assumpt ions for non-linear Mendelian randomization using a doubly-ranked stratification metho d
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:29.258544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6a1b8f64-55b1-476b-8a00-476cfcd29a3e · outbound
This paper cites Violation of the constant genetic effect assumption can result in biased estimates for non-linear Mendelian randomization.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Violation of the constant genetic effect assumption can result in biased estimates for non-linear Mendelian randomization
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:29.150629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 95b0920a-b1df-41c8-bf91-dd2c4f69c2d0 · outbound
This paper cites Non-linear Mendelian randomization: evaluation of effe ct modification in the residual and doubly-ranked methods with simulated and empirica l examples.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Non-linear Mendelian randomization: evaluation of effe ct modification in the residual and doubly-ranked methods with simulated and empirica l examples
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:28.988310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8e5ca3f9-8e37-4484-b861-f9f83f8474bb · outbound
This paper cites Modeling site effec ts in the design and analysis of multi-site trials.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Modeling site effec ts in the design and analysis of multi-site trials
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:28.852347Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 92fb7ae1-3094-4111-ac6c-2d4e68c1d050 · outbound
This paper cites How should meta-regression analyses be undertaken and interpreted? Statistics in medicine 2002; 21(11):1559–1573.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity How should meta-regression analyses be undertaken and interpreted? Statistics in medicine 2002; 21(11):1559–1573
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:28.716568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9fd05c87-2632-47fd-bf64-8a0ba21acaef · outbound
This paper cites Combining information on multiple instrumental variables in Mendelian randomization: comparison of allele score and su mmarized data methods.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Combining information on multiple instrumental variables in Mendelian randomization: comparison of allele score and su mmarized data methods
Reference 19
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:25.735575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 620317c8-dcbc-461a-90dd-19e9f3245f29 · outbound
This paper cites an unresolved cited work.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Unresolved cited work
Reference 20
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:25.533236Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 84cb8728-1a77-4e49-9df7-7d04da2d7319 · outbound
This paper cites Improving the accuracy of two-sample summary data Mendelian ran domization: moving beyond the NOME assumption.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Improving the accuracy of two-sample summary data Mendelian ran domization: moving beyond the NOME assumption
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T17:24:23.032052Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45fc1a21-b1bc-489c-8de2-c71098ff2d0c · outbound
This paper cites Detection of widespread ho rizontal pleiotropy in causal relationships inferred from Mendelian randomization betwee n complex traits and diseases.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Detection of widespread ho rizontal pleiotropy in causal relationships inferred from Mendelian randomization betwee n complex traits and diseases
Reference 22
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:25.380514Z
Source-reported events for the cited work
correction dated 2018-07-02. Source: crossref record 10.1038/s41588-018-0164-2->10.1038/s41588-018-0099-7:correction, observed 2026-07-11T03:07:47.407076+00:00. This notice travels one citation hop only.
Observation 1a657974-2326-44b4-9d29-bd2e7ec41731 · outbound
This paper cites Estimating dose-response relationships for vitamin d with coronary heart disease, stroke, and all-cause mortality: obs ervational and mendelian randomisation analyses.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Estimating dose-response relationships for vitamin d with coronary heart disease, stroke, and all-cause mortality: obs ervational and mendelian randomisation analyses
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:28.613350Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 23ca7452-21e5-44bb-8bfb-7f96a21cd9df · outbound
This paper cites Towards more reliable non-linear mendelian randomiza tion investigations.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Towards more reliable non-linear mendelian randomiza tion investigations
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:28.492813Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b533af20-c189-4cb3-971a-2be86b08d4b2 · outbound
This paper cites The nonlinear two-stage least-squares estimator.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity The nonlinear two-stage least-squares estimator
Reference 25
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:25.202004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4e77908b-f21d-4e99-9369-b8cdb710a15a · outbound
This paper cites Linearity in instrumental variables estimat ion: Problems and solutions.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Linearity in instrumental variables estimat ion: Problems and solutions
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:28.400297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation af1b8cf5-e017-44cc-8a5e-5e76e06edcc0 · outbound
This paper cites Deep iv: A flexib le approach for counterfactual prediction.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Deep iv: A flexib le approach for counterfactual prediction
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:28.278890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 44b0231e-b94a-49db-8588-7173d656ff4e · outbound
This paper cites Kernel instrumental variable re gression.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Kernel instrumental variable re gression
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:28.126938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b4e173ab-f2d7-4083-9171-d336efce9bcb · outbound
This paper cites Deep generalized method of mo ments for instrumental variable analysis.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Deep generalized method of mo ments for instrumental variable analysis
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:27.889702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 87ab182b-a9ee-470b-b332-180be4884bfe · outbound
This paper cites Control function instrumental variable estima tion of nonlinear causal effect models.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Control function instrumental variable estima tion of nonlinear causal effect models
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:27.616952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3f0ddb88-84a7-4653-9897-21647a0b7d82 · outbound
This paper cites Polynomial Mendelian randomization r eveals non-linear causal effects for obesity-related traits.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Polynomial Mendelian randomization r eveals non-linear causal effects for obesity-related traits
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:27.379119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 69fab850-d17d-4e8e-aeb9-7b8eb0e0e5bd · outbound
This paper cites Non-linear Mendelian randomization: detection of biases using negative controls with a fo cus on BMI, Vitamin D and LDL cholesterol.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Non-linear Mendelian randomization: detection of biases using negative controls with a fo cus on BMI, Vitamin D and LDL cholesterol
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:27.163133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7f6d399f-5ca5-474d-8e2d-49b3af9d5cd8 · outbound
This paper cites Conventional and genetic evidence on alcohol and vascular diseas e aetiology: a prospective study of 500 000 men and women in China.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Conventional and genetic evidence on alcohol and vascular diseas e aetiology: a prospective study of 500 000 men and women in China
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:27.054413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0e1b79ad-170a-4972-80e5-46549bd5c992 · outbound
This paper cites Alcohol, ALDH2, and esophageal cancer : a meta-analysis which illustrates the potentials and limitations of a Mendelian randomization a pproach.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Alcohol, ALDH2, and esophageal cancer : a meta-analysis which illustrates the potentials and limitations of a Mendelian randomization a pproach
Reference 34
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:25.028015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d7170130-a7eb-4668-a893-036a20d9b8c1 · outbound
This paper cites Pleiotropy-robust Mendelian rand omization.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Pleiotropy-robust Mendelian rand omization
Reference 35
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:24.803898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7059ab89-c0e9-426d-9e22-94974bc19837 · outbound
This paper cites Detecting and corr ecting for bias in Mendelian randomization analyses using gene-by-environment inter actions.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Detecting and corr ecting for bias in Mendelian randomization analyses using gene-by-environment inter actions
Reference 36
- Resolution
- verified exact
- doi, observed 2026-08-06T17:24:24.583728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 91834a04-cddf-4e96-9363-94a517551c71 · outbound
This paper cites The GENIUS approach t o robust Mendelian randomization inference.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity The GENIUS approach t o robust Mendelian randomization inference
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:26.900071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 48e78c5f-6366-4eca-8645-233298ca7b02 · outbound
This paper cites Meta-regression of genome-wide association studies to estimate a ge-varying genetic effects.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Meta-regression of genome-wide association studies to estimate a ge-varying genetic effects
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T17:24:26.751490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ee909492-f897-4747-98ce-e7d49b102fb4 · outbound
This paper cites Commentary: Interpretation and sensitivity analysis for the localized average causal effect curve.
Context-stratified Mendelian randomization: exploiting regional exposure variation to explore causal effect heterogeneity and non-linearity Commentary: Interpretation and sensitivity analysis for the localized average causal effect curve
Reference 39
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-06T17:24:24.426529Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.