Paper Citation Record · LEDGER

Testing (Conditional) Mutual Information

As of 7 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2506.03894.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.03894 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:10.989729Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

49 of 49 outbound references displayed

verified exact0
verified fuzzy38
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a377c58b-d7c2-4928-970b-9ff3097eba3d · outbound

This paper cites Optimal testing for properties of distributions.

Testing (Conditional) Mutual Information Optimal testing for properties of distributions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:06.810062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4820fac2-cd00-4bb0-b370-c893c7b62460 · outbound

This paper cites Sublinear algorithms for outlier detection and generalized closeness testing.

Testing (Conditional) Mutual Information Sublinear algorithms for outlier detection and generalized closeness testing

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.457924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fb4e9f8a-6936-4d4f-8445-1885e286869b · outbound

This paper cites an unresolved cited work.

Testing (Conditional) Mutual Information Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:12:16.443727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 888611e9-c059-4c93-bc61-ee3bcce39d69 · outbound

This paper cites Testing closeness of discrete distributions.

Testing (Conditional) Mutual Information Testing closeness of discrete distributions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.430949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8a9c59dc-2e5e-4da1-b877-e1d4b63a6eee · outbound

This paper cites Near-optimal learning of tree-structured distributions by chow and liu.

Testing (Conditional) Mutual Information Near-optimal learning of tree-structured distributions by chow and liu

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.418031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d1d36c61-0537-4e53-9ba7-328acb881996 · outbound

This paper cites Testing closeness with unequal sized samples.

Testing (Conditional) Mutual Information Testing closeness with unequal sized samples

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.404513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2fa6aa29-6d74-4bf9-ae7b-914b037e7296 · outbound

This paper cites A survey on distribution testing: Your data is big.

Testing (Conditional) Mutual Information A survey on distribution testing: Your data is big

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.390686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 77f85fd5-b638-429e-9d81-0d65ad640548 · outbound

This paper cites Topics and techniques in distribution testing: A biased but representative sample.

Testing (Conditional) Mutual Information Topics and techniques in distribution testing: A biased but representative sample

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.376696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5a827fa1-9eea-4923-bf81-a808e84f0dff · outbound

This paper cites Testing conditional independence of discrete distributions.

Testing (Conditional) Mutual Information Testing conditional independence of discrete distributions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.363222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ecfa15da-7940-45c6-9075-ec5629bf386d · outbound

This paper cites Testing bayesian networks.

Testing (Conditional) Mutual Information Testing bayesian networks

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.350307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 951d7484-abf4-4f74-8378-b0a958cd8b29 · outbound

This paper cites Optimal algorithms for testing closeness of discrete distributions.

Testing (Conditional) Mutual Information Optimal algorithms for testing closeness of discrete distributions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.336138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3b895116-0292-4310-a0ab-4e9f7da74c70 · outbound

This paper cites Canonne, Ayush Jain, Gautam Kamath, and Jerry Li.

Testing (Conditional) Mutual Information Canonne, Ayush Jain, Gautam Kamath, and Jerry Li

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:16.235108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f248e2bc-3b99-4794-ae0c-068c1a8f10ff · outbound

This paper cites Approximating discrete probability distributions with dependence trees.

Testing (Conditional) Mutual Information Approximating discrete probability distributions with dependence trees

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:15.992542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6078dbbd-fc71-493d-9b94-a1f040b81f2a · outbound

This paper cites Cover and Joy A.

Testing (Conditional) Mutual Information Cover and Joy A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:15.754890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ac66cbad-2078-47d6-9897-8a49353559a3 · outbound

This paper cites an unresolved cited work.

Testing (Conditional) Mutual Information Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:12:15.566618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bb47e6f4-b826-4d0b-bdc5-e921f6ca83f2 · outbound

This paper cites Optimal testing of discrete distributions with high probability.

Testing (Conditional) Mutual Information Optimal testing of discrete distributions with high probability

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:15.431134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b4135b05-f9bd-40da-b10d-9780cc09ee1e · outbound

This paper cites Collision-based testers are optimal for uniformity and closeness.

Testing (Conditional) Mutual Information Collision-based testers are optimal for uniformity and closeness

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:15.240187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e383ce2e-977b-4580-89a4-a5697f984e2f · outbound

This paper cites A new approach for testing properties of discrete distributions.

Testing (Conditional) Mutual Information A new approach for testing properties of discrete distributions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:08.339826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 508c3c5c-4cce-4fb3-a597-2e47464a7e76 · outbound

This paper cites Which distribution distances are sublinearly testable? In Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , SODA '18, page 2747–2764, USA, 2018.

Testing (Conditional) Mutual Information Which distribution distances are sublinearly testable? In Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , SODA '18, page 2747–2764, USA, 2018

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:15.066015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2bb03a60-dce2-4dd8-96a3-f720b05de2fa · outbound

This paper cites Bayesian test of significance for conditional independence: the multinomial model.

Testing (Conditional) Mutual Information Bayesian test of significance for conditional independence: the multinomial model

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:14.882279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fcc7c812-ec10-454a-8d2b-6319effa31cb · outbound

This paper cites Dubhashi and A.

Testing (Conditional) Mutual Information Dubhashi and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:14.720157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 96d8401e-7723-4627-af5a-de5d0e7f6c53 · outbound

This paper cites Square hellinger subadditivity for bayesian networks and its applications to identity testing.

Testing (Conditional) Mutual Information Square hellinger subadditivity for bayesian networks and its applications to identity testing

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:14.546385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca65c060-cc2a-4df5-ada1-fcd825a77488 · outbound

This paper cites Sample-optimal and efficient learning of tree ising models.

Testing (Conditional) Mutual Information Sample-optimal and efficient learning of tree ising models

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:14.323983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1217687b-8fe6-4ec8-a682-323033bf8eb6 · outbound

This paper cites Quantum chi-squared tomography and mutual information testing.

Testing (Conditional) Mutual Information Quantum chi-squared tomography and mutual information testing

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:14.089562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87942f67-cd06-4a6b-9949-0030c061cb40 · outbound

This paper cites Introduction to property testing.

Testing (Conditional) Mutual Information Introduction to property testing

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:09.049543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c40a2652-f34c-4c6c-984e-24f4014db7ec · outbound

This paper cites Testing for causality: A personal viewpoint.

Testing (Conditional) Mutual Information Testing for causality: A personal viewpoint

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:13.902425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ac761d9-062f-45d6-af12-39de48bf34c6 · outbound

This paper cites Gibbs and Francis Edward Su.

Testing (Conditional) Mutual Information Gibbs and Francis Edward Su

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:13.734002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1941721c-e448-42ba-9659-9befac6cb941 · outbound

This paper cites Local permutation tests for conditional independence.

Testing (Conditional) Mutual Information Local permutation tests for conditional independence

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:13.616013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ce771364-f55f-414c-81bf-fdae4ff3b135 · outbound

This paper cites Conditional independence testing for discrete distributions: Beyond x 2-and g-tests.

Testing (Conditional) Mutual Information Conditional independence testing for discrete distributions: Beyond x 2-and g-tests

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:13.481178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2d33334e-d52a-4d8e-84d9-3b7c45590f89 · outbound

This paper cites Testing properties of collections of distributions.

Testing (Conditional) Mutual Information Testing properties of collections of distributions

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:13.285102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 52582649-bdeb-441d-b83f-999e7580adfc · outbound

This paper cites Randomized Algorithms.

Testing (Conditional) Mutual Information Randomized Algorithms

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:09.495298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5d7e452-bb1b-4bb8-b514-4a4c19069719 · outbound

This paper cites Testing conditional independence on discrete data using stochastic complexity.

Testing (Conditional) Mutual Information Testing conditional independence on discrete data using stochastic complexity

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:13.159371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7a70129c-c84e-4d1c-86de-abb4b4ea5d99 · outbound

This paper cites Learning bayesian networks , volume 38.

Testing (Conditional) Mutual Information Learning bayesian networks , volume 38

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:13.053395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 893842e5-82db-4ec0-bea9-425050cc19eb · outbound

This paper cites Minimax optimal conditional independence testing.

Testing (Conditional) Mutual Information Minimax optimal conditional independence testing

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:12.815240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ab33c895-b007-499b-b1ee-fcbe49b393d4 · outbound

This paper cites Probabilistic reasoning in intelligent systems: networks of plausible inference.

Testing (Conditional) Mutual Information Probabilistic reasoning in intelligent systems: networks of plausible inference

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:12.592309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0611d16-56f5-4a82-b03f-89e261788afd · outbound

This paper cites Taming big probability distributions.

Testing (Conditional) Mutual Information Taming big probability distributions

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:12.461819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b440063a-eacb-4dd2-b8cb-2e43c25a7cec · outbound

This paper cites Causation, prediction, and search.

Testing (Conditional) Mutual Information Causation, prediction, and search

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:09.970668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 196a9ae1-32ac-46e9-ab68-f714e4e0acef · outbound

This paper cites an unresolved cited work.

Testing (Conditional) Mutual Information Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:12:12.333580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 29fcc581-34bd-4d7f-99f2-d1f84d62207a · outbound

This paper cites Operational interpretation of rényi information measures via composite hypothesis testing against product and markov distributions.

Testing (Conditional) Mutual Information Operational interpretation of rényi information measures via composite hypothesis testing against product and markov distributions

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:12.217313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99b0f286-804a-4cda-9247-d5791b065018 · outbound

This paper cites Some bounds for the logarithmic function.

Testing (Conditional) Mutual Information Some bounds for the logarithmic function

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:12.059318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 97a74601-2399-477b-b22a-8870eabbcc49 · outbound

This paper cites Testing symmetric properties of distributions.

Testing (Conditional) Mutual Information Testing symmetric properties of distributions

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:11.905029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 61fb5744-d30f-4c71-9256-e551fe1c2f82 · outbound

This paper cites Estimating the unseen: an n/log (n)-sample estimator for entropy and support size, shown optimal via new clts.

Testing (Conditional) Mutual Information Estimating the unseen: an n/log (n)-sample estimator for entropy and support size, shown optimal via new clts

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:11.777592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation baf93cc3-2a3f-4317-9364-0fc68c0e4047 · outbound

This paper cites The power of linear estimators.

Testing (Conditional) Mutual Information The power of linear estimators

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:11.644542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99e37c39-eed0-4e9a-9d03-bc9491e81123 · outbound

This paper cites Optimal estimation of gaussian (poly)trees.

Testing (Conditional) Mutual Information Optimal estimation of gaussian (poly)trees

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:11.512126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3d39d64f-f152-46a8-b498-7ccc1f43c441 · outbound

This paper cites Characteristic function based testing for conditional independence: A nonparametric regression approach.

Testing (Conditional) Mutual Information Characteristic function based testing for conditional independence: A nonparametric regression approach

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:11.403403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 81f77692-af66-4dd8-9929-cb7bf66cf581 · outbound

This paper cites Minimax rates of entropy estimation on large alphabets via best polynomial approximation.

Testing (Conditional) Mutual Information Minimax rates of entropy estimation on large alphabets via best polynomial approximation

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:10.736679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64f3b9a0-49d1-4c95-b1b4-4b2bac47a9ef · outbound

This paper cites Chebyshev polynomials, moment matching, and optimal estimation of the unseen.

Testing (Conditional) Mutual Information Chebyshev polynomials, moment matching, and optimal estimation of the unseen

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:10.817460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation faf1ce92-1dd2-4370-a4ba-bce7978160b7 · outbound

This paper cites an unresolved cited work.

Testing (Conditional) Mutual Information Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:12:11.287574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d3306eb9-fd57-4f36-99c3-75953ff78076 · outbound

This paper cites Kernel-based conditional independence test and application in causal discovery.

Testing (Conditional) Mutual Information Kernel-based conditional independence test and application in causal discovery

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:11.166739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.