Paper Citation Record · LEDGER

A categorical account of the Metropolis-Hastings algorithm

As of 15 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2601.22911.

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

pith.paper-citation-record.v1
2601.22911 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T06:26:36.109693Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

39 of 39 outbound references displayed

verified exact0
verified fuzzy0
unresolved38
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19679e7c-7357-42e8-b57b-efc8af56ca6c · outbound

This paper cites Freer, Younesse Kaddar, Jacek Karwowski, Sean Moss, Daniel Roy, Sam Staton, and Hongseok Yang.

A categorical account of the Metropolis-Hastings algorithm Freer, Younesse Kaddar, Jacek Karwowski, Sean Moss, Daniel Roy, Sam Staton, and Hongseok Yang

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.288301Z

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Unavailable: canonical work link unavailable.

Observation ba2eae3a-d181-46a3-8fbd-c5a06cbcc2b4 · outbound

This paper cites A general perspective on the Metropolis-Hastings kernel.

A categorical account of the Metropolis-Hastings algorithm A general perspective on the Metropolis-Hastings kernel

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.378306Z

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Observation 067d101a-7d86-444a-9b72-6693ebcc581a · outbound

This paper cites Peskun-Tierney ordering for Markovian Monte Carlo: Beyond the reversible scenario.Ann.

A categorical account of the Metropolis-Hastings algorithm Peskun-Tierney ordering for Markovian Monte Carlo: Beyond the reversible scenario.Ann

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.466390Z

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Observation 3ed3a9fe-96fd-4580-b4a9-699235397a95 · outbound

This paper cites GIST: Gibbs self-tuning for locally adaptive Hamiltonian Monte Carlo.

A categorical account of the Metropolis-Hastings algorithm GIST: Gibbs self-tuning for locally adaptive Hamiltonian Monte Carlo

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.549635Z

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Observation de1f9246-d87d-4658-ad9a-38d454fcf409 · outbound

This paper cites Lifting Markov chains to speed up mixing.

A categorical account of the Metropolis-Hastings algorithm Lifting Markov chains to speed up mixing

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.633531Z

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Observation 8dac7cb6-c6f8-486f-924a-0c050d02dd1b · outbound

This paper cites Disintegration and Bayesian inversion via string diagrams.Mathematical Structures in Computer Science, 29(7):938–971, 2019.

A categorical account of the Metropolis-Hastings algorithm Disintegration and Bayesian inversion via string diagrams.Mathematical Structures in Computer Science, 29(7):938–971, 2019

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.704806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 500298c2-83df-463b-bfeb-fe03270bb9b2 · outbound

This paper cites An intro- duction to effectus theory, 2015.

A categorical account of the Metropolis-Hastings algorithm An intro- duction to effectus theory, 2015

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.762358Z

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Unavailable: canonical work link unavailable.

Observation 55d560b8-6d0a-45b2-a734-e3658c8bd701 · outbound

This paper cites Lew, and Vikash K.

A categorical account of the Metropolis-Hastings algorithm Lew, and Vikash K

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.843568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2934366c-051f-4571-8c82-966f62ecc62d · outbound

This paper cites an unresolved cited work.

A categorical account of the Metropolis-Hastings algorithm Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:32.934600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 720d4486-cef3-46e1-a05d-5770645a920b · outbound

This paper cites A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics.Advances in Mathematics, 370:107239, 2020.

A categorical account of the Metropolis-Hastings algorithm A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics.Advances in Mathematics, 370:107239, 2020

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.018415Z

Source-reported events for the cited work

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Observation fd032c1f-f68f-4e94-bc32-e3149e0f2e9b · outbound

This paper cites Weakly Markov categories and weakly affine monads.

A categorical account of the Metropolis-Hastings algorithm Weakly Markov categories and weakly affine monads

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.082440Z

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Observation 367098d7-466c-4217-8c77-3beb4953433c · outbound

This paper cites Absolute continuity, supports and idempotent splitting in categorical probability.

A categorical account of the Metropolis-Hastings algorithm Absolute continuity, supports and idempotent splitting in categorical probability

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.163430Z

Source-reported events for the cited work

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Observation 0351740e-53a3-46de-9b34-4007fa1ce806 · outbound

This paper cites De Finetti’s Theorem in Categor- ical Probability.Journal of Stochastic Analysis, 2(4), 2021.

A categorical account of the Metropolis-Hastings algorithm De Finetti’s Theorem in Categor- ical Probability.Journal of Stochastic Analysis, 2(4), 2021

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.189543Z

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Observation c96bbff4-35aa-4cde-b832-4a5901c88c69 · outbound

This paper cites When coproducts are biproducts.Mathe- matical Proceedings of the Cambridge Philosophical Society, 161(1):47–51, 2016.

A categorical account of the Metropolis-Hastings algorithm When coproducts are biproducts.Mathe- matical Proceedings of the Cambridge Philosophical Society, 161(1):47–51, 2016

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.292726Z

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Observation 732e58d6-e43e-4798-8ea9-766f5391a86e · outbound

This paper cites Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images.IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-6(6):721–741, 1984.

A categorical account of the Metropolis-Hastings algorithm Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images.IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-6(6):721–741, 1984

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.408635Z

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Observation a3bfeab2-c7ef-4fb9-a5b3-7db235065617 · outbound

This paper cites On the accept-reject mechanism for Metropolis–Hastings algorithms.Annals of Applied Probability, 33(6B):5279–5333, 2023.

A categorical account of the Metropolis-Hastings algorithm On the accept-reject mechanism for Metropolis–Hastings algorithms.Annals of Applied Probability, 33(6B):5279–5333, 2023

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.524532Z

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Observation 996809ca-5fc8-4a86-b181-9fb99fd9b2a7 · outbound

This paper cites Parallel MCMC algorithms: theoretical foundations, algorithm design, case studies.Transactions of Mathematics and Its Applications, 8(2), 2024.

A categorical account of the Metropolis-Hastings algorithm Parallel MCMC algorithms: theoretical foundations, algorithm design, case studies.Transactions of Mathematics and Its Applications, 8(2), 2024

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.662016Z

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Observation 81186cfe-aa49-4d74-80b4-ce5664f7cca5 · outbound

This paper cites Reversible Jump Markov Chain Monte Carlo Computation and Bayesian Model Determination.Biometrika, 82(4):711–732, 1995.

A categorical account of the Metropolis-Hastings algorithm Reversible Jump Markov Chain Monte Carlo Computation and Bayesian Model Determination.Biometrika, 82(4):711–732, 1995

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.797537Z

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Observation ff03dd27-4e00-4d7d-b877-7103eed5f04c · outbound

This paper cites Springer, 1974.

A categorical account of the Metropolis-Hastings algorithm Springer, 1974

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:33.902032Z

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Observation 7a4ab198-1968-46c7-aa84-75bf02a8c4a4 · outbound

This paper cites an unresolved cited work.

A categorical account of the Metropolis-Hastings algorithm Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:34.006389Z

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Unavailable: canonical work link unavailable.

Observation 35574778-1c04-4524-81d8-462d7fb76864 · outbound

This paper cites The geometry of tensor calculus, I.Advances in Mathematics, 88(1):55–112, 1991.

A categorical account of the Metropolis-Hastings algorithm The geometry of tensor calculus, I.Advances in Mathematics, 88(1):55–112, 1991

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:34.135432Z

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Observation f8871d15-6948-45d4-8795-a3067ebcafbc · outbound

This paper cites Springer, 3 edition, 2021.

A categorical account of the Metropolis-Hastings algorithm Springer, 3 edition, 2021

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:34.231443Z

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Observation bd23318b-6de7-4587-bb40-d0b254631085 · outbound

This paper cites CUP Archive, 1982.

A categorical account of the Metropolis-Hastings algorithm CUP Archive, 1982

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:34.351712Z

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Observation a79b7c39-1c04-42e6-ba47-dc890d98296a · outbound

This paper cites AutoStep: Locally adaptive involutive MCMC.

A categorical account of the Metropolis-Hastings algorithm AutoStep: Locally adaptive involutive MCMC

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:34.471506Z

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Observation 5bda2a89-4d73-42ed-bc3e-3d8cd7cfbcb7 · outbound

This paper cites Springer Science & Business Media, 1998.

A categorical account of the Metropolis-Hastings algorithm Springer Science & Business Media, 1998

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:34.600957Z

Source-reported events for the cited work

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Observation d13d9504-fcb7-41ae-8fb5-7dabc0b86a56 · outbound

This paper cites Rosenbluth, Marshall N.

A categorical account of the Metropolis-Hastings algorithm Rosenbluth, Marshall N

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:34.750066Z

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Observation 75ffd945-2bd1-4ebf-9ddd-ffe852095b0d · outbound

This paper cites A category-theoretic proof of the ergodic de- composition theorem.Ergodic Theory and Dynamical Systems, 43(12):4166–4192, 2023.

A categorical account of the Metropolis-Hastings algorithm A category-theoretic proof of the ergodic de- composition theorem.Ergodic Theory and Dynamical Systems, 43(12):4166–4192, 2023

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:34.888678Z

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Observation fd6279c5-553a-4898-b0ac-91e1dbb0e16c · outbound

This paper cites MCMC for doubly- intractable distributions.

A categorical account of the Metropolis-Hastings algorithm MCMC for doubly- intractable distributions

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.009763Z

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Observation c510b4f9-0264-455d-b2c4-c97a9b33a24c · outbound

This paper cites Involutive MCMC: a Unifying Framework.

A categorical account of the Metropolis-Hastings algorithm Involutive MCMC: a Unifying Framework

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.144651Z

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Observation ff8d63a3-5665-42f3-8932-2e842cb60de9 · outbound

This paper cites WORLD SCIENTIFIC, October 2023.

A categorical account of the Metropolis-Hastings algorithm WORLD SCIENTIFIC, October 2023

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.261794Z

Source-reported events for the cited work

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Observation bef1f0f6-6990-41d5-b863-2ecd89afcf90 · outbound

This paper cites Infinite products and zero-one laws in categorical probability.Compositionality, Volume 2 (2020)(3), 2020.

A categorical account of the Metropolis-Hastings algorithm Infinite products and zero-one laws in categorical probability.Compositionality, Volume 2 (2020)(3), 2020

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.393327Z

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Observation 5df21e47-2c03-4a2c-889a-f2384d9eecee · outbound

This paper cites Robert and George Casella.Monte Carlo Statistical Methods.

A categorical account of the Metropolis-Hastings algorithm Robert and George Casella.Monte Carlo Statistical Methods

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.457232Z

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Observation f0d9fc63-e280-48ff-a9c2-2a5c6a55779e · outbound

This paper cites Eigenvalue analysis of an irreversible random walk with skew detailed balance conditions.Physical Review E, 93(4):3–8, 2016.

A categorical account of the Metropolis-Hastings algorithm Eigenvalue analysis of an irreversible random walk with skew detailed balance conditions.Physical Review E, 93(4):3–8, 2016

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.579154Z

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Observation c0346022-2cf5-4d43-a685-7cc16bd668ed · outbound

This paper cites A survey of graphical languages for monoidal categories.

A categorical account of the Metropolis-Hastings algorithm A survey of graphical languages for monoidal categories

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.739523Z

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Observation 4b70144f-eb39-4d0c-adb5-ccc1532e4092 · outbound

This paper cites Commutative semantics for probabilistic programming.

A categorical account of the Metropolis-Hastings algorithm Commutative semantics for probabilistic programming

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.857686Z

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Observation f607e9d3-d7f6-4327-9021-1009be7e9473 · outbound

This paper cites Nonreversible mcmc from conditional invertible transforms: a complete recipe with convergence guarantees, 2021.

A categorical account of the Metropolis-Hastings algorithm Nonreversible mcmc from conditional invertible transforms: a complete recipe with convergence guarantees, 2021

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:35.955648Z

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Observation bf2e140f-8e9f-4ccb-b99c-ad8b56e5a367 · outbound

This paper cites A note on Metropolis-Hastings kernels for general state spaces.

A categorical account of the Metropolis-Hastings algorithm A note on Metropolis-Hastings kernels for general state spaces

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:36.067774Z

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Observation 03771d12-0ebc-4135-b10f-fd761422cce2 · outbound

This paper cites Turitsyn, Michael Chertkov, and Marija Vucelja.

A categorical account of the Metropolis-Hastings algorithm Turitsyn, Michael Chertkov, and Marija Vucelja

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T06:26:36.106815Z

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Observation 0767e445-e04f-4870-9d5b-e25921e25eef · outbound

This paper cites infinitesimal.

A categorical account of the Metropolis-Hastings algorithm infinitesimal

Reference 39

Resolution: malformed identifier; no resolver link, observed 2026-08-03T06:26:36.109693Z

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Pith citing papers

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