Paper Citation Record · LEDGER

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance

As of 12 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.14880.

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

pith.paper-citation-record.v1
2607.14880 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:53:24.872098Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation 23d618c2-db63-40b6-b3fd-c2e274291c38 · outbound

This paper cites Census Dual Graphs: Properties and Random Graph Models.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Census Dual Graphs: Properties and Random Graph Models

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:21.384733Z

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Observation f7f8a9d5-b6e0-4dfd-a15f-73e9546fd5a0 · outbound

This paper cites Springer Science & Business Media, 1988.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Springer Science & Business Media, 1988

Reference 2

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Observation dfdd6a9a-fca4-4a4c-bc47-2d4c5114f576 · outbound

This paper cites Local indicators of spatial association—lisa.Geographical analysis, 27(2):93–115, 1995.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Local indicators of spatial association—lisa.Geographical analysis, 27(2):93–115, 1995

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:21.616728Z

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Observation 82c5a353-d9cd-4fac-949c-aa892dbcc65e · outbound

This paper cites A geometric interpretation of the metropolis-hastings algorithm.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance A geometric interpretation of the metropolis-hastings algorithm

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:21.712890Z

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Observation d169d1c9-30a0-4b86-88c3-38d8d6018d25 · outbound

This paper cites Tres observaciones sobre el álgebra lineal.Universidad Nacional de Tucumán Revista, Serie A, 5:147–151, 1946.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Tres observaciones sobre el álgebra lineal.Universidad Nacional de Tucumán Revista, Serie A, 5:147–151, 1946

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:21.808733Z

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Observation 8c056a1e-96e4-44d8-9833-6df511956b38 · outbound

This paper cites 500 Cities: City Boundaries.https://chronicdata.cdc.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance 500 Cities: City Boundaries.https://chronicdata.cdc

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:21.925660Z

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Observation 6c01f340-77c2-46c4-b98f-6ca37977958c · outbound

This paper cites Spatial statistics: A theory and methods review.International Encyclopedia of Geography: People, the Earth, Environment and Technology, pages 1–14, 2016.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Spatial statistics: A theory and methods review.International Encyclopedia of Geography: People, the Earth, Environment and Technology, pages 1–14, 2016

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:22.025373Z

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Observation fb5e6cac-d7d1-4e75-859b-b577e6b15839 · outbound

This paper cites Pion London, 1973.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Pion London, 1973

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:22.078193Z

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Observation 5fa934fe-5b96-4292-aa4a-760ba969f96c · outbound

This paper cites Pion Ltd, 1981.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Pion Ltd, 1981

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:22.152843Z

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Observation aa9e2eb7-bc60-4398-b30c-d00c05e4bbe7 · outbound

This paper cites Coifman and Stéphane Lafon.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Coifman and Stéphane Lafon

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:22.217359Z

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Observation 373bcdae-fa27-4a4b-85fd-68ec19cfe407 · outbound

This paper cites Murphy, and Thomas Weighill.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Murphy, and Thomas Weighill

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:22.342186Z

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Observation ee2b0e09-ab5b-40ca-aba6-d5ddc14b0492 · outbound

This paper cites an unresolved cited work.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:22.472498Z

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Observation 65b18a5c-e35a-4c56-b81d-f5b1e778f7d5 · outbound

This paper cites an unresolved cited work.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:22.635491Z

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Observation 6216dcb2-fbb0-4923-ab98-880551a83642 · outbound

This paper cites The contiguity ratio and statistical mapping.The Incorporated Statistician, 5(3):115–146, 1954.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance The contiguity ratio and statistical mapping.The Incorporated Statistician, 5(3):115–146, 1954

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:22.752617Z

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Observation 386776dc-2a6b-40d6-890d-fd61e447c2d3 · outbound

This paper cites Spatial modeling with spatially varying coefficient processes.Journal of the American Statistical Association, 98(462):387–396, 2003.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Spatial modeling with spatially varying coefficient processes.Journal of the American Statistical Association, 98(462):387–396, 2003

Reference 15

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Observation 22ae48cb-ce5d-4d9e-8c41-aecd1ff630c7 · outbound

This paper cites A critique of spatial autocorrelation.Geographical Analysis, 40(3):290–300, 2008.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance A critique of spatial autocorrelation.Geographical Analysis, 40(3):290–300, 2008

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.070202Z

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Observation 8ca95a88-f406-49a4-81e1-152f8fe7f02f · outbound

This paper cites Griffith.Spatial Autocorrelation and Spatial Filtering: Gaining Understanding Through Theory and Scientific Visualization.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Griffith.Spatial Autocorrelation and Spatial Filtering: Gaining Understanding Through Theory and Scientific Visualization

Reference 17

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Observation 5e9899f8-2f5f-499b-bf75-3235dd3c9268 · outbound

This paper cites Hammond, Yaniv Gur, and Chris R.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Hammond, Yaniv Gur, and Chris R

Reference 18

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Observation 57159580-8559-4d2e-aae9-4f36ea148842 · outbound

This paper cites Spatio-temporal alignments: Optimal transport through space and time.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Spatio-temporal alignments: Optimal transport through space and time

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.285402Z

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Observation cad284ef-3431-4f81-9265-5e70006e394d · outbound

This paper cites Kantorovich.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Kantorovich

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.400671Z

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Observation 864f24e3-6bb6-4807-804c-44704b3a5312 · outbound

This paper cites Topological analysis of us city demographics.La Matematica, 3(4):1400–1425, 2024.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Topological analysis of us city demographics.La Matematica, 3(4):1400–1425, 2024

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.502290Z

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Observation 747e5df6-166b-4789-bbf0-420b04d23cb0 · outbound

This paper cites Segregation: A Python package for measuring residential segregation.Journal of Open Source Software, 5(47):1951, 2020.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Segregation: A Python package for measuring residential segregation.Journal of Open Source Software, 5(47):1951, 2020

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.691197Z

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Observation 7b5ae452-3b9f-4f56-9b97-e14b1bf5a144 · outbound

This paper cites The long-run implications of slum clearance: A neighborhood analysis.Journal of Public Economics, 236:105153, 2024.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance The long-run implications of slum clearance: A neighborhood analysis.Journal of Public Economics, 236:105153, 2024

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.836650Z

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Observation 65a98243-f2ae-481f-bc21-06997d8f8a05 · outbound

This paper cites Spatial autocorrelation: trouble or new paradigm?Ecology, 74(6):1659–1673, 1993.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Spatial autocorrelation: trouble or new paradigm?Ecology, 74(6):1659–1673, 1993

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.896636Z

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Observation 538a9670-905d-4e23-94db-d5e21b4ece80 · outbound

This paper cites LeSage.Spatial econometrics.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance LeSage.Spatial econometrics

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.937559Z

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Observation df08d689-765b-439a-bc6d-e07735aa0e22 · outbound

This paper cites Ipums national historical geographic information system: Version 16.0, 2021.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Ipums national historical geographic information system: Version 16.0, 2021

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:23.976600Z

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Observation e8b9572b-a5e3-4ce7-adc8-5f0bb1f69ff3 · outbound

This paper cites Massey and Nancy A.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Massey and Nancy A

Reference 27

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Observation ff42811f-db5a-47c2-9e01-bd984e642c31 · outbound

This paper cites Meyer.Matrix Analysis and Applied Linear Algebra.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Meyer.Matrix Analysis and Applied Linear Algebra

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:24.078426Z

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Observation 554eabe4-c665-4821-b1df-e7869c35ff71 · outbound

This paper cites Mood, Franklin A.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Mood, Franklin A

Reference 29

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Observation c25a3cde-f9da-45f9-97d2-deb0d885a767 · outbound

This paper cites Journal of the Royal Statistical Society.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Journal of the Royal Statistical Society

Reference 30

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Observation 9eda245d-3874-4029-8bf1-f56c02a98eb0 · outbound

This paper cites Notes on continuous stochastic phenomena.Biometrika, 37(1/2):17–23, 1950.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Notes on continuous stochastic phenomena.Biometrika, 37(1/2):17–23, 1950

Reference 31

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Observation d1f0bbc3-577a-4548-948e-2539097f84fc · outbound

This paper cites an unresolved cited work.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:24.363864Z

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Observation 59424d81-c892-4015-9e7f-96e876c1f756 · outbound

This paper cites Gromov-wasserstein averaging of kernel and distance matrices.International Conference on Machine Learning, pages 2664–2672, 2016.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Gromov-wasserstein averaging of kernel and distance matrices.International Conference on Machine Learning, pages 2664–2672, 2016

Reference 33

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Observation f864742a-a3e2-4201-ab40-68331b5c6180 · outbound

This paper cites Oxford University Press, 2008.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Oxford University Press, 2008

Reference 34

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Observation dc02f323-d4c5-4f99-b8c9-20fda089d62b · outbound

This paper cites Reardon and Glenn Firebaugh.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Reardon and Glenn Firebaugh

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:24.484524Z

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Observation 254699ec-e56f-4bce-8795-55134d079d50 · outbound

This paper cites Quantifying ethnic segregation in cities through random walks.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Quantifying ethnic segregation in cities through random walks

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:24.542087Z

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Observation 7ab25b3b-9687-4480-ac7b-b9a40caf4b29 · outbound

This paper cites an unresolved cited work.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Unresolved cited work

Reference 37

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Observation c94524cd-e9d5-4544-b819-dd6c0ded429b · outbound

This paper cites an unresolved cited work.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Unresolved cited work

Reference 38

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Observation 18a20da2-f54c-4d61-bbfa-d761d42161a1 · outbound

This paper cites Random walk-based segregation measures.Review of Economics and Statistics, 96(3):383–398, 2014.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Random walk-based segregation measures.Review of Economics and Statistics, 96(3):383–398, 2014

Reference 39

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Observation 2d7aff93-46a6-47b8-b01a-a6d172518cbc · outbound

This paper cites an unresolved cited work.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Unresolved cited work

Reference 40

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Observation 9bf5b78e-4ea5-48d6-8f61-4cac578b86ce · outbound

This paper cites Optimal transport for structured data with application on graphs.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Optimal transport for structured data with application on graphs

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:24.749461Z

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Observation bb009133-4a8b-4a34-87bc-e3e412451ac7 · outbound

This paper cites Springer Science & Business Media, 2008.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Springer Science & Business Media, 2008

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:24.794595Z

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Observation b44bdabe-f4e5-429c-b823-4d85880f7d2d · outbound

This paper cites an unresolved cited work.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:24.830966Z

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Observation 20696184-3a1a-4311-91c4-15d5348e16f0 · outbound

This paper cites A decomposition of moran’s i for clustering detection.Computa- tional Statistics & Data Analysis, 51(12):6123–6137, 2007.

Measuring Spatial Clustering via Metropolis-Hastings Diffusion Distance A decomposition of moran’s i for clustering detection.Computa- tional Statistics & Data Analysis, 51(12):6123–6137, 2007

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-02T00:53:24.872098Z

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