Paper Citation Record · LEDGER

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2509.08629.

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

pith.paper-citation-record.v1
2509.08629 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:29:04.933393Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

34 of 34 outbound references displayed

verified exact0
verified fuzzy0
unresolved34
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5130945d-1f58-437a-b13d-ae327768b1bc · outbound

This paper cites Common Cause, No.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Common Cause, No

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.789644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8902ddba-af76-4d61-8bff-64fc8228874f · outbound

This paper cites Domain sparsifica- tion of discrete distributions using entropic independence.LIPIcs, Volume 215, ITCS 2022, 215:5:1–5:23, 2022.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Domain sparsifica- tion of discrete distributions using entropic independence.LIPIcs, Volume 215, ITCS 2022, 215:5:1–5:23, 2022

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.794035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c09b22c0-81bc-4c86-93cf-9de7468e224a · outbound

This paper cites Log-concave polynomials iv: approximate exchange, tight mixing times, and near-optimal sampling of forests.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Log-concave polynomials iv: approximate exchange, tight mixing times, and near-optimal sampling of forests

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.798683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee7c3991-4f63-45a7-b96a-c01a5e0fe47b · outbound

This paper cites Metropolized forest recombination for monte carlo sampling of graph partitions.SIAM Jour- nal on Applied Mathematics, 83(4):1366–1391, 2023.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Metropolized forest recombination for monte carlo sampling of graph partitions.SIAM Jour- nal on Applied Mathematics, 83(4):1366–1391, 2023

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.803178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ac54855-a426-4a6f-b41e-8aedb5c31918 · outbound

This paper cites Autry, Daniel Carter, Gregory Herschlag, Zach Hunter, and Jonathan C.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Autry, Daniel Carter, Gregory Herschlag, Zach Hunter, and Jonathan C

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.807399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5f1b8d0-505e-42e6-a00a-4d0504dd6f01 · outbound

This paper cites Metropolized multiscale forest recombination for redistricting.Multiscale Modeling & Simu- lation, 19(4):1885–1914, 2021.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Metropolized multiscale forest recombination for redistricting.Multiscale Modeling & Simu- lation, 19(4):1885–1914, 2021

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.812238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7bf6beca-ce58-4230-b2d8-d1e972f191d9 · outbound

This paper cites Models of random spanning trees, 2024.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Models of random spanning trees, 2024

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.818053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56c5544b-bc24-41b3-98c3-b22b2b77f69d · outbound

This paper cites Redistricting: Drawing the Line.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Redistricting: Drawing the Line

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.822878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70f3c5be-f204-4485-b373-dd627ad4da40 · outbound

This paper cites Spanning tree methods for sampling graph partitions, 2022.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Spanning tree methods for sampling graph partitions, 2022

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.827602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0edbbac5-fead-445c-9374-6704f6c40c74 · outbound

This paper cites Sampling balanced forests of grids in polynomial time, 2024.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Sampling balanced forests of grids in polynomial time, 2024

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.831886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33643565-43d9-4c9c-b932-dc37923ef80b · outbound

This paper cites On the complexity of sam- pling redistricting plans, 2023.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting On the complexity of sam- pling redistricting plans, 2023

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.835993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e538fcc-f341-4d46-ad00-6fac684f656a · outbound

This paper cites Mattingly.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Mattingly

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.840408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83f58745-5a84-4281-a039-f6d48ae379bb · outbound

This paper cites Colorado in Context: Congressional Redistricting and Competing Fairness Criteria in Col- orado.Journal of Computational Social Science, 5:180–226, May 2021.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Colorado in Context: Congressional Redistricting and Competing Fairness Criteria in Col- orado.Journal of Computational Social Science, 5:180–226, May 2021

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.845098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40db5c91-5203-4ca9-8a6b-ce68457706dd · outbound

This paper cites Clelland, Nicholas Bossenbroek, Thomas Heckmaster, Adam Nelson, Peter Rock, and Jade VanAusdall.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Clelland, Nicholas Bossenbroek, Thomas Heckmaster, Adam Nelson, Peter Rock, and Jade VanAusdall

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.849192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a97e44c-5318-45a2-b068-e14f0ec1786d · outbound

This paper cites Cormen, Charles E.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Cormen, Charles E

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.852538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f1b8011-50c3-42c3-a0d2-8238af7ad898 · outbound

This paper cites Redistricting reform in virginia: Districting criteria in context.Virginia Policy Review, 12(2):120–146, 2019.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Redistricting reform in virginia: Districting criteria in context.Virginia Policy Review, 12(2):120–146, 2019

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.855806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bfcf74a-c886-4fbd-8e6c-2881b31b0965 · outbound

This paper cites Recombination: A family of markov chains for redistricting.Harvard Data Science Review, 3(1), 2021.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Recombination: A family of markov chains for redistricting.Harvard Data Science Review, 3(1), 2021

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.859138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fb6cd1d-2a65-4346-aa02-b437c04cfcad · outbound

This paper cites Outlier analysis for pennsylvania congressional redistricting.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Outlier analysis for pennsylvania congressional redistricting

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.863044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 598a3cb8-2bf8-4bd6-b12f-5652a1b01a25 · outbound

This paper cites Comparing Algorithms for Generating Ensembles to Detecting Ger- rymandering.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Comparing Algorithms for Generating Ensembles to Detecting Ger- rymandering

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.867299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75a62839-5dec-4c4a-ac68-d7558547d551 · outbound

This paper cites A new automated redis- tricting simulator using Markov chain Monte Carlo.Work.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting A new automated redis- tricting simulator using Markov chain Monte Carlo.Work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.871301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cadd23b4-661c-4f75-a6dd-a1b9bd923a34 · outbound

This paper cites Automated redistrict- ing simulation using markov chain monte carlo.Journal of Computational and Graphical Statistics, 29(4):715–728, 2020.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Automated redistrict- ing simulation using markov chain monte carlo.Journal of Computational and Graphical Statistics, 29(4):715–728, 2020

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.875454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1eb57ac3-d83c-4574-be38-578d3ebf18c3 · outbound

This paper cites Marzuola, Jonathan C.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Marzuola, Jonathan C

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.879723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef8c415e-70a2-4ff2-858c-fb86ffca78dc · outbound

This paper cites Quantifying gerrymandering in north carolina.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Quantifying gerrymandering in north carolina

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.884462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a669835-e17a-49e7-9b55-298a7bcfbcdf · outbound

This paper cites Mattingly, Matthias Sachs, and Evan Wyse.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Mattingly, Matthias Sachs, and Evan Wyse

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.893746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6128c7a-9318-43d1-9638-e8fbaa80fe4e · outbound

This paper cites Kruskal, Jr.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Kruskal, Jr

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.898329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed38f060-0e78-438b-aac1-ab27fe683714 · outbound

This paper cites an unresolved cited work.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.902983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d05c4e06-f7ed-46b4-ae9d-942c07d3e35d · outbound

This paper cites Mattingly.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Mattingly

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.906943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fae36d45-fc6a-44db-8731-dbee420e366f · outbound

This paper cites Mattingly.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Mattingly

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.910649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5c4f893-321f-4704-9edb-968ec528a4cd · outbound

This paper cites Complexity and geometry of sampling con- nected graph partitions, 2019.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Complexity and geometry of sampling con- nected graph partitions, 2019

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.914838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4142750-c1bd-4d71-a3e2-2696324d8dc0 · outbound

This paper cites Empirical sampling of connected graph parti- tions for redistricting.Physical Review E, 104(6):064130, 2021.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Empirical sampling of connected graph parti- tions for redistricting.Physical Review E, 104(6):064130, 2021

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.918317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c2f8fc4-5ffd-4482-98de-1c051608771d · outbound

This paper cites Linking and cutting spanning trees.Algorithms, 11(4):53, 2018.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Linking and cutting spanning trees.Algorithms, 11(4):53, 2018

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.921633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b446354c-4304-4fac-bc23-b99bbb09f1bc · outbound

This paper cites Swendsen and Jian-Sheng Wang.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Swendsen and Jian-Sheng Wang

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.926016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 594eb2a0-c7f7-45f1-b1a9-97323786ddfc · outbound

This paper cites Generating random spanning trees more quickly than the cover time.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Generating random spanning trees more quickly than the cover time

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.929978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a2a28d8-143b-444a-8279-eefc299ac888 · outbound

This paper cites Mathematically quantifying non-responsiveness of the 2021 georgia congressional districting plan.

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting Mathematically quantifying non-responsiveness of the 2021 georgia congressional districting plan

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T20:29:04.933393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.