Paper Citation Record · LEDGER

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion

As of 17 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2502.10068.

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

pith.paper-citation-record.v1
2502.10068 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:40:37.152805Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

25 of 25 outbound references displayed

verified exact1
verified fuzzy12
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c8fd1015-c72f-487e-bb3e-7a40e731e31e · outbound

This paper cites Anshelevich, O.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Anshelevich, O

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.700803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fa65ca8c-7f31-49c2-9d20-09090b6e40f3 · outbound

This paper cites Aronov, M.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Aronov, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.682240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cd69a3b1-d1e4-47f2-a009-af446c84b896 · outbound

This paper cites Aziz and B.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Aziz and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.664588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3bc4b12e-665d-4340-97ef-2c67c6c2565b · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T19:40:37.001044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f5b76cc-0b04-4cad-a76b-cefe40e60379 · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.634057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6deaf86d-00fd-47fd-b399-3a30492635f9 · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.613097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5f35f421-db5a-41dc-8a66-2bb3975d8906 · outbound

This paper cites Robust and Verifiable Proportionality Axioms for Multiwinner Voting.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Robust and Verifiable Proportionality Axioms for Multiwinner Voting

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T19:40:37.020498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23287c8e-d985-47f6-9631-e8cadcf3d10d · outbound

This paper cites Caragiannis, E.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Caragiannis, E

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.592531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 066e645d-44c3-4a50-be97-f0490babebb4 · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.569624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 671c2b3d-a247-4f79-80d0-44fe16a3c886 · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.544143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a4fa6ea9-b42d-4250-b245-ecd5ae5901d3 · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.516509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6abaef20-7549-439c-9da4-cb69b18a4705 · outbound

This paper cites Ebadian and E.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Ebadian and E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.486612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d1265768-5f5c-4671-a124-e5d3b95dcc0e · outbound

This paper cites Enelow and M.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Enelow and M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.463516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5b9ffc2d-64cf-4653-a053-39de9764a7b4 · outbound

This paper cites Filtser and O.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Filtser and O

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.442348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation df90ae0f-dbf2-4951-bf13-346d9e03a1f5 · outbound

This paper cites Gkatzelis, D.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Gkatzelis, D

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T19:40:37.073146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45f93639-d2d6-469d-8c45-6ff8f3c48ead · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.410590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4417e989-5978-4c40-8765-8623faace190 · outbound

This paper cites Kellerhals and J.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Kellerhals and J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.389430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 09df87ee-c4a9-44f8-b059-7fe93c7308f1 · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.369452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5a8a8fd7-557e-496a-8e93-4e35af5a461b · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.351068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a2ea4b18-8150-4340-b5aa-9efb00efb368 · outbound

This paper cites The Condorcet Dimension of Metric Spaces.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion The Condorcet Dimension of Metric Spaces

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-07T19:40:37.211059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ff07b7df-a063-4043-a772-64f9aaa94446 · outbound

This paper cites Masa r \' k, G.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Masa r \' k, G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.330500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e63b368d-3fbc-4c06-9b42-36fb4505336b · outbound

This paper cites McCune and A.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion McCune and A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.312652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4d2f6b4e-841b-45d0-b86d-2ac6a7f1a59b · outbound

This paper cites Micha and N.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Micha and N

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.293659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cf3f432d-f819-46b0-a885-6ac93e10ff68 · outbound

This paper cites Peters and P.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Peters and P

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:40:37.274030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cda961f2-233f-4d8d-84db-acfcdf8ea303 · outbound

This paper cites an unresolved cited work.

Proportional Clustering, the $\beta$-Plurality Problem, and Metric Distortion Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:40:37.254917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.