Paper Citation Record · LEDGER

Improved Lower Bounds for Proportionally Fair Clustering

As of 9 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2606.07285.

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

pith.paper-citation-record.v1
2606.07285 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:24:17.557563Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

19 of 19 outbound references displayed

verified exact4
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9778ce09-134b-455b-a286-4e20accb493d · outbound

This paper cites Embeddings for Preferences, Not Semantics.

Improved Lower Bounds for Proportionally Fair Clustering Embeddings for Preferences, Not Semantics

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-07-02T20:27:22.510295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e95608c2-3959-417c-a437-ed2da3ded873 · outbound

This paper cites Proceedings of the AAAI Conference on Artificial Intelligence , volume=.

Improved Lower Bounds for Proportionally Fair Clustering Proceedings of the AAAI Conference on Artificial Intelligence , volume=

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d295771-77e6-4f18-b6aa-fd5b588d39f5 · outbound

This paper cites Proceedings of the Thirty-Fourth International Joint Conference on Artificial Intelligence , articleno =.

Improved Lower Bounds for Proportionally Fair Clustering Proceedings of the Thirty-Fourth International Joint Conference on Artificial Intelligence , articleno =

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f389cdb-3675-443f-8477-dde0b65f2442 · outbound

This paper cites Proportional Clustering, the.

Improved Lower Bounds for Proportionally Fair Clustering Proportional Clustering, the

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7d3fbf1-2b05-453d-a9ed-6b70de21265a · outbound

This paper cites 2024 , issue_date =.

Improved Lower Bounds for Proportionally Fair Clustering 2024 , issue_date =

Reference 5

Resolution: verified exact; doi, observed 2026-06-27T20:31:14.365355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 457cfca4-7b2b-41fc-83e7-3d6ce98aef90 · outbound

This paper cites 2021 , issue_date =.

Improved Lower Bounds for Proportionally Fair Clustering 2021 , issue_date =

Reference 6

Resolution: verified exact; doi, observed 2026-06-27T20:31:14.367055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6beb45ec-6cad-46fe-bc2a-cdde27bf14b0 · outbound

This paper cites Fair Transit Stop Placement: A Clustering Perspective and Beyond.

Improved Lower Bounds for Proportionally Fair Clustering Fair Transit Stop Placement: A Clustering Perspective and Beyond

Reference 7

Resolution: metadata mismatch; local_arxiv, observed 2026-07-02T20:27:22.508605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 236f7e3e-dacd-45f2-8749-27fb219fe166 · outbound

This paper cites Proceedings of the 24th International Conference on Autonomous Agents and Multiagent Systems , pages =.

Improved Lower Bounds for Proportionally Fair Clustering Proceedings of the 24th International Conference on Autonomous Agents and Multiagent Systems , pages =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3547ea7-2bad-416d-a018-4f83fa97f398 · outbound

This paper cites arXiv preprint arXiv:2511.19107 , year=.

Improved Lower Bounds for Proportionally Fair Clustering arXiv preprint arXiv:2511.19107 , year=

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:27:22.511384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b4507f67-db8f-4706-b333-5c0218517909 · outbound

This paper cites Information Processing Letters , volume=.

Improved Lower Bounds for Proportionally Fair Clustering Information Processing Letters , volume=

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89ffa52d-98b1-440f-a51b-36b411c9896d · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

Improved Lower Bounds for Proportionally Fair Clustering Advances in Neural Information Processing Systems , volume =

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 804a59f1-be11-4808-acf7-eab622744060 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Improved Lower Bounds for Proportionally Fair Clustering Advances in Neural Information Processing Systems , volume=

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 104b4a1e-b8be-4a38-a31e-928a47727f3a · outbound

This paper cites Proceedings of the 36th International Conference on Machine Learning (ICML'19) , pages =.

Improved Lower Bounds for Proportionally Fair Clustering Proceedings of the 36th International Conference on Machine Learning (ICML'19) , pages =

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5c61b91-65b0-451b-81c5-f6b7b26e9be3 · outbound

This paper cites Proceedings of the 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020) , series =.

Improved Lower Bounds for Proportionally Fair Clustering Proceedings of the 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020) , series =

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d2e0e33-5322-461d-ba5c-cb99d4b46223 · outbound

This paper cites and Chu, Sean Morota and Vollen, Jeremy , title =.

Improved Lower Bounds for Proportionally Fair Clustering and Chu, Sean Morota and Vollen, Jeremy , title =

Reference 15

Resolution: verified exact; doi, observed 2026-06-27T20:31:14.366335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ff59866d-3f2f-405f-a7a5-ae6221404f3f · outbound

This paper cites Computing and Testing Pareto Optimal Committees , journal =.

Improved Lower Bounds for Proportionally Fair Clustering Computing and Testing Pareto Optimal Committees , journal =

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5817452d-23da-43ff-906c-acb079384a83 · outbound

This paper cites Proceedings of the 38th International Conference on Neural Information Processing Systems , articleno =.

Improved Lower Bounds for Proportionally Fair Clustering Proceedings of the 38th International Conference on Neural Information Processing Systems , articleno =

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4157306a-2cb2-41b6-b2ae-4c89fdaf6b49 · outbound

This paper cites Proceedings of the 38th International Conference on Neural Information Processing Systems , articleno =.

Improved Lower Bounds for Proportionally Fair Clustering Proceedings of the 38th International Conference on Neural Information Processing Systems , articleno =

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0babe45-a82c-480a-bc24-7bbc286e45c3 · outbound

This paper cites Proportionale Clusterings auf Graphen , url=.

Improved Lower Bounds for Proportionally Fair Clustering Proportionale Clusterings auf Graphen , url=

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T20:24:17.557563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.