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Paper Citation Record · LEDGER

Full Proportional Justified Representation

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 3 inbound Pith citation observations for arXiv:2501.12015.

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

pith.paper-citation-record.v1
2501.12015 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:50:52.909801Z

measured 37 of 37 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:50:33.898778Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T22:47:26.043953Z

Reference resolution

34 of 34 outbound references displayed

  • verified exact11
  • verified fuzzy14
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a34e543-575c-41a6-baf4-b4cc68a354a6 · outbound

This paper cites an unresolved cited work.

Full Proportional Justified Representation Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T17:50:52.786579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:50:52.786579Z digest=sha256:9083820063128e627206afcde873c61cf9a4c269b5de2c48d8282c02904d3389

Observation e69af9df-f2e0-4c29-a58d-d8677f8fd062 · outbound

This paper cites Participatory budgeting: Models and approaches.

Full Proportional Justified Representation Participatory budgeting: Models and approaches

Reference 2

Resolution
verified exact
doi, observed 2026-08-10T17:50:53.055079Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.791380Z digest=sha256:8a3823f850979a5ec1eb4dabce895718c08c096f65f51377cc6e1e4a2e656df8

Observation 60890790-994e-4b4c-9f0c-161d61f3fbb7 · outbound

This paper cites Computational aspects of multi-winner approval voting.

Full Proportional Justified Representation Computational aspects of multi-winner approval voting

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.421264Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.795586Z digest=sha256:4bf1638ab235cce27ce9e0e3ac49fae2ab00f6fd2267b16bf77216a2a5419634

Observation 27d6a8fa-34e3-4a76-bb95-64dfe94b7de1 · outbound

This paper cites Justified representation in approval-based committee voting.

Full Proportional Justified Representation Justified representation in approval-based committee voting

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.410707Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.799961Z digest=sha256:aced68d0e5382384a2fc49419c0145a7390b40720bacbadd960a708ba782a8ce

Observation e4f0923e-4261-4e46-8954-2c9c9ba2fb98 · outbound

This paper cites On the complexity of extended and proportional justified representation.

Full Proportional Justified Representation On the complexity of extended and proportional justified representation

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.400498Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.803780Z digest=sha256:4e568b06329affad727bd88c0a0d200fcdadc0898e88465dfaf44c1691b469cb

Observation 8789d4b6-bca6-4d6f-811a-3decb909e441 · outbound

This paper cites Lee, and Nimrod Talmon.

Full Proportional Justified Representation Lee, and Nimrod Talmon

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.390356Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.807445Z digest=sha256:9172c60382197fc4fd67e99e5de7e007adef9cf1b0c784b53f0fe01f360cc9be

Observation cf729796-27bb-423e-a856-6c2af1418163 · outbound

This paper cites Brams, Markus Brill, and Anne-Marie George.

Full Proportional Justified Representation Brams, Markus Brill, and Anne-Marie George

Reference 7

Resolution
verified exact
doi, observed 2026-08-10T17:50:53.044231Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.811119Z digest=sha256:b13719e00fee220c14b1ca8c0173fea40b3cf5ebef5435dec3cb60210adaff58

Observation e8aa2185-d66c-45e4-b083-7428a5433bac · outbound

This paper cites Procaccia.

Full Proportional Justified Representation Procaccia

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.380434Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.814316Z digest=sha256:f7dcfae2d6e9e68d7ad70f6159c9ffac34616ac848455fd7ff209400a7117244

Observation 8ef47585-520c-4425-83e8-05e14bff45ac · outbound

This paper cites Robust and verifiable proportionality axioms for multiwinner voting.

Full Proportional Justified Representation Robust and verifiable proportionality axioms for multiwinner voting

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T17:50:52.817735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:50:52.817735Z digest=sha256:c30bc43da6ffe0ea62388aa484b425f9bef80a5c8d0a06ff5849f09364284e76

Observation 4ddea920-b62b-4137-8277-068cb7bc88d3 · outbound

This paper cites Proportionality in approval-based participatory budgeting.

Full Proportional Justified Representation Proportionality in approval-based participatory budgeting

Reference 10

Resolution
verified exact
doi, observed 2026-08-10T17:50:53.033453Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.820934Z digest=sha256:80bd66c1814198a437e5c60bf53b5307315f9862807bd11638a04b3f966b3172

Observation 12ca73d7-9f30-4586-9235-a150fe06621b · outbound

This paper cites Phragm\' e n's voting methods and justified representation.

Full Proportional Justified Representation Phragm\' e n's voting methods and justified representation

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T17:50:52.824024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:50:52.824024Z digest=sha256:db9304828777219ebfac465eac37eac45857d5bfc5344b73af85fa6686ed1b4e

Observation ed93a7bd-8a72-481f-834c-9e932e873337 · outbound

This paper cites Voudouris.

Full Proportional Justified Representation Voudouris

Reference 12

Resolution
verified exact
doi, observed 2026-08-10T17:50:53.016460Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.827693Z digest=sha256:e8b594b37a95dee496e6a3970f4df3b902449024e11049b71edf9261dc5e0c8e

Observation 8897462b-4839-46a1-a6c4-0cbba922aac7 · outbound

This paper cites Chamberlin and Paul N.

Full Proportional Justified Representation Chamberlin and Paul N

Reference 13

Resolution
verified exact
doi, observed 2026-08-10T17:50:53.005214Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.831399Z digest=sha256:a8c4a3884584fff7404e54552b8746df8ffe541ed59675b2c405e7f209bbeadb

Observation 4ccb314f-4884-48bd-a5f3-fe3d310aada5 · outbound

This paper cites Voting Procedures.

Full Proportional Justified Representation Voting Procedures

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.371181Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.835047Z digest=sha256:6b14bb2bed87ef6acf93b185c6f11170e790531184da105b041af75b2f86c958

Observation a298e180-831a-4f50-a623-22672d640d0b · outbound

This paper cites Boosting Sortition via Proportional Representation.

Full Proportional Justified Representation Boosting Sortition via Proportional Representation

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:50:53.196127Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.838312Z digest=sha256:2f212636a6e7ef1197f61fb82fd84302f30cc57471181961187203a147de7458

Observation 5a954bb7-d75d-49a8-9b5d-0e9f4d1c65a1 · outbound

This paper cites Multiwinner voting: A new challenge for social choice theory.

Full Proportional Justified Representation Multiwinner voting: A new challenge for social choice theory

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.361072Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.842146Z digest=sha256:afa2cbde41fcc0e3e2bda1a0ba5289e78b3b1f0e6347b1a31c785472a089c366

Observation 4387c28e-b07a-46da-bc29-3cdc490a9293 · outbound

This paper cites Achieving fully proportional representation by clustering voters.

Full Proportional Justified Representation Achieving fully proportional representation by clustering voters

Reference 17

Resolution
verified exact
doi, observed 2026-08-10T17:50:52.993447Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.845680Z digest=sha256:81f0ca2153bde36b8d9dc40d7fbfac84e61b4223c201ffffc9458aa631a650ef

Observation b28c6091-4067-4bb7-b553-39b5959a65ee · outbound

This paper cites Garey and David S.

Full Proportional Justified Representation Garey and David S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.351161Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.849128Z digest=sha256:0e2aa4a518f4086e4488ce05792ec23de6ca48168a42108ab01e29a1ac121779

Observation dab747b0-91cc-4908-a89b-46ab9ee9f91e · outbound

This paper cites Krishnaswamy, Sukolsak Sakshuwong, and Tanja Aitamurto.

Full Proportional Justified Representation Krishnaswamy, Sukolsak Sakshuwong, and Tanja Aitamurto

Reference 19

Resolution
verified exact
doi, observed 2026-08-10T17:50:52.981047Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.852180Z digest=sha256:bcaae3977f713c65379260b82b805dc9688c3927d300b91ee76195b4b78d51a1

Observation 3fc68cf9-22dc-4f86-a38d-b0abfa332756 · outbound

This paper cites Humphreys.

Full Proportional Justified Representation Humphreys

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.341098Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.855889Z digest=sha256:9dde83828dc5d9084f650320739a4a7aa2d1bdb6c96c553956d4fbb9d9294682

Observation a0cb5244-1733-4297-8152-5e5bec26433b · outbound

This paper cites Phragm\'en's and Thiele's election methods.

Full Proportional Justified Representation Phragm\'en's and Thiele's election methods

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T17:50:52.859554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:50:52.859554Z digest=sha256:cad7f93b5904ad8cedc4d456269d64a44c6e62221302f89fc2ff7ec2ebdbcf8d

Observation 50c6b90c-b96d-4be0-8f12-849aa8c138ec · outbound

This paper cites Proportional representation in metric spaces and low-distortion committee selection.

Full Proportional Justified Representation Proportional representation in metric spaces and low-distortion committee selection

Reference 22

Resolution
verified exact
doi, observed 2026-08-10T17:50:52.971402Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.863385Z digest=sha256:9c3d6080e9a74d96252a5abf9ffe82222809df8964a52a45e3ce4253b7d813e0

Observation 33a2eea2-89e3-499c-9ba8-0aec1d06aeb1 · outbound

This paper cites Approval-Based Committee Voting, pages 1--7.

Full Proportional Justified Representation Approval-Based Committee Voting, pages 1--7

Reference 23

Resolution
verified exact
doi, observed 2026-08-10T17:50:52.961518Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.867069Z digest=sha256:462865d6458acd17fb6a42dea5b206302c8fdfbc0a3f86ccf41e47ee310cfad8

Observation 66c680d2-7204-4b89-bf13-f903e0a25414 · outbound

This paper cites an unresolved cited work.

Full Proportional Justified Representation Unresolved cited work

Reference 24

Resolution
verified exact
doi, observed 2026-08-10T17:50:52.948622Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.870765Z digest=sha256:d54ee3b57f05e9d6f52c0d31a2c34a97ed9ec6d4ceb257e4ff8ec1e359bbf3d0

Observation 149cbcc8-7539-4f3e-b853-4312a8d8f8c8 · outbound

This paper cites Choosing from a tournament.

Full Proportional Justified Representation Choosing from a tournament

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.330557Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.873967Z digest=sha256:671ed9fd507d12c303770dcf205bb3310ca577bfc8bb7ba8ae6469c963000009

Observation a8ed8a2a-39c9-477c-b27c-61bad7b09971 · outbound

This paper cites Proportionality and the limits of welfarism.

Full Proportional Justified Representation Proportionality and the limits of welfarism

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-10T17:50:52.881034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:50:52.881034Z digest=sha256:2420884a74fd40f6cc398c9a13139d8b733ce8968e8ac6c95ef32ad02ad7a230

Observation e2cd7b04-baac-41d9-97bb-1ef2139fad7f · outbound

This paper cites Proportional participatory budgeting with additive utilities.

Full Proportional Justified Representation Proportional participatory budgeting with additive utilities

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.320089Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.884685Z digest=sha256:9a21304ac0483b832ccffc814262ba0d9c56abe581dbf22ff7eecf3f3584c7e8

Observation 67e507f6-42e2-42e6-9dd9-2e88b4ba2908 · outbound

This paper cites Proportional participatory budgeting with additive utilities.

Full Proportional Justified Representation Proportional participatory budgeting with additive utilities

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.309765Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.888161Z digest=sha256:3978254e085ba19ae64a71ff79f6959a95f95afb9dbea25e2e2b16bfe506a77a

Observation eee6ff36-cfd8-47e7-bda1-8367f96e8f03 · outbound

This paper cites Approval-based elections and distortion of voting rules.

Full Proportional Justified Representation Approval-based elections and distortion of voting rules

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.298730Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.891566Z digest=sha256:1a416f92fb2b86041eb1af980393b2ca93d97e0132e3cd2b6ab0b0f29e3eaa39

Observation 8acb699f-7aa2-4e59-9a60-227179cbe9b4 · outbound

This paper cites The (Computational) Social Choice Take on Indivisible Participatory Budgeting.

Full Proportional Justified Representation The (Computational) Social Choice Take on Indivisible Participatory Budgeting

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-10T17:50:52.894912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:50:52.894912Z digest=sha256:65df69d188bb1fea8a670cbaa0797d873cc387647854c11bf6780dad1e165c20

Observation b927cff1-7cbb-4781-a3c5-183548981aac · outbound

This paper cites Proportional justified representation.

Full Proportional Justified Representation Proportional justified representation

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:50:53.287499Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.898597Z digest=sha256:8998f15d4ca03e802634ac217dea812d089f59e4d547c75690d968222fa6e865

Observation 410ffaf3-33f0-45e2-9ff0-73cf16aba68a · outbound

This paper cites Data as Voters: Core Set Selection Using Approval-Based Multi-Winner Voting.

Full Proportional Justified Representation Data as Voters: Core Set Selection Using Approval-Based Multi-Winner Voting

Reference 33

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T17:50:53.075682Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.902112Z digest=sha256:9d243852892382fccc495c70551006de6fa3c492c060e76898818951e76658e0

Observation 44178e5d-4c3c-447c-a7d6-79aee04172e2 · outbound

This paper cites Proportional rankings.

Full Proportional Justified Representation Proportional rankings

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-10T17:50:52.905946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:50:52.905946Z digest=sha256:8c592ed2f860ddceba52fc095ecca1dd82a563858a02624b62b5f5c618132293

Observation db9ce876-630d-4dae-ad38-be9eb944679d · outbound

This paper cites an unresolved cited work.

Full Proportional Justified Representation Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:50:53.276142Z

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.

source=arxiv_source observed=2026-08-10T17:50:52.909801Z digest=sha256:6c661b614ce90f7acc7664c236b627a14aa682165f1e9b3c8a4ac282441fc8dc

Pith citing papers

Observation e038a36f-f85a-4fa4-8f33-cd1fb85fdadf · inbound

Metritocracy: Representative Metrics for Lite Benchmarks cites this paper.

Metritocracy: Representative Metrics for Lite Benchmarks Full Proportional Justified Representation

Reference 1973

Resolution
unresolved
no resolver link, observed 2026-08-07T04:50:33.898778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:50:33.898778Z digest=sha256:6abfc18ad436807b851c9d005a06949b9267c72e29748a906f516e22c6e9b5a7

Observation 79e0bedc-90ba-4679-81d3-e70298e8120f · inbound

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery cites this paper.

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery Full Proportional Justified Representation

Reference 264

Resolution
verified exact
arxiv_id, observed 2026-07-02T22:47:26.045496Z

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.

source=pdf_text observed=2026-06-27T18:39:44.696961Z digest=sha256:8ecdfbae72677cbbde33d592ce26d4335d2c537037aeaf2f457b76095a703b0c

Observation e96d7097-a547-42bc-bdec-3bc59dc36b8e · inbound

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery cites this paper.

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery Full Proportional Justified Representation

Reference 266

Resolution
unresolved
no resolver link, observed 2026-08-02T12:05:18.804067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:05:18.804067Z digest=sha256:75f66c9c9112b6be219fb7e5e5fa37c96839929bace9be3923f34cb143fee7bf