Paper Citation Record · LEDGER

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions

As of 7 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 2 inbound Pith citation observations for arXiv:2605.12717.

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

pith.paper-citation-record.v1
2605.12717 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-14T19:57:31.894109Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T09:03:13.650100Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

50 of 50 outbound references displayed

verified exact5
verified fuzzy42
unresolved2
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cfe2807b-c398-4fb2-b237-2ee63096578b · outbound

This paper cites On the convergence of gradient descent for finding the Riemannian center of mass.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions On the convergence of gradient descent for finding the Riemannian center of mass

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.675067Z

Source-reported events for the cited work

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Observation cc84963c-9551-4923-befd-16df4db42310 · outbound

This paper cites The moral machine experiment.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions The moral machine experiment

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.693767Z

Source-reported events for the cited work

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Observation 6f090230-fc02-4819-b6ce-2d734e9597e1 · outbound

This paper cites On the stability of moral preferences: A problem with computational elicitation methods.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions On the stability of moral preferences: A problem with computational elicitation methods

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.689484Z

Source-reported events for the cited work

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Observation 7e40743c-42de-4049-94c6-07f2a279562c · outbound

This paper cites Optimal budget aggregation with single-peaked preferences.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Optimal budget aggregation with single-peaked preferences

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.684149Z

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Observation 57c8a307-2a80-44db-910c-b8b5cad0381e · outbound

This paper cites Justified representation for perpetual voting.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Justified representation for perpetual voting

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.711686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a27ccac6-720a-4ee3-bbd1-de7f559e9039 · outbound

This paper cites Buss and Jay P.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Buss and Jay P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.716410Z

Source-reported events for the cited work

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Observation 2947875c-375a-4093-80b2-c852c02cf1c2 · outbound

This paper cites Truthful aggregation of budget proposals with proportionality guarantees.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Truthful aggregation of budget proposals with proportionality guarantees

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.707076Z

Source-reported events for the cited work

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Observation fa21f78a-34fe-4169-838b-2dc742a0ffd3 · outbound

This paper cites Fr \'e chet mean and p -mean on the unit circle: decidability, algorithm, and applications to clustering on the flat torus.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Fr \'e chet mean and p -mean on the unit circle: decidability, algorithm, and applications to clustering on the flat torus

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.733680Z

Source-reported events for the cited work

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Observation 5e1b63da-75c5-4070-b729-ad8363290419 · outbound

This paper cites Proportional aggregation of preferences for sequential decision making.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Proportional aggregation of preferences for sequential decision making

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.728969Z

Source-reported events for the cited work

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Observation 716e0e9b-17eb-4f81-9683-d410daf20144 · outbound

This paper cites Necessary and sufficient condition for the existence of a Fr \'e chet mean on the circle.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Necessary and sufficient condition for the existence of a Fr \'e chet mean on the circle

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.720747Z

Source-reported events for the cited work

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Observation 7768f7dc-7488-4548-852d-83ab5ad62d53 · outbound

This paper cites Christiano, Jan Leike, Tom B.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Christiano, Jan Leike, Tom B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.724534Z

Source-reported events for the cited work

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Observation bc9edcbc-6a37-4c4b-a2db-b0ac41ab03ec · outbound

This paper cites Holliday, Bob M.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Holliday, Bob M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.702964Z

Source-reported events for the cited work

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Observation 27d10b4a-bdc6-4fcb-9fea-bf5206bfbf15 · outbound

This paper cites Truthful Budget Aggregation: Beyond Moving-Phantom Mechanisms.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Truthful Budget Aggregation: Beyond Moving-Phantom Mechanisms

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-14T19:57:52.942033Z

Source-reported events for the cited work

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Observation 3fb4e909-431c-4dc2-8f5b-a2487785d304 · outbound

This paper cites Settling the score: Portioning with cardinal preferences.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Settling the score: Portioning with cardinal preferences

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.698490Z

Source-reported events for the cited work

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Observation 61874d36-0866-4a1c-b6cf-f1d91b275522 · outbound

This paper cites Moral machine or tyranny of the majority? In Proceedings of the 37th AAAI Conference on Artificial Intelligence (AAAI), pages 5974--5982.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Moral machine or tyranny of the majority? In Proceedings of the 37th AAAI Conference on Artificial Intelligence (AAAI), pages 5974--5982

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.621232Z

Source-reported events for the cited work

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Observation c98523ef-0140-44c2-bd72-df7e4663f812 · outbound

This paper cites Adapting a kidney exchange algorithm to align with human values.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Adapting a kidney exchange algorithm to align with human values

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.635055Z

Source-reported events for the cited work

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Observation 72bfc82e-5e79-43e0-b9df-c26f184d57d6 · outbound

This paper cites Project-fair and truthful mechanisms for budget aggregation.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Project-fair and truthful mechanisms for budget aggregation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.616519Z

Source-reported events for the cited work

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Observation e1b3ea09-6cd5-4bc7-ad7e-745a3ba0fe41 · outbound

This paper cites Pennock, Dominik Peters, and Jennifer Wortman Vaughan.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Pennock, Dominik Peters, and Jennifer Wortman Vaughan

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.625627Z

Source-reported events for the cited work

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Observation 910a50b7-9331-4667-a197-f0f5c1a3aca3 · outbound

This paper cites Procaccia, Itai Shapira, Yevgeniy Vorobeychik, and Junlin Wu.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Procaccia, Itai Shapira, Yevgeniy Vorobeychik, and Junlin Wu

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.630199Z

Source-reported events for the cited work

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Observation 1bcb8033-aacb-4a64-89e7-0bfb8968f2da · outbound

This paper cites Enforcing axioms for AI alignment under loss-based rules.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Enforcing axioms for AI alignment under loss-based rules

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.662422Z

Source-reported events for the cited work

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Observation 33833097-c9cf-49b0-9617-ecca9c4b67b3 · outbound

This paper cites Intrinsic means on the circle: uniqueness, locus and asymptotics.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Intrinsic means on the circle: uniqueness, locus and asymptotics

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.649017Z

Source-reported events for the cited work

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Observation 23afa71c-c007-4979-885e-311e25e358f1 · outbound

This paper cites Procaccia, and Christos - Alexandros Psomas.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Procaccia, and Christos - Alexandros Psomas

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.560998Z

Source-reported events for the cited work

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Observation 9f75d35e-dba8-4c8b-a742-050260c888b6 · outbound

This paper cites On the pros and cons of active learning for moral preference elicitation.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions On the pros and cons of active learning for moral preference elicitation

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.657768Z

Source-reported events for the cited work

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Observation 165a3314-b97e-4e6e-90bb-5662dc620825 · outbound

This paper cites Nguyen, Vincent Conitzer, Hoda Heidari, Jana Schaich Borg, and Walter Sinnott - Armstrong.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Nguyen, Vincent Conitzer, Hoda Heidari, Jana Schaich Borg, and Walter Sinnott - Armstrong

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.582734Z

Source-reported events for the cited work

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Observation 73f32059-871c-44e9-b371-108a2f753603 · outbound

This paper cites Tenenbaum, and Iyad Rahwan.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Tenenbaum, and Iyad Rahwan

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.556744Z

Source-reported events for the cited work

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Observation bcad27e1-07b1-4393-8d45-235e0ef8f47a · outbound

This paper cites Optimal bounds for dissatisfaction in perpetual voting.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Optimal bounds for dissatisfaction in perpetual voting

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.596407Z

Source-reported events for the cited work

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Observation d7b57afb-d68a-4c5e-8b91-d8ea141ce835 · outbound

This paper cites Perpetual voting: Fairness in long-term decision making.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Perpetual voting: Fairness in long-term decision making

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.548337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 70c6386e-e7a7-43b7-ac15-bc118560bbf1 · outbound

This paper cites Proportional decisions in perpetual voting.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Proportional decisions in perpetual voting

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.543714Z

Source-reported events for the cited work

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Observation 5c80e6e2-e2bd-4911-bf6b-62cd3cfb43e4 · outbound

This paper cites Proportional Representation in Rank Aggregation.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Proportional Representation in Rank Aggregation

Reference 29

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Observation 0d56ec7f-9c6e-44fd-b116-5992640b7966 · outbound

This paper cites The Squared Kemeny Rule for Averaging Rankings.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions The Squared Kemeny Rule for Averaging Rankings

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-14T19:57:52.922772Z

Source-reported events for the cited work

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Observation 6c96ec16-90a5-4321-8cf4-3cc516b1de11 · outbound

This paper cites Procaccia.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Procaccia

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.565028Z

Source-reported events for the cited work

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Observation d6a062a1-e2ea-47bc-b814-5b99bad38a0a · outbound

This paper cites Jackpot! Alignment as a Maximal Lottery.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Jackpot! Alignment as a Maximal Lottery

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-14T19:57:52.935750Z

Source-reported events for the cited work

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Observation 9df5b273-e99a-4723-baf0-a93a09082f3a · outbound

This paper cites Toponogov’s theorem and applications.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Toponogov’s theorem and applications

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.670775Z

Source-reported events for the cited work

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Observation 0c127735-b9ea-4907-b578-16851ad964dc · outbound

This paper cites Foundations of machine learning.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Foundations of machine learning

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.639645Z

Source-reported events for the cited work

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Observation 401555ac-8a7f-4217-841a-3e03985e99ad · outbound

This paper cites Learning individual and collective priorities over moral dilemmas with the life jacket dataset.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Learning individual and collective priorities over moral dilemmas with the life jacket dataset

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.666946Z

Source-reported events for the cited work

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Observation 95c35d85-6896-4de0-9e84-40901e7ad80a · outbound

This paper cites A voting-based system for ethical decision making.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions A voting-based system for ethical decision making

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.612778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4d09ee64-8dcf-46da-b8b2-5783e36259df · outbound

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The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Unresolved cited work

Reference 37

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Observation fdd62d9d-e148-4df2-89f2-07111f6beaad · outbound

This paper cites Strengthening proportionality in temporal voting.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Strengthening proportionality in temporal voting

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-14T19:57:52.915134Z

Source-reported events for the cited work

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Observation 44f10ce3-a5ea-43b2-b35b-877e514f723a · outbound

This paper cites Procaccia, Benjamin Schiffer, and Shirley Zhang.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Procaccia, Benjamin Schiffer, and Shirley Zhang

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.600881Z

Source-reported events for the cited work

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Observation 77b51f50-415a-47dc-b5db-df0d4a65e761 · outbound

This paper cites Manning, Stefano Ermon, and Chelsea Finn.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Manning, Stefano Ermon, and Chelsea Finn

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.586836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 107c2357-2385-460b-bfb6-a104cca462f7 · outbound

This paper cites High-Dimensional Statistics.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions High-Dimensional Statistics

Reference 41

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T19:57:52.929240Z

Source-reported events for the cited work

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Observation 227a9da8-18a5-4bee-8b49-b2e2b59ace2d · outbound

This paper cites Participatory objective design via preference elicitation.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Participatory objective design via preference elicitation

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.652879Z

Source-reported events for the cited work

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Observation 8afec907-b8c4-4a52-8af6-6c9dabb496be · outbound

This paper cites Procaccia.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Procaccia

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.569000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f44ed048-53b0-4619-9827-a2a9f9330c3a · outbound

This paper cites Distributional preference learning: Understanding and accounting for hidden context in RLHF.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Distributional preference learning: Understanding and accounting for hidden context in RLHF

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.644496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 09fad283-4f39-4d70-b77b-e43746bb1346 · outbound

This paper cites Gordon, Niloofar Mireshghallah, Christopher Michael Rytting, Andre Ye, Liwei Jiang, Ximing Lu, Nouha Dziri, Tim Althoff, and Yejin Choi.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Gordon, Niloofar Mireshghallah, Christopher Michael Rytting, Andre Ye, Liwei Jiang, Ximing Lu, Nouha Dziri, Tim Althoff, and Yejin Choi

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.573838Z

Source-reported events for the cited work

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Observation f0083e14-1b7d-4cb4-b788-b99490444055 · outbound

This paper cites Riemannian spaces having their curvature bounded below by a positive number.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Riemannian spaces having their curvature bounded below by a positive number

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.578487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 004f7b01-c26f-4ecd-9bc4-487d3f0fbfd4 · outbound

This paper cites an unresolved cited work.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-05-14T19:57:54.679479Z

Source-reported events for the cited work

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Observation ef3f6138-0f08-438a-9f81-f1765df77100 · outbound

This paper cites High-dimensional statistics: A non-asymptotic viewpoint.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions High-dimensional statistics: A non-asymptotic viewpoint

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.552749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cce1515f-74c5-4f37-9fe5-0f5ee8a8f707 · outbound

This paper cites Arithmetic control of llms for diverse user preferences: Directional preference alignment with multi-objective rewards.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Arithmetic control of llms for diverse user preferences: Directional preference alignment with multi-objective rewards

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.591544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b99048ad-ad22-4d45-9d5f-7b740624992b · outbound

This paper cites Interpretable preferences via multi-objective reward modeling and mixture-of-experts.

The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions Interpretable preferences via multi-objective reward modeling and mixture-of-experts

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T19:57:54.608742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

Observation 04310226-9330-43ff-bc6f-482905bb29f2 · inbound

Internal Pluralism and the Limits of Pairwise Comparisons cites this paper.

Internal Pluralism and the Limits of Pairwise Comparisons The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions

Reference 249

Resolution: unresolved; no resolver link, observed 2026-07-12T07:49:57.204875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ad7e648-c327-46fd-9b33-ad9d0da531da · inbound

Internal Pluralism and the Limits of Pairwise Comparisons cites this paper.

Internal Pluralism and the Limits of Pairwise Comparisons The End Justifies the Mean: A Linear Ranking Rule for Proportional Sequential Decisions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T09:03:13.650100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.