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Paper Citation Record · LEDGER

Exploring Relations among Fairness Notions in Discrete Fair Division

As of 21 August 2026, this Paper Citation Record lists 100 of 161 outbound references and 4 inbound Pith citation observations for arXiv:2502.02815.

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

pith.paper-citation-record.v1
2502.02815 v3

Coverage vector

measured 100 of 161 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T11:11:45.524786Z

measured 104 of 104 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T14:09:00.535593Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T02:49:25.170822Z

Reference resolution

100 of 161 outbound references displayed

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External citation measurements

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Outbound references

Observation 007f162c-0f73-41c2-a848-e7dc831fa682 · outbound

This paper cites Breaking the 3 /4 barrier for approximate maximin share.

Exploring Relations among Fairness Notions in Discrete Fair Division Breaking the 3 /4 barrier for approximate maximin share

Reference 1

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Observation b796b483-0076-401a-9efe-730a9f2b8aee · outbound

This paper cites Random- ized and deterministic maximin-share approximations for fractionally subadditive valuations.

Exploring Relations among Fairness Notions in Discrete Fair Division Random- ized and deterministic maximin-share approximations for fractionally subadditive valuations

Reference 2

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Observation 2cd0c774-0e58-474e-8116-7ca0b61a08d2 · outbound

This paper cites Epistemic EFX allocations exist for monotone valuations.

Exploring Relations among Fairness Notions in Discrete Fair Division Epistemic EFX allocations exist for monotone valuations

Reference 3

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Observation ea223f42-7606-44c2-8f3c-33776dac8e44 · outbound

This paper cites Fair division of indivisible goods: Recent progress and open questions.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair division of indivisible goods: Recent progress and open questions

Reference 4

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Observation 2bf7b652-1c48-4734-8240-aaea181d470b · outbound

This paper cites Voudouris.

Exploring Relations among Fairness Notions in Discrete Fair Division Voudouris

Reference 5

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Observation 6eba8b96-de31-4e3b-835d-17c797c19ab3 · outbound

This paper cites Comparing approximate relaxations of envy-freeness.

Exploring Relations among Fairness Notions in Discrete Fair Division Comparing approximate relaxations of envy-freeness

Reference 6

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Observation b8fbc562-42a4-481c-9946-037980fb4e0d · outbound

This paper cites Multiple birds with one stone: Beating 1/2 for EFX and GMMS via envy cycle elimination.

Exploring Relations among Fairness Notions in Discrete Fair Division Multiple birds with one stone: Beating 1/2 for EFX and GMMS via envy cycle elimination

Reference 7

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Observation e201c001-e425-4a21-bc76-576180de07b5 · outbound

This paper cites Computing Approximately Proportional Allocations of Indivisible Goods: Beyond Additive and Monotone Valuations.

Exploring Relations among Fairness Notions in Discrete Fair Division Computing Approximately Proportional Allocations of Indivisible Goods: Beyond Additive and Monotone Valuations

Reference 8

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Observation 7d31544b-6424-439e-b503-b9573070c950 · outbound

This paper cites Knowl- edge, fairness, and social constraints.

Exploring Relations among Fairness Notions in Discrete Fair Division Knowl- edge, fairness, and social constraints

Reference 9

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Observation 23b817a2-7842-4710-9174-0c26befc3116 · outbound

This paper cites Fair allocation of indivisible goods and chores.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair allocation of indivisible goods and chores

Reference 10

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Observation bc004504-e57e-4ee5-b51c-650fa3cb9108 · outbound

This paper cites A polynomial-time algorithm for com- puting a Pareto optimal and almost proportional allocation.

Exploring Relations among Fairness Notions in Discrete Fair Division A polynomial-time algorithm for com- puting a Pareto optimal and almost proportional allocation

Reference 11

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Observation 207a67af-a496-4de9-a0bd-25f7ee808fd3 · outbound

This paper cites Fair and truthful mechanisms for dichotomous valuations.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair and truthful mechanisms for dichotomous valuations

Reference 12

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Observation 6cc695c4-c22a-4467-a87c-7c34e97db232 · outbound

This paper cites Fair-share allocations for agents with arbitrary entitlements.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair-share allocations for agents with arbitrary entitlements

Reference 13

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Observation 0911aa72-65d3-46d3-a9ab-2820fd3714e0 · outbound

This paper cites Achieving pro- portionality up to the maximin item with indivisible goods.

Exploring Relations among Fairness Notions in Discrete Fair Division Achieving pro- portionality up to the maximin item with indivisible goods

Reference 14

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Observation 02a76303-5a03-4146-9000-a2109f47f0d9 · outbound

This paper cites PROPm alloca- tions of indivisible goods to multiple agents.

Exploring Relations among Fairness Notions in Discrete Fair Division PROPm alloca- tions of indivisible goods to multiple agents

Reference 15

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Observation 9a3d154b-c9b1-4057-ab9e-fc67f918e7f1 · outbound

This paper cites Groupwise maximin fair allocation of indivisible goods.

Exploring Relations among Fairness Notions in Discrete Fair Division Groupwise maximin fair allocation of indivisible goods

Reference 16

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Observation 25ac765a-d886-4b4e-a7ae-4643f6d94db9 · outbound

This paper cites Finding fair and efficient allocations.

Exploring Relations among Fairness Notions in Discrete Fair Division Finding fair and efficient allocations

Reference 17

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Observation e231b498-adf7-4ba7-a01d-c759f64bc820 · outbound

This paper cites Fair Chore Division under Binary Supermodular Costs.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair Chore Division under Binary Supermodular Costs

Reference 18

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Observation 41606f1c-693d-4fb5-8e9c-05e466792d06 · outbound

This paper cites Existence and computation of maximin fair alloca- tions under matroid-rank valuations.

Exploring Relations among Fairness Notions in Discrete Fair Division Existence and computation of maximin fair alloca- tions under matroid-rank valuations

Reference 19

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Observation 12ada499-9781-425f-872b-12112ae0f1d1 · outbound

This paper cites Almost full EFX exists for four agents.

Exploring Relations among Fairness Notions in Discrete Fair Division Almost full EFX exists for four agents

Reference 20

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Observation 2c6d9309-0722-4776-ae29-772628be0207 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 21

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Observation 3b2f169e-ac3c-4616-a15e-f00205714e9f · outbound

This paper cites Fair division under cardinality constraints.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair division under cardinality constraints

Reference 22

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Observation 1939cd82-ce73-46a3-a00e-e3f93c531d89 · outbound

This paper cites Fair division of a graph.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair division of a graph

Reference 23

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Observation 0cf22df7-ba49-4af4-9c8e-4c8e0fe77b87 · outbound

This paper cites Characterizing conflicts in fair division of indivisible goods using a scale of criteria.

Exploring Relations among Fairness Notions in Discrete Fair Division Characterizing conflicts in fair division of indivisible goods using a scale of criteria

Reference 24

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Observation 5eca391d-0114-4dfd-8c1e-ad766eb24e4b · outbound

This paper cites Brams and A.D.

Exploring Relations among Fairness Notions in Discrete Fair Division Brams and A.D

Reference 25

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Observation 63098965-bc3e-4b94-8660-e28e2a167949 · outbound

This paper cites The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes.

Exploring Relations among Fairness Notions in Discrete Fair Division The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes

Reference 26

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Observation aef38a11-ac62-4e7a-a552-38eaea58dcae · outbound

This paper cites New Fairness Concepts for Allocating Indivisible Items.

Exploring Relations among Fairness Notions in Discrete Fair Division New Fairness Concepts for Allocating Indivisible Items

Reference 27

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Observation 1137f042-9936-415b-b409-e82be54b6fbf · outbound

This paper cites New fairness concepts for allocating indivisible items.

Exploring Relations among Fairness Notions in Discrete Fair Division New fairness concepts for allocating indivisible items

Reference 28

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Observation 2112ec60-e628-45ab-9af0-e0bdd2981eb0 · outbound

This paper cites Procaccia, Nisarg Shah, and Junxing Wang.

Exploring Relations among Fairness Notions in Discrete Fair Division Procaccia, Nisarg Shah, and Junxing Wang

Reference 29

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Observation 94495f45-ff9e-4e25-81ff-b436c40b1eec · outbound

This paper cites Weighted envy- freeness in indivisible item allocation.

Exploring Relations among Fairness Notions in Discrete Fair Division Weighted envy- freeness in indivisible item allocation

Reference 30

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Observation cd23d8ec-77b7-425d-aec9-cc61f09a3ed3 · outbound

This paper cites Weighted fairness notions for indivisible items revisited.

Exploring Relations among Fairness Notions in Discrete Fair Division Weighted fairness notions for indivisible items revisited

Reference 31

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Observation 1e492e9a-dda5-40db-a58a-e691209788bc · outbound

This paper cites EFX exists for three agents.Journal of the ACM , 71(1):4:1–4:27, 2024.

Exploring Relations among Fairness Notions in Discrete Fair Division EFX exists for three agents.Journal of the ACM , 71(1):4:1–4:27, 2024

Reference 32

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Observation b04cb08c-0aea-4852-8b30-560b2bdaa3eb · outbound

This paper cites A little charity guarantees almost envy-freeness.

Exploring Relations among Fairness Notions in Discrete Fair Division A little charity guarantees almost envy-freeness

Reference 33

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Observation bf3cf468-f6f9-426d-bcd9-78a1edeb9324 · outbound

This paper cites Fair public decision making.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair public decision making

Reference 34

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Observation 1e4e23a9-5e8d-46a1-868b-95d4a871309c · outbound

This paper cites Fair Interval Scheduling of Indivisible Chores.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair Interval Scheduling of Indivisible Chores

Reference 35

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Observation a9ce9b84-4762-4b5a-b029-f443c7703072 · outbound

This paper cites Fair allocation of indivisible goods to asymmetric agents.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair allocation of indivisible goods to asymmetric agents

Reference 36

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 92fb043e-0e77-4897-8f71-749825ea49e3 · outbound

This paper cites On maximizing welfare when utility functions are subadditive.

Exploring Relations among Fairness Notions in Discrete Fair Division On maximizing welfare when utility functions are subadditive

Reference 37

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doi, observed 2026-08-09T11:11:45.949043Z

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source=pdf_text observed=2026-08-09T11:11:45.218397Z digest=sha256:5237728c07664a455ce0f718941fc19a78c908019776fe1fffed5cdc9e6063cc

Observation 5b92c955-2131-41d0-8716-42f0a7cfe86a · outbound

This paper cites Maximin fair allocations with two item values, 2022.

Exploring Relations among Fairness Notions in Discrete Fair Division Maximin fair allocations with two item values, 2022

Reference 38

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source=pdf_text observed=2026-08-09T11:11:45.239283Z digest=sha256:6b998eb2277808b0f55b50658028f5258f29b9183bbf5e4a7adaf7ee990f6409

Observation 227ff379-d879-400b-9af2-830cd1adf32c · outbound

This paper cites Low communication protocols for fair allocation of indivisible goods.

Exploring Relations among Fairness Notions in Discrete Fair Division Low communication protocols for fair allocation of indivisible goods

Reference 39

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source=pdf_text observed=2026-08-09T11:11:45.244047Z digest=sha256:6490eeafdb3ffca9772526df32b0c49f4dba14ca30ed837821798d9799e48d5b

Observation 52e4412a-c981-4549-91ae-421df0ce6991 · outbound

This paper cites A tight negative example for MMS fair allocations.

Exploring Relations among Fairness Notions in Discrete Fair Division A tight negative example for MMS fair allocations

Reference 40

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source=pdf_text observed=2026-08-09T11:11:45.248431Z digest=sha256:fb7f4608c58edbaa163ef17752d7d3f5fd8ec908cf237a3a61146e851c42c812

Observation 6413c94a-c207-4fa1-a262-8e3cb589e256 · outbound

This paper cites EF1 for Mixed Manna with Unequal Entitlements.

Exploring Relations among Fairness Notions in Discrete Fair Division EF1 for Mixed Manna with Unequal Entitlements

Reference 41

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source=pdf_text observed=2026-08-09T11:11:45.252992Z digest=sha256:3b7b608a909af4246a093e3010db21f391977abd433f8e6d7b7129c7c0b1aad7

Observation 36d03e13-f607-46b4-8e7c-fb302f11c3f7 · outbound

This paper cites Fair allocation of indivisible goods: Improvements and generalizations.

Exploring Relations among Fairness Notions in Discrete Fair Division Fair allocation of indivisible goods: Improvements and generalizations

Reference 42

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source=pdf_text observed=2026-08-09T11:11:45.258401Z digest=sha256:8a9915a5649732a7f240b797e0c2aac87535798b215229db78564cd72ddc50da

Observation 7b65ac70-1699-4737-b132-8135c746cea2 · outbound

This paper cites Near fairness in matroids.

Exploring Relations among Fairness Notions in Discrete Fair Division Near fairness in matroids

Reference 43

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source=pdf_text observed=2026-08-09T11:11:45.262819Z digest=sha256:26ca046264c56c5b2dfe0cf8f4142d384a39a73cd79188271e86bb021f6277b7

Observation 3357a789-05d7-4310-a04b-1bc59a46a9f3 · outbound

This paper cites Proportional allocation of indivisible goods up to the least valued good on average.

Exploring Relations among Fairness Notions in Discrete Fair Division Proportional allocation of indivisible goods up to the least valued good on average

Reference 44

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source=pdf_text observed=2026-08-09T11:11:45.267766Z digest=sha256:2e22ea9ea61cb255c29a958827382eeae8d08827c3d2482294d735a72550c785

Observation f3afc9e8-1c2f-4b5f-a220-c7f45db48340 · outbound

This paper cites Approximating APS under submodular and XOS valuations with binary marginals.

Exploring Relations among Fairness Notions in Discrete Fair Division Approximating APS under submodular and XOS valuations with binary marginals

Reference 45

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source=pdf_text observed=2026-08-09T11:11:45.272981Z digest=sha256:dab61092e4f8388876d9a8a7235b89aa4454daef2e786a44af3def13fd69b7bf

Observation 2b5b441a-a418-4cd5-b185-58d2f5561562 · outbound

This paper cites Procaccia, and Junxing Wang.

Exploring Relations among Fairness Notions in Discrete Fair Division Procaccia, and Junxing Wang

Reference 46

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source=pdf_text observed=2026-08-09T11:11:45.277445Z digest=sha256:f0ee0ff8a86849f3146a53131f8d9dec5d34a888361b447e4e42a89a820a718c

Observation 56deb6cc-d2a1-47a6-834d-9275a8c3763a · outbound

This paper cites Almost (weighted) proportional allocations for indivisible chores.

Exploring Relations among Fairness Notions in Discrete Fair Division Almost (weighted) proportional allocations for indivisible chores

Reference 47

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source=pdf_text observed=2026-08-09T11:11:45.281724Z digest=sha256:ec332d4ef558e319182cb544243051f78a16a8ee5e21011650364b5209f448fd

Observation 039e0048-1ab2-4566-a198-36d2f52c7d6e · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 48

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source=pdf_text observed=2026-08-09T11:11:45.286297Z digest=sha256:f9dfdf75b0c2d63140d9ed17fdec44d51b1676cbd3cf378e7e42c72b0eee2895

Observation 967daa91-4c3a-40cd-a3e3-6549f5bd7b52 · outbound

This paper cites Mixed fair division: A survey.

Exploring Relations among Fairness Notions in Discrete Fair Division Mixed fair division: A survey

Reference 49

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source=pdf_text observed=2026-08-09T11:11:45.290908Z digest=sha256:a0ca3ea4e79bdc18c9eac4cd66880c9fd13c2bebcaa67d8cd51a372fb90391e7

Observation b5e62cd0-1d8b-4664-8521-fc0d68ba9e05 · outbound

This paper cites (almost) envy-free, proportional and efficient allocations of an indivisible mixed manna.

Exploring Relations among Fairness Notions in Discrete Fair Division (almost) envy-free, proportional and efficient allocations of an indivisible mixed manna

Reference 50

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source=pdf_text observed=2026-08-09T11:11:45.295530Z digest=sha256:b4c74993da106f8e66a23aae66630d95084a59c4dd647169a8e393c4d2e2019b

Observation 30f61d98-6d44-4140-a9fb-2bb5d946a71a · outbound

This paper cites Existence of fair and efficient allocation of indivisible chores, 2025.

Exploring Relations among Fairness Notions in Discrete Fair Division Existence of fair and efficient allocation of indivisible chores, 2025

Reference 51

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arxiv_id, observed 2026-08-09T11:11:58.602807Z

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source=pdf_text observed=2026-08-09T11:11:45.300103Z digest=sha256:cf6578a73d5792a5c8c602c266539c0b32865f1ae2074e92aa48b6f13aa7f650

Observation 277dd8c2-c4ba-4e5e-a175-dc67d0e57283 · outbound

This paper cites Bidding and allocation in combinatorial auctions.

Exploring Relations among Fairness Notions in Discrete Fair Division Bidding and allocation in combinatorial auctions

Reference 52

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arxiv_id_nonexistent, observed 2026-08-09T11:11:56.097144Z

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source=pdf_text observed=2026-08-09T11:11:45.304962Z digest=sha256:474c9bc87c1f5bf0cb3954d52c43375d7c8001b409ba356f27720c2107888b5f

Observation 11f3d94b-913c-40d3-8a8b-b5db72f83d82 · outbound

This paper cites Almost envy-freeness with general valuations.

Exploring Relations among Fairness Notions in Discrete Fair Division Almost envy-freeness with general valuations

Reference 53

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source=pdf_text observed=2026-08-09T11:11:45.310303Z digest=sha256:6de4322873578073122eff6cf46d8661916be2c4015b55365e61edc130488285

Observation 666cc40a-fdb2-47c9-8694-27bb6a79ac7d · outbound

This paper cites cpigjs: Conditional predicate implication graph in JavaScript, and its appli- cation to fair division, 2024.

Exploring Relations among Fairness Notions in Discrete Fair Division cpigjs: Conditional predicate implication graph in JavaScript, and its appli- cation to fair division, 2024

Reference 54

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source=pdf_text observed=2026-08-09T11:11:45.314685Z digest=sha256:62f7498e1622c7eb8ad928e19aa76690642b36309605e4b9c8add48be7e0f739

Observation c9a8cc98-7e7a-4a15-8dd5-1ddb499eb1be · outbound

This paper cites Almost envy-free allocations of indivisible goods or chores with entitlements.

Exploring Relations among Fairness Notions in Discrete Fair Division Almost envy-free allocations of indivisible goods or chores with entitlements

Reference 55

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source=pdf_text observed=2026-08-09T11:11:45.318963Z digest=sha256:90e0dddd4026c54c8bfc969c0624551f83059ffb707ae60257e26ee3e0e59bd9

Observation 28b39aa6-1ff5-4891-9004-d054462de809 · outbound

This paper cites Steinhaus.

Exploring Relations among Fairness Notions in Discrete Fair Division Steinhaus

Reference 56

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source=pdf_text observed=2026-08-09T11:11:45.323073Z digest=sha256:b3132e82ea2350ed7633ab2f80a6f75b820e3724907d1ebd6debb73d1cdc0a81

Observation 00ba8681-b187-4a29-86b9-3b2d5311293f · outbound

This paper cites How to cut a cake fairly.

Exploring Relations among Fairness Notions in Discrete Fair Division How to cut a cake fairly

Reference 57

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source=pdf_text observed=2026-08-09T11:11:45.327503Z digest=sha256:548dc2eebeb8a006bf4e4e73e52171d9f59b2aca2b09c85359667bc62fc14b7a

Observation 36fcb572-6174-449b-a1d3-f04d84c5466f · outbound

This paper cites Equity, envy, and efficiency.

Exploring Relations among Fairness Notions in Discrete Fair Division Equity, envy, and efficiency

Reference 58

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source=pdf_text observed=2026-08-09T11:11:45.331882Z digest=sha256:2cee4509dcd92330d428747f4d3fbe580e7bf75826fcf3a36000103a364d7486

Observation 255ef3f3-cae9-47db-8d24-cbb8e8d31aa4 · outbound

This paper cites Equivalently, for every set S ⊆ M , we have u(S) = P j∈S u({j}).

Exploring Relations among Fairness Notions in Discrete Fair Division Equivalently, for every set S ⊆ M , we have u(S) = P j∈S u({j})

Reference 60

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Observation ca207a10-d21e-4b6f-8b6c-ba88c9f6e10e · outbound

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Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 61

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Observation 9b37dc92-c077-4e31-9637-b8db5585948f · outbound

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Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 62

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Observation 6bb9092e-3a97-4fb8-9870-1cac0f0055c3 · outbound

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Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 63

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Observation b0d81ef5-99ad-4588-a228-4999f9b576bf · outbound

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Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 64

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Observation 8d194c55-85ea-45fe-b7cd-5b97525527f3 · outbound

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Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 65

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Observation 4dd60ef2-fafc-4640-8c94-8c520df956dc · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 66

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source=pdf_text observed=2026-08-09T11:11:45.365718Z digest=sha256:0c582465070935642540594dccf39182324295becaecd7033a1ea7df3272fadb

Observation d4379313-b3b9-4433-bd30-5e8768140580 · outbound

This paper cites , ak, such that u(S) = maxk j=1 aj(S) for all S ⊆ M.

Exploring Relations among Fairness Notions in Discrete Fair Division , ak, such that u(S) = maxk j=1 aj(S) for all S ⊆ M

Reference 67

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source=pdf_text observed=2026-08-09T11:11:45.371362Z digest=sha256:6d5c87eeb317d02975ae87c7106adeda1314a80bae9d4e2242c66bb8204c6aae

Observation f1ce1788-8eb2-4793-a08c-6634842b1a68 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 68

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Observation bb0c7460-1bd1-4ef2-bbd9-cbc1f3c0bf49 · outbound

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Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 69

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source=pdf_text observed=2026-08-09T11:11:45.380396Z digest=sha256:4e7ec2a473ed0ce54e7e72e7a706a50bc22214c34a1d6cb8d8abe2787be320d8

Observation 68588e8f-1b96-42bf-8de7-438c6c469973 · outbound

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Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 70

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source=pdf_text observed=2026-08-09T11:11:45.384944Z digest=sha256:8d9394aa4ed561c1cf0e0b966bc35da84c4fcb070d2d6f4df5b0f7f02041227b

Observation bf852487-3ee3-4f02-9054-e8cc9ebc304b · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 71

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source=pdf_text observed=2026-08-09T11:11:45.389451Z digest=sha256:c09d48b51c0bd5c3e7e79f02fc830f483eb4b6f38223fe746758d00ed55bd648

Observation cbed1ae0-2160-4198-8422-b2608d07a61e · outbound

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Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 72

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source=pdf_text observed=2026-08-09T11:11:45.393874Z digest=sha256:1e52c94b7bc4a39868aa75a96bc61ab64ff7119d49f15811b5cf8c7e226733dd

Observation 3c20339d-84d0-4afb-ae14-ac4f3d67af16 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 73

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source=pdf_text observed=2026-08-09T11:11:45.398258Z digest=sha256:1271236c886543875f618eae766174c593f68b9c6d2972e3b354ca3d889d30ba

Observation f12b3ad6-d22a-45b2-ad71-51bd3559919e · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 74

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source=pdf_text observed=2026-08-09T11:11:45.402661Z digest=sha256:ede926f697b9bdda908340810bc32e5b1092af85032f59ba8ec43b5c14f17247

Observation 5cc0d057-b5b2-47b8-a6ee-5ae8b14d4cc8 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 75

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source=pdf_text observed=2026-08-09T11:11:45.407952Z digest=sha256:5fd0d309f20d80a37a1daa8cd5cc674c63efe3797a0d0c123df5504c277d623d

Observation 5128448d-f963-42c0-ac1e-15febca18a60 · outbound

This paper cites This definition also hints towards how to handle goods with non-additive valuations.

Exploring Relations among Fairness Notions in Discrete Fair Division This definition also hints towards how to handle goods with non-additive valuations

Reference 76

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source=pdf_text observed=2026-08-09T11:11:45.412401Z digest=sha256:a71a284c26f04cc3128e68b3a30618c7697604be9315c4137d34d6e45242e648

Observation a9bac8ce-ca05-430b-9978-b427590c3cab · outbound

This paper cites Definition 15 (APS (dual)).

Exploring Relations among Fairness Notions in Discrete Fair Division Definition 15 (APS (dual))

Reference 77

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source=pdf_text observed=2026-08-09T11:11:45.417433Z digest=sha256:0cf39e12802c3c7c65fc30b855f229da3bb78086aacc282771a1be4b0a112967

Observation ef2e946f-5ba5-4ddc-9cc5-31dfcadcb304 · outbound

This paper cites They prove this only for goods, but their proof can be easily adapted to the case of mixed manna.

Exploring Relations among Fairness Notions in Discrete Fair Division They prove this only for goods, but their proof can be easily adapted to the case of mixed manna

Reference 78

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source=pdf_text observed=2026-08-09T11:11:45.421982Z digest=sha256:9e6f0b4b2d307878c0d735622629449a98db4fa2971d82c8138dc0c2ca0b99df

Observation c9bc807c-b6e3-4b04-bed0-0a900529268c · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 79

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source=pdf_text observed=2026-08-09T11:11:45.426410Z digest=sha256:248a77516d5e10187173dfc595f3ba9e06d31a097e9a7bb4b83136434db98c8b

Observation 17bdc364-93e0-4420-8471-0537bcc86a5b · outbound

This paper cites We identify special cases where our definition of PROPx (Definition 16) is equivalent to well- known definitions of PROPx under those special cases.

Exploring Relations among Fairness Notions in Discrete Fair Division We identify special cases where our definition of PROPx (Definition 16) is equivalent to well- known definitions of PROPx under those special cases

Reference 80

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source=pdf_text observed=2026-08-09T11:11:45.430859Z digest=sha256:071f298b8bc646114ac36c1e459d3bc6b0da8e8bb5d8b1692c009560bd4fdb11

Observation bb231f34-f665-402b-a198-286983e700d8 · outbound

This paper cites Intuitively, each agent should get 1 good each, and that should be considered fair.

Exploring Relations among Fairness Notions in Discrete Fair Division Intuitively, each agent should get 1 good each, and that should be considered fair

Reference 81

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source=pdf_text observed=2026-08-09T11:11:45.435381Z digest=sha256:19e3d0a592afb5b24f8af1ea13088c5463b6db9f6cb86628ef838f8f6ec39566

Observation 4487f11b-3e0d-44ad-990e-ff433e8e07a1 · outbound

This paper cites Intuitively, the allocation ({−1000, 10, 1}, {−1000}, {−1000}) should not be fair, and the allocation ({−1000, 10}, {−1000, 1}, {−1000}) should be fair.

Exploring Relations among Fairness Notions in Discrete Fair Division Intuitively, the allocation ({−1000, 10, 1}, {−1000}, {−1000}) should not be fair, and the allocation ({−1000, 10}, {−1000, 1}, {−1000}) should be fair

Reference 82

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source=pdf_text observed=2026-08-09T11:11:45.439472Z digest=sha256:05d2c09c3cfe302397a754218f759a7315146bccac47e5fb087891a73875bbb1

Observation da1fd309-6464-4cd3-b799-3ce34cf45d31 · outbound

This paper cites ∀(I, A) ∈ Ω, for every agent i in I, A is F2-fair to i whenever A is F1-fair to i.

Exploring Relations among Fairness Notions in Discrete Fair Division ∀(I, A) ∈ Ω, for every agent i in I, A is F2-fair to i whenever A is F1-fair to i

Reference 83

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Observation b1abb692-6997-4d8f-933f-64b710b8b20d · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 84

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Observation 9deeedb3-b332-48ee-83e3-847566586bff · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 85

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source=pdf_text observed=2026-08-09T11:11:45.451938Z digest=sha256:ff81ce7fde7c0d7ae7946166290c39f678d98e639c448f49a77d5a9297388412

Observation fb389f8a-1ea6-4b66-b093-1a50cc8361e4 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 86

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source=pdf_text observed=2026-08-09T11:11:45.456208Z digest=sha256:77a4b98f24d3bf3912c2a94220f57d53c75c0dfe3112cb091bc2d030e8ad513b

Observation b2c5205d-445b-4b09-bda2-bf882fce23d7 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 87

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Observation 7e89adfd-898a-4c58-b94a-aaf2a56b838a · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 88

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source=pdf_text observed=2026-08-09T11:11:45.466039Z digest=sha256:b14da6fb08445c13e733945413bf3752b5a385a9aec2037424e303db99e2951f

Observation 2de0c272-e32d-43cd-9fb8-02510ce0d523 · outbound

This paper cites Algorithm 1 improvei(Z): Here Z is an allocation for the fair division instance ([ n], G∪ C, (vj)n j=1, w).

Exploring Relations among Fairness Notions in Discrete Fair Division Algorithm 1 improvei(Z): Here Z is an allocation for the fair division instance ([ n], G∪ C, (vj)n j=1, w)

Reference 89

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source=pdf_text observed=2026-08-09T11:11:45.470547Z digest=sha256:5fb40675047b46ba1033ff3364d5a5f35c7aab820f1c781001107299c9b00f21

Observation d309de29-aca3-4447-8df9-06559444454e · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 90

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Observation f8a5272e-3e58-42e4-b318-d7de0c8cd3fc · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 91

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source=pdf_text observed=2026-08-09T11:11:45.479500Z digest=sha256:a1cfc5a0af322e0d09b96020d144c14b8ada5e3cf0db5515cf54d45b3cd63c68

Observation d279843b-e87e-42b6-98cb-4200ed6a73c8 · outbound

This paper cites The first invariant ensures that bB is also EFX-fair to agent 1.

Exploring Relations among Fairness Notions in Discrete Fair Division The first invariant ensures that bB is also EFX-fair to agent 1

Reference 92

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Observation 9c833e75-ce1c-482a-987e-bcd8bf39d37d · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 93

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Observation 389c7a7b-ae8c-4013-8884-f7ae2ebda2e1 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 94

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Observation ccd482a6-1b2b-43b9-a1aa-b1c794bbbfda · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 95

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Observation e4fce936-56e1-45a0-9257-ece328dbd9b8 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 96

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Observation a6d6fc60-c2ba-4c15-bd7b-4d56beaa47d8 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 97

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source=pdf_text observed=2026-08-09T11:11:45.505524Z digest=sha256:08fb1961d47e32f2f8cac667f0cae0969b111bf8f5dac6a7077dc025e303a78c

Observation 3a8ad0e6-cd60-4bba-b392-af74029baa16 · outbound

This paper cites Definition 17 for the definition of T ).

Exploring Relations among Fairness Notions in Discrete Fair Division Definition 17 for the definition of T )

Reference 98

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source=pdf_text observed=2026-08-09T11:11:45.509937Z digest=sha256:5d7a7b8e2fa411051ad8a20e1ed3f565c5789723b1df1ddba0320421ae73a5ff

Observation 0d1be43d-3b78-4e0d-a647-7b51bb1bb1b2 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 99

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source=pdf_text observed=2026-08-09T11:11:45.516341Z digest=sha256:d4c77e0f2b501e19d75708170b9eef3098adb01a8aeab25cf263ee8eead31700

Observation acabee29-acdc-45b6-84b7-b23ea2bd7b44 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 100

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source=pdf_text observed=2026-08-09T11:11:45.520623Z digest=sha256:e0e1c1266e80636c5a77012892fe3529b8bb3bbbd0e40f73fd24d498365d8d3e

Observation fce1de5d-27d4-46c9-a0f0-a6a108f47e52 · outbound

This paper cites an unresolved cited work.

Exploring Relations among Fairness Notions in Discrete Fair Division Unresolved cited work

Reference 101

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source=pdf_text observed=2026-08-09T11:11:45.524786Z digest=sha256:f2b4509e1af6c74f4d85b08250850bcfb5837d4253cdae4d75b4226923b84734

Pith citing papers

Observation 7d541d50-2890-4b0b-b4d4-2bcef3e32610 · inbound

Probing EFX via PMMS: (Non-)Existence Results in Discrete Fair Division cites this paper.

Probing EFX via PMMS: (Non-)Existence Results in Discrete Fair Division Exploring Relations among Fairness Notions in Discrete Fair Division

Reference 55

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Observation 0a7da8a8-8da9-4f05-92dc-b8978bfcec47 · inbound

An Axiomatic Analysis of Proportionality Notions in Approval-Based Multiwinner Voting cites this paper.

An Axiomatic Analysis of Proportionality Notions in Approval-Based Multiwinner Voting Exploring Relations among Fairness Notions in Discrete Fair Division

Reference 20

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arxiv_id, observed 2026-07-09T02:19:35.916570Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-05-08T17:05:00.576761Z digest=sha256:be108b3c91d634e5a72c8eadfea6489bb0c39fbd9e9c417f052e98c42287c786

Observation d1051170-ebd5-4a28-ab93-cdb91bedfd5e · inbound

Epistemic Pairwise Maximin Share cites this paper.

Epistemic Pairwise Maximin Share Exploring Relations among Fairness Notions in Discrete Fair Division

Reference 32

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arxiv_id, observed 2026-07-09T02:19:35.916570Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-26T18:58:10.358921Z digest=sha256:5cc108f313752dd0f2e23ff7cdf9e372a22649b92f05c4929e5bdc759a6fe07f

Observation d82059b8-9cb6-495e-a9b7-be6de812ab9b · inbound

A Polynomial-Time Rule Satisfying Full Justified Representation cites this paper.

A Polynomial-Time Rule Satisfying Full Justified Representation Exploring Relations among Fairness Notions in Discrete Fair Division

Reference 24

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source=arxiv_source observed=2026-08-08T14:09:00.535593Z digest=sha256:77b5f1dfa4c005323a67ac6c3631f008d99128afd085aca7ffc78e8c0bba0c03