Paper Citation Record · LEDGER

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness

As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2506.12950.

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

pith.paper-citation-record.v1
2506.12950 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:58:08.060909Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

31 of 31 outbound references displayed

verified exact0
verified fuzzy26
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e39d3e41-80e3-4cd6-b903-4d3fca7124a5 · outbound

This paper cites An improved envy-free cake cutting protocol for four agents.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness An improved envy-free cake cutting protocol for four agents

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:12.610821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 28bfe33f-1a73-4604-95e6-9dc28069f68b · outbound

This paper cites Splitting necklaces.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Splitting necklaces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:12.397184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4bd0b6d4-6075-47d9-870e-f85489d0531b · outbound

This paper cites A discrete and bounded envy-free cake cutting protocol for any number of agents.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness A discrete and bounded envy-free cake cutting protocol for any number of agents

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:12.204133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7c1579a3-2032-4709-bf88-37d0d964ffcf · outbound

This paper cites A discrete and bounded envy-free cake cutting protocol for four agents.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness A discrete and bounded envy-free cake cutting protocol for four agents

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:11.984933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0f8ea8a5-e37c-4e75-9787-73921d9e043a · outbound

This paper cites Almost group envy-free allocation of indivisible goods and chores.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Almost group envy-free allocation of indivisible goods and chores

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:11.843192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d7a3f1da-182d-402b-bfdd-cf36d27a73ba · outbound

This paper cites A dictatorship theorem for cake cutting.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness A dictatorship theorem for cake cutting

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:11.652603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6498a3ae-6cc4-4307-9559-f9ecc3e635cf · outbound

This paper cites The query complexity of cake cutting.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness The query complexity of cake cutting

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:11.492458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b7a5d820-d6bc-468b-ba85-28d4794f50d8 · outbound

This paper cites On the fair division of a heterogeneous commodity.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness On the fair division of a heterogeneous commodity

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:06.523821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e18904c7-e90c-4bae-a4db-aae7ace58886 · outbound

This paper cites The complexity of cake cutting with unequal shares.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness The complexity of cake cutting with unequal shares

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:11.306515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2cbe50f9-a4da-4f02-aea0-8c4babfb649b · outbound

This paper cites Group fairness for the allocation of indivisible goods.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Group fairness for the allocation of indivisible goods

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:11.116029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 408b62c6-f933-4748-905d-2f7d4cd1473a · outbound

This paper cites A new lower bound for multi-color discrepancy with applications to fair division.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness A new lower bound for multi-color discrepancy with applications to fair division

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:06.764952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1142b1a-37cb-40e2-b74c-b39e24a1fec1 · outbound

This paper cites On the computability of equitable divisions.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness On the computability of equitable divisions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:10.931695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3b6f0e88-ba76-4f12-bc68-18c9a1df1e47 · outbound

This paper cites How to cut a cake fairly.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness How to cut a cake fairly

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:10.732614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b415a1a2-708e-4b12-a5e7-4f7f45708ce2 · outbound

This paper cites A note on cake cutting.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness A note on cake cutting

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:10.547192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7301a1b5-0e69-415e-85d0-26782e83d055 · outbound

This paper cites Balanced allocations of cake.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Balanced allocations of cake

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:10.392991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 06a8ebb8-5429-49de-b79f-38a4bb2ff72f · outbound

This paper cites Cake cutting really is not a piece of cake.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Cake cutting really is not a piece of cake

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:10.165031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1fef19be-a76d-4e33-aedc-a1f577012f2b · outbound

This paper cites On allocations that give intersecting groups their fair share.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness On allocations that give intersecting groups their fair share

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:07.265963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a3ef682-4d2a-4676-85b0-4f6f2dbf2016 · outbound

This paper cites A theory of a heterogeneous divisible commodity exchange economy.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness A theory of a heterogeneous divisible commodity exchange economy

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:09.977716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c7c1ea63-1a9c-4ccd-8f89-ec93bab7a5de · outbound

This paper cites Almost envy-freeness in group resource allocation.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Almost envy-freeness in group resource allocation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:07.383437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52f62daa-fc4a-482a-8908-0f6aa2910b5a · outbound

This paper cites Sur les fonctions-vecteurs completement additives.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Sur les fonctions-vecteurs completement additives

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:09.759721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8891774f-c71d-46e1-bc70-55dc78fc04b1 · outbound

This paper cites Almost envy-freeness for groups: Improved bounds via discrepancy theory.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Almost envy-freeness for groups: Improved bounds via discrepancy theory

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:09.569838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 376d0ec7-fd15-4578-8091-13f97b77b818 · outbound

This paper cites Thou shalt covet thy neighbor's cake.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Thou shalt covet thy neighbor's cake

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:09.337019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8eba4e81-7433-4f36-aa13-1501cf54988a · outbound

This paper cites A lower bound for equitable cake cutting.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness A lower bound for equitable cake cutting

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:09.193689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 41492df2-b142-436b-b29c-a9ac4b9922dc · outbound

This paper cites Cake-cutting algorithms: Be fair if you can.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Cake-cutting algorithms: Be fair if you can

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:09.101996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d09e5182-5b71-4748-91e0-e795586d6c81 · outbound

This paper cites Fair cake-cutting among families.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Fair cake-cutting among families

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:08.931148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e141d24d-4e03-4c14-8792-e4598f901fd2 · outbound

This paper cites How to cut a cake fairly: A generalization to groups.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness How to cut a cake fairly: A generalization to groups

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:08.780769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 68c0ca1d-f6d6-48c2-bb8d-af00e660a513 · outbound

This paper cites Cutting a cake fairly for groups revisited.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Cutting a cake fairly for groups revisited

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:08.606397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 242b0660-bfe0-43f9-a641-26b4abd613c6 · outbound

This paper cites The problem of fair division.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness The problem of fair division

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:07.909103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c182377c-878c-45ca-b60f-bfd08d0ae826 · outbound

This paper cites For one and all: Individual and group fairness in the allocation of indivisible goods.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness For one and all: Individual and group fairness in the allocation of indivisible goods

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:08.455503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9c9a4759-ff6e-4bc5-99d3-0bd83052e0a3 · outbound

This paper cites Hugo Steinhaus.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness Hugo Steinhaus

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:08.316453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c9783773-da96-4ae8-a72a-e2b34560fa74 · outbound

This paper cites On the complexity of cake cutting.

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness On the complexity of cake cutting

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:08.217931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.