Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T00:58:08.060909Z
Paper Citation Record · LEDGER
On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness
As of 18 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.