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Paper Citation Record · LEDGER

Almost and Approximate EFX for Few Types of Agents

As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 4 inbound Pith citation observations for arXiv:2508.15380.

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

pith.paper-citation-record.v1
2508.15380 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:09:07.118693Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:31:27.792806Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:59:55.417416Z

Reference resolution

29 of 29 outbound references displayed

  • verified exact3
  • verified fuzzy11
  • unresolved12
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18211c28-f81c-4533-b674-6515cd6b0385 · outbound

This paper cites EFX: A Simpler Approach and an (Almost) Optimal Guarantee via Rainbow Cycle Number.Operations Research, 73(2):738–751, March 2025.

Almost and Approximate EFX for Few Types of Agents EFX: A Simpler Approach and an (Almost) Optimal Guarantee via Rainbow Cycle Number.Operations Research, 73(2):738–751, March 2025

Reference 1

Resolution
verified exact
raw_fallback, observed 2026-08-05T18:09:08.529351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:03.248106Z digest=sha256:b8149b691acc1abda236c718d545793aa05e1eae5babbae17e2307a7fa5abb21

Observation b8a339af-70c9-4d07-a233-4a3c6c71cb6d · outbound

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

Almost and Approximate EFX for Few Types of Agents Multiple birds with one stone: Beating 1/2 for EFX and GMMS via envy cycle elimination

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:03.375279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:03.375279Z digest=sha256:5ae5ec11421ef9d82505acb71cb47139590f8cbdee626050f2e3cad0ae0c4b3d

Observation 792274a1-cd11-490e-b7d8-cfae4352d74d · outbound

This paper cites Maximum nash welfare and other stories about efx.

Almost and Approximate EFX for Few Types of Agents Maximum nash welfare and other stories about efx

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:12.189610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:03.488203Z digest=sha256:8f3cfd7be3642d129988fb5e2c9ff4d44c2d86f1451220d9b8a798a16a07eadb

Observation 58a80191-55ce-4239-bb63-6cac5fa7964c · outbound

This paper cites Fair division of indivisible goods: Recent progress and open questions.Artificial Intelligence, 322:103965, 2023.

Almost and Approximate EFX for Few Types of Agents Fair division of indivisible goods: Recent progress and open questions.Artificial Intelligence, 322:103965, 2023

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:11.907349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:03.639523Z digest=sha256:5c030692846239b7c0494f0b1590e479b3e65a5b6fcaeea88380a42b40acb070

Observation 910a366e-e600-4cf3-94df-5661f49dae88 · outbound

This paper cites Pushing the Frontier on Approximate EFX Allocations.

Almost and Approximate EFX for Few Types of Agents Pushing the Frontier on Approximate EFX Allocations

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:11.755041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:03.717567Z digest=sha256:2f777e69157d07cfca4c2dcbb5fc5361802f25928b66a8bc8f441eb9bb337650

Observation 10509633-e817-45ef-8d62-f62f6445f792 · outbound

This paper cites Fixed-Point Cycles and Approximate EFX Allocations.

Almost and Approximate EFX for Few Types of Agents Fixed-Point Cycles and Approximate EFX Allocations

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:04.032134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:04.032134Z digest=sha256:8efce0c6ea0f786474bafd6b673b0981d4492af861151966295018ad8b8b6268

Observation 0eadd82d-e0df-4f52-afac-9fc5f4551f75 · outbound

This paper cites Almost Full EFX Exists for Four Agents.

Almost and Approximate EFX for Few Types of Agents Almost Full EFX Exists for Four Agents

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:11.563000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:04.206765Z digest=sha256:b03f4dc9f857f111bb1c37d848a85297d804ee7ef437f73083820a975abb8dbc

Observation 6900047c-c46f-4ed7-8437-6e66fb3d3e21 · outbound

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

Almost and Approximate EFX for Few Types of Agents Procaccia, Nisarg Shah, and Junxing Wang

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:04.456638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:04.456638Z digest=sha256:e7082f441c975884f9bc54e81eb5bb31be57fb0f7c43626f25e58398d2d93870

Observation a4a1f619-5548-490b-ab90-f243de8f35a4 · outbound

This paper cites an unresolved cited work.

Almost and Approximate EFX for Few Types of Agents Unresolved cited work

Reference 9

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T18:09:08.181113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:03.846683Z digest=sha256:cf3abf998e786aac8c72c6d7af2615642cff8c4dc26cceb075a22d03ebf134ba

Observation 1766c238-2e09-4c2c-8a3d-99a0c57a70de · outbound

This paper cites A Little Charity Guarantees Almost Envy-Freeness.

Almost and Approximate EFX for Few Types of Agents A Little Charity Guarantees Almost Envy-Freeness

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:04.713014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:04.713014Z digest=sha256:9934cce534192300893c62b0a0327aa26c2e21e35a94e728e64d9ac9a640918f

Observation 313270c4-edc4-4bfe-bade-13ecfdbc2c42 · outbound

This paper cites Improving EFX Guarantees through Rainbow Cycle Number.

Almost and Approximate EFX for Few Types of Agents Improving EFX Guarantees through Rainbow Cycle Number

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:04.582732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:04.582732Z digest=sha256:1f3400a53a1dc2b19d93dbccf015ddace7ae1c4bdb914c02d88ef5408f699b91

Observation d734e756-12be-4038-8be4-333e9102fbc5 · outbound

This paper cites an unresolved cited work.

Almost and Approximate EFX for Few Types of Agents Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:11.140591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:04.977722Z digest=sha256:61ad7e1dc9f143efc327857be6b6623a5df3c225b207ebcbff08c4f4504c2abb

Observation 75a82140-a800-48f7-b3e4-f22ec5389bb1 · outbound

This paper cites EFX Exists for Three Agents.

Almost and Approximate EFX for Few Types of Agents EFX Exists for Three Agents

Reference 13

Resolution
malformed identifier
raw_fallback, observed 2026-08-05T18:09:11.340965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:04.836638Z digest=sha256:df55331127935b08fac17be91a279adfadccc591b6915accb34adc39c5628c61

Observation 4ff49773-47f7-4d7f-8bed-7b7235691f98 · outbound

This paper cites (Almost Full) EFX for Three (and More) Types of Agents.Proceedings of the AAAI Conference on Artificial Intelligence, 39(13):13889–13896, April 2025.

Almost and Approximate EFX for Few Types of Agents (Almost Full) EFX for Three (and More) Types of Agents.Proceedings of the AAAI Conference on Artificial Intelligence, 39(13):13889–13896, April 2025

Reference 14

Resolution
malformed identifier
no resolver link, observed 2026-08-05T18:09:05.260757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:05.260757Z digest=sha256:f76f4faf1f4895be3fdb8d1cfbc3d66dfc8495aaa800cbdc7f15062ae62b399f

Observation ff32744a-aeaa-4fbc-a463-d84db9746c6b · outbound

This paper cites Computing fair and efficient allocations with few utility values.

Almost and Approximate EFX for Few Types of Agents Computing fair and efficient allocations with few utility values

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:10.889635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:05.139367Z digest=sha256:bb7bdfa9efd8960c2a31341b0cc8a70733073d132f330740c41e797664c67c6c

Observation 4021d3e2-48e5-42ab-a610-4661becdb61b · outbound

This paper cites EFX Exists for Three Types of Agents, November 2024.

Almost and Approximate EFX for Few Types of Agents EFX Exists for Three Types of Agents, November 2024

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:10.665469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:05.567900Z digest=sha256:bec1460557bfaf28205f49378abbff4f222b9a5239c7e033ee261d8697308c24

Observation 00600813-129c-4fbf-b516-700ba40fae9f · outbound

This paper cites Fair allocation of a multiset of indivisible items.

Almost and Approximate EFX for Few Types of Agents Fair allocation of a multiset of indivisible items

Reference 17

Resolution
verified exact
doi, observed 2026-08-05T18:09:07.628665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:05.409707Z digest=sha256:06fb0ee9b7ea35a614b3225e9d5aaaac4f8e67d6bba565ffa29dd76693412c8e

Observation 5aa6fbbc-54f6-458c-992d-a09645458af7 · outbound

This paper cites Extension of Additive Valuations to General Valuations on the Existence of EFX.

Almost and Approximate EFX for Few Types of Agents Extension of Additive Valuations to General Valuations on the Existence of EFX

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:05.851989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:05.851989Z digest=sha256:ec50f204a563bccf09fceaf66e12ac43c5e0abbf943cf864fa2059dcc10301c2

Observation 71efdb95-21da-4ae4-a939-c67fbf80bbf6 · outbound

This paper cites an unresolved cited work.

Almost and Approximate EFX for Few Types of Agents Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-08-05T18:09:07.388753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:05.697418Z digest=sha256:970d642e4ef95af521f93b91cc34b4791b8d30980fff10f7d0a85ebeec0b72b9

Observation c7a838bc-9872-456b-bbf0-b757a30ff81f · outbound

This paper cites Almost Envy-Freeness with General Valuations.SIAM Journal on Discrete Mathematics, 34(2):1039–1068, January 2020.

Almost and Approximate EFX for Few Types of Agents Almost Envy-Freeness with General Valuations.SIAM Journal on Discrete Mathematics, 34(2):1039–1068, January 2020

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:06.140992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:06.140992Z digest=sha256:9bd755150ab2f0657c19ad99b9968bd2a0c45335fe7655219b4178d7e1c8441b

Observation bad036da-d996-4c33-a91c-867160f6f364 · outbound

This paper cites Improved EFX approximation guarantees under ordinal-based assumptions.

Almost and Approximate EFX for Few Types of Agents Improved EFX approximation guarantees under ordinal-based assumptions

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:10.473574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:05.960100Z digest=sha256:49c795559a18c8dbd823789f2c75b2d31cac593e980970d2501fa3ca69479ab3

Observation 1e16b38d-ddf1-4f32-8232-aa8b2f4fc492 · outbound

This paper cites Equity, envy, and efficiency.Journal of Economic Theory, 9(1):63–91, September.

Almost and Approximate EFX for Few Types of Agents Equity, envy, and efficiency.Journal of Economic Theory, 9(1):63–91, September

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:10.237498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:06.268121Z digest=sha256:4f7abfc04fd83b6244a9d2815e37c5e313eae83a3f1dfd616aabbe45b401b5e0

Observation 60ce1371-5be2-4954-a055-d788fe14253a · outbound

This paper cites an unresolved cited work.

Almost and Approximate EFX for Few Types of Agents Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:09.929112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:06.594042Z digest=sha256:9beb157aedbdf889ac3e3d51a6aa5fc2d5224a83e51e9071df442e9ac03b72b9

Observation 6e06f7b9-056d-48de-9c2a-5e407058b5c4 · outbound

This paper cites Furthermore, 𝑣𝑠(𝑋𝑖1) > 3 2 𝑣𝑠(𝑋𝑠), 𝑣𝑖1(𝑋𝑖2) > 3 2 𝑣𝑖1(𝑋𝑖1) and 𝑣𝑖2(𝑋𝑖3) > 3 2 𝑣𝑖2(𝑋𝑖2).

Almost and Approximate EFX for Few Types of Agents Furthermore, 𝑣𝑠(𝑋𝑖1) > 3 2 𝑣𝑠(𝑋𝑠), 𝑣𝑖1(𝑋𝑖2) > 3 2 𝑣𝑖1(𝑋𝑖1) and 𝑣𝑖2(𝑋𝑖3) > 3 2 𝑣𝑖2(𝑋𝑖2)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:09.617287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:06.709374Z digest=sha256:cf9ed04549bacc3d64c9a0e274ce5451fff982f54210ea21f565df7134f3949a

Observation ae11ea2b-9e97-404f-8eb2-add3c1c98dbc · outbound

This paper cites Therefore, (𝑖3, 𝑠) is a red edge in the enhanced envy graph𝐺e(𝑋).

Almost and Approximate EFX for Few Types of Agents Therefore, (𝑖3, 𝑠) is a red edge in the enhanced envy graph𝐺e(𝑋)

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:09.333310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:06.828515Z digest=sha256:b6fb6b46d805acd65bfddf270b628df6f7c8828a670db12974e287a4757c489c

Observation 156a8b3f-c135-4c20-beca-97558c0b12ac · outbound

This paper cites an unresolved cited work.

Almost and Approximate EFX for Few Types of Agents Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:09.051457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:06.984129Z digest=sha256:a961803785d53553dae093c75be4936c489e0fb49c23d8e0ab66faa36fbd65e4

Observation 790e8593-6d2d-4766-9b3f-b346a9629ab0 · outbound

This paper cites However,(𝑗ℓ, 𝑖2) is not a red edge in𝐺e(𝑋) as 𝑖2 is not a source vertex.

Almost and Approximate EFX for Few Types of Agents However,(𝑗ℓ, 𝑖2) is not a red edge in𝐺e(𝑋) as 𝑖2 is not a source vertex

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:08.803941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T18:09:07.118693Z digest=sha256:40e8a579dc6ff85b07d0f74002aac46fd9868dd0d2862fb6ce72c9ce621f6c3c

Observation dbc8e355-e14c-46a3-ba94-3006f4b64cc3 · outbound

This paper cites doi: 10.1016/0022-0531(74)90075-1.

Almost and Approximate EFX for Few Types of Agents doi: 10.1016/0022-0531(74)90075-1

Reference 1974

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:06.407996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:06.407996Z digest=sha256:fd08918b38877bd3b04bb10751fb1d3ccf860a4f4579a699c4664977763af395

Observation 4468e4f2-438d-4966-b99a-111934daf1db · outbound

This paper cites doi: 10.1609/aaai.v36i5.20410.

Almost and Approximate EFX for Few Types of Agents doi: 10.1609/aaai.v36i5.20410

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:04.317102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:09:04.317102Z digest=sha256:f5ab3ff83dfa3d0b10b4f871a0265fede34e32c72407478e196d7d348b02d069

Pith citing papers

Observation 110a9ea4-116e-4cb5-83bc-94dadf12a121 · inbound

Approximate Envy-Free Allocations up to any $k$ Goods cites this paper.

Approximate Envy-Free Allocations up to any $k$ Goods Almost and Approximate EFX for Few Types of Agents

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-12T06:21:24.744133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-05-12T04:23:34.005604Z digest=sha256:5064cef212beafa9860b1d073dc10aaecb9689418c0ee89ab08f9218595e2f0e

Observation 2bdb9c15-178d-4fdd-ada9-e8f765e5acce · inbound

Almost EFX in Hypergraphs cites this paper.

Almost EFX in Hypergraphs Almost and Approximate EFX for Few Types of Agents

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-07-04T14:59:55.418922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-26T02:04:40.488985Z digest=sha256:65bde52d73ae974b3d1dad2a3f0c73c74e16a096ae3b41c757a3b13a2af08561

Observation 59a2a041-0d21-4694-9f58-03936a773512 · inbound

A Linear Bound on the Rainbow Cycle Number and Approximate EFX cites this paper.

A Linear Bound on the Rainbow Cycle Number and Approximate EFX Almost and Approximate EFX for Few Types of Agents

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-31T00:23:29.181347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T00:23:29.181347Z digest=sha256:e271b4564854f5c09c135ed329b33f9e3677aa13265fe5a1b1ed237161c12a5e

Observation 3a941479-9ac7-4dd2-a7d8-7c811850c03a · inbound

A Simple Polynomial-Time EFX Repair for Cancelable Valuations cites this paper.

A Simple Polynomial-Time EFX Repair for Cancelable Valuations Almost and Approximate EFX for Few Types of Agents

Reference 2026

Resolution
unresolved
no resolver link, observed 2026-08-14T04:31:27.792806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:31:27.792806Z digest=sha256:a42d35bdecd5c39e474d6a245c5dac7489e852a49bdea26239b28435c4b554ed