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Paper Citation Record · LEDGER

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions

As of 18 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.21727.

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

pith.paper-citation-record.v1
2506.21727 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:34:51.187336Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

34 of 34 outbound references displayed

  • verified exact0
  • verified fuzzy27
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa469376-5477-462d-ae49-c2a2aa9cb0f5 · outbound

This paper cites The probabilistic method.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions The probabilistic method

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T22:34:48.077290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:34:48.077290Z digest=sha256:9bd4839416aaceb2ad963928cb897bbf0e71e24c11a55738dd9b9682dd50c09e

Observation c1157202-231b-4005-abd2-5e0326da1e44 · outbound

This paper cites Voudouris, and Xiaowei Wu.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Voudouris, and Xiaowei Wu

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:57.361839Z

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.

source=arxiv_source observed=2026-08-06T22:34:48.166684Z digest=sha256:de09d370eab56113133e3ffad1356e368975e4a616e1a03e7d0f1d623c641e10

Observation 3be9dbee-557f-4687-9d35-b35b78996c92 · outbound

This paper cites Computational social choice: Some current and new directions.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Computational social choice: Some current and new directions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:57.198755Z

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.

source=arxiv_source observed=2026-08-06T22:34:48.319585Z digest=sha256:e1bb20ec9bac069513fc690d50a99b3dca5d2247e25f009615ee25cdef9bf053

Observation 737451de-998f-46a9-8b60-93cb5ad29997 · outbound

This paper cites Algorithmic fair allocation of indivisible items: A survey and new questions.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Algorithmic fair allocation of indivisible items: A survey and new questions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:57.046410Z

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.

source=arxiv_source observed=2026-08-06T22:34:48.462507Z digest=sha256:e45f95853df27daee15542475e517c0a8bd11f1fd68c60e6f16401b6ae9f8167

Observation fc98cdd6-619c-49e6-abca-33813bd74022 · outbound

This paper cites Almost Group Envy-free Allocation of Indivisible Goods and Chores.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Almost Group Envy-free Allocation of Indivisible Goods and Chores

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T22:34:48.591282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:34:48.591282Z digest=sha256:57fc738cd32f1b50aa629e2e51b4b6aca67f39d896c42cc3305001c522f2fc60

Observation 04ecd8f7-5f0b-4c61-aef9-3c52194dbb47 · outbound

This paper cites Fair division with market values.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Fair division with market values

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:56.890990Z

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.

source=arxiv_source observed=2026-08-06T22:34:48.720524Z digest=sha256:cf2ad3de00f2b408d0d14c552425b3cbe6d37844dc8c68fd8bd33dca5c4e2b79

Observation 2c8952db-4fec-4a7b-bc36-fa745c5a05f4 · outbound

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

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions On the fair division of a heterogeneous commodity

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:56.667530Z

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.

source=arxiv_source observed=2026-08-06T22:34:48.859723Z digest=sha256:adb11093e4d2c1ad77d11d180f4cb22047cc5d27d07b4f75b57991de3604fe77

Observation 51719bf8-1b44-440f-b9de-d3c8dbf8fab7 · outbound

This paper cites Introduction to linear optimization , volume 6.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Introduction to linear optimization , volume 6

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:56.495118Z

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.

source=arxiv_source observed=2026-08-06T22:34:48.925265Z digest=sha256:fd05c401ca79cdc5176d6972c83d2bd1a79086dab45d10a164e61a6de8785e8d

Observation 1c2f5a6e-e0c5-4c9b-a050-3634b2a4b9ee · outbound

This paper cites An envy-free cake division protocol.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions An envy-free cake division protocol

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:56.282412Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.058716Z digest=sha256:3200802a3a2f01b1b3ab86e3042e517f3749d4d6b599d8c91ae3c87683f6de9a

Observation 85dde525-d8e7-4475-9fed-7f2d3e777eab · outbound

This paper cites Fair division with allocator's preference.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Fair division with allocator's preference

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:56.126695Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.154179Z digest=sha256:3f539c17744bb868d6fbe6bf0f48e85f23c01b9e71761fe50e13001c79912ce0

Observation f37fdae6-ae42-4164-9c1a-e4dac49bbebd · outbound

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

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions A new lower bound for multi-color discrepancy with applications to fair division

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T22:34:49.228226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:34:49.228226Z digest=sha256:19ac027803de32fef28f25dee221e70a30e2ddc278abcd63ac453aa38b651d65

Observation 5c1d259c-5ace-4ca0-b292-228a21a9bc8d · outbound

This paper cites Two-player envy-free multi-cake division.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Two-player envy-free multi-cake division

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:55.982792Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.302453Z digest=sha256:80f530d8dd0b3b46c95719ce0eedb510849436dfc9bbd446f385d62a8a164247

Observation 284abc5b-89b5-4bc6-a7cf-c4ac1bb88eb1 · outbound

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

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Group fairness for the allocation of indivisible goods

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:55.902248Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.390317Z digest=sha256:849a9af859da173519985dbd2fd052a5356c2cb684204606b0ab618ef47a67e1

Observation 3fd4e7a9-faaa-4acf-a217-2e924404d257 · outbound

This paper cites Fair division with social impact.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Fair division with social impact

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:55.682534Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.476603Z digest=sha256:7147fede78a84187638b68e3f5c03605c0a77c02a50b80f448f6d703a66566bf

Observation e004045d-024c-485f-af46-57191bba59d9 · outbound

This paper cites Resource allocation and the public sector.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Resource allocation and the public sector

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:55.447167Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.531867Z digest=sha256:8bfc41a877b4f1a422fe8c86cdff0ade88510d3abf0f5e347bc0aecee408ba4a

Observation f1c99b83-85e5-423e-abe3-5b9638f2c638 · outbound

This paper cites Computers and intractability , volume 174.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Computers and intractability , volume 174

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T22:34:49.605158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:34:49.605158Z digest=sha256:7f938658931ef29e633b36a14cba4345ad14ce56dc41fd88ad76216765ae8996

Observation c2ed5dfb-9493-4ded-8747-f9fbfb9b99a7 · outbound

This paper cites Fair division of time: Multi-layered cake cutting.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Fair division of time: Multi-layered cake cutting

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:55.192638Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.695453Z digest=sha256:80e1d0280ef96fda10e7ce76bbb7d13a5c7d24f03689c85872b382bc1d555581

Observation d0f73888-3b25-46f5-b897-588dfcb33afc · outbound

This paper cites One and done? equality of opportunity and repeated access to scarce, indivisible medical resources.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions One and done? equality of opportunity and repeated access to scarce, indivisible medical resources

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:54.935658Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.755929Z digest=sha256:d0cadd61a418a7e4bf6c20f604ef6cfe704f88be85e015553d40228477ce942b

Observation 25e2b820-d7be-4274-bf1c-558d468c8b11 · outbound

This paper cites Envy-free division of multi-layered cakes.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Envy-free division of multi-layered cakes

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:54.680414Z

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.

source=arxiv_source observed=2026-08-06T22:34:49.845886Z digest=sha256:97625db5865b2c4097c05a02df8c6772a1ecaea1bd8716439ec04ed44efc5e35

Observation 12fa6743-c29d-41ab-97be-5c31ac22dacf · outbound

This paper cites Resource Allocation under the Latin Square Constraint.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Resource Allocation under the Latin Square Constraint

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T22:34:49.939085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:34:49.939085Z digest=sha256:101df08ee1f56fdcc68d3d5dad2a48691696428f3505bbd3a56cc1ff0625809f

Observation f07f3b4c-e297-40f4-b628-8a64e1b649a6 · outbound

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

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Almost envy-freeness in group resource allocation

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:54.449833Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.013192Z digest=sha256:0bfa289f244a81ed25a9eb8bc270616b99927a9c3e2f18994c7d137d0a64d5bb

Observation c3d6aeee-120a-4437-a6a4-d7ca3554dba9 · outbound

This paper cites Envy-free two-player mm-cake and three-player two-cake divisions.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Envy-free two-player mm-cake and three-player two-cake divisions

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:54.195213Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.095440Z digest=sha256:860f0fc966751d6c22f00f1fcc2ea6d70306dd7d3cc07f6a1e87ca427d4eeaeb

Observation 01ea74fb-03de-4482-9ccc-ab1445a1b5e9 · outbound

This paper cites On approximately fair allocations of indivisible goods.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions On approximately fair allocations of indivisible goods

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:53.985927Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.188007Z digest=sha256:93d4772e4129830849de1546629135f46b866fe893e54b10877ac48b1e5eb66e

Observation 530aafa7-fa57-47c5-9bae-146cdce0dd39 · outbound

This paper cites Tight lower bound for multicolor discrepancy.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Tight lower bound for multicolor discrepancy

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T22:34:50.288806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:34:50.288806Z digest=sha256:20877ddb144ceef3f2e71efe9b6aeb1f572b2a7156b9a13b3869f5b18eb7dcf2

Observation 5cef6723-1344-4f99-9a9a-4426c47bb3a3 · outbound

This paper cites Asymptotic existence of fair divisions for groups.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Asymptotic existence of fair divisions for groups

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:53.766089Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.376117Z digest=sha256:9132693d4976459600975660600bae86cd55882befc1db8fa60f6fd82ecd8461

Observation 0018a47c-67f7-4e8e-a583-c236f39ec81b · outbound

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

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Almost envy-freeness for groups: Improved bounds via discrepancy theory

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:53.532777Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.454019Z digest=sha256:c74945549fdb203c2749d268002ce14fb07daee72ce8a6369a7f7dd1b589ca24

Observation 3e76c9f7-3b85-42a3-afeb-3eefea45008f · outbound

This paper cites On the fair allocation of indivisible goods.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions On the fair allocation of indivisible goods

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:53.280029Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.557813Z digest=sha256:db95695ab4f24db76f4e61416cdb57d0d2a99a40873e159219ed0fc58fd0ebdb

Observation f2564327-bc54-4af3-b653-6c12517895a7 · outbound

This paper cites Fair division with multiple pieces.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Fair division with multiple pieces

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:53.007455Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.648402Z digest=sha256:5b09334697c74f38660337d465fd61ea114b600a6410f2fa27a84a5fa2cb0849

Observation 3cef5693-8551-42b7-8e8a-61bd2d719cef · outbound

This paper cites Allocating indivisible resources affording external economies or diseconomies.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Allocating indivisible resources affording external economies or diseconomies

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:52.788009Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.739379Z digest=sha256:f5060a073bec8c3529d85c624325f7b80b4c9e21700a02f71715384d054b9b7c

Observation cd462561-aa3d-4bf8-97f4-8b56184f4b97 · outbound

This paper cites The complexity of satisfiability problems.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions The complexity of satisfiability problems

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-06T22:34:50.815271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:34:50.815271Z digest=sha256:5c80fb913e7989a88a28405c94bb19ae0099dd8b5ecbfc16c01ed0b2d884db79

Observation bceb0910-4fc3-40a6-92e9-aa594d444671 · outbound

This paper cites Fair cake-cutting among families.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Fair cake-cutting among families

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:52.496063Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.892792Z digest=sha256:1f2b0a326ebdd349f54a47fb3fe23d2ff3badf5f1cc8dfeb4f7aa2e51f216f0b

Observation 1bacd054-a487-4405-98d2-4c59634bc869 · outbound

This paper cites Democratic fair allocation of indivisible goods.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Democratic fair allocation of indivisible goods

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:52.218085Z

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.

source=arxiv_source observed=2026-08-06T22:34:50.988783Z digest=sha256:4ea73c92acdb2b86caf912714c8b784292c3cb4db0daa7c4209efb6dba3b9ae1

Observation 6e0755e1-2584-49fa-a610-1a615c34a998 · outbound

This paper cites Approximate maximin shares for groups of agents.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions Approximate maximin shares for groups of agents

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:51.907290Z

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.

source=arxiv_source observed=2026-08-06T22:34:51.068829Z digest=sha256:238a49d39cb1d81ddac0ccb0d9dc342e43fbfb0e4bab2e2471e9d5257721c39b

Observation 0a9a096c-bbb8-4d3d-89d8-cc487925c036 · outbound

This paper cites On the number of almost envy-free allocations.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions On the number of almost envy-free allocations

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:34:51.564142Z

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.

source=arxiv_source observed=2026-08-06T22:34:51.187336Z digest=sha256:9e395be111a32cb06d21c1510190705ef0fd8b43e8f75e367d077a430b94972b

Pith citing papers

No inbound Pith citation observations are available.