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Paper Citation Record · LEDGER

Achieving Equitability with Subsidy

As of 9 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2505.23251.

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

pith.paper-citation-record.v1
2505.23251 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:06:34.307184Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy27
  • unresolved0
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fafe3df0-01c6-4fc5-88f8-a447e4979d1f · outbound

This paper cites Fair allocation of indivisible goods and criteria of justice.

Achieving Equitability with Subsidy Fair allocation of indivisible goods and criteria of justice

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.903016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.588783Z digest=sha256:3d233c9094cc2e09b1522e0db83c56ab0c985c6a44032a033607eff80977a354

Observation c3b55ee3-c121-4531-887d-01efee161913 · outbound

This paper cites Achieving envy-freeness and equitability with monetary transfers.

Achieving Equitability with Subsidy Achieving envy-freeness and equitability with monetary transfers

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.733984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.674645Z digest=sha256:bbe73784683191d23490f8269e2b291648b0bb0f90612c91185b6794b0be782f

Observation 8a60d455-e2f9-432d-ae24-4cd12b6397e4 · outbound

This paper cites Achieving envy-freeness with limited subsidies under dichotomous valuations.

Achieving Equitability with Subsidy Achieving envy-freeness with limited subsidies under dichotomous valuations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.553924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.787651Z digest=sha256:789c1ce74fd4dc118e702989ff22a6a45fd01e976f72e86f75649be4e4313dfd

Observation e2929ed8-14ea-49e7-ad7b-4d10ac9ac8fd · outbound

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

Achieving Equitability with Subsidy Existence and computation of maximin fair allocations under matroid-rank valuations

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.317775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.857207Z digest=sha256:cfd2b10d71a5d13832049b10d2802c97f98d8a357f50a7c9c5245ad1bf9158ee

Observation a5e41c86-cae1-4c35-9d53-661ab013759c · outbound

This paper cites Optimal bounds on the price of fairness for indivisible goods.

Achieving Equitability with Subsidy Optimal bounds on the price of fairness for indivisible goods

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.130386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.968731Z digest=sha256:50a0b04ee489bab25dedb693ae28e7bbe01f3726a44695176a7ad214b1a9eae1

Observation 66c8eb00-e40c-41e8-bd8f-2c9d25fbbd6a · outbound

This paper cites Nearly equitable allocations beyond additivity and monotonicity.

Achieving Equitability with Subsidy Nearly equitable allocations beyond additivity and monotonicity

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.949632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.037502Z digest=sha256:f44b5f242545ffcfd4eabcc952673de4ff04012b2fc16d2f688d26e5727ae8cd

Observation 0ca9eae6-9b10-4d20-a476-225cfe5a36cf · outbound

This paper cites Finding fair and efficient allocations for matroid rank valuations.

Achieving Equitability with Subsidy Finding fair and efficient allocations for matroid rank valuations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.776595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.112361Z digest=sha256:0390dc18588bd0c504bbb9749e27abd83bb1e4591ef4068070e5bbbf1e471e30

Observation d6acfaf6-a13e-4057-a03d-dd38577d418c · outbound

This paper cites Efficiency and envy-freeness in fair division of indivisible goods: Logical representation and complexity.

Achieving Equitability with Subsidy Efficiency and envy-freeness in fair division of indivisible goods: Logical representation and complexity

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.559099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.212467Z digest=sha256:eb52dca7f90d59175ba36fea0d576aa7ccc3acaec18a2d6efffb7345d27beecf

Observation c93d80c9-3429-4eba-b429-54a57beb1feb · outbound

This paper cites One dollar each eliminates envy.

Achieving Equitability with Subsidy One dollar each eliminates envy

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.378175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.289918Z digest=sha256:beca2ba506cd0ce285ca93bb2db29b59e7b0dbab854e6312957a74014af7bdf8

Observation 577960ba-5a38-44ef-8e01-b076d5f3443b · outbound

This paper cites Approximability landscape of welfare maximization within fair allocations.

Achieving Equitability with Subsidy Approximability landscape of welfare maximization within fair allocations

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.124267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.388639Z digest=sha256:89f08d854e32a1c23330d402a2cf519c0328096ed07bfe174ef98a0d1d11573d

Observation f30e7ecc-dff3-455e-9a21-9cb5a255afb7 · outbound

This paper cites Computing envy-freeable allocations with limited subsidies.

Achieving Equitability with Subsidy Computing envy-freeable allocations with limited subsidies

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.526811Z digest=sha256:6c9e26780c97c7ace5003e8d44fb06ce1310833aed167c4049972f94d5476e0b

Observation d102992a-0393-41e6-80d7-c7391910f027 · outbound

This paper cites The unreasonable fairness of maximum nash welfare.

Achieving Equitability with Subsidy The unreasonable fairness of maximum nash welfare

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:37.722315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.657878Z digest=sha256:75c841ee8102f8536470fcb0c48705d368677dad022ffa731340d226d16a2982

Observation bd9f18ac-2a6d-4d38-9e5c-ed290bd19c56 · outbound

This paper cites On interim envy-free allocation lotteries.

Achieving Equitability with Subsidy On interim envy-free allocation lotteries

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:37.553204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.768661Z digest=sha256:221126aa80e3388d1c7ebe5344f5f46f29646d44b75c31b9ce05c5ebcb4380f7

Observation 481f31f2-e1ac-40db-9dda-c74a92ff8497 · outbound

This paper cites Equitable allocations of indivisible goods.

Achieving Equitability with Subsidy Equitable allocations of indivisible goods

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:37.332343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.943244Z digest=sha256:f71a917e323292e8e2cba759135da8ddab5b11cdcfd8316f6400bd487cba9f54

Observation d7b5b626-a1e6-43a3-805b-5ec555e8bd79 · outbound

This paper cites Equitable allocations of indivisible chores.

Achieving Equitability with Subsidy Equitable allocations of indivisible chores

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:37.135233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.061140Z digest=sha256:924f8cd7cf411dda4c75c5236fd65d76ba77b1b673a53959dbfd3488df046a12

Observation a48fc32a-6c39-4e07-9970-96b744ac619c · outbound

This paper cites A fair and truthful mechanism with limited subsidy.

Achieving Equitability with Subsidy A fair and truthful mechanism with limited subsidy

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:36.855984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.198472Z digest=sha256:2ececb667a09d6e0de1532a0ae2b3be63bd26e31908f9c40bce74d5249543270

Observation 972de9ed-7e6c-4c0c-a2a2-b052d77c6710 · outbound

This paper cites Spliddit: Unleashing fair division algorithms.

Achieving Equitability with Subsidy Spliddit: Unleashing fair division algorithms

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:36.586669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.310776Z digest=sha256:5e4053cfeb1451d2800c9c440f4cbc16ddc785ec4e7ab12210138a1e8443f927

Observation 36d37b5d-8dbf-4aa6-b229-106d5f7adc20 · outbound

This paper cites Near fairness in matroids.

Achieving Equitability with Subsidy Near fairness in matroids

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:36.382483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.428363Z digest=sha256:5417dc19b27af577013dae7e5afc9202a3c035dd999387541b14d1d5e93f0de6

Observation ac3b2238-f3e4-4f37-b41d-47fed49d335a · outbound

This paper cites Fair division with subsidy.

Achieving Equitability with Subsidy Fair division with subsidy

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:36.202835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.546219Z digest=sha256:13960e922cd770cab92e3c805dad844e7c90b1898626bc0c2d079cbe12978982

Observation 086fa849-3624-44ba-b0ac-a29a416eca1e · outbound

This paper cites Envy freeness in experimental fair division problems.

Achieving Equitability with Subsidy Envy freeness in experimental fair division problems

Reference 20

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verified fuzzy
raw_fallback, observed 2026-08-07T13:06:36.044184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.635254Z digest=sha256:db66334299d0e0e3ddacf2b24d70b0600edc6b85980e4008e33f5b1eeca557f7

Observation b33df510-ed0f-4029-8cd8-a14c607ff69f · outbound

This paper cites Equitable Allocations of Mixtures of Goods and Chores.

Achieving Equitability with Subsidy Equitable Allocations of Mixtures of Goods and Chores

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:06:34.663005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.673930Z digest=sha256:2ed63d13f3b4fc36b69f961ffade10de04c7f3c7f979a1cda97d1f316ed21d72

Observation c467efe1-0d5a-40ed-b25a-08fa9821ade7 · outbound

This paper cites Towards optimal subsidy bounds for envy-freeable allocations.

Achieving Equitability with Subsidy Towards optimal subsidy bounds for envy-freeable allocations

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.873783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.737129Z digest=sha256:1d7121c754a1063524ee37952e175a2d314adca6f0194173ac892e7c966377c0

Observation 756a5ed3-fbd7-41b9-806b-d9c789497429 · outbound

This paper cites On the fair allocation of indivisible goods.

Achieving Equitability with Subsidy On the fair allocation of indivisible goods

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.733285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.806972Z digest=sha256:1df269e20f115ee9b278310a4396c3e84a1ee41ee916264261f830d86f6eda4d

Observation 30a59f24-9622-454e-bf12-c6fac4c42389 · outbound

This paper cites Two birds with one stone: Fairness and welfare via transfers.

Achieving Equitability with Subsidy Two birds with one stone: Fairness and welfare via transfers

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.549043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.910057Z digest=sha256:954c385959c2b5f4e97d66202164e3e83980a888e700e17a7bf0ee1303e8940f

Observation 3eb6e06f-9d4d-4382-9261-97a432267cd4 · outbound

This paper cites Resource-monotonicity and population-monotonicity in connected cake-cutting.

Achieving Equitability with Subsidy Resource-monotonicity and population-monotonicity in connected cake-cutting

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.359440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.969253Z digest=sha256:426ff8b60933429b5595ccee8b254a826170e73a74cbd3c68d6d260e525ec361

Observation 8ea443e6-6174-484b-8424-eeda0374486e · outbound

This paper cites Equitability and welfare maximization for allocating indivisible items.

Achieving Equitability with Subsidy Equitability and welfare maximization for allocating indivisible items

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.199620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.081081Z digest=sha256:1fe8291f91726a0ba964ef46463967f62ea8f286dcaf34d67a577edf97b74fb6

Observation 90a77e5e-a87d-4426-9e6c-a3eaf3e364b1 · outbound

This paper cites A general framework for fair allocation under matroid rank valuations.

Achieving Equitability with Subsidy A general framework for fair allocation under matroid rank valuations

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.003763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.117660Z digest=sha256:591658aeaa485aeb699d9dbbdeb392ecd517e6ab1d1fb12f1b81215da55afbca

Observation 22482584-c257-4aef-8250-a29eacbc6564 · outbound

This paper cites Tree Splitting Based Rounding Scheme for Weighted Proportional Allocations with Subsidy.

Achieving Equitability with Subsidy Tree Splitting Based Rounding Scheme for Weighted Proportional Allocations with Subsidy

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:06:34.489557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.218728Z digest=sha256:9d771cd9e97383e7e3482550b6ac299de2713f24fe5f6a9f9f227de01c2b858a

Observation ece08f3e-b692-4edb-a5d0-3a8c172c9dd8 · outbound

This paper cites One quarter each (on average) ensures proportionality.

Achieving Equitability with Subsidy One quarter each (on average) ensures proportionality

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:34.839970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.307184Z digest=sha256:5330df9a624b6645614e499f776c10ef16eda948de97c4ad09fc8bd7016efb48

Pith citing papers

No inbound Pith citation observations are available.